diff --git a/plots.cabal b/plots.cabal
--- a/plots.cabal
+++ b/plots.cabal
@@ -1,5 +1,5 @@
 name:                plots
-version:             0.1.1.1
+version:             0.1.1.2
 synopsis:            Diagrams based plotting library.
 homepage:            http://github.com/cchalmers/plots
 license:             BSD3
@@ -40,7 +40,7 @@
     Plots.Types.Histogram
     Plots.Types.HeatMap
     Plots.Types.Line
-    -- Plots.Types.Pie
+    Plots.Types.Pie
     Plots.Types.Scatter
     Plots.Util
     Diagrams.Coordinates.Isomorphic
@@ -52,8 +52,8 @@
     colour,
     containers    >= 0.3 && < 0.7,
     data-default  >= 0.5 && < 0.8,
-    diagrams      >= 2.0 && < 2.1,
-    geometry,
+    diagrams-core >= 1.3 && < 1.5,
+    diagrams-lib  >= 1.3 && < 1.5,
     directory,
     distributive,
     transformers,
diff --git a/src/Diagrams/Coordinates/Polar.hs b/src/Diagrams/Coordinates/Polar.hs
--- a/src/Diagrams/Coordinates/Polar.hs
+++ b/src/Diagrams/Coordinates/Polar.hs
@@ -48,8 +48,8 @@
 import           Data.Typeable
 import           GHC.Generics        (Generic1)
 
-import           Geometry.Angle
-import           Geometry.TwoD.Types
+import           Diagrams.Angle
+import           Diagrams.TwoD.Types
 
 import           Linear.Affine
 import           Linear.Metric
diff --git a/src/Plots.hs b/src/Plots.hs
--- a/src/Plots.hs
+++ b/src/Plots.hs
@@ -53,7 +53,7 @@
   , module Plots.Types.Histogram
 
     -- | Wedge and annular wedge. API for wedge, annular wedge and pie.
-  -- , module Plots.Types.Pie
+  , module Plots.Types.Pie
 
     --------------------------------------------------------------------
     -- * Low level
@@ -114,6 +114,6 @@
 import           Plots.Types.HeatMap
 import           Plots.Types.Histogram
 import           Plots.Types.Line
--- import           Plots.Types.Pie
+import           Plots.Types.Pie
 import           Plots.Types.Scatter
 
diff --git a/src/Plots/Axis.hs b/src/Plots/Axis.hs
--- a/src/Plots/Axis.hs
+++ b/src/Plots/Axis.hs
@@ -30,7 +30,6 @@
 
     -- * Predefined axes
   , r2Axis
-  , r3Axis
   , polarAxis
 
     -- ** Base space
@@ -102,32 +101,22 @@
 -- Single axis ---------------------------------------------------------
 
 -- | Render information for a single axis line.
-data SingleAxis v = SingleAxis
--- note the the v is only present for Style v
-  { saLabel     :: AxisLabel v
-  , saLine      :: AxisLine v
-  , saTickLabel :: TickLabels v
-  , saScaling   :: AxisScaling
-  , saGridLines :: GridLines v
-  , saTicks     :: Ticks v
+data SingleAxis b v n = SingleAxis
+-- note the the v is only present for Style v n
+  { saLabel     :: AxisLabel b v n
+  , saLine      :: AxisLine v n
+  , saTickLabel :: TickLabels b v n
+  , saScaling   :: AxisScaling n
+  , saGridLines :: GridLines v n
+  , saTicks     :: Ticks v n
   , saVisible   :: Bool
   }
 
-type instance V (SingleAxis v) = v
-type instance N (SingleAxis v) = Double
-
-instance Default (SingleAxis V2) where
-  def = SingleAxis
-    { saLabel      = def
-    , saLine       = def
-    , saTickLabel  = def
-    , saGridLines  = def
-    , saTicks      = def
-    , saScaling    = def
-    , saVisible    = True
-    }
+type instance V (SingleAxis b v n) = v
+type instance N (SingleAxis b v n) = n
 
-instance Default (SingleAxis V3) where
+instance (TypeableFloat n, Renderable (Text n) b)
+    => Default (SingleAxis b V2 n) where
   def = SingleAxis
     { saLabel      = def
     , saLine       = def
@@ -138,43 +127,43 @@
     , saVisible    = True
     }
 
-instance Functor f => HasTicks f (SingleAxis v) where
+instance Functor f => HasTicks f (SingleAxis b v n) where
   bothTicks = lens saTicks (\sa ticks -> sa {saTicks = ticks})
 
-instance Functor f => HasMajorTicks f (SingleAxis v) where
+instance Functor f => HasMajorTicks f (SingleAxis b v n) where
   majorTicks = bothTicks . majorTicks
 
-instance Functor f => HasMinorTicks f (SingleAxis v) where
+instance Functor f => HasMinorTicks f (SingleAxis b v n) where
   minorTicks = bothTicks . minorTicks
 
-instance Functor f => HasAxisLabel f (SingleAxis v) where
+instance Functor f => HasAxisLabel f (SingleAxis b v n) b where
   axisLabel = lens saLabel (\sa l -> sa {saLabel = l})
 
-instance Functor f => HasTickLabels f (SingleAxis v) where
+instance Functor f => HasTickLabels f (SingleAxis b v n) b where
   tickLabel = lens saTickLabel (\sa tl -> sa {saTickLabel = tl})
 
-instance Functor f => HasAxisLine f (SingleAxis v) where
+instance Functor f => HasAxisLine f (SingleAxis b v n) where
   axisLine = lens saLine (\sa l -> sa {saLine = l})
 
-instance Functor f => HasGridLines f (SingleAxis v) where
+instance Functor f => HasGridLines f (SingleAxis b v n) where
   gridLines = lens saGridLines (\sa l -> sa {saGridLines = l})
 
-instance Functor f => HasMajorGridLines f (SingleAxis v) where
+instance Functor f => HasMajorGridLines f (SingleAxis b v n) where
   majorGridLines = gridLines . majorGridLines
 
-instance Functor f => HasMinorGridLines f (SingleAxis v) where
+instance Functor f => HasMinorGridLines f (SingleAxis b v n) where
   minorGridLines = gridLines . minorGridLines
 
-instance Functor f => HasAxisScaling f (SingleAxis v) where
+instance Functor f => HasAxisScaling f (SingleAxis b v n) where
   axisScaling = lens saScaling (\sa s -> sa {saScaling = s})
 
-instance HasVisibility (SingleAxis v) where
+instance HasVisibility (SingleAxis b v n) where
   visible = lens saVisible (\sa b -> sa {saVisible = b})
 
--- singleAxisScale :: Lens' (SingleAxis v) AxisScale
+-- singleAxisScale :: Lens' (SingleAxis b v n) AxisScale
 -- singleAxisScale = lens saScale (\sa s -> sa {saScale = s})
 
--- singleAxisBound :: Lens' (SingleAxis v) (Bound n)
+-- singleAxisBound :: Lens' (SingleAxis b v n) (Bound n)
 -- singleAxisBound = lens saBounds (\sa b -> sa {saBounds = b})
 
 ------------------------------------------------------------------------
@@ -224,36 +213,36 @@
 --   Plots are usually added to the axis using specific functions for
 --   those plots ('Plots.Types.Line.linePlot, 'Plots.Types.Bar.barPlot').
 --   These functions use 'addPlotable' to add the plot to the axis.
-data Axis c = Axis
-  { _axisStyle   :: AxisStyle (BaseSpace c)
-  , _colourBar   :: ColourBar
-  , _colourBarR  :: (Double,Double)
-  , _legend      :: Legend
-  , _axisTitle   :: Title (BaseSpace c)
+data Axis b c n = Axis
+  { _axisStyle   :: AxisStyle b (BaseSpace c) n
+  , _colourBar   :: ColourBar b n
+  , _colourBarR  :: (n,n)
+  , _legend      :: Legend b n
+  , _axisTitle   :: Title b (BaseSpace c) n
   -- , _axisTitle      :: AxisTitle
 
-  , _axisPlots   :: [DynamicPlot (BaseSpace c)]
-  , _plotModifier :: Endo (StyledPlot (BaseSpace c))
+  , _axisPlots   :: [DynamicPlot b (BaseSpace c) n]
+  , _plotModifier :: Endo (StyledPlot b (BaseSpace c) n)
 
   -- the v in each axis is only used for the style
-  , _axes        :: c (SingleAxis (BaseSpace c))
+  , _axes        :: c (SingleAxis b (BaseSpace c) n)
   } deriving Typeable
 
 -- | Lens onto the separate axes of an axis. Allows changing the
 --   coordinate system as long as the 'BaseSpace' is the same.
 --
 -- @
--- 'axes' :: 'Lens'' ('Axis' c) (c ('SingleAxis' v))
+-- 'axes' :: 'Lens'' ('Axis' b c n) (c ('SingleAxis' b v n))
 -- @
 axes :: (v ~ BaseSpace c, v ~ BaseSpace c')
-     => Lens (Axis c)
-             (Axis c')
-             (c  (SingleAxis v))
-             (c' (SingleAxis v))
+     => Lens (Axis b c  n)
+             (Axis b c' n)
+             (c  (SingleAxis b v n))
+             (c' (SingleAxis b v n))
 axes = lens _axes (\(Axis a1 a2 a3 a4 a5 a6 a7 _) a8 -> Axis a1 a2 a3 a4 a5 a6 a7 a8)
 
 -- | The list of plots currently in the axis.
-axisPlots :: BaseSpace c ~ v => Lens' (Axis c) [DynamicPlot v]
+axisPlots :: BaseSpace c ~ v => Lens' (Axis b c n) [DynamicPlot b v n]
 axisPlots = lens _axisPlots (\a ps -> a {_axisPlots = ps})
 
 -- | Traversal over the current plots in the axis.
@@ -264,7 +253,7 @@
 -- @
 -- 'finalPlots' . 'connectingLine' .= 'True'
 -- @
-currentPlots :: BaseSpace c ~ v => Traversal' (Axis c) (DynamicPlot v)
+currentPlots :: BaseSpace c ~ v => Traversal' (Axis b c n) (DynamicPlot b v n)
 currentPlots = axisPlots . traversed
 
 -- | Setter over the final plot before the axis is rendered.
@@ -277,74 +266,71 @@
 -- 'finalPlots' . 'connectingLine' .= 'True'
 -- @
 --
-finalPlots :: BaseSpace c ~ v => Setter' (Axis c) (StyledPlot v)
+finalPlots :: BaseSpace c ~ v => Setter' (Axis b c n) (StyledPlot b v n)
 finalPlots = sets $ \f a -> a {_plotModifier = _plotModifier a <> Endo f}
 
 -- | Lens onto the modifier set by 'finalPlots'. This gets applied to
 --   all plots in the axis, just before they are rendered.
-plotModifier :: BaseSpace c ~ v => Lens' (Axis c) (Endo (StyledPlot v))
+plotModifier :: BaseSpace c ~ v => Lens' (Axis b c n) (Endo (StyledPlot b v n))
 plotModifier = lens _plotModifier (\a f -> a {_plotModifier = f})
 
 -- Axis instances ------------------------------------------------------
 
-type instance V (Axis c) = BaseSpace c
-type instance N (Axis c) = Double
+type instance V (Axis b v n) = BaseSpace v
+type instance N (Axis b v n) = n
 
-instance (Applicative f, Traversable c) => HasTicks f (Axis c) where
+instance (Applicative f, Traversable c) => HasTicks f (Axis b c n) where
   bothTicks = axes . traverse . bothTicks
 
-instance (Applicative f, Traversable c) => HasMajorTicks f (Axis c) where
+instance (Applicative f, Traversable c) => HasMajorTicks f (Axis b c n) where
   majorTicks = axes . traverse . majorTicks
 
-instance (Applicative f, Traversable c) => HasMinorTicks f (Axis c) where
+instance (Applicative f, Traversable c) => HasMinorTicks f (Axis b c n) where
   minorTicks = axes . traverse . minorTicks
 
-instance (Applicative f, Traversable c) => HasGridLines f (Axis c) where
+instance (Applicative f, Traversable c) => HasGridLines f (Axis b c n) where
   gridLines = axes . traverse . gridLines
 
-instance (Applicative f, Traversable c) => HasMajorGridLines f (Axis c) where
+instance (Applicative f, Traversable c) => HasMajorGridLines f (Axis b c n) where
   majorGridLines = axes . traverse . majorGridLines
 
-instance (Applicative f, Traversable c) => HasMinorGridLines f (Axis c) where
+instance (Applicative f, Traversable c) => HasMinorGridLines f (Axis b c n) where
   minorGridLines = axes . traverse . minorGridLines
 
-instance (Applicative f, Traversable c) => HasAxisLine f (Axis c) where
-  axisLine = axes . traverse . axisLine
-
-instance (Applicative f, Traversable c) => HasAxisLabel f (Axis c) where
+instance (Applicative f, Traversable c) => HasAxisLabel f (Axis b c n) b where
   axisLabel = axes . traverse . axisLabel
 
-instance (Applicative f, Traversable c) => HasTickLabels f (Axis c) where
+instance (Applicative f, Traversable c) => HasTickLabels f (Axis b c n) b where
   tickLabel = axes . traverse . tickLabel
 
-instance (Applicative f, Traversable c) => HasAxisScaling f (Axis c) where
+instance (Applicative f, Traversable c) => HasAxisScaling f (Axis b c n) where
   axisScaling = axes . traverse . axisScaling
 
-instance Settable f => HasPlotOptions f (Axis c) where
+instance Settable f => HasPlotOptions f (Axis b c n) b where
   plotOptions = finalPlots . plotOptions
 
-instance Settable f => HasPlotStyle f (Axis c) where
+instance Settable f => HasPlotStyle f (Axis b c n) b where
   plotStyle = finalPlots . plotStyle
 
-instance HasLegend (Axis c) where
+instance HasLegend (Axis b c n) b where
   legend = lens _legend (\a l -> a {_legend = l})
 
-instance HasTitle (Axis c) where
+instance HasTitle (Axis b c n) b where
   title = lens _axisTitle (\a t -> a {_axisTitle = t})
 
 -- | The size used for the rendered axis.
-axisSize :: HasLinearMap c => Lens' (Axis c) (SizeSpec c Double)
-axisSize = axes . column renderSize . iso mkSizeSpec getSpec
+axisSize :: (HasLinearMap c, Num n, Ord n) => Lens' (Axis b c n) (SizeSpec c n)
+axisSize = axes . column renderSize . iso mkSizeSpec getSpec -- column axisScaling . asSizeSpec -- iso mkSizeSpec getSpec
 
 -- | The range used for the colour bar limits. This is automatically set
 --   when using 'heatMap' or 'heatMap''
-colourBarRange :: Lens' (Axis v) (Double,Double)
+colourBarRange :: Lens' (Axis b v n) (n,n)
 colourBarRange = lens _colourBarR (\a r -> a {_colourBarR = r})
 
-instance HasAxisStyle (Axis v) where
+instance HasAxisStyle (Axis b v n) b where
   axisStyle = lens _axisStyle (\a sty -> a {_axisStyle = sty})
 
-instance HasColourBar (Axis v) where
+instance HasColourBar (Axis b v n) b where
   colourBar = lens _colourBar (\a cb -> a {_colourBar = cb})
 
 -- Axis functions ------------------------------------------------------
@@ -352,11 +338,11 @@
 -- $plotable
 -- The 'Plotable' class defines ways of converting the data type to a
 -- diagram for some axis. There are several variants for adding an axis
--- with constraints @('InSpace' v a, 'Plotable' a b)@:
+-- with constraints @('InSpace' v n a, 'Plotable' a b)@:
 --
 -- @
--- 'addPlotable'  :: a -> 'PlotState' a b -> 'AxisState' v
--- 'addPlotable'' :: a ->                  'AxisState' v
+-- 'addPlotable'  ::           a -> 'PlotState' a b -> 'AxisState' b v n
+-- 'addPlotable''   ::           a ->                  'AxisState' b v n
 -- @
 --
 -- The last argument is a 'PlotState' so you can use @do@ notation to
@@ -377,23 +363,23 @@
 
 -- | Add a 'Plotable' 'Plot' to an 'Axis'.
 addPlot
-  :: (InSpace (BaseSpace c) Double p, MonadState (Axis c) m, Plotable p)
-  => Plot p -- ^ the plot
-  -> m ()   -- ^ add plot to the 'Axis'
+  :: (InSpace (BaseSpace c) n p, MonadState (Axis b c n) m, Plotable p b)
+  => Plot p b -- ^ the plot
+  -> m ()     -- ^ add plot to the 'Axis'
 addPlot p = axisPlots <>= [DynamicPlot p]
 
 -- | Add something 'Plotable' to the 'Axis' with a stateful modification
 --   of the 'Plot'.
 addPlotable
-  :: (InSpace (BaseSpace c) Double p, MonadState (Axis c) m, Plotable p, HasLinearMap (BaseSpace c))
+  :: (InSpace (BaseSpace c) n p, MonadState (Axis b c n) m, Plotable p b)
   => p -- ^ the raw plot
-  -> State (Plot p) () -- ^ changes to the plot
+  -> State (Plot p b) () -- ^ changes to the plot
   -> m () -- ^ add plot to the 'Axis'
 addPlotable p s = addPlot $ execState s (mkPlot p)
 
 -- | Simple version of 'AddPlotable' without any changes 'Plot'.
 addPlotable'
-  :: (InSpace (BaseSpace c) Double p, MonadState (Axis c) m, Plotable p, HasLinearMap (BaseSpace c))
+  :: (InSpace (BaseSpace v) n p, MonadState (Axis b v n) m, Plotable p b)
   => p    -- ^ the raw plot
   -> m () -- ^ add plot to the 'Axis'
 addPlotable' p = addPlotable p (return ())
@@ -403,7 +389,11 @@
 ------------------------------------------------------------------------
 
 -- | The default axis for plots in the 'V2' coordinate system.
-r2Axis :: Axis V2
+r2Axis
+  :: (TypeableFloat n,
+     Renderable (Text n) b,
+     Renderable (Path V2 n) b)
+  => Axis b V2 n
 r2Axis = Axis
   { _axisStyle  = fadedColours
   , _colourBar  = defColourBar
@@ -417,110 +407,95 @@
   , _axes = pure def
   }
 
--- | The default axis for plots in the 'V2' coordinate system.
-r3Axis :: Axis V3
-r3Axis = Axis
-  { _axisStyle  = fadedColours3D
-  , _colourBar  = defColourBar
-  , _colourBarR = (0,1)
-  , _axisTitle  = def
-
-  , _legend       = def
-  , _axisPlots    = []
-  , _plotModifier = mempty
-
-  , _axes = pure def
-  }
-
 -- The x-axis ----------------------------------------------------------
 
 -- | Lens onto the x-axis of an 'Axis'.
-xAxis :: R1 c => Lens' (Axis c) (SingleAxis (BaseSpace c))
+xAxis :: R1 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)
 xAxis = axes . _x
 
 -- | The label for the x-axis. Shorthand for @'xAxis' . 'axisLabelText'@.
-xLabel :: R1 c => Lens' (Axis c) String
+xLabel :: R1 c => Lens' (Axis b c n) String
 xLabel = xAxis . axisLabelText
 
 -- | The minimum x value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-xMin :: R1 c => Lens' (Axis c) (Maybe Double)
+xMin :: R1 c => Lens' (Axis b c n) (Maybe n)
 xMin = xAxis . boundMin
 
 -- | The minimum x value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-xMax :: R1 c => Lens' (Axis c) (Maybe Double)
+xMax :: R1 c => Lens' (Axis b c n) (Maybe n)
 xMax = xAxis . boundMax
 
 -- The y-axis ----------------------------------------------------------
 
 -- | Lens onto the y-axis of an 'Axis'.
-yAxis :: R2 c => Lens' (Axis c) (SingleAxis (BaseSpace c))
+yAxis :: R2 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)
 yAxis = axes . _y
 
 -- | The label for the y-axis. Shorthand for @'yAxis' . 'axisLabelText'@.
-yLabel :: R2 c => Lens' (Axis c) String
+yLabel :: R2 c => Lens' (Axis b c n) String
 yLabel = yAxis . axisLabelText
 
 -- | The minimum y value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-yMin :: R2 c => Lens' (Axis c) (Maybe Double)
+yMin :: R2 c => Lens' (Axis b c n) (Maybe n)
 yMin = yAxis . boundMin
 
 -- | The minimum y value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-yMax :: R2 c => Lens' (Axis c) (Maybe Double)
+yMax :: R2 c => Lens' (Axis b c n) (Maybe n)
 yMax = yAxis . boundMax
 
 -- The z-axis ----------------------------------------------------------
 
 -- | Lens onto the z-axis of an 'Axis'.
-zAxis :: R3 c => Lens' (Axis c) (SingleAxis (BaseSpace c))
+zAxis :: R3 c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)
 zAxis = axes . _z
 
 -- | The label for the z-axis. Shorthand for @'zAxis' . 'axisLabelText'@.
-zLabel :: R3 c => Lens' (Axis c) String
+zLabel :: R3 c => Lens' (Axis b c n) String
 zLabel = zAxis . axisLabelText
 
 -- | The minimum z value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-zMin :: R3 c => Lens' (Axis c) (Maybe Double)
+zMin :: R3 c => Lens' (Axis b c n) (Maybe n)
 zMin = zAxis . boundMin
 
 -- | The minimum z value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
-zMax :: R3 c => Lens' (Axis c) (Maybe Double)
+zMax :: R3 c => Lens' (Axis b c n) (Maybe n)
 zMax = zAxis . boundMax
 
 -- The r-axis ----------------------------------------------------------
 
 -- | Lens onto the radial axis of an 'Axis'.
-rAxis :: Radial c => Lens' (Axis c) (SingleAxis (BaseSpace c))
+rAxis :: Radial c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)
 rAxis = axes . _radial
 
 -- | The label for the radial axis. Shorthand for @'rAxis' . 'axisLabelText'@.
-rLabel :: Radial c => Lens' (Axis c) String
+rLabel :: Radial c => Lens' (Axis b c n) String
 rLabel = rAxis . axisLabelText
 
 -- | The minimum z value for the axis. If the value if 'Nothing' (the
 --   'Default'), the bounds will be infered by the plots in the axis.
--- rMin :: R3 c => Lens' (Axis c) (Maybe Double)
+-- rMin :: R3 c => Lens' (Axis b c n) (Maybe n)
 -- rMin = zAxis . boundMin
 
 -- | The minimum radial value for the axis. If the value if 'Nothing'
 --   (the 'Default'), the bounds will be infered by the plots in the
 --   axis.
-rMax :: Radial c => Lens' (Axis c) (Maybe Double)
+rMax :: Radial c => Lens' (Axis b c n) (Maybe n)
 rMax = rAxis . boundMax
 
 -- The theta-axis ------------------------------------------------------
 
 -- | Lens onto the radial axis of an 'Axis'.
-thetaAxis :: Circle c => Lens' (Axis c) (SingleAxis (BaseSpace c))
+thetaAxis :: Circle c => Lens' (Axis b c n) (SingleAxis b (BaseSpace c) n)
 thetaAxis = axes . el etheta
 
 -- | The label for the radial axis. Shorthand for @'rAxis' . 'axisLabelText'@.
-thetaLabel :: Circle c => Lens' (Axis c) String
+thetaLabel :: Circle c => Lens' (Axis b c n) String
 thetaLabel = thetaAxis . axisLabelText
 
 
@@ -546,7 +521,11 @@
 
 -- R3 Axis
 
-polarAxis :: Axis Polar
+polarAxis
+  :: (TypeableFloat n,
+      Renderable (Text n) b,
+      Renderable (Path V2 n) b)
+  => Axis b Polar n
 polarAxis = Axis
   { _axisStyle  = fadedColours
   , _colourBar  = defColourBar
diff --git a/src/Plots/Axis/ColourBar.hs b/src/Plots/Axis/ColourBar.hs
--- a/src/Plots/Axis/ColourBar.hs
+++ b/src/Plots/Axis/ColourBar.hs
@@ -39,8 +39,9 @@
 
 import           Data.Bool               (bool)
 import qualified Data.Foldable           as F
--- import           Diagrams.Core.Transform (fromSymmetric)
-import           Diagrams.Prelude        hiding (orient)
+import           Data.Typeable
+import           Diagrams.Core.Transform (fromSymmetric)
+import           Diagrams.Prelude        hiding (gap)
 import           Diagrams.TwoD.Text
 import           Plots.Axis.Grid
 import           Plots.Axis.Labels
@@ -49,30 +50,29 @@
 import           Plots.Types
 import           Plots.Util
 
-import Geometry.TwoD.Transform
-
 -- | Options for drawing a colour bar. Note that for an axis, the
 --   'ColourMap' is stored in the 'AxisStyle'. These options are for
 --   other aspects of the bar, not the colours used.
-data ColourBar = ColourBar
+data ColourBar b n = ColourBar
   { cbPlacement  :: Placement
   , cbVisible    :: Bool
-  , cbTicks      :: MajorTicks V2
-  , cbMinorTicks :: MinorTicks V2
-  , cbGridLines  :: MajorGridLines V2
-  , cbTickLabels :: TickLabels V2
-  , cbDraw       :: ColourMap -> Diagram V2
-  , cbWidth      :: Double
-  , cbLengthFun  :: Double -> Double
-  , cbGap        :: Double
-  , cbStyle      :: Style V2 Double
+  , cbTicks      :: MajorTicks V2 n
+  , cbMinorTicks :: MinorTicks V2 n
+  , cbGridLines  :: MajorGridLines V2 n
+  , cbTickLabels :: TickLabels b V2 n
+  , cbDraw       :: ColourMap -> QDiagram b V2 n Any
+  , cbWidth      :: n
+  , cbLengthFun  :: n -> n
+  , cbGap        :: n
+  , cbStyle      :: Style V2 n
   }
 
-type instance V ColourBar = V2
-type instance N ColourBar = Double
+type instance V (ColourBar b n) = V2
+type instance N (ColourBar b n) = n
 
 -- | The default colour bar.
-defColourBar :: ColourBar
+defColourBar :: (Renderable (Text n) b, Renderable (Path V2 n) b, TypeableFloat n)
+             => ColourBar b n
 defColourBar = ColourBar
   { cbPlacement   = rightMid
   , cbVisible     = False
@@ -87,9 +87,9 @@
   , cbStyle       = mempty
   }
 
-class HasColourBar a where
+class HasColourBar a b | a -> b where
   -- | Lens onto the 'ColourBar'.
-  colourBar :: Lens' a ColourBar
+  colourBar :: Lens' a (ColourBar b (N a))
 
   -- | How to draw the colour bar. Expects a 1 by 1 box with the
   --   gradient going from left to right, without an outline with origin
@@ -100,40 +100,40 @@
   --   'Plots.Style.axisColourMap' from "Plots.Style"
   --
   --   Default is 'gradientColourBar'.
-  colourBarDraw :: Lens' a (ColourMap -> Diagram V2)
+  colourBarDraw :: Lens' a (ColourMap -> QDiagram b V2 (N a) Any)
   colourBarDraw = colourBar . lens cbDraw (\c a -> c {cbDraw = a})
 
   -- | The width (orthogonal to the colour bar direction) of the colour
   --   bar.
   --
   --   'Default' is @20@.
-  colourBarWidth :: Lens' a Double
+  colourBarWidth :: Lens' a (N a)
   colourBarWidth = colourBar . lens cbWidth (\c a -> c {cbWidth = a})
 
   -- | Set the length of the colour bar given the length of the axis the
   --   colour bar is aligned to.
   --
   --   'Default' is 'id'.
-  colourBarLengthFunction :: Lens' a (Double -> Double)
+  colourBarLengthFunction :: Lens' a (N a -> N a)
   colourBarLengthFunction = colourBar . lens cbLengthFun (\c a -> c {cbLengthFun = a})
 
   -- | Gap between the axis and the colour bar (if rendered with an axis).
   --
   --   'Default' is @20@.
-  colourBarGap :: Lens' a Double
+  colourBarGap :: Lens' a (N a)
   colourBarGap = colourBar . lens cbGap (\c a -> c {cbGap = a})
 
   -- | Style used for the outline of a colour bar.
-  colourBarStyle :: Lens' a (Style V2 Double)
+  colourBarStyle :: Lens' a (Style V2 (N a))
   colourBarStyle = colourBar . lens cbStyle (\c a -> c {cbStyle = a})
 
-instance HasColourBar ColourBar where
+instance HasColourBar (ColourBar b n) b where
   colourBar = id
 
-instance HasGap ColourBar where
+instance HasGap (ColourBar b n) where
   gap = colourBarGap
 
-instance HasPlacement ColourBar where
+instance HasPlacement (ColourBar b n) where
   placement = lens cbPlacement (\c p -> c {cbPlacement = p})
 
 -- This is a kinda strange instance that I'm using as an experiment.
@@ -153,7 +153,7 @@
 -- When reversing the direction we map E <-> S and N <-> W. The gap
 -- direction is rotated to match the new position and anchor has its x
 -- and y flipped.
-instance HasOrientation ColourBar where
+instance HasOrientation (ColourBar b n) where
   orientation = lens getter setter where
 
     getter p
@@ -183,32 +183,32 @@
                           & placementAnchor    %~ flipX_Y
                           & gapDirection ._Dir %~ flipX_Y
 
-instance ApplyStyle ColourBar
-instance HasStyle ColourBar where
-  style = colourBarStyle
+instance Typeable n => HasStyle (ColourBar b n) where
+  applyStyle sty = colourBarStyle %~ applyStyle sty
 
-instance Functor f => HasMajorTicks f ColourBar where
+instance Functor f => HasMajorTicks f (ColourBar b n) where
   majorTicks = lens cbTicks (\c a -> c {cbTicks = a})
 
-instance Functor f => HasMinorTicks f ColourBar where
+instance Functor f => HasMinorTicks f (ColourBar b n) where
   minorTicks = lens cbMinorTicks (\c a -> c {cbMinorTicks = a})
 
-instance Functor f => HasMajorGridLines f ColourBar where
+instance Functor f => HasMajorGridLines f (ColourBar b n) where
   majorGridLines = lens cbGridLines (\c a -> c {cbGridLines = a})
 
-instance Functor f => HasTickLabels f ColourBar where
+instance Functor f => HasTickLabels f (ColourBar b n) b where
   tickLabel = lens cbTickLabels (\c a -> c {cbTickLabels = a})
 
-instance HasVisibility ColourBar where
+instance HasVisibility (ColourBar b n) where
   visible = lens cbVisible (\c a -> c {cbVisible = a})
 
 -- | Add a colour bar to an object, using the bounding box for the object.
 addColourBar
-  :: BoundingBox V2 Double -- ^ bounding box to place against
-  -> ColourBar
+  :: (TypeableFloat n, Renderable (Path V2 n) b)
+  => BoundingBox V2 n -- ^ bounding box to place against
+  -> ColourBar b n --
   -> ColourMap
-  -> (Double,Double)
-  -> Diagram V2
+  -> (n,n)
+  -> QDiagram b V2 n Any
 addColourBar bb cbo@ColourBar {..} cm bnds
   | cbVisible = placeAgainst bb cbPlacement cbGap cb
   | otherwise = mempty
@@ -224,11 +224,12 @@
 -- | Render a colour bar by it's self at a given width. Note this
 --   ignores 'colourBarGap' and 'colourBarLengthFunction'.
 renderColourBar
-  :: ColourBar -- ^ options for colour bar
-  -> ColourMap -- ^ map to use
-  -> (Double,Double)  -- ^ bounds of the values on the colour bar
-  -> Double         -- ^ length of the colour bar
-  -> Diagram V2
+  :: (TypeableFloat n, Renderable (Path V2 n) b)
+  => ColourBar b n -- ^ options for colour bar
+  -> ColourMap     -- ^ map to use
+  -> (n,n)         -- ^ bounds of the values on the colour bar
+  -> n             -- ^ length of the colour bar
+  -> QDiagram b V2 n Any
 renderColourBar cb@ColourBar {..} cm bnds@(lb,ub) l
   | cbVisible = bar # xy id reflectY
                     # o id (reflectY . _reflectX_Y)
@@ -257,7 +258,7 @@
   bar = outline <> tks <> minorTks <> gLines <> colours
 
   -- the outline
-  outline = rect l w # applyStyle (cbStyle & _fillTexture ?~ _AC ## transparent)
+  outline = rect l w # applyStyle (cbStyle & _fillTexture .~ _AC ## transparent)
 
   -- displaying the colour map
   colours = cbDraw cm # centerXY # scaleX l # scaleY w
@@ -268,6 +269,7 @@
   tks
     | cbTicks ^. hidden = mempty
     | otherwise = F.foldMap (\x -> aTick # translate (V2 (f x) (-w/2))) tickXs'
+                    # applyStyle (cbTicks ^. majorTicksStyle)
   aTick = someTick (cbTicks ^. majorTicksAlignment) (cbTicks ^. majorTicksLength)
 
   minorTickXs  = view minorTicksFunction cbMinorTicks tickXs bnds
@@ -280,17 +282,17 @@
 
   someTick tType d = case tType of
     TickSpec (fromRational -> aa) (fromRational -> bb)
-             -> fromVertices [mkP2 0 (-d*bb), mkP2 0 (d*aa)]
-    AutoTick -> fromVertices [mkP2 0 (-d)   , mkP2 0 d     ]
+             -> mkP2 0 (-d*bb) ~~ mkP2 0 (d*aa)
+    AutoTick -> mkP2 0 (-d)    ~~ mkP2 0 d
 
   -- grid lines
   gridXs = filter inRange $ view majorGridLinesFunction cbGridLines tickXs bnds
   gLines
     | cbGridLines ^. hidden = mempty
     | otherwise             = F.foldMap mkGridLine gridXs
-                                # (stroke :: Path V2 Double -> Diagram V2)
+                                # strokePath
                                 # applyStyle (cbGridLines ^. majorGridLinesStyle)
-  mkGridLine x = fromVertices [mkP2 (f x) (-w/2), mkP2 (f x) (w/2)]
+  mkGridLine x = mkP2 (f x) (-w/2) ~~ mkP2 (f x) (w/2)
 
   -- tick labels
   tickLabelXs = view tickLabelFunction cbTickLabels tickXs' bnds
@@ -319,21 +321,22 @@
 --   This may not be supported by all backends.
 --
 --   <<diagrams/src_Plots_Axis_ColourBar_gradientColourBarExample.svg#diagram=gradientColourBarExample&width=600>>
-gradientColourBar :: ColourMap -> Diagram V2
+gradientColourBar :: (TypeableFloat n, Renderable (Path V2 n) b) => ColourMap -> QDiagram b V2 n Any
 gradientColourBar cm =
   rect 1 1
     # fillTexture grad
     # lw none
   where
-    stops = map (\(x,c) -> (c,fromRational x)) (colourList cm)
-    grad  = mkLinearGradient stops origin unitX -- defaultLG & _LG . lGradStops .~ stops
+    stops = map (\(x,c) -> GradientStop (SomeColor c) (fromRational x)) (colourList cm)
+    grad  = defaultLG & _LG . lGradStops .~ stops
 
 -- | Construct a colour bar made up of @n@ solid square paths. The final
 --   diagram is 1 by 1, with origin at the middle of the left side. This
 --   can be used as the 'colourBarDraw' function.
 --
 --   <<diagrams/src_Plots_Axis_ColourBar_pathColourBarExample.svg#diagram=pathColourBarExample&width=600>>
-pathColourBar :: Int -> ColourMap -> Diagram V2
+pathColourBar :: (TypeableFloat n, Renderable (Path V2 n) b)
+              => Int -> ColourMap -> QDiagram b V2 n Any
 pathColourBar n cm = ifoldMap mkR xs
   where
     mkR i x = rect d' 1
@@ -355,7 +358,7 @@
 flipX_Y (V2 x y) = V2 (-y) (-x)
 
 _reflectionX_Y :: (Additive v, R2 v, Num n) => Transformation v n
-_reflectionX_Y = undefined -- fromSymmetric $ (_xy %~ flipX_Y) <-> (_xy %~ flipX_Y)
+_reflectionX_Y = fromSymmetric $ (_xy %~ flipX_Y) <-> (_xy %~ flipX_Y)
 
 _reflectX_Y :: (InSpace v n t, R2 v, Transformable t) => t -> t
 _reflectX_Y = transform _reflectionX_Y
diff --git a/src/Plots/Axis/Grid.hs b/src/Plots/Axis/Grid.hs
--- a/src/Plots/Axis/Grid.hs
+++ b/src/Plots/Axis/Grid.hs
@@ -63,14 +63,14 @@
 -- Major grid lines
 ------------------------------------------------------------------------
 
-data MajorGridLines v = MajorGridLines
-  { magFun     :: GridLineFunction Double
-  , magStyle   :: Style v Double
+data MajorGridLines v n = MajorGridLines
+  { magFun     :: GridLineFunction n
+  , magStyle   :: Style v n
   , magVisible :: Bool
   } deriving Typeable
 
-type instance V (MajorGridLines v) = v
-type instance N (MajorGridLines v) = Double
+type instance V (MajorGridLines v n) = v
+type instance N (MajorGridLines v n) = n
 
 class HasMajorGridLines f a where
   -- | The options for how to draw the grid lines. This can be used on
@@ -81,46 +81,45 @@
   -- 'majorGridLines' :: 'Lens''      ('SingleAxis' b v n) ('GridLines' v n)
   -- 'majorGridLines' :: 'Lens''      ('GridLines' v n)    ('GridLines' v n)
   -- @
-  majorGridLines :: LensLike' f a (MajorGridLines (V a))
+  majorGridLines :: LensLike' f a (MajorGridLines (V a) (N a))
 
   -- | The function to calculate location of the major grid lines given
   --   location of the major ticks and bounds.
-  majorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction Double)
+  majorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction (N a))
   majorGridLinesFunction = majorGridLines . lens magFun (\gl maf -> gl {magFun = maf})
 
   -- | The style applied to the major grid lines.
-  majorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  majorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   majorGridLinesStyle = majorGridLines . lens magStyle (\gl sty -> gl {magStyle = sty})
 
-instance HasMajorGridLines f (MajorGridLines v) where
+instance HasMajorGridLines f (MajorGridLines v n) where
   majorGridLines = id
 
-instance Default (MajorGridLines v) where
+instance (Typeable n, Floating n) => Default (MajorGridLines v n) where
   def = MajorGridLines
     { magFun     = onTicksGridLineFunction
     , magStyle   = mempty # lwO 0.8
     , magVisible = True
     }
 
-instance HasVisibility (MajorGridLines v) where
+instance HasVisibility (MajorGridLines v n) where
   visible = lens magVisible (\gl b -> gl {magVisible = b})
 
-instance ApplyStyle (MajorGridLines v)
-instance HasStyle (MajorGridLines v) where
-  style = majorGridLinesStyle
+instance Typeable n => HasStyle (MajorGridLines v n) where
+  applyStyle s = majorGridLinesStyle %~ applyStyle s
 
 ------------------------------------------------------------------------
 -- Minor grid lines
 ------------------------------------------------------------------------
 
-data MinorGridLines v = MinorGridLines
-  { migFun     :: GridLineFunction Double
-  , migStyle   :: Style v Double
+data MinorGridLines v n = MinorGridLines
+  { migFun     :: GridLineFunction n
+  , migStyle   :: Style v n
   , migVisible :: Bool
   } deriving Typeable
 
-type instance V (MinorGridLines v) = v
-type instance N (MinorGridLines v) = Double
+type instance V (MinorGridLines v n) = v
+type instance N (MinorGridLines v n) = n
 
 class HasMinorGridLines f a where
   -- | The options for how to draw the grid lines. This can be used on
@@ -131,22 +130,22 @@
   -- 'minorGridLines' :: 'Lens''      ('SingleAxis' b v n) ('GridLines' v n)
   -- 'minorGridLines' :: 'Lens''      ('GridLines' v n)    ('GridLines' v n)
   -- @
-  minorGridLines :: LensLike' f a (MinorGridLines (V a))
+  minorGridLines :: LensLike' f a (MinorGridLines (V a) (N a))
 
   -- | The function to calculate location of the minor grid lines given
   --   location of the minor ticks and bounds.
-  minorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction Double)
+  minorGridLinesFunction :: Functor f => LensLike' f a (GridLineFunction (N a))
   minorGridLinesFunction = minorGridLines . lens migFun (\gl mif -> gl {migFun = mif})
 
 
   -- | The style applied to the minor grid lines.
-  minorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  minorGridLinesStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   minorGridLinesStyle = minorGridLines . lens migStyle (\gl sty -> gl {migStyle = sty})
 
-instance HasMinorGridLines f (MinorGridLines v) where
+instance HasMinorGridLines f (MinorGridLines v n) where
   minorGridLines = id
 
-instance Default (MinorGridLines v) where
+instance (Typeable n, Floating n) => Default (MinorGridLines v n) where
   def = MinorGridLines
     { migFun     = onTicksGridLineFunction
     , migStyle   = mempty # lwO 0.5
@@ -154,12 +153,11 @@
     }
 
 -- | Hidden by default.
-instance HasVisibility (MinorGridLines v) where
+instance HasVisibility (MinorGridLines v n) where
   visible = lens migVisible (\gl b -> gl {migVisible = b})
 
-instance ApplyStyle (MinorGridLines v)
-instance HasStyle (MinorGridLines v) where
-  style = minorGridLinesStyle
+instance Typeable n => HasStyle (MinorGridLines v n) where
+  applyStyle s = minorGridLinesStyle %~ applyStyle s
 
 ------------------------------------------------------------------------
 -- Grid lines helpers
@@ -186,7 +184,7 @@
 -- @
 gridLinesVisible :: (HasGridLines f a, Applicative f) => LensLike' f a Bool
 gridLinesVisible = gridLines . vis where
-  vis :: Traversal' (GridLines v) Bool
+  vis :: Traversal' (GridLines v n) Bool
   vis f a =
        (\m mn -> a & majorGridLines . visible .~ m & minorGridLines . visible .~ mn)
          <$> f (a ^. majorGridLines . visible) <*> f (a ^. minorGridLines . visible)
@@ -196,33 +194,33 @@
 ------------------------------------------------------------------------
 
 -- | Type holding information about both major and minor grid lines.
-data GridLines v = GridLines
-  { majGrid     :: MajorGridLines v
-  , minGrid     :: MinorGridLines v
+data GridLines v n = GridLines
+  { majGrid     :: MajorGridLines v n
+  , minGrid     :: MinorGridLines v n
   } deriving Typeable
 
-type instance V (GridLines v) = v
-type instance N (GridLines v) = Double
+type instance V (GridLines v n) = v
+type instance N (GridLines v n) = n
 
 class (HasMinorGridLines f a, HasMajorGridLines f a) => HasGridLines f a where
-  gridLines :: LensLike' f a (GridLines (V a))
+  gridLines :: LensLike' f a (GridLines (V a) (N a))
 
-instance Functor f => HasGridLines f (GridLines v) where
+instance Functor f => HasGridLines f (GridLines v n) where
   gridLines = id
 
-instance Default (GridLines v) where
+instance (Typeable n, Floating n) => Default (GridLines v n) where
   def = GridLines
     { majGrid = def
     , minGrid = def
     }
 
-instance Functor f => HasMajorGridLines f (GridLines v) where
+instance Functor f => HasMajorGridLines f (GridLines v n) where
   majorGridLines = lens majGrid (\g a -> g {majGrid = a})
 
-instance Functor f => HasMinorGridLines f (GridLines v) where
+instance Functor f => HasMinorGridLines f (GridLines v n) where
   minorGridLines = lens minGrid (\g a -> g {minGrid = a})
 
-instance ApplyStyle (GridLines v) where
+instance Typeable n => HasStyle (GridLines v n) where
   applyStyle s = (majorGridLines %~ applyStyle s) . (minorGridLines %~ applyStyle s)
 
 -- | Hide both major and minor grid lines.
@@ -250,9 +248,9 @@
   majorGridLines . visible .= True
 
 -- | Traversal over both the major and minor grid styles. This can be used at several levels in the axis:
-gridLinesStyle :: (HasGridLines f a, Applicative f) => LensLike' f a (Style (V a) Double)
+gridLinesStyle :: (HasGridLines f a, Applicative f) => LensLike' f a (Style (V a) (N a))
 gridLinesStyle = gridLines . styles where
-  styles :: Traversal' (GridLines v) (Style v Double)
+  styles :: Traversal' (GridLines v n) (Style v n)
   styles f a =
     (\m mn -> a & majorGridLinesStyle .~ m & minorGridLinesStyle .~ mn)
       <$> f (a ^. majorGridLinesStyle) <*> f (a ^. minorGridLinesStyle)
diff --git a/src/Plots/Axis/Labels.hs b/src/Plots/Axis/Labels.hs
--- a/src/Plots/Axis/Labels.hs
+++ b/src/Plots/Axis/Labels.hs
@@ -46,7 +46,7 @@
 
 -- | Function to render the axis label from a string. This is very basic
 --   now and will be replace by a more sophisticated system.
-type TextFunction v = TextAlignment Double -> String -> Diagram v
+type TextFunction b v n = TextAlignment n -> String -> QDiagram b v n Any
 
 ------------------------------------------------------------------------
 -- Axis labels
@@ -74,45 +74,45 @@
 -- @
 --
 --   See 'HasAxisLabel' for more advanced settings.
-data AxisLabel v = AxisLabel
-  { alFun       :: TextFunction v
+data AxisLabel b v n = AxisLabel
+  { alFun       :: TextFunction b v n
   , alText      :: String
-  , alStyle     :: Style v Double
-  , alGap       :: Double
+  , alStyle     :: Style v n
+  , alGap       :: n
   , alPos       :: AxisLabelPosition
   , alPlacement :: AxisLabelPlacement
   , alVisible   :: Bool
   }
 
-type instance V (AxisLabel v) = v
-type instance N (AxisLabel v) = Double
+type instance V (AxisLabel b v n) = v
+type instance N (AxisLabel b v n) = n
 
-class HasAxisLabel f a where
+class HasAxisLabel f a b | a -> b where
   -- | The options for the label of the axis. This can be used on
   --   various levels of the axis:
   --
   -- @
   -- 'axisLabel' :: 'Traversal'' ('Axis' b c n)       ('AxisLabel' ('BaseSpace' c) n)
-  -- 'axisLabel' :: 'Lens''      ('SingleAxis' v) ('AxisLabel' v n)
+  -- 'axisLabel' :: 'Lens''      ('SingleAxis' b v n) ('AxisLabel' v n)
   -- 'axisLabel' :: 'Lens''      ('AxisLabel' v n)    ('AxisLabel' v n)
   -- @
-  axisLabel :: LensLike' f a (AxisLabel (V a))
+  axisLabel :: LensLike' f a (AxisLabel b (V a) (N a))
 
   -- | The text to use when labeling the axis.
   axisLabelText :: Functor f => LensLike' f a String
   axisLabelText = axisLabel . lens alText (\al txt -> al {alText = txt})
 
   -- | The 'TextFunction' to render the text of the axis label.
-  axisLabelTextFunction :: Functor f => LensLike' f a (TextFunction (V a))
+  axisLabelTextFunction :: Functor f => LensLike' f a (TextFunction b (V a) (N a))
   axisLabelTextFunction = axisLabel . lens alFun (\al f -> al {alFun = f})
 
   -- | The gap between the axis and the labels, in the direction
   --   corresponding to the 'axisLabelPosition'.
-  axisLabelGap :: Functor f => LensLike' f a Double
+  axisLabelGap :: Functor f => LensLike' f a (N a)
   axisLabelGap = axisLabel . lens alGap (\al sty -> al {alGap = sty})
 
   -- | The 'Style' to use on the rendered text.
-  axisLabelStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  axisLabelStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   axisLabelStyle = axisLabel . lens alStyle (\al sty -> al {alStyle = sty})
 
   -- | The position the label will be placed parallel to the axis.
@@ -124,37 +124,25 @@
   axisLabelPlacement :: Functor f => LensLike' f a AxisLabelPosition
   axisLabelPlacement = axisLabel . lens alPos (\al sty -> al {alPos = sty})
 
-instance HasAxisLabel f (AxisLabel v) where
+instance HasAxisLabel f (AxisLabel b v n) b where
   axisLabel = id
 
-instance ApplyStyle (AxisLabel v)
-instance HasStyle (AxisLabel v) where
-  style = axisLabelStyle
+instance Typeable n => HasStyle (AxisLabel b v n) where
+  applyStyle = over axisLabelStyle . applyStyle
 
-instance HasVisibility (AxisLabel v) where
+instance HasVisibility (AxisLabel b v n) where
   visible = lens alVisible (\al b -> al {alVisible = b})
 
-instance HasGap (AxisLabel v) where
+instance HasGap (AxisLabel b v n) where
   gap = axisLabelGap
 
-instance Default (AxisLabel V2) where
+instance (TypeableFloat n, Renderable (Text n) b)
+    => Default (AxisLabel b V2 n) where
   def = AxisLabel
     { alFun       = mkText
     , alText      = ""
     , alStyle     = mempty & fontSize (output 11)
-                           & backupFillColor black
-    , alGap       = 30
-    , alPos       = MiddleAxisLabel
-    , alPlacement = OutsideAxisLabel
-    , alVisible   = True
-    }
-
-instance Default (AxisLabel V3) where
-  def = AxisLabel
-    { alFun       = mempty
-    , alText      = ""
-    , alStyle     = mempty & fontSize (output 11)
-                           -- & backupFillColor black
+                           & recommendFillColor black
     , alGap       = 30
     , alPos       = MiddleAxisLabel
     , alPlacement = OutsideAxisLabel
@@ -167,32 +155,32 @@
 
 -- | 'TickLabels' describes how to draw the labels next to ticks. See
 --   'HasTickLabels' for more options.
-data TickLabels v = TickLabels
-  { tlFun     :: [Double] -> (Double,Double) -> [(Double, String)]
-  , tlTextFun :: TextFunction v
-  , tlStyle   :: Style v Double
-  , tlGap     :: Double
+data TickLabels b v n = TickLabels
+  { tlFun     :: [n] -> (n,n) -> [(n, String)]
+  , tlTextFun :: TextFunction b v n
+  , tlStyle   :: Style v n
+  , tlGap     :: n
   , tlVisible :: Bool
   } deriving Typeable
 
-type instance V (TickLabels v) = v
-type instance N (TickLabels v) = Double
+type instance V (TickLabels b v n) = v
+type instance N (TickLabels b v n) = n
 
-class HasTickLabels f a where
+class HasTickLabels f a b | a -> b where
   -- | The options for the label of ticks. This can be used on various
   --   levels of the axis:
   --
   -- @
-  -- 'tickLabel' :: 'Traversal'' ('Tick' c)       ('TickLabels' ('BaseSpace' c))
-  -- 'tickLabel' :: 'Lens''      ('SingleAxis' v) ('TickLabels' v)
-  -- 'tickLabel' :: 'Lens''      ('TickLabel' v)  ('TickLabels' v)
+  -- 'tickLabel' :: 'Traversal'' ('Tick' b c n)       ('TickLabels' ('BaseSpace' c) n)
+  -- 'tickLabel' :: 'Lens''      ('SingleAxis' b v n) ('TickLabels' v n)
+  -- 'tickLabel' :: 'Lens''      ('TickLabel' v n)    ('TickLabels' v n)
   -- @
-  tickLabel :: LensLike' f a (TickLabels (V a))
+  tickLabel :: LensLike' f a (TickLabels b (V a) (N a))
 
   -- | The 'TextFunction' to render the text.
   --
   --   'Default' is 'mkText'.
-  tickLabelTextFunction :: Functor f => LensLike' f a (TextFunction (V a))
+  tickLabelTextFunction :: Functor f => LensLike' f a (TextFunction b (V a) (N a))
   tickLabelTextFunction = tickLabel . lens tlTextFun (\tl f -> tl {tlTextFun = f})
 
   -- | Tick labels functions are used to draw the tick labels. They have
@@ -200,48 +188,39 @@
   --   position of the tick and label to use at that position.
   --
   --   'Default' is @'atMajorTicks' 'floatShow'@
-  tickLabelFunction :: Functor f => LensLike' f a ([Double] -> (Double, Double) -> [(Double, String)])
+  tickLabelFunction :: Functor f => LensLike' f a ([N a] -> (N a, N a) -> [(N a, String)])
   tickLabelFunction = tickLabel . lens tlFun (\tl f -> tl {tlFun = f})
 
   -- | The 'Style' to use on the rendered text.
   --
   --   'Default' is @'fontSize' ('output' 11)@.
-  tickLabelStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  tickLabelStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   tickLabelStyle = tickLabel . lens tlStyle (\tl sty -> tl {tlStyle = sty})
 
   -- | The gap between the axis and the tick labels.
   --
   --   'Default' is @12@.
-  tickLabelGap :: Functor f => LensLike' f a Double
+  tickLabelGap :: Functor f => LensLike' f a (N a)
   tickLabelGap = tickLabel . lens tlGap (\tl n -> tl {tlGap = n})
 
-instance HasTickLabels f (TickLabels v) where
+instance HasTickLabels f (TickLabels b v n) b where
   tickLabel = id
 
-instance HasGap (TickLabels v) where
+instance HasGap (TickLabels b v n) where
   gap = tickLabelGap
 
-instance Default (TickLabels V2) where
+instance (TypeableFloat n, Renderable (Text n) b)
+    => Default (TickLabels b V2 n) where
   def = TickLabels
     { tlFun     = atMajorTicks floatShow
     , tlTextFun = mkText
     , tlStyle   = mempty & fontSize (output 11)
-                         & backupFillColor black
-    , tlGap     = 12
-    , tlVisible = True
-    }
-
-instance Default (TickLabels V3) where
-  def = TickLabels
-    { tlFun     = atMajorTicks floatShow
-    , tlTextFun = mempty
-    , tlStyle   = mempty & fontSize (output 11)
-                         -- & sc black
+                         & recommendFillColor black
     , tlGap     = 12
     , tlVisible = True
     }
 
-instance HasVisibility (TickLabels v) where
+instance HasVisibility (TickLabels b v n) where
   visible = lens tlVisible (\tl b -> tl {tlVisible = b})
 
 -- | Setter over the final positions the major ticks. This is not as
@@ -258,7 +237,8 @@
 --  If you want to change or add normal ticks see 'majorTicksFunction'.
 --
 tickLabelPositions
-  :: (HasTickLabels f a, Settable f) => LensLike' f a [(Double, String)]
+  :: (HasTickLabels f a b, Settable f)
+  => LensLike' f a [(N a, String)]
 tickLabelPositions = tickLabelFunction . mapped . mapped
 
 -- | Numbers are shown as 'Float's to reduce the chance of numbers like
@@ -268,7 +248,7 @@
 
 -- | Make a 'TickLabelFunction' by specifying how to draw a single label
 --   from a position on the axis.
-atMajorTicks :: (Double -> String) -> [Double] -> (Double,Double) -> [(Double, String)]
+atMajorTicks :: (n -> String) -> [n] -> (n,n) -> [(n, String)]
 atMajorTicks f ticks _ = map ((,) <*> f) ticks
 
 -- -- | Use the list of strings as the labels for the axis, starting at 1
diff --git a/src/Plots/Axis/Line.hs b/src/Plots/Axis/Line.hs
--- a/src/Plots/Axis/Line.hs
+++ b/src/Plots/Axis/Line.hs
@@ -48,20 +48,20 @@
   def = BoxAxisLine
 
 -- | Information about position and style of axis lines.
-data AxisLine v = AxisLine
+data AxisLine v n = AxisLine
   { alType      :: AxisLineType
-  -- , alArrowOpts :: Maybe ArrowOpts
+  , alArrowOpts :: Maybe (ArrowOpts n)
   , alVisible   :: Bool
-  , alStyle     :: Style v Double
+  , alStyle     :: Style v n
   } deriving Typeable
 
-type instance V (AxisLine v) = v
-type instance N (AxisLine v) = Double
+type instance V (AxisLine v n) = v
+type instance N (AxisLine v n) = n
 
 -- | Class of object that have an 'AxisLine'.
 class HasAxisLine f a where
   -- | Lens onto the 'AxisLine'.
-  axisLine :: LensLike' f a (AxisLine (V a))
+  axisLine :: LensLike' f a (AxisLine (V a) (N a))
 
   -- | The position of the axis line around the axis.
   --
@@ -75,32 +75,28 @@
   --   'Default' is 'Nothing'.
   --
   --   XXX (feature not currently implimented)
-  -- axisLineArrowOpts :: Functor f => LensLike' f a (Maybe (ArrowOpts (N a)))
-  -- axisLineArrowOpts = axisLine . lens alArrowOpts (\al sty -> al {alArrowOpts = sty})
+  axisLineArrowOpts :: Functor f => LensLike' f a (Maybe (ArrowOpts (N a)))
+  axisLineArrowOpts = axisLine . lens alArrowOpts (\al sty -> al {alArrowOpts = sty})
 
   -- | The 'Style' applied to the axis line
-  axisLineStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  axisLineStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   axisLineStyle = axisLine . lens alStyle (\al sty -> al {alStyle = sty})
 
-instance HasAxisLine f (AxisLine v) where
+instance HasAxisLine f (AxisLine v n) where
   axisLine = id
 
-instance ApplyStyle (AxisLine v)
-instance HasStyle (AxisLine v) where
-  style = axisLineStyle
-
 --   Note this is different from 'NoAxisLine'. Other parts that are
 --   tied to the axis line will still be present when
 --   'axisLineVisible' is 'False'. But if 'NoAxisLine' is set, there
 --   never any line for those things to attach to, so they don't
 --   exist.
-instance HasVisibility (AxisLine v) where
+instance HasVisibility (AxisLine v n) where
   visible = lens alVisible (\al b -> al {alVisible = b})
 
-instance Default (AxisLine v) where
+instance Typeable n => Default (AxisLine v n) where
   def = AxisLine
     { alType  = def
-    -- , alArrowOpts = def
+    , alArrowOpts = def
     , alVisible = True
     , alStyle = mempty
     }
diff --git a/src/Plots/Axis/Render.hs b/src/Plots/Axis/Render.hs
--- a/src/Plots/Axis/Render.hs
+++ b/src/Plots/Axis/Render.hs
@@ -39,9 +39,8 @@
 import           Data.List                  (sort)
 import           Data.Typeable
 
-import           Geometry.BoundingBox
+import           Diagrams.BoundingBox
 import           Diagrams.Prelude
-import           Geometry.Envelope
 import           Diagrams.TwoD.Text
 import           Linear                     hiding (rotate, translation)
 
@@ -63,65 +62,37 @@
 
 import           Prelude
 
-import qualified Numeric.Interval.NonEmpty as I
-
-import Geometry.TwoD.Transform
-import Geometry.TwoD.Ellipse
-
-import Diagrams.Types (Prim (..), mkQD)
-
 ------------------------------------------------------------------------
 -- Mainable instances
 ------------------------------------------------------------------------
 
-instance WithOutcome (Axis Polar)
-instance WithOutcome (Axis V2)
-instance WithOutcome (Axis V3)
-
-instance RenderOutcome t (Diagram V2) => RenderOutcome t (Axis Polar) where
-  type MainOpts t (Axis Polar) = MainOpts t (Diagram V2)
-  resultParser t _ = resultParser t (Proxy :: Proxy (Diagram V2))
-  renderOutcome t opts axis = renderOutcome t opts (renderPolarAxis axis)
-
-instance RenderOutcome t (Diagram V2) => RenderOutcome t (Axis V2) where
-  type MainOpts t (Axis V2) = MainOpts t (Diagram V2)
-  resultParser t _ = resultParser t (Proxy :: Proxy (Diagram V2))
-  renderOutcome t opts axis = renderOutcome t opts (renderAxis axis)
-
-instance RenderOutcome t (Diagram V3) => RenderOutcome t (Axis V3) where
-  type MainOpts t (Axis V3) = MainOpts t (Diagram V3)
-  resultParser t _ = resultParser t (Proxy :: Proxy (Diagram V3))
-  renderOutcome t opts axis = renderOutcome t opts (renderAxis axis)
-
-
-strokePathV :: (Typeable v, Metric v, Typeable n, OrderedField n) => Path v n -> QDiagram v n Any
-strokePathV path = mkQD (Prim path) (getEnvelope path) mempty mempty
-
--- instance (TypeableFloat n, Mainable (Diagram V2))
---        => Mainable (Axis b Polar n) where
---   type MainOpts (Axis b Polar n) = MainOpts (Diagram V2)
+instance (TypeableFloat n,
+          Renderable (Path V2 n) b,
+          Mainable (QDiagram b V2 n Any))
+       => Mainable (Axis b Polar n) where
+  type MainOpts (Axis b Polar n) = MainOpts (QDiagram b V2 n Any)
 
---   mainRender opts = mainRender opts . renderAxis
+  mainRender opts = mainRender opts . renderAxis
 
--- instance (TypeableFloat n,
---           Renderable (Path V2 n) b,
---           Mainable (Diagram V2))
---        => Mainable (Axis b V2 n) where
---   type MainOpts (Axis b V2 n) = MainOpts (Diagram V2)
+instance (TypeableFloat n,
+          Renderable (Path V2 n) b,
+          Mainable (QDiagram b V2 n Any))
+       => Mainable (Axis b V2 n) where
+  type MainOpts (Axis b V2 n) = MainOpts (QDiagram b V2 n Any)
 
---   mainRender opts = mainRender opts . renderAxis
+  mainRender opts = mainRender opts . renderAxis
 
--- instance ToResult (Axis b v n) where
---   type Args (Axis b v n) = ()
---   type ResultOf (Axis b v n) = Axis b v n
+instance ToResult (Axis b v n) where
+  type Args (Axis b v n) = ()
+  type ResultOf (Axis b v n) = Axis b v n
 
---   toResult d _ = d
+  toResult d _ = d
 
 -- | 'mainWith' specialised to a 2D Axis.
 r2AxisMain
-  :: RenderOutcome t (Diagram V2)
-  => t
-  -> Axis V2
+  :: (Parseable (MainOpts (QDiagram b V2 Double Any)),
+      Mainable (Axis b V2 Double))
+  => Axis b V2 Double
   -> IO ()
 r2AxisMain = mainWith
 
@@ -137,7 +108,7 @@
 --   legend entries can be obtained with 'styledPlotLegends'. This is
 --   what 'renderAxis' can uses internally but might be useful for
 --   debugging or generating your own legend.
-buildPlots :: BaseSpace c ~ v => Axis c -> [StyledPlot v]
+buildPlots :: BaseSpace c ~ v => Axis b c n -> [StyledPlot b v n]
 buildPlots a = map (appEndo $ a ^. plotModifier)
              $ zipWith styleDynamic (a ^.. axisStyles) (a ^. axisPlots)
              -- TODO: correct order
@@ -147,21 +118,21 @@
 ------------------------------------------------------------------------
 
 -- | Renderable axes.
-class RenderAxis c where
+class RenderAxis b v n where
   -- | Render an axis to a diagram. The size of the diagram is
   --   determined by the 'axisSize'.
-  renderAxis :: Axis c -> Diagram (BaseSpace c)
-
--- R2 rendering --------------------------------------------------------
+  renderAxis :: Axis b v n -> QDiagram b (BaseSpace v) n Any
 
 -- | The 'RenderAxis' class provides a default way to render an axis for
 --  each space.
-instance RenderAxis V2 where
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => RenderAxis b V2 n where
   -- | Render an axis and its plots, as well as the legend and colour
   --   bar.
   renderAxis = renderR2Axis
 
-renderR2Axis :: Axis V2 -> Diagram V2
+renderR2Axis :: (TypeableFloat n, Renderable (Path V2 n) b)
+  => Axis b V2 n -> QDiagram b V2 n Any
 renderR2Axis a = frame 40
                $ leg
               <> ttl
@@ -188,41 +159,6 @@
     --
     styledPlots = buildPlots a
 
--- R3 rendering --------------------------------------------------------
-
-
-instance RenderAxis V3 where
-  renderAxis = renderR3Axis
-
-renderR3Axis :: Axis V3 -> Diagram V3
-renderR3Axis a = -- frame 15
-               -- -- $ legend
-               (plots :: Diagram V3)
-              <> (drawAxis ex ey LowerLabels :: Diagram V3)
-              <> (drawAxis ey ex UpperLabels :: Diagram V3)
-              <> (drawAxis ez ey LowerLabels :: Diagram V3)
-              <> (drawAxis ey ez NoLabels :: Diagram V3)
-              <> (drawAxis ez ex NoLabels :: Diagram V3)
-              <> (drawAxis ex ez NoLabels :: Diagram V3)
-  where
-    spec  = AxisSpec xs t (a^.axes . column logScale) (a ^. axisColourMap)
-    plots = foldMap (renderStyledPlot spec) styledPlots
-    drawAxis ll ll2 = axisOnBasis origin xs (a^.axes.el ll) (a^.axes.column logScale) t ll ll2
-    --
-    (xs, tv, t') = calculateScaling (a^.axes.column axisScaling) (boundingBox styledPlots)
-    t = tv <> t'
-    --
-    -- bb = fromCorners (P . apply t $ fmap fst xs) (P . apply t $ fmap snd xs)
-    -- leg = drawLegend bb (styledPlotLegends styledPlots) (a ^. legend)
-    --
-
-    -- The colour bar
-    -- cBar = addColourBar bb (a^.colourBar) (a ^. axisColourMap) (a^.colourBarRange)
-    -- title
-    -- ttl = drawTitle bb (a^.title)
-    --
-    styledPlots = buildPlots a
-
 -- | The position of axis labels for a
 data LabelPosition
   = NoLabels
@@ -233,22 +169,23 @@
   deriving (Show, Eq, Typeable)
 
 axisOnBasis
-  :: forall v. (HasLinearMap v, Typeable v)
-  => Point v Double        -- start of axis
-  -> v (Double, Double)         -- calculated bounds
-  -> SingleAxis v  -- axis data
+  :: forall b v n. (v ~ V2, TypeableFloat n, HasLinearMap v, Metric v,
+                    Renderable (Path V2 n) b, n ~ N (v n), v ~ V (v n), OrderedField n)
+  => Point v n        -- start of axis
+  -> v (n, n)         -- calculated bounds
+  -> SingleAxis b v n -- axis data
   -> v LogScale       -- log scale
-  -> Transformation v Double        -- transformation to apply to positions of things
+  -> T2 n             -- transformation to apply to positions of things
   -> E v              -- direction of axis
   -> E v              -- orthogonal direction of axis
   -> LabelPosition    -- where (if at all) should labels be placed?
-  -> Diagram v   -- resulting axis
+  -> QDiagram b V2 n Any   -- resulting axis
 axisOnBasis p bs a ls t e eO lp
   | a ^. hidden = phantom axis
   | otherwise   = axis
   where
     axis = tickLabels <> axLabels <> ticks <> line <> grid
-    tStroke = strokePathV . transform t
+    tStroke = stroke . transform t
 
     -- axis labels (x,y etc.)
     axLabels
@@ -326,13 +263,13 @@
         maTicks
           | a ^. majorTicks . hidden = mempty
           | otherwise = foldMap (positionTick majorTick) majorTickXs'
-                       # strokePathV
+                       # stroke
                        # applyStyle (a ^. majorTicksStyle)
         --
         miTicks
           | a ^. minorTicks . hidden = mempty
           | otherwise = foldMap (positionTick minorTick) minorTickXs'
-                       # strokePathV
+                       # stroke
                        # applyStyle (a ^. minorTicksStyle)
         --
         minorTick = someTick (a ^. minorTicksAlignment) (a ^. minorTicksLength)
@@ -363,16 +300,16 @@
       | a ^. axisLine . hidden = mempty
       | otherwise = foldMap mkline (map snd ys) -- merge with ticks?
              # transform t
-             # strokePathV
+             # stroke
              # lineCap LineCapSquare
              # applyStyle (a^.axisLineStyle)
       where
         -- TODO: Arrow for R3
         mkline y = pathFromVertices
-         $ map (\x -> over lensP ((el e .~ x) . (el eO .~ y)) p) [x0, x1] :: Path v Double
+         $ map (\x -> over lensP ((el e .~ x) . (el eO .~ y)) p) [x0, x1] :: Path v n
 
     -- measurements
-    b@(x0,x1)  = bs ^. el e :: (Double, Double) -- bounds
+    b@(x0,x1)  = bs ^. el e :: (n, n) -- bounds
     coscale = ep e %~ coscaleNum
     coscaleNum = scaleNum (bs ^. el e) (ls ^. el e)
     yb@(y0,y1) = bs ^. el eO . if lp == UpperLabels
@@ -427,7 +364,8 @@
 -- Polar
 ------------------------------------------------------------------------
 
-instance RenderAxis Polar where
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => RenderAxis b Polar n where
   renderAxis = renderPolarAxis
 
 -- | An lower and upper bound for the bounding radius using @n@ envelope
@@ -435,15 +373,15 @@
 --   the bound.
 boundingRadiusR :: (InSpace V2 n a, Enveloped a) => Int -> a -> (n, n)
 boundingRadiusR (max 3 -> n) e =
-  case getEnvelope e of
-    EmptyEnvelope -> (0,0)
-    Envelope f  ->
+  case appEnvelope (getEnvelope e) of
+    Nothing -> (0,0)
+    Just f  ->
       let thetas = map (@@rad) $ enumFromToN 0 tau n
-          vs     = map angleDir thetas
+          vs     = map angleV thetas
 
           -- The lower bound is the maximum distance obtained from the
           -- envelope trials. We know the radius will be at least this far.
-          lowerBound = F.foldr (\v r -> max (I.sup $ f v) r) 0 vs
+          lowerBound = F.foldr (\v r -> max (f v) r) 0 vs
 
           -- In the worst case, there will be a point at the intersection of
           -- two neighbouring bounding planes from the envelope calculations.
@@ -456,7 +394,9 @@
 
       in  (lowerBound, upperBound)
 
-renderPolarAxis :: Axis Polar -> Diagram V2
+renderPolarAxis
+  :: (TypeableFloat n, Renderable (Path V2 n) b)
+  => Axis b Polar n -> QDiagram b V2 n Any
 renderPolarAxis a = frame 15
                $ leg
               -- <> colourBar
@@ -480,7 +420,9 @@
     styledPlots = map (appEndo $ a ^. plotModifier)
                 $ zipWith styleDynamic (a ^.. axisStyles) (a ^. axisPlots)
 
-drawPolarAxis :: AxisSpec V2 -> Polar (SingleAxis V2) -> Diagram V2
+drawPolarAxis
+  :: forall b n. (Renderable (Path V2 n) b, TypeableFloat n)
+  => AxisSpec V2 n -> Polar (SingleAxis b V2 n) -> QDiagram b V2 n Any
 drawPolarAxis spec (Polar (V2 rA thetaA)) = fcA transparent $ rAx <> thetaAx where
 
   -- use a radius of the upper x bound for the axis (this is not ideal)
@@ -507,9 +449,8 @@
     where
       -- XXX for now the radial axis is on the theta=0 line. Need some
       -- way to change this
-      line = fromVertices [origin, mkP2 r 0]
-               # applyStyle (rA^.axisLineStyle)
-               # transform t
+      line = (origin ~~ mkP2 r 0) # applyStyle (rA^.axisLineStyle)
+                                  # transform t
 
   -- Radial axis label -------------------------------------------------
 
@@ -554,8 +495,8 @@
 
   someTick tType d = case tType of
     TickSpec (fromRational -> aa) (fromRational -> bb)
-             -> fromVertices [mkP2 0 (-d*bb), mkP2 0 (d*aa)]
-    AutoTick -> fromVertices [mkP2 0 (-d)   , mkP2 0 d     ]
+             -> mkP2 0 (-d*bb) ~~ mkP2 0 (d*aa)
+    AutoTick -> mkP2 0 (-d)    ~~ mkP2 0 d
 
   -- Radial grid lines -------------------------------------------------
 
@@ -566,7 +507,7 @@
   majorGridRs  = view majorGridLinesFunction rA majorTickRs (0,r)
   majorGridRs' = map (*s) $ filter rInRange majorGridRs
 
-  rMajorGridLines :: Diagram V2
+  rMajorGridLines :: QDiagram b V2 n Any
   rMajorGridLines
     | rA ^. majorGridLines . hidden = mempty
     | otherwise = F.foldMap circle (filter (>0) majorGridRs')
@@ -574,7 +515,7 @@
 
   minorGridRs  = view minorGridLinesFunction rA minorTickRs (0,r)
   minorGridRs' = map (*s) $ filter rInRange minorGridRs
-  rMinorGridLines :: Diagram V2
+  rMinorGridLines :: QDiagram b V2 n Any
   rMinorGridLines
     | rA ^. minorGridLines . hidden = mempty
     | otherwise = F.foldMap circle (filter (>0) minorGridRs')
@@ -582,17 +523,17 @@
 
   -- Radial tick labels ------------------------------------------------
 
-  rAxTickLabels :: Diagram V2
+  rAxTickLabels :: QDiagram b V2 n Any
   rAxTickLabels
     | rA ^. tickLabel . hidden = mempty
     | otherwise                = F.foldMap rDrawTickLabel tickLabelRs
 
   -- The positions of the tick labels.
-  tickLabelRs :: [(Double, String)]
+  tickLabelRs :: [(n, String)]
   tickLabelRs = view tickLabelFunction rA (filter rInRange majorTickRs) (0,r)
 
   -- Draw a single tick label given the position and the string to use
-  rDrawTickLabel :: (Double,String) -> Diagram V2
+  rDrawTickLabel :: (n,String) -> QDiagram b V2 n Any
   rDrawTickLabel (x,label) =
     view tickLabelTextFunction rA (BoxAlignedText 0.5 1) label
       # translate (V2 (s*x) (- view axisLabelGap rA))
@@ -666,8 +607,8 @@
 
   someThetaTick tType d = case tType of
     TickSpec (fromRational -> aa) (fromRational -> bb)
-             -> fromVertices [mkP2 (-d*bb) 0, mkP2 (d*aa) 0]
-    AutoTick -> fromVertices [mkP2 (-d) 0   , mkP2 d 0     ]
+             -> mkP2 (-d*bb) 0 ~~ mkP2 (d*aa) 0
+    AutoTick -> mkP2 (-d) 0    ~~ mkP2 d 0
 
   -- Angular grid lines ------------------------------------------------
 
@@ -679,35 +620,35 @@
   majorGridThetas = view majorGridLinesFunction thetaA majorTickThetas (0,theta)
   majorGridThetas' = filter thetaInRange majorGridThetas
 
-  thetaMajorGridLines :: Diagram V2
+  thetaMajorGridLines :: QDiagram b V2 n Any
   thetaMajorGridLines
     | thetaA ^. majorGridLines . hidden = mempty
-    | otherwise = F.foldMap (\phi -> fromVertices [origin, mkP2 r 0] # rotate (phi@@rad)) majorGridThetas'
+    | otherwise = F.foldMap (\phi -> origin ~~ mkP2 r 0 # rotate (phi@@rad)) majorGridThetas'
                     # transform t
                     # applyStyle (thetaA ^. majorGridLinesStyle)
 
   minorGridThetas    = view minorGridLinesFunction thetaA minorTickThetas (0,theta)
   minorGridThetas'   = filter thetaInRange minorGridThetas
-  thetaMinorGridLines :: Diagram V2
+  thetaMinorGridLines :: QDiagram b V2 n Any
   thetaMinorGridLines
     | thetaA ^. minorGridLines . hidden = mempty
-    | otherwise = F.foldMap (\phi -> fromVertices [origin, mkP2 r 0] # rotate (phi@@rad)) minorGridThetas'
+    | otherwise = F.foldMap (\phi -> origin ~~ mkP2 r 0 # rotate (phi@@rad)) minorGridThetas'
                     # transform t
                     # applyStyle (thetaA ^. minorGridLinesStyle)
 
   -- Angular tick labels -----------------------------------------------
 
-  thetaAxTickLabels :: Diagram V2
+  thetaAxTickLabels :: QDiagram b V2 n Any
   thetaAxTickLabels
     | thetaA ^. tickLabel . hidden = mempty
     | otherwise                    = F.foldMap thetaDrawTickLabel tickLabelThetas
 
   -- The positions of the tick labels.
-  tickLabelThetas :: [(Double, String)]
+  tickLabelThetas :: [(n, String)]
   tickLabelThetas = view tickLabelFunction thetaA majorTickThetas' (0,theta)
 
   -- Draw a single tick label given the position and the string to use
-  thetaDrawTickLabel :: (Double, String) -> Diagram V2
+  thetaDrawTickLabel :: (n, String) -> QDiagram b V2 n Any
   thetaDrawTickLabel (x,label) =
     view tickLabelTextFunction thetaA a label
       # translate v
diff --git a/src/Plots/Axis/Scale.hs b/src/Plots/Axis/Scale.hs
--- a/src/Plots/Axis/Scale.hs
+++ b/src/Plots/Axis/Scale.hs
@@ -29,7 +29,7 @@
   , LogScale (..)
   , logNumber
   , logPoint
-  -- , logDeform
+  , logDeform
 
     -- * Low level calculations
     -- | These functions are used by "Plots.Axis.Render".
@@ -44,7 +44,7 @@
 import           Data.Default
 import           Data.Distributive
 import           Data.Maybe
--- import qualified Data.Foldable as F
+import qualified Data.Foldable as F
 
 import           Diagrams
 import           Linear
@@ -71,23 +71,23 @@
 
 -- | Data type used that concerns everything to do with the size or
 --   scale of the axis.
-data AxisScaling = Scaling
-  { asRatio          :: Maybe Double
+data AxisScaling n = Scaling
+  { asRatio          :: Maybe n
   , asMode           :: ScaleMode
-  , asEnlarge        :: Extending
-  , asBoundMin       :: Maybe Double
-  , asBoundMax       :: Maybe Double
-  , asSize           :: Maybe Double
+  , asEnlarge        :: Extending n
+  , asBoundMin       :: Maybe n
+  , asBoundMax       :: Maybe n
+  , asSize           :: Maybe n
   , asLogScale       :: LogScale
 
   -- backup bound in case there's no inferred bounds to go by
-  , asBackupBoundMax :: Double
-  , asBackupBoundMin :: Double
+  , asBackupBoundMax :: n
+  , asBackupBoundMin :: n
   }
 
-type instance N AxisScaling = Double
+type instance N (AxisScaling n) = n
 
-instance Default AxisScaling where
+instance Fractional n => Default (AxisScaling n) where
   def = Scaling
     { asRatio          = Nothing
     , asMode           = AutoScale
@@ -101,24 +101,24 @@
     }
 
 -- | How much to extend the bounds beyond any inferred bounds.
-data Extending
-  = AbsoluteExtend !Double
-  | RelativeExtend !Double
-  deriving (Show, Ord, Eq)
+data Extending n
+  = AbsoluteExtend n
+  | RelativeExtend n
+  deriving (Show, Ord, Eq, Functor)
 
 -- | Do not extend the axis beyond the inferred bounds.
-noExtend :: Extending
+noExtend :: Num n => Extending n
 noExtend = AbsoluteExtend 0
 
 -- | Class of things that have an 'AxisScaling'.
 class HasAxisScaling f a where
   -- | The way to scale in one direction.
-  axisScaling :: LensLike' f a AxisScaling
+  axisScaling :: LensLike' f a (AxisScaling (N a))
 
   -- | The ratio relative to other axis. If no ratios are set, the ratio
   --   is not enforced. If at least one is set, 'Nothing' ratios are
   --   @1@.
-  scaleAspectRatio :: Functor f => LensLike' f a (Maybe Double)
+  scaleAspectRatio :: Functor f => LensLike' f a (Maybe (N a))
   scaleAspectRatio = axisScaling . lens asRatio (\as r -> as {asRatio = r})
 
   -- | The mode to determine how to scale the bounds in a direction.
@@ -137,7 +137,7 @@
 
   -- | How much to extend the bounds over infered bounds. This is
   --   ignored if a 'boundMax' or 'boundMin' is set.
-  axisExtend :: Functor f => LensLike' f a Extending
+  axisExtend :: Functor f => LensLike' f a (Extending (N a))
   axisExtend = axisScaling . lens asEnlarge (\as r -> as {asEnlarge = r})
 
   -- | The maximum bound the axis. There are helper functions for
@@ -149,7 +149,7 @@
   -- @
   --
   --   Default is 'Nothing'.
-  boundMin :: Functor f => LensLike' f a (Maybe Double)
+  boundMin :: Functor f => LensLike' f a (Maybe (N a))
   boundMin = axisScaling . lens asBoundMin (\as b -> as {asBoundMin = b})
 
   -- | The maximum bound the axis. There are helper functions for
@@ -162,30 +162,31 @@
   -- @
   --
   --   Default is 'Nothing'.
-  boundMax :: Functor f => LensLike' f a (Maybe Double)
+  boundMax :: Functor f => LensLike' f a (Maybe (N a))
   boundMax = axisScaling . lens asBoundMax (\as b -> as {asBoundMax = b})
 
   -- | The size of the rendered axis. Default is @'Just' 400@.
-  renderSize :: Functor f => LensLike' f a (Maybe Double)
+  renderSize :: Functor f => LensLike' f a (Maybe (N a))
   renderSize = axisScaling . lens asSize (\as s -> as {asSize = s})
 
   -- -- backup bound in case there's no inferred bounds to go by
   -- asBackupBoundMax :: n
   -- asBackupBoundMax :: n
 
-asSizeSpec :: HasLinearMap v => Lens' (v AxisScaling) (SizeSpec v Double)
+asSizeSpec :: (HasLinearMap v, Num n, Ord n) => Lens' (v (AxisScaling n)) (SizeSpec v n)
 asSizeSpec = column renderSize . iso mkSizeSpec getSpec
 
-instance HasAxisScaling f AxisScaling where
+instance HasAxisScaling f (AxisScaling n) where
   axisScaling = id
 
 -- calculating bounds --------------------------------------------------
 
 -- | Calculating the bounds for an axis.
 calculateBounds
-  :: AxisScaling -- ^ Scaling to use for this axis
-  -> Maybe (Double, Double)  -- ^ Inferred bounds (from any plots)
-  -> (Double, Double)        -- ^ Lower and upper bounds to use for this axis
+  :: OrderedField n
+  => AxisScaling n -- ^ Scaling to use for this axis
+  -> Maybe (n, n)  -- ^ Inferred bounds (from any plots)
+  -> (n, n)        -- ^ Lower and upper bounds to use for this axis
 calculateBounds Scaling {..} mInferred = (l', u') where
   -- bounds are only enlarged when min/max bound wasn't set
   l' = l & whenever (isNothing asBoundMin) (subtract x)
@@ -214,10 +215,10 @@
 --     - scale to match desired 'scaleAspectRatio'
 --     - scale to match desired 'asSizeSpec'
 calculateScaling
-  :: (HasLinearMap v, Applicative v)
-  => v AxisScaling -- ^ axis scaling options
-  -> BoundingBox v Double   -- ^ bounding box from the axis plots
-  -> (v (Double,Double), Transformation v Double, Transformation v Double)
+  :: (HasLinearMap v, OrderedField n, Applicative v)
+  => v (AxisScaling n) -- ^ axis scaling options
+  -> BoundingBox v n   -- ^ bounding box from the axis plots
+  -> (v (n,n), Transformation v n, Transformation v n)
 calculateScaling aScaling bb = (bounds, aspectScaling, sizeScaling) where
 
   -- final bounds of the axis
@@ -230,8 +231,8 @@
     -- aScaling. Otherwise no ratios are set, ignore them and scale
     -- such that each axis is the same length
     | anyOf (folded . scaleAspectRatio) isJust aScaling
-                = scalingV $ view (scaleAspectRatio . non 1) <$> aScaling
-    | otherwise = inv $ scalingV v
+                = vectorScaling $ view (scaleAspectRatio . non 1) <$> aScaling
+    | otherwise = inv $ vectorScaling v
 
   -- scaling used so the axis fits in the size spec
   sizeScaling = requiredScaling szSpec v'
@@ -241,6 +242,11 @@
   v' = apply aspectScaling v
   szSpec = view asSizeSpec aScaling
 
+-- | Scale transformation using the respective scale coefficients in the vector.
+vectorScaling :: (Additive v, Fractional n) => v n -> Transformation v n
+vectorScaling v = fromLinear f f
+  where f = liftI2 (*) v <-> liftI2 (flip (/)) v
+
 -- | Apply a function if the predicate is true.
 whenever :: Bool -> (a -> a) -> a -> a
 whenever b f = bool id f b
@@ -277,9 +283,9 @@
 
 -- | Deform an object according to the axis scale. Does nothing for
 --   linear scales.
--- logDeform :: (InSpace v n a, F.Foldable v, Floating n, Deformable a a)
---           => v LogScale -> a -> a
--- logDeform v
---   | allOf folded (== LinearAxis) v = id
---   | otherwise                      = deform (Deformation $ logPoint v)
+logDeform :: (InSpace v n a, F.Foldable v, Floating n, Deformable a a)
+          => v LogScale -> a -> a
+logDeform v
+  | allOf folded (== LinearAxis) v = id
+  | otherwise                      = deform (Deformation $ logPoint v)
 
diff --git a/src/Plots/Axis/Ticks.hs b/src/Plots/Axis/Ticks.hs
--- a/src/Plots/Axis/Ticks.hs
+++ b/src/Plots/Axis/Ticks.hs
@@ -52,6 +52,7 @@
   ) where
 
 import           Control.Lens     hiding (transform, ( # ))
+import           Data.Data
 import           Data.Default
 import           Data.Foldable    as F
 import           Data.Ord
@@ -103,15 +104,15 @@
 ------------------------------------------------------------------------
 
 -- | The big ticks on the axis line.
-data MajorTicks v = MajorTicks
-  { matFunction :: (Double,Double) -> [Double]
+data MajorTicks v n = MajorTicks
+  { matFunction :: (n,n) -> [n]
   , matAlign    :: TicksAlignment
-  , matLength   :: Double
-  , matStyle    :: Style v Double
+  , matLength   :: n
+  , matStyle    :: Style v n
   , matVisible  :: Bool
   }
 
-instance Default (MajorTicks v) where
+instance TypeableFloat n => Default (MajorTicks v n) where
   def = MajorTicks
     { matFunction = linearMajorTicks 5
     , matAlign    = autoTicks
@@ -120,20 +121,20 @@
     , matVisible  = True
     }
 
-type instance V (MajorTicks v) = v
-type instance N (MajorTicks v) = Double
+type instance V (MajorTicks v n) = v
+type instance N (MajorTicks v n) = n
 
 -- | Class of things that have a 'MajorTicks'.
 class HasMajorTicks f a where
   -- | Lens onto the 'MajorTicks' of something.
-  majorTicks :: LensLike' f a (MajorTicks (V a))
+  majorTicks :: LensLike' f a (MajorTicks (V a) (N a))
 
   -- | The function used to place ticks for this axis, given the bounds
   --   of the axis. The result of these major ticks are also used as
   --   guides for 'MinorTicks', 'MajorGridLines' and 'MinorGridLines'.
   --
   --   Default is @'linearMinorTicks' 5@.
-  majorTicksFunction :: Functor f => LensLike' f a ((Double, Double) -> [Double])
+  majorTicksFunction :: Functor f => LensLike' f a ((N a, N a) -> [N a])
   majorTicksFunction = majorTicks . lens matFunction (\mat a -> mat {matFunction = a})
 
   -- | Alignment of the major ticks. Choose between 'autoTicks'
@@ -144,42 +145,38 @@
   -- | The total length the major ticks.
   --
   --   Default is @7@.
-  majorTicksLength :: Functor f => LensLike' f a Double
+  majorTicksLength :: Functor f => LensLike' f a (N a)
   majorTicksLength = majorTicks . lens matLength (\mat a -> mat {matLength = a})
 
   -- | The style used to render the major ticks.
   --
   --   Default is @'lwO' 0.6 'mempty'@ (subject to change).
-  majorTicksStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  majorTicksStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   majorTicksStyle = majorTicks . lens matStyle (\mat sty -> mat {matStyle = sty})
 
-instance HasMajorTicks f (MajorTicks v) where
+instance HasMajorTicks f (MajorTicks v n) where
   majorTicks = id
 
-instance HasVisibility (MajorTicks v) where
+instance HasVisibility (MajorTicks v n) where
   visible = lens matVisible (\mat b -> mat {matVisible = b})
 
-instance ApplyStyle (MajorTicks v) where
-instance HasStyle (MajorTicks v) where
-  style = majorTicksStyle
-
 ------------------------------------------------------------------------
 -- Minor ticks
 ------------------------------------------------------------------------
 
 -- | The small ticks on the axis line.
-data MinorTicks v = MinorTicks
-  { mitFunction :: [Double] -> (Double,Double) -> [Double]
+data MinorTicks v n = MinorTicks
+  { mitFunction :: [n] -> (n,n) -> [n]
   , mitAlign    :: TicksAlignment
-  , mitLength   :: Double
-  , mitStyle    :: Style v Double
+  , mitLength   :: n
+  , mitStyle    :: Style v n
   , mitVisible  :: Bool
   }
 
-type instance V (MinorTicks v) = v
-type instance N (MinorTicks v) = Double
+type instance V (MinorTicks v n) = v
+type instance N (MinorTicks v n) = n
 
-instance Default (MinorTicks v) where
+instance TypeableFloat n => Default (MinorTicks v n) where
   def = MinorTicks
     { mitFunction = minorTicksHelper 4
     , mitAlign    = autoTicks
@@ -191,13 +188,13 @@
 -- | Class of things that have a single 'MinorTicks'.
 class HasMinorTicks f a where
   -- | Lens onto the 'MinorTicks' of something.
-  minorTicks :: LensLike' f a (MinorTicks (V a))
+  minorTicks :: LensLike' f a (MinorTicks (V a) (N a))
 
   -- | The function used to place ticks for this axis, given the result
   --   of 'majorTicksFunction' and the bounds of the axis.
   --
   --   Default is @'linearMinorTicks' 3@.
-  minorTicksFunction :: Functor f => LensLike' f a ([Double] -> (Double, Double) -> [Double])
+  minorTicksFunction :: Functor f => LensLike' f a ([N a] -> (N a, N a) -> [N a])
   minorTicksFunction = minorTicks . lens mitFunction (\mit a -> mit {mitFunction = a})
 
   -- | Alignment of the minor ticks. Choose between 'autoTicks'
@@ -208,56 +205,52 @@
   -- | The total length the minor ticks.
   --
   --   Default is @3@.
-  minorTicksLength :: Functor f => LensLike' f a Double
+  minorTicksLength :: Functor f => LensLike' f a (N a)
   minorTicksLength = minorTicks . lens mitLength (\mit a -> mit {mitLength = a})
 
   -- | The style used to render the minor ticks.
   --
   --   Default is @'lwO' 0.4 'mempty'@ (subject to change).
-  minorTicksStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  minorTicksStyle :: Functor f => LensLike' f a (Style (V a) (N a))
   minorTicksStyle = minorTicks . lens mitStyle (\mit sty -> mit {mitStyle = sty})
 
-instance HasMinorTicks f (MinorTicks v) where
+instance HasMinorTicks f (MinorTicks v n) where
   minorTicks = id
 
-instance HasVisibility (MinorTicks v) where
+instance HasVisibility (MinorTicks v n) where
   visible = lens mitVisible (\mit sty -> mit {mitVisible = sty})
 
-instance ApplyStyle (MinorTicks v) where
-instance HasStyle (MinorTicks v) where
-  style = minorTicksStyle
-
 ------------------------------------------------------------------------
 -- Both ticks
 ------------------------------------------------------------------------
 
 -- | Both 'MajorTicks' and 'MinorTicks' together.
-data Ticks v = Ticks (MajorTicks v) (MinorTicks v)
+data Ticks v n = Ticks (MajorTicks v n) (MinorTicks v n)
 -- Ticks are originally split up into major and minor so we can reuse
 -- major for the colour bar. I'm still undecided whether it's worth all
 -- the extra boilerplate here.
 
-type instance V (Ticks v) = v
-type instance N (Ticks v) = Double
+type instance V (Ticks v n) = v
+type instance N (Ticks v n) = n
 
 -- | Class of things with both 'MajorTicks' and 'MinorTicks'.
 class (HasMinorTicks f a, HasMajorTicks f a) => HasTicks f a where
-  bothTicks :: LensLike' f a (Ticks (V a))
+  bothTicks :: LensLike' f a (Ticks (V a) (N a))
 
-instance Functor f => HasTicks f (Ticks v) where
+instance Functor f => HasTicks f (Ticks v n) where
   bothTicks = id
 
-instance Functor f => HasMajorTicks f (Ticks v) where
+instance Functor f => HasMajorTicks f (Ticks v n) where
   majorTicks f (Ticks ma mi) = f ma <&> \ma' -> Ticks ma' mi
 
-instance Functor f => HasMinorTicks f (Ticks v) where
+instance Functor f => HasMinorTicks f (Ticks v n) where
   minorTicks f (Ticks ma mi) = f mi <&> \mi' -> Ticks ma mi'
 
-instance Default (Ticks v) where
+instance TypeableFloat n => Default (Ticks v n) where
   def = Ticks def def
 
-instance ApplyStyle (Ticks v) where
-  applyStyle = over ticksStyle . applyStyle
+instance Typeable n => HasStyle (Ticks v n) where
+  applyStyle s = over ticksStyle (applyStyle s)
 
 -- | Traversal over both major and minor tick alignment.
 ticksAlign :: (HasTicks f a, Applicative f) => LensLike' f a TicksAlignment
@@ -267,7 +260,7 @@
                   <$> f (a ^. majorTicksAlignment) <*> f (a ^. minorTicksAlignment)
 
 -- | Traversal over both major and minor tick styles.
-ticksStyle :: (HasTicks f a, Applicative f) => LensLike' f a (Style (V a) Double)
+ticksStyle :: (HasTicks f a, Applicative f) => LensLike' f a (Style (V a) (N a))
 ticksStyle = bothTicks . styles
   where
     styles f a = (\m mn -> a & majorTicksStyle .~ m & minorTicksStyle .~ mn)
@@ -298,7 +291,7 @@
 --   you want to add or modify existing tick positions.
 majorTickPositions
   :: (HasMajorTicks f a, Settable f)
-  => LensLike' f a [Double]
+  => LensLike' f a [N a]
 majorTickPositions = majorTicksFunction . mapped
 
 -- | Setter over the final positions the major ticks. This is not as
@@ -307,7 +300,7 @@
 --   you want to add or modify existing tick positions.
 minorTickPositions
   :: (HasMinorTicks f a, Settable f)
-  => LensLike' f a [Double]
+  => LensLike' f a [N a]
 minorTickPositions = minorTicksFunction . mapped . mapped
 
 ------------------------------------------------------------------------
diff --git a/src/Plots/Axis/Title.hs b/src/Plots/Axis/Title.hs
--- a/src/Plots/Axis/Title.hs
+++ b/src/Plots/Axis/Title.hs
@@ -30,17 +30,18 @@
 import Diagrams.TwoD.Text
 import Plots.Types
 
-data Title v = Title
+data Title b v n = Title
   { tVisible   :: Bool
   , tTxt       :: String
-  , tTxtFun    :: TextAlignment Double -> String -> Diagram v
-  , tStyle     :: Style v Double
+  , tTxtFun    :: TextAlignment n -> String -> QDiagram b v n Any
+  , tStyle     :: Style v n
   , tPlacement :: Placement
-  , tAlignment :: TextAlignment Double
-  , tGap       :: Double
+  , tAlignment :: TextAlignment n
+  , tGap       :: n
   } deriving Typeable
 
-instance Default (Title V2) where
+instance (Renderable (Text n) b, TypeableFloat n)
+  => Default (Title b V2 n) where
   def = Title
     { tVisible = True
     , tTxt     = ""
@@ -51,31 +52,20 @@
     , tGap = 20
     }
 
-instance Default (Title V3) where
-  def = Title
-    { tVisible = True
-    , tTxt     = ""
-    , tTxtFun  = mempty
-    , tStyle   = mempty # fontSize (output 11)
-    , tPlacement = midAbove
-    , tAlignment = BoxAlignedText 0.5 0
-    , tGap = 20
-    }
-
-type instance V (Title v) = v
-type instance N (Title v) = Double
+type instance V (Title b v n) = v
+type instance N (Title b v n) = n
 
-instance HasVisibility (Title v) where
+instance HasVisibility (Title b v n) where
   visible = lens tVisible (\t b -> t {tVisible = b})
 
-instance HasGap (Title v) where
+instance HasGap (Title b v n) where
   gap = lens tGap (\t g -> t {tGap = g})
 
-instance HasPlacement (Title v) where
+instance HasPlacement (Title b v n) where
   placement = titlePlacement
 
-class HasTitle a where
-  title :: Lens' a (Title (V a))
+class HasTitle a b | a -> b where
+  title :: Lens' a (Title b (V a) (N a))
 
   -- | The text used for the title. If the string is empty, no title is
   --   drawn.
@@ -87,7 +77,7 @@
   -- | The style applied to the title.
   --
   --   Default is 'mempty'.
-  titleStyle :: Lens' a (Style (V a) Double)
+  titleStyle :: Lens' a (Style (V a) (N a))
   titleStyle = title . lens tStyle (\t s -> t {tStyle = s})
 
   -- | The placement of the title against the axis.
@@ -99,30 +89,31 @@
   -- | The function used to draw the title text.
   --
   --   Default is 'mkText'.
-  titleTextFunction :: Lens' a (TextAlignment Double -> String -> Diagram (V a))
+  titleTextFunction :: Lens' a (TextAlignment (N a) -> String -> QDiagram b (V a) (N a) Any)
   titleTextFunction = title . lens tTxtFun (\t s -> t {tTxtFun = s})
 
   -- | The 'TextAlignment' used for the title text. This is given to the
   --   'titleTextFunction'.
   --
   --   Default is @'BoxAlignedText' 0.5 0@.
-  titleAlignment :: Lens' a (TextAlignment Double)
+  titleAlignment :: Lens' a (TextAlignment (N a))
   titleAlignment = title . lens tAlignment (\t s -> t {tAlignment = s})
 
   -- | The gap between the axis and the title.
   --
   --   Default is 'mempty'.
-  titleGap :: Lens' a Double
+  titleGap :: Lens' a (N a)
   titleGap = title . lens tGap (\t s -> t {tGap = s})
 
-instance HasTitle (Title v) where
+instance HasTitle (Title b v n) b where
   title = id
 
 -- | Render the title and place it around the bounding box.
 drawTitle
-  :: BoundingBox V2 Double
-  -> Title V2
-  -> Diagram V2
+  :: TypeableFloat n
+  => BoundingBox V2 n
+  -> Title b V2 n
+  -> QDiagram b V2 n Any
 drawTitle bb t
   | t ^. hidden || nullOf titleText t = mempty
   | otherwise = placeAgainst
diff --git a/src/Plots/Legend.hs b/src/Plots/Legend.hs
--- a/src/Plots/Legend.hs
+++ b/src/Plots/Legend.hs
@@ -23,58 +23,58 @@
 import           Data.Typeable
 import           Diagrams.TwoD.Text
 
-import           Geometry.BoundingBox
-import           Diagrams.Prelude     hiding (orient)
+import           Diagrams.BoundingBox
+import           Diagrams.Prelude
 
 import           Plots.Types
 
 -- | The data type to describe how to draw a legend. For legend entries
 --   see 'Plots.Types.LegendEntry'.
-data Legend = Legend
+data Legend b n = Legend
   { lPlacement   :: Placement
-  , lGap         :: Double
-  , lStyle       :: Style V2 Double
-  , lSpacing     :: Double
-  , lTextWidth   :: Double
-  , lTextF       :: String -> Diagram V2
-  , lTextStyle   :: Style V2 Double
+  , lGap         :: n
+  , lStyle       :: Style V2 n
+  , lSpacing     :: n
+  , lTextWidth   :: n
+  , lTextF       :: String -> QDiagram b V2 n Any
+  , lTextStyle   :: Style V2 n
   , lOrientation :: Orientation
   , lVisible     :: Bool
   } deriving Typeable
 
-type instance V Legend = V2
-type instance N Legend = Double
+type instance V (Legend b n) = V2
+type instance N (Legend b n) = n
 
-class HasLegend a where
+class HasLegend a b | a -> b where
   -- | Lens onto the 'Legend' of something.
-  legend :: Lens' a Legend
+  legend :: Lens' a (Legend b (N a))
 
   -- | The 'Placement' of the legend relative to the 'Plots.Axis.Axis'.
   legendPlacement :: Lens' a Placement
   legendPlacement = legend . lens lPlacement (\l a -> l {lPlacement = a})
 
   -- | The gap between the legend and the axis.
-  legendGap :: Lens' a Double
+  legendGap :: Lens' a (N a)
   legendGap = legend . lens lGap (\l a -> l {lGap = a})
 
   -- | The style applied to the surronding box of the legend.
-  legendStyle :: Lens' a (Style V2 Double)
+  legendStyle :: Lens' a (Style V2 (N a))
   legendStyle = legend . lens lStyle (\l a -> l {lStyle = a})
 
   -- | The spacing between entries in the legend.
-  legendSpacing :: Lens' a Double
+  legendSpacing :: Lens' a (N a)
   legendSpacing = legend . lens lSpacing (\l a -> l {lSpacing = a})
 
   -- | The space given for the text in the legend.
-  legendTextWidth :: Lens' a Double
+  legendTextWidth :: Lens' a (N a)
   legendTextWidth = legend . lens lTextWidth (\l a -> l {lTextWidth = a})
 
   -- | The function to generate the legend text.
-  legendTextFunction :: Lens' a (String -> Diagram V2)
+  legendTextFunction :: Lens' a (String -> QDiagram b V2 (N a) Any)
   legendTextFunction = legend . lens lTextF (\l a -> l {lTextF = a})
 
   -- | The style applied to the legend text.
-  legendTextStyle :: Lens' a (Style V2 Double)
+  legendTextStyle :: Lens' a (Style V2 (N a))
   legendTextStyle = legend . lens lTextStyle (\l a -> l {lTextStyle = a})
 
   -- | The way the legend entries are listed. (This will likely be
@@ -82,16 +82,16 @@
   legendOrientation :: Lens' a Orientation
   legendOrientation = legend . lens lOrientation (\l a -> l {lOrientation = a})
 
-instance HasLegend Legend where
+instance HasLegend (Legend b n) b where
   legend = id
 
-instance HasGap Legend where
+instance HasGap (Legend b n) where
   gap = legendGap
 
-instance HasPlacement Legend where
+instance HasPlacement (Legend b n) where
   placement = legendPlacement
 
-instance Default Legend where
+instance (TypeableFloat n, Renderable (Text n) b) => Default (Legend b n) where
   def = Legend
     { lPlacement   = rightTop
     , lGap         = 20
@@ -104,26 +104,24 @@
     , lVisible     = True
     }
 
-instance HasVisibility Legend where
+instance HasVisibility (Legend b n) where
   visible = lens lVisible (\l a -> l {lVisible = a})
 
-instance ApplyStyle Legend
-
--- | The style for the bounding box of the legend.
-instance HasStyle Legend where
-  style = legendStyle
-  {-# INLINE style #-}
+instance TypeableFloat n => HasStyle (Legend b n) where
+  applyStyle sty = over legendStyle (applyStyle sty)
 
-instance HasOrientation Legend where
+instance HasOrientation (Legend b n) where
   orientation = legendOrientation
 
 -- | Draw a legend to the bounding box using the legend entries and
 --   legend options.
 drawLegend
-  :: BoundingBox V2 Double  -- ^ bounding box to place legend against
-  -> [(Diagram V2, String)] -- ^ diagram pictures along with their key
-  -> Legend                 -- ^ options for drawing the legend
-  -> Diagram V2             -- ^ rendered legend
+  :: (TypeableFloat n,
+      Renderable (Path V2 n) b)
+  => BoundingBox V2 n                -- ^ bounding box to place legend against
+  -> [(QDiagram b V2 n Any, String)] -- ^ diagram pictures along with their key
+  -> Legend b n                      -- ^ options for drawing the legend
+  -> QDiagram b V2 n Any             -- ^ rendered legend
 drawLegend bb entries l
   | l ^. hidden || null entries = mempty
   | otherwise   = placeAgainst
diff --git a/src/Plots/Name.hs b/src/Plots/Name.hs
--- a/src/Plots/Name.hs
+++ b/src/Plots/Name.hs
@@ -3,48 +3,48 @@
 
 module Plots.Name where
 
--- import Control.Lens
--- -- import Data.Map            (Map)
--- import Data.Ord            (comparing)
--- import Data.Function
--- import Data.Typeable
--- import Diagrams.Types.Names
--- import Diagrams.Prelude    hiding (view)
+import Control.Lens
+-- import Data.Map            (Map)
+import Data.Ord            (comparing)
+import Data.Function
+import Data.Typeable
+import Diagrams.Core.Names
+import Diagrams.Prelude    hiding (view)
 
--- data PlotName = PlotName
---   { _plotName    :: String
---   , _namedSize2D :: SizeSpec V2 Double
---   , _namedT2     :: T2 Double
---   } deriving Typeable
+data PlotName n = PlotName
+  { _plotName    :: String
+  , _namedSize2D :: SizeSpec V2 n
+  , _namedT2     :: T2 n
+  } deriving Typeable
 
--- makeLenses ''PlotName
+makeLenses ''PlotName
 
--- instance Show PlotName where
---   show pn = "Plot: " ++ view plotName pn
+instance Show (PlotName n) where
+  show pn = "Plot: " ++ view plotName pn
 
--- -- equating :: Eq b => (a -> b) -> a -> a -> Bool
--- -- equating = on (==)
+-- equating :: Eq b => (a -> b) -> a -> a -> Bool
+-- equating = on (==)
 
--- instance Eq PlotName where
---   (==) = on (==) (view plotName)
+instance Eq (PlotName n) where
+  (==) = on (==) (view plotName)
 
--- instance Ord PlotName where
---   compare = comparing (view plotName)
+instance Ord (PlotName n) where
+  compare = comparing (view plotName)
 
--- instance IsName PlotName
+instance Typeable n => IsName (PlotName n)
 
--- -- _AName :: IsName a => Prism' AName a
--- -- _AName = prism' AName (\(AName a) -> cast a)
+-- _AName :: IsName a => Prism' AName a
+-- _AName = prism' AName (\(AName a) -> cast a)
 
--- -- _Names :: IsName a => Traversal' Name a
--- -- _Names = _Wrapped' . traverse . _AName
+-- _Names :: IsName a => Traversal' Name a
+-- _Names = _Wrapped' . traverse . _AName
 
--- -- _NamedString :: Traversal' Name String
--- -- _NamedString = _Names
+-- _NamedString :: Traversal' Name String
+-- _NamedString = _Names
 
--- -- _NamedPlot :: Typeable n => Traversal' Name (PlotName n)
--- -- _NamedPlot = _Names
+-- _NamedPlot :: Typeable n => Traversal' Name (PlotName n)
+-- _NamedPlot = _Names
 
--- -- diaNames :: OrderedField n => QDiagram b V2 n Any -> Map Name [P2 n]
--- -- diaNames = over (mapped . traversed) location . view (subMap . _Wrapped')
+-- diaNames :: OrderedField n => QDiagram b V2 n Any -> Map Name [P2 n]
+-- diaNames = over (mapped . traversed) location . view (subMap . _Wrapped')
 
diff --git a/src/Plots/Style.hs b/src/Plots/Style.hs
--- a/src/Plots/Style.hs
+++ b/src/Plots/Style.hs
@@ -29,7 +29,6 @@
 
     -- ** Predefined styles
   , fadedColours
-  , fadedColours3D
   , vividColours
   , blackAndWhite
 
@@ -83,10 +82,6 @@
 import           Diagrams.Prelude hiding (magma)
 import           Linear
 
-import Diagrams.ThreeD.Attributes
-
-import Geometry
-
 -- | Plot styles are used to style each plot in an axis. Every 'Axis'
 --   comes with a list of plots styles (contained in the 'AxisStyle')
 --   which get applied the plots upon rendering.
@@ -126,23 +121,23 @@
 --      'histogramPlot')
 --   * 'markerStyle' - style used for markers in 'scatterPlot'
 --   * 'plotMarker' - marker used in 'scatterPlot'
-data PlotStyle v = PlotStyle
+data PlotStyle b v n = PlotStyle
   { _plotColour  :: Colour Double
-  , _lineStyle   :: Colour Double -> Style v Double
-  , _markerStyle :: Colour Double -> Style v Double
-  , _areaStyle   :: Colour Double -> Style v Double
-  , _textStyle   :: Colour Double -> Style v Double
-  , _plotMarker  :: Diagram v
+  , _lineStyle   :: Colour Double -> Style v n
+  , _markerStyle :: Colour Double -> Style v n
+  , _areaStyle   :: Colour Double -> Style v n
+  , _textStyle   :: Colour Double -> Style v n
+  , _plotMarker  :: QDiagram b v n Any
   } deriving Typeable
   -- XXX link to examples in haddock?
 
-type instance V (PlotStyle v) = v
-type instance N (PlotStyle v) = Double
+type instance V (PlotStyle b v n) = v
+type instance N (PlotStyle b v n) = n
 
 -- | Class for objects that contain a 'PlotStyle'.
-class HasPlotStyle f a where
+class HasPlotStyle f a b | a -> b where
   -- | Lens onto the 'PlotStyle'.
-  plotStyle :: LensLike' f a (PlotStyle (V a))
+  plotStyle :: LensLike' f a (PlotStyle b (V a) (N a))
 
   -- | The 'plotColour' is the overall colour of the plot. This is passed
   --   to the other styles ('lineStyle', 'markerStyle' etc.) to give an
@@ -157,60 +152,61 @@
   -- | This style is applied to any plots made up of lines only (like
   --   'Path' plots). This is a less general version of
   --   'lineStyleFunction'.
-  lineStyle :: Settable f => LensLike' f a (Style (V a) Double)
+  lineStyle :: Settable f => LensLike' f a (Style (V a) (N a))
   lineStyle = lineStyleFunction . mapped
 
   -- | A version 'lineStyle' with access to the current 'plotColour'
   --   when 'applyLineStyle' is used.
-  lineStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) Double)
+  lineStyleFunction :: Functor f => LensLike' f a (Colour Double ->
+    Style (V a) (N a))
   lineStyleFunction = plotStyle . lens _lineStyle (\p f -> p {_lineStyle = f})
 
   -- | This style is applied to any markers in the plot (usually the
   --   'plotMarker'). This is a less general version of
   --   'markerStyleFunction'.
-  markerStyle :: Settable f => LensLike' f a (Style (V a) Double)
+  markerStyle :: Settable f => LensLike' f a (Style (V a) (N a))
   markerStyle = markerStyleFunction . mapped
 
   -- | A version 'lineStyle' with access to the current 'plotColour' when
   --   'applyMarkerStyle' is used.
-  markerStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) Double)
+  markerStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))
   markerStyleFunction = plotStyle . lens _markerStyle (\p f -> p {_markerStyle = f})
 
   -- | This style is applied to any filled areas in a plot (like
   --   'Plots.Types.Bar' or 'Plots.Styles.Ribbon'). This is a less
   --   general version of 'areaStyleFunction'.
-  areaStyle :: Settable f => LensLike' f a (Style (V a) Double)
+  areaStyle :: Settable f => LensLike' f a (Style (V a) (N a))
   areaStyle = areaStyleFunction . mapped
 
   -- | A version 'areaStyle' with access to the current 'plotColour' when
   --   'applyAreaStyle' is used.
-  areaStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) Double)
+  areaStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))
   areaStyleFunction = plotStyle . lens _areaStyle (\p f -> p {_areaStyle = f})
 
   -- | This style is applied to text plots. This is a less general
   --   version of 'textStyleFunction'.
-  textStyle :: Settable f => LensLike' f a (Style (V a) Double)
+  textStyle :: Settable f => LensLike' f a (Style (V a) (N a))
   textStyle = textStyleFunction . mapped
 
   -- | A version 'textStyle' with access to the current 'plotColour' when
   --   'applyAreaStyle' is used.
-  textStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) Double)
+  textStyleFunction :: Functor f => LensLike' f a (Colour Double -> Style (V a) (N a))
   textStyleFunction = plotStyle . lens _textStyle (\p f -> p {_textStyle = f})
 
   -- | This diagram is used as any markers in a plot (like
   --   'Plots.Types.Scatter'). The 'markerStyle' will be applied to this
   --   marker when the plot gets rendered.
-  plotMarker :: Functor f => LensLike' f a (Diagram (V a))
+  plotMarker :: Functor f => LensLike' f a (QDiagram b (V a) (N a) Any)
   plotMarker = plotStyle . lens _plotMarker (\p f -> p {_plotMarker = f})
 
   -- | A traversal over all the styles ('lineStyle', 'markerStyle',
   --  'areaStyle' and 'textStyle') of a 'PlotStyle'. This is a less
   --  general version of 'plotStyleFunctions'.
-  plotStyles :: Settable f => LensLike' f a (Style (V a) Double)
+  plotStyles :: Settable f => LensLike' f a (Style (V a) (N a))
   plotStyles = plotStyleFunctions . mapped
 
   -- | A version of 'plotStyles' with access to the 'plotColour'.
-  plotStyleFunctions :: Applicative f => LensLike' f a (Colour Double -> Style (V a) Double)
+  plotStyleFunctions :: Applicative f => LensLike' f a (Colour Double -> Style (V a) (N a))
   plotStyleFunctions = plotStyle . t
     where
       t f PlotStyle {..} = PlotStyle
@@ -221,7 +217,7 @@
         <*> f _textStyle
         <*> pure _plotMarker
 
-instance HasPlotStyle f (PlotStyle v) where
+instance HasPlotStyle f (PlotStyle b v n) b where
   plotStyle = id
 
 -- Applying styles -----------------------------------------------------
@@ -229,48 +225,48 @@
 -- | Apply the 'lineStyle' from a 'PlotStyle'.
 --
 -- @
--- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle v -> t -> t
+-- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t
 -- @
 applyLineStyle
-  :: (InSpace v Double t, ApplyStyle t)
-  => PlotStyle v -> t -> t
+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)
+  => a -> t -> t
 applyLineStyle (view plotStyle -> sty) =
   applyStyle $ (sty ^. lineStyleFunction) (sty ^. plotColour)
 
 -- | Apply the 'markerStyle' from a 'PlotStyle'.
 --
 -- @
--- applyMarkerStyle :: (InSpace v n t, HasStyle t) => PlotStyle v -> t -> t
+-- applyMarkerStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t
 -- @
 applyMarkerStyle
-  :: (InSpace v Double t, ApplyStyle t)
-  => PlotStyle v -> t -> t
+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)
+  => a -> t -> t
 applyMarkerStyle (view plotStyle -> sty) =
   applyStyle $ (sty ^. markerStyleFunction) (sty ^. plotColour)
 
 -- | Apply the 'areaStyle from a 'PlotStyle'.
 --
 -- @
--- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle v -> t -> t
+-- applyLineStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t
 -- @
 applyAreaStyle
-  :: (InSpace v Double t, ApplyStyle t)
-  => PlotStyle v -> t -> t
+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)
+  => a -> t -> t
 applyAreaStyle (view plotStyle -> sty) =
   applyStyle $ (sty ^. areaStyleFunction) (sty ^. plotColour)
 
 -- | Apply the 'textStyle' from a 'PlotStyle'.
 --
 -- @
--- applyTextStyle :: (InSpace v n t, HasStyle t) => PlotStyle v -> t -> t
+-- applyTextStyle :: (InSpace v n t, HasStyle t) => PlotStyle b v n -> t -> t
 -- @
 applyTextStyle
-  :: (InSpace v Double t, ApplyStyle t)
-  => PlotStyle v -> t -> t
+  :: (SameSpace a t, HasPlotStyle (Const (PlotStyle b (V a) (N a))) a b, HasStyle t)
+  => a -> t -> t
 applyTextStyle (view plotStyle -> sty) =
   applyStyle $ (sty ^. textStyleFunction) (sty ^. plotColour)
 
-instance (Metric v, Traversable v) => Transformable (PlotStyle v) where
+instance (Metric v, Traversable v, OrderedField n) => Transformable (PlotStyle b v n) where
   transform t = (plotMarker %~ transform t) . (plotStyles %~ transform t)
 
 ------------------------------------------------------------------------
@@ -279,15 +275,15 @@
 
 -- | The 'AxisStyle' determines the 'Style's of the plots in an axis.
 --   There are various predefined styles to change the look of the plot.
-data AxisStyle v = AxisStyle ColourMap [PlotStyle v]
+data AxisStyle b v n = AxisStyle ColourMap [PlotStyle b v n]
 
-type instance V (AxisStyle v) = v
-type instance N (AxisStyle v) = Double
+type instance V (AxisStyle b v n) = v
+type instance N (AxisStyle b v n) = n
 
 -- | Class of things that have an 'AxisStyle'.
-class HasAxisStyle a where
+class HasAxisStyle a b | a -> b where
   -- | Lens onto the 'AxisStyle'.
-  axisStyle :: Lens' a (AxisStyle (V a))
+  axisStyle :: Lens' a (AxisStyle b (V a) (N a))
 
   -- | The 'ColourMap' is used to draw the 'Plots.Axis.ColourBar' and
   --   render plots like 'Plots.HeatMap'.
@@ -297,14 +293,14 @@
 
   -- | Traversal over the 'PlotStyle's in an 'AxisStyle'. There are always
   --   an infinite number of 'PlotStyle's in an 'AxisStyle'.
-  axisStyles :: IndexedTraversal' Int a (PlotStyle (V a))
+  axisStyles :: IndexedTraversal' Int a (PlotStyle b (V a) (N a))
   axisStyles = axisStyle . stys . traversed
     where stys f (AxisStyle c ss) = f ss <&> \ss' -> AxisStyle c ss'
 
-instance HasAxisStyle (AxisStyle v) where
+instance HasAxisStyle (AxisStyle b v n) b where
   axisStyle = id
 
-instance Applicative f => HasPlotStyle f (AxisStyle v) where
+instance Applicative f => HasPlotStyle f (AxisStyle b v n) b where
   plotStyle = axisStyles
 
 ------------------------------------------------------------------------
@@ -331,7 +327,7 @@
 -- | Theme using 'funColours' with faded fills and thick lines.
 --
 -- <<diagrams/src_Plots_Style_fadedColourPic.svg#diagram=fadedColourPic&width=600>>
-fadedColours :: AxisStyle V2
+fadedColours :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n
 fadedColours = AxisStyle viridis $
   zipWith mkStyle (cycle colours1) (cycle $ map stroke filledMarkers)
   where
@@ -340,20 +336,10 @@
     fadeS c = mempty # fc (blend 0.1 white c) # lc c # lwO 1
     fillS c = mempty # fc c # lw none
 
-fadedColours3D :: AxisStyle V3
-fadedColours3D = AxisStyle viridis $
-  zipWith mkStyle (cycle colours1) shapeMarkers
-  where
-    mkStyle c = PlotStyle c lineS fadeS fadeS fillS
-    lineS c = mempty # lwO 3 :: Style V3 Double
-    fadeS c = mempty # sc (blend 0.1 white c) # lwO 3 :: Style V3 Double
-    fillS c = mempty # sc c # lw none  :: Style V3 Double
-
-
 -- | Theme using 'funColours' with no lines on 'areaStyle.
 --
 -- <<diagrams/src_Plots_Style_vividColourPic.svg#diagram=vividColourPic&width=600>>
-vividColours :: AxisStyle V2
+vividColours :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n
 vividColours = AxisStyle viridis $
   zipWith mkStyle (cycle colours2) (cycle $ map (scale 1.2 . stroke) filledMarkers)
   where
@@ -365,7 +351,7 @@
 -- | Theme without any colours, useful for black and white documents.
 --
 -- <<diagrams/src_Plots_Style_blackAndWhitePic.svg#diagram=blackAndWhitePic&width=600>>
-blackAndWhite :: AxisStyle V2
+blackAndWhite :: (TypeableFloat n, Renderable (Path V2 n) b) => AxisStyle b V2 n
 blackAndWhite = AxisStyle greys $
   zipWith3 mkStyle (cycle colours) (cycle lineStyles) (cycle $ map stroke filledMarkers)
   where
@@ -411,18 +397,9 @@
 
 -- | Markers which have a filling, used for 'fadedColours' and
 --   'vividColours'.
-shapeMarkers :: [Diagram V3]
-shapeMarkers = scale 11 $ cycle
-  [ cube
-  , sphere
-  , cone
-  ]
-
--- | Markers which have a filling, used for 'fadedColours' and
---   'vividColours'.
 filledMarkers :: RealFloat n => [Path V2 n]
-filledMarkers = scale 11 . map (centerXY . toPath) $ cycle
-  [ circle 0.5 :: RealFloat n => Trail V2 n
+filledMarkers = scale 11 . map (centerXY . pathFromTrail) $ cycle
+  [ circle 0.5
   , square 1
   , triangle 1
   , diamond (1 / sqrt 2)
@@ -454,27 +431,27 @@
 asterisk n x
   = mconcat . take n
   . iterate (rotateBy (1/fromIntegral n))
-  $ fromVertices [origin, mkP2 0 x]
+  $ (0 ^& 0) ~~ (0 ^& x)
 
 -- | A rotated 'square'.
-diamond :: (InSpace V2 n t, FromTrail t, OrderedField n) => n -> t
-diamond = fromLocTrail . rotateBy (1/8) . square
+diamond :: (InSpace V2 n t, TrailLike t) => n -> t
+diamond = trailLike . rotateBy (1/8) . square
 
 -- | A rotated 'plus'.
-crossShape :: (InSpace V2 n t, FromTrail t, OrderedField n) => n -> t
-crossShape = fromLocTrail . rotateBy (1/8) . plus
+crossShape :: (InSpace V2 n t, TrailLike t) => n -> t
+crossShape = trailLike . rotateBy (1/8) . plus
 
 -- | Filled in @+@ symbol.
-plus :: (InSpace V2 n t, FromTrail t, OrderedField n) => n -> t
-plus x = fromLocLoop . (`at` mkP2 (x/6) (x/6))
-       . glueLine . mconcat . take 4
-       . iterate (rotateBy (1/4)) . (^?! _init)
+plus :: (InSpace V2 n t, TrailLike t) => n -> t
+plus x = trailLike . (`at` mkP2 (x/6) (x/6))
+       . wrapTrail . glueLine . mconcat . take 4
+       . iterate (rotateBy (1/4)) . onLineSegments init
        $ square (x/3)
 
 -- | A filled in five sided start of size x.
-star' :: (InSpace V2 n t, FromTrail t, OrderedField n) => n -> t
-star' x = fromLocLoop . (`at` mkP2 (-x/6) (x/6))
-        . glueLine . mconcat . take 5
+star' :: (InSpace V2 n t, TrailLike t) => n -> t
+star' x = trailLike . (`at` mkP2 (-x/6) (x/6))
+        . wrapTrail . glueLine . mconcat . take 5
         . iterate (rotateBy (-1/5)) $ spoke
   where
     spoke = fromOffsets . map r2 $ [(x/6,x/2), (x/6,-x/2)]
@@ -611,8 +588,8 @@
     (b,_) = M.findMax cm
     normalise x = (x - a) / (b - a)
 
-toStops :: ColourMap -> [GradientStop]
-toStops = map (\(x,c) -> GradientStop (opaque c) (fromRational x))
+toStops :: Fractional n => ColourMap -> [GradientStop n]
+toStops = map (\(x,c) -> GradientStop (SomeColor c) (fromRational x))
         . colourList
 
 -- Colour maps ---------------------------------------------------------
diff --git a/src/Plots/Types.hs b/src/Plots/Types.hs
--- a/src/Plots/Types.hs
+++ b/src/Plots/Types.hs
@@ -22,19 +22,19 @@
 --
 -- This module defines the various types for holding plots:
 --
--- [@'PlotOptions' v@]
+-- [@'PlotOptions' b v n@]
 -- Generic options all plots have.
 --
--- [@'PlotMods' v@]
+-- [@'PlotMods' b v n@]
 -- Includes 'PlotOptions' along with modifications to the 'PlotStyle'.
 --
--- [@'Plot' p@]
+-- [@'Plot' p b@]
 -- A 'rawPlot' @p@ grouped with a 'PlotMods'.
 --
--- [@'DynamicPlot' v@]
+-- [@'DynamicPlot' b v n@]
 -- A wrapped up 'Plot' so it can be stored in an 'Axis'.
 --
--- [@'StyledPlot' v@]
+-- [@'StyledPlot' b v n@]
 -- A 'DynamicPlot' with a concrete 'PlotStyle', ready to be rendered.
 --
 -- As well as other things like the 'Plotable' class, 'LegendEntries',
@@ -131,18 +131,12 @@
 import           Data.Ord            (comparing)
 import           Data.Orphans        ()
 import           Data.Typeable
-import           Diagrams.Prelude    as D hiding (orient)
+import           Diagrams.Prelude    as D
 
 import           Plots.Axis.Scale
 import           Plots.Style
 import           Plots.Util
 
--- XXX shouldn't need to import these
-import Diagrams.Combinators as D
-import Geometry.TwoD.Shapes
-
-import Diagrams.Types
-
 -- Orientation ---------------------------------------------------------
 
 data Orientation = Horizontal | Vertical
@@ -178,16 +172,16 @@
 
 class HasGap a where
   -- | The value of the gap when rendering.
-  gap :: Lens' a Double
+  gap :: Lens' a (N a)
 
 -- | A 'Position' is a point on an axis together with an anchor and a
 --   direction for the gap.
 data Placement = Placement
   { pAt     :: V2 Rational
   , pAnchor :: V2 Rational
-  , pGapDir :: Direction V2 Double
+  , pGapDir :: Direction V2 Rational
   }
-  deriving (Show, Eq)
+  deriving (Show, Read, Eq, Ord)
   -- In the future the axis position may be replaced by a reader-like
   -- anchor system where you can choose parts of the rendered axis as a
   -- position.
@@ -210,7 +204,7 @@
   placementAnchor = placement . lens pAnchor (\p a -> p {pAnchor = a})
 
   -- | The direction to extend the 'gap' when positioning.
-  gapDirection :: Lens' a (Direction V2 Double)
+  gapDirection :: Lens' a (Direction V2 Rational)
   gapDirection = placement . lens pGapDir (\p a -> p {pGapDir = a})
 
 instance HasPlacement Placement where
@@ -223,11 +217,11 @@
 pInside v = Placement
   { pAt     = v
   , pAnchor = v
-  , pGapDir = dirBetween' (P $ fromRational <$> v) origin
+  , pGapDir = dirBetween' (P v) origin
   }
 
 -- | @dirBetween p q@ returns the directions from @p@ to @q@
-dirBetween' :: (Metric v, Floating n) => Point v n -> Point v n -> Direction v n
+dirBetween' :: (Additive v, Num n) => Point v n -> Point v n -> Direction v n
 dirBetween' p q = direction $ q .-. p
 
 
@@ -266,11 +260,12 @@
 -- | A tool for aligned one object to another. Positions @b@ around the
 --   bounding box of @a@ by translating @b@.
 placeAgainst
-  :: (InSpace V2 n a, SameSpace a b, Enveloped a, Enveloped b, HasOrigin b)
+  :: (InSpace V2 n a, SameSpace a b, Enveloped a,
+      HasOrigin b, Alignable b)
   => a -> Placement -> n -> b -> b
 placeAgainst a (Placement (V2 px py) (V2 ax ay) d) n b
   = b # anchor
-      # moveTo (pos .+^ n *^ fromDirection (realToFrac <$> d))
+      # moveTo (pos .+^ n *^ fromDirection (fmap fromRational d))
   where
     pos    = mkP2 (lerp' px xu xl) (lerp' py yu yl)
     anchor = alignBy unitX (fromRational ax) . alignBy unitY (fromRational ay)
@@ -285,26 +280,26 @@
 
 -- | Type allowing use of the default legend picture (depending on the
 --   plot) or a custom legend picture with access to the 'PlotStyle'.
-data LegendPic v
+data LegendPic b v n
   = DefaultLegendPic
-  | CustomLegendPic (PlotStyle v -> Diagram v)
+  | CustomLegendPic (PlotStyle b v n -> QDiagram b v n Any)
 
-instance Default (LegendPic v) where
+instance Default (LegendPic b v n) where
   def = DefaultLegendPic
 
 -- | Data type for holding a legend entry.
-data LegendEntry v = LegendEntry
-  { lPic        :: LegendPic v
+data LegendEntry b v n = LegendEntry
+  { lPic        :: LegendPic b v n
   , lText       :: String
-  , lPrecedence :: Double
+  , lPrecedence :: n
   } deriving Typeable
 
 -- | The picture used in the legend entry.
-legendPicture :: Lens' (LegendEntry v) (LegendPic v)
+legendPicture :: Lens' (LegendEntry b v n) (LegendPic b v n)
 legendPicture = lens lPic (\l pic -> l {lPic = pic})
 
 -- | The text used in the legend entry.
-legendText :: Lens' (LegendEntry v) String
+legendText :: Lens' (LegendEntry b v n) String
 legendText = lens lText (\l txt -> l {lText = txt})
 
 -- | The order in which the legend entries are rendered. If precedences
@@ -312,15 +307,15 @@
 --   axis.
 --
 --   Default is @0@.
-legendPrecedence :: Lens' (LegendEntry v) Double
+legendPrecedence :: Lens' (LegendEntry b v n) n
 legendPrecedence = lens lPrecedence (\l n -> l {lPrecedence = n})
 
-type instance V (LegendEntry v) = v
-type instance N (LegendEntry v) = Double
+type instance V (LegendEntry b v n) = v
+type instance N (LegendEntry b v n) = n
 
 -- | Make a legend entry with a default 'legendPicture' and
 --   'legendPrecedence' 0 using the string as the 'legendText'.
-mkLegendEntry :: String -> LegendEntry v
+mkLegendEntry :: Num n => String -> LegendEntry b v n
 mkLegendEntry x = LegendEntry DefaultLegendPic x 0
 
 ------------------------------------------------------------------------
@@ -330,24 +325,24 @@
 -- Generic Plot info
 
 -- | Data type for holding information all plots must contain.
-data PlotOptions v = PlotOptions
+data PlotOptions b v n = PlotOptions
   { poName      :: Name
   , poClipPlot  :: Bool
-  , poLegend    :: [LegendEntry v]
+  , poLegend    :: [LegendEntry b v n]
   , poVisible   :: Bool
-  , poTransform :: Transformation v Double
+  , poTransform :: Transformation v n
   -- , poPostPlotBoundingBox :: BoundingBox v n -> BoundingBox v n
-  -- , poPlotPostProduction  :: QDiagram v Any -> QDiagram v Any
+  -- , poPlotPostProduction  :: QDiagram b v n Any -> QDiagram b v n Any
   } deriving Typeable
 
-type instance V (PlotOptions v) = v
-type instance N (PlotOptions v) = Double
+type instance V (PlotOptions b v n) = v
+type instance N (PlotOptions b v n) = n
 
 -- | Class of things that have 'PlotOptions'.
-class HasPlotOptions f a where
+class HasPlotOptions f a b | a -> b where
   {-# MINIMAL plotOptions #-}
   -- | Lens onto the 'PlotOptions'.
-  plotOptions :: LensLike' f a (PlotOptions (V a))
+  plotOptions :: LensLike' f a (PlotOptions b (V a) (N a))
 
   -- | The 'Name' applied to the plot. This gives a way to reference a
   --   specific plot in a rendered axis.
@@ -367,7 +362,7 @@
   -- | The legend entries to be used for the current plot.
   --
   --   'Default' is 'mempty'.
-  legendEntries :: Functor f => LensLike' f a [LegendEntry (V a)]
+  legendEntries :: Functor f => LensLike' f a [LegendEntry b (V a) (N a)]
   legendEntries = plotOptions . lens poLegend (\g a -> g {poLegend = a})
   {-# INLINE legendEntries #-}
 
@@ -375,7 +370,7 @@
   --   coordinates.
   --
   --   'Default' is 'mempty'.
-  plotTransform :: Functor f => LensLike' f a (Transformation (V a) Double)
+  plotTransform :: Functor f => LensLike' f a (Transformation (V a) (N a))
   plotTransform = plotOptions . lens poTransform (\g a -> g {poTransform = a})
   {-# INLINE plotTransform #-}
 
@@ -387,7 +382,7 @@
   plotVisible = plotOptions . lens poVisible (\po b -> po {poVisible = b})
   {-# INLINE plotVisible #-}
 
-instance (HasBasis v, Foldable v) => Default (PlotOptions v) where
+instance (Additive v, Num n) => Default (PlotOptions b v n) where
   def = PlotOptions
     { poName                = mempty
     , poClipPlot            = True
@@ -398,25 +393,25 @@
     -- , poPlotPostProduction  = id
     }
 
-instance HasPlotOptions f (PlotOptions v) where
+instance HasPlotOptions f (PlotOptions b v n) b where
   plotOptions = id
   {-# INLINE plotOptions #-}
 
-instance HasLinearMap v => Transformable (PlotOptions v) where
+instance (HasLinearMap v, Num n) => Transformable (PlotOptions b v n) where
   transform = over plotTransform . transform
 
--- instance HasBounds (PlotOptions v) v where
+-- instance HasBounds (PlotOptions b v n) v where
 --   bounds = plotBounds
 
 -- | Move origin by applying to @plotTransform@.
-instance Additive v => HasOrigin (PlotOptions v) where
+instance (Additive v, Num n) => HasOrigin (PlotOptions b v n) where
   moveOriginTo = over plotTransform . moveOriginTo
 
-instance Qualifiable (PlotOptions v) where
+instance Qualifiable (PlotOptions b v n) where
   n .>> p = over plotName (n .>>) p
 
 -- XXX template haskell getting in the way
--- instance HasVisibility (PlotOptions v) where
+-- instance HasVisibility (PlotOptions b v n) where
 --   visible = plotVisible
 
 -- | Add a 'LegendEntry' to something with 'PlotOptions' using the
@@ -424,27 +419,27 @@
 --   some typical examples:
 --
 -- @
--- 'key' :: 'String' -> 'State' ('Plot' ('ScatterPlot' v)) ()
--- 'key' :: 'String' -> 'State' ('DynamicPlot' v) ()
--- 'key' :: 'String' -> 'State' ('PlotMods' v) ()
+-- 'key' :: 'String' -> 'State' ('Plot' ('ScatterPlot' v n) b) ()
+-- 'key' :: 'String' -> 'State' ('DynamicPlot' b v n) ()
+-- 'key' :: 'String' -> 'State' ('PlotMods' b v n) ()
 -- @
 --
 --  If you only care about the name of the legend, use 'key'.
-key :: (HasPlotOptions Identity a, MonadState a m) => String -> m ()
+key :: (HasPlotOptions Identity a b, MonadState a m, Num (N a)) => String -> m ()
 key = addLegendEntry . mkLegendEntry
 
 -- | Add a 'LegendEntry' to something with 'PlotOptions'. Here are some
 --   typical examples:
 --
 -- @
--- 'addLegendEntry' :: 'LegendEntry' v -> 'State' ('Plot' ('ScatterPlot' v)) ()
--- 'addLegendEntry' :: 'LegendEntry' v -> 'State' ('DynamicPlot' v) ()
+-- 'addLegendEntry' :: 'LegendEntry' b v n -> 'State' ('Plot' ('ScatterPlot' v n) b) ()
+-- 'addLegendEntry' :: 'LegendEntry' b v n -> 'State' ('DynamicPlot' b v n) ()
 -- @
 --
 --  If you only care about the name of the legend, use 'key'.
 addLegendEntry
-  :: (HasPlotOptions Identity a, MonadState a m)
-  => LegendEntry (V a)
+  :: (HasPlotOptions Identity a b, MonadState a m)
+  => LegendEntry b (V a) (N a)
   -> m ()
 addLegendEntry l = legendEntries <>= [l]
 
@@ -456,17 +451,17 @@
 ------------------------------------------------------------------------
 
 -- | Information from the 'Plots.Axis.Axis' necessary to render a 'Plotable'.
-data AxisSpec v = AxisSpec
-  { _specBounds    :: v (Double, Double)
-  , _specTrans     :: Transformation v Double
+data AxisSpec v n = AxisSpec
+  { _specBounds    :: v (n, n)
+  , _specTrans     :: Transformation v n
   , _specScale     :: v LogScale
   , _specColourMap :: ColourMap
   }
 
 makeLenses ''AxisSpec
 
-type instance V (AxisSpec v) = v
-type instance N (AxisSpec v) = Double
+type instance V (AxisSpec v n) = v
+type instance N (AxisSpec v n) = n
 
 -- | Scale a number by log10-ing it and linearly scaling it so it's
 --   within the same range.
@@ -477,9 +472,7 @@
     where d = b - a
 
 -- | Apply log scaling and the transform to a point.
-specPoint
-  :: (Applicative v, Additive v, Foldable v)
-  => AxisSpec v -> Point v Double -> Point v Double
+specPoint :: (Applicative v, Additive v, Floating n) => AxisSpec v n -> Point v n -> Point v n
 specPoint (AxisSpec bs tr ss _) p =
   papply tr $ over _Point (scaleNum <$> bs <*> ss <*>) p
 
@@ -488,38 +481,36 @@
 ------------------------------------------------------------------------
 
 -- | Class defining how plots should be rendered.
-class (Typeable p, Enveloped p, N p ~ Double) => Plotable p where
+class (Typeable p, Enveloped p) => Plotable p b where
   -- | Render a plot according to the 'AxisSpec', using the 'PlotStyle'.
   renderPlotable
-    :: InSpace v Double p
-    => AxisSpec v
-    -> PlotStyle v
+    :: InSpace v n p
+    => AxisSpec v n
+    -> PlotStyle b v n
     -> p
-    -> Diagram v
+    -> QDiagram b v n Any
 
   -- | The default legend picture when the 'LegendPic' is
   --   'DefaultLegendPic'.
   defLegendPic
-    :: InSpace v Double p
-    => PlotStyle v
+    :: InSpace v n p
+    => PlotStyle b v n
     -> p
-    -> Diagram v
+    -> QDiagram b v n Any
   defLegendPic = mempty
 
-instance (Typeable v, HasLinearMap v) => Plotable (Diagram v) where
+instance (Typeable b, Typeable v, Metric v, Typeable n, OrderedField n)
+  => Plotable (QDiagram b v n Any) b where
   renderPlotable s _ dia = dia # transform (s^.specTrans)
 
-strokePathV :: (Typeable v, Metric v, Typeable n, OrderedField n) => Path v n -> QDiagram v n Any
-strokePathV path = mkQD (Prim path) (getEnvelope path) mempty mempty
-
-instance (Typeable v, R1 v, HasLinearMap v) => Plotable (Path v Double) where
+instance (TypeableFloat n, Renderable (Path V2 n) b) => Plotable (Path V2 n) b where
   renderPlotable s sty path
-    = strokePathV path
+    = stroke path
         # transform (s^.specTrans)
         # applyLineStyle sty
 
   defLegendPic sty _
-    = strokePathV (fromVertices [(-10) *^ unitX, 10 *^ unitX])
+    = (p2 (-10,0) ~~ p2 (10,0))
         # applyLineStyle sty
 
 ------------------------------------------------------------------------
@@ -536,26 +527,26 @@
   hidden = visible . involuted not
   {-# INLINE hidden #-}
 
-instance HasVisibility (PlotOptions v) where
+instance HasVisibility (PlotOptions b v n) where
   visible = plotVisible
 
-instance HasVisibility (PlotMods v) where
+instance HasVisibility (PlotMods b v n) where
   visible = plotVisible
 
-instance HasVisibility (Plot p) where
+instance HasVisibility (Plot p b) where
   visible = plotVisible
 
-instance HasVisibility (DynamicPlot v) where
+instance HasVisibility (DynamicPlot b v n) where
   visible = plotVisible
 
-instance HasVisibility (StyledPlot v) where
+instance HasVisibility (StyledPlot b v n) where
   visible = plotVisible
 
 -- | Set 'visible' to 'False' for the given setter.
 --
 -- @
--- 'hide' 'minorTicks'          :: 'State' ('Axis' v) ()
--- 'hide' ('xAxis' . 'gridLines') :: 'State' ('Axis' v) ()
+-- 'hide' 'minorTicks'          :: 'State' ('Axis' b v n) ()
+-- 'hide' ('xAxis' . 'gridLines') :: 'State' ('Axis' b v n) ()
 -- @
 hide :: (MonadState s m, HasVisibility a) => ASetter' s a -> m ()
 hide l = l . visible .= False
@@ -563,8 +554,8 @@
 -- | Set 'visible' to 'True' for the given setter.
 --
 -- @
--- 'display' 'minorGridLines' :: 'State' ('Axis' v) ()
--- 'display' 'colourBar'      :: 'State' ('Axis' v) ()
+-- 'display' 'minorGridLines' :: 'State' ('Axis' b v n) ()
+-- 'display' 'colourBar'      :: 'State' ('Axis' b v n) ()
 -- @
 display :: (MonadState s m, HasVisibility a) => ASetter' s a -> m ()
 display l = l . visible .= True
@@ -574,20 +565,20 @@
 ------------------------------------------------------------------------
 
 -- | A 'PlotOptions' with modifications to a 'PlotStyle'.
-data PlotMods v
-  = PlotMods (PlotOptions v) (PlotStyle v -> PlotStyle v)
+data PlotMods b v n
+  = PlotMods (PlotOptions b v n) (PlotStyle b v n -> PlotStyle b v n)
 
-type instance V (PlotMods v) = v
-type instance N (PlotMods v) = Double
+type instance V (PlotMods b v n) = v
+type instance N (PlotMods b v n) = n
 
-instance Functor f => HasPlotOptions f (PlotMods v) where
+instance Functor f => HasPlotOptions f (PlotMods b v n) b where
   plotOptions f (PlotMods opts sty) = f opts <&> \opts' -> PlotMods opts' sty
 
-instance Settable f => HasPlotStyle f (PlotMods v) where
+instance Settable f => HasPlotStyle f (PlotMods b v n) b where
   plotStyle = sty . mapped where
     sty f (PlotMods opts s) = f s <&> \s' -> PlotMods opts s'
 
-instance (HasBasis v, Foldable v) => Default (PlotMods v) where
+instance (Additive v, Num n) => Default (PlotMods b v n) where
   def = PlotMods def id
 
 ------------------------------------------------------------------------
@@ -596,35 +587,35 @@
 
 -- | A parameterised plot, together with a 'PlotMods'. This type has an
 --   instance of many classes for modifying specific plots.
-data Plot p =
+data Plot p b =
   Plot p
-       (PlotOptions (V p))
-       (PlotStyle (V p) -> PlotStyle (V p))
+       (PlotOptions b (V p) (N p))
+       (PlotStyle b (V p) (N p) -> PlotStyle b (V p) (N p))
   deriving Typeable
 
-type instance V (Plot p) = V p
-type instance N (Plot p) = Double
+type instance V (Plot p b) = V p
+type instance N (Plot p b) = N p
 
-instance Functor f => HasPlotOptions f (Plot p) where
+instance Functor f => HasPlotOptions f (Plot p b) b where
   plotOptions f (Plot p opts sty) = f opts <&> \opts' -> Plot p opts' sty
 
-instance Settable f => HasPlotStyle f (Plot p) where
+instance Settable f => HasPlotStyle f (Plot p b) b where
   plotStyle = sty . mapped where
     sty f (Plot p opts s) = f s <&> \s' -> Plot p opts s'
 
-instance HasOrientation p => HasOrientation (Plot p) where
+instance HasOrientation p => HasOrientation (Plot p b) where
   orientation = rawPlot . orientation
 
 -- | Make a 'Plot' with 'Default' 'PlotOptions'.
-mkPlot :: (InSpace v Double p, HasBasis v, Foldable v) => p -> Plot p
+mkPlot :: (Additive (V p), Num (N p)) => p -> Plot p b
 mkPlot p = Plot p def id
 
 -- | Lens onto the raw 'Plotable' inside a 'Plot'.
-rawPlot :: SameSpace p p' => Lens (Plot p) (Plot p') p p'
+rawPlot :: SameSpace p p' => Lens (Plot p b) (Plot p' b) p p'
 rawPlot f (Plot p opts ps) = f p <&> \p' -> Plot p' opts ps
 
 -- | The modifications to the 'PlotOptions' and 'PlotStyle' in a 'Plot'.
-plotMods :: Lens' (Plot p) (PlotMods (V p))
+plotMods :: Lens' (Plot p b) (PlotMods b (V p) (N p))
 plotMods f (Plot p opts ps) =
   f (PlotMods opts ps) <&> \(PlotMods opts' ps') -> Plot p opts' ps'
 
@@ -633,38 +624,38 @@
 ------------------------------------------------------------------------
 
 -- | A wrapped up 'Plot', used to store plots in an 'Axis'.
-data DynamicPlot v where
-  DynamicPlot :: (InSpace v Double p, Plotable p) => Plot p -> DynamicPlot v
+data DynamicPlot b v n where
+  DynamicPlot :: (InSpace v n p, Plotable p b) => Plot p b -> DynamicPlot b v n
   deriving Typeable
 
-type instance V (DynamicPlot v) = v
-type instance N (DynamicPlot v) = Double
+type instance V (DynamicPlot b v n) = v
+type instance N (DynamicPlot b v n) = n
 
 -- | Prism for a 'DynamicPlot'.
-_DynamicPlot :: Plotable p => Prism' (DynamicPlot (V p)) (Plot p)
+_DynamicPlot :: (Plotable p b, Typeable b) => Prism' (DynamicPlot b (V p) (N p)) (Plot p b)
 _DynamicPlot = prism' DynamicPlot (\(DynamicPlot p) -> cast p)
 
 -- | Traversal over the dynamic plot without the 'Plotable' constraint
 --   '_DynamicPlot' has.
-dynamicPlot :: forall p. Typeable p => Traversal' (DynamicPlot (V p)) (Plot p)
+dynamicPlot :: forall p b. (Typeable p, Typeable b)
+            => Traversal' (DynamicPlot b (V p) (N p)) (Plot p b)
 dynamicPlot f d@(DynamicPlot p) =
   case eq p of
     Just Refl -> f p <&> \p' -> DynamicPlot p'
     Nothing   -> pure d
-  where eq :: Typeable a => a -> Maybe (a :~: Plot p)
+  where eq :: Typeable a => a -> Maybe (a :~: Plot p b)
         eq _ = eqT
-
-instance Functor f => HasPlotOptions f (DynamicPlot v) where
+instance Functor f => HasPlotOptions f (DynamicPlot b v n) b where
   plotOptions f (DynamicPlot (Plot p opts sty)) =
     f opts <&> \opts' -> DynamicPlot (Plot p opts' sty)
 
-instance Settable f => HasPlotStyle f (DynamicPlot v) where
+instance Settable f => HasPlotStyle f (DynamicPlot b v n) b where
   plotStyle = sty . mapped where
-    sty :: Setter' (DynamicPlot v) (PlotStyle v -> PlotStyle v)
+    sty :: Setter' (DynamicPlot b v n) (PlotStyle b v n -> PlotStyle b v n)
     sty f (DynamicPlot (Plot p opts s)) = f s <&> \s' -> DynamicPlot (Plot p opts s')
 
 -- | The modifications to the 'PlotOptions' and 'PlotStyle' in a 'DynamicPlot'.
-dynamicPlotMods :: Lens' (DynamicPlot v) (PlotMods v)
+dynamicPlotMods :: Lens' (DynamicPlot b v n) (PlotMods b v n)
 dynamicPlotMods f (DynamicPlot (Plot p opts ps)) =
   f (PlotMods opts ps) <&> \(PlotMods opts' ps') -> DynamicPlot (Plot p opts' ps')
 
@@ -677,32 +668,32 @@
 --   with 'styledPlotLegend'.
 --
 --   You can make a 'StyledPlot' with 'styleDynamic'
-data StyledPlot v where
+data StyledPlot b v n where
   StyledPlot
-    :: Plotable p
+    :: Plotable p b
     => p
-    -> PlotOptions (V p)
-    -> PlotStyle (V p)
-    -> StyledPlot (V p)
+    -> PlotOptions b (V p) (N p)
+    -> PlotStyle b (V p) (N p)
+    -> StyledPlot b (V p) (N p)
 
-type instance V (StyledPlot v) = v
-type instance N (StyledPlot v) = Double
+type instance V (StyledPlot b v n) = v
+type instance N (StyledPlot b v n) = n
 
-instance Functor f => HasPlotOptions f (StyledPlot v) where
+instance Functor f => HasPlotOptions f (StyledPlot b v n) b where
   plotOptions f (StyledPlot p opts sty) =
     f opts <&> \opts' -> StyledPlot p opts' sty
 
-instance HasLinearMap v => Enveloped (StyledPlot v) where
+instance (Metric v, OrderedField n) => Enveloped (StyledPlot b v n) where
   getEnvelope (StyledPlot p opts _) =
     getEnvelope p & transform (poTransform opts)
 
-instance Functor f => HasPlotStyle f (StyledPlot v) where
+instance Functor f => HasPlotStyle f (StyledPlot b v n) b where
   plotStyle f (StyledPlot p opts sty) =
     f sty <&> StyledPlot p opts
 
 -- | Traversal over a raw plot of a styled plot. The type of the plot
 --   must match for the traversal to be successful.
-styledPlot :: forall p. Typeable p => Traversal' (StyledPlot (V p)) p
+styledPlot :: forall p b. Typeable p => Traversal' (StyledPlot b (V p) (N p)) p
 styledPlot f s@(StyledPlot p opts sty) =
   case eq p of
     Just Refl -> f p <&> \p' -> StyledPlot p' opts sty
@@ -711,17 +702,21 @@
         eq _ = eqT
 
 -- | Give a 'DynamicPlot' a concrete 'PlotStyle'.
-styleDynamic :: PlotStyle v -> DynamicPlot v -> StyledPlot v
+styleDynamic :: PlotStyle b v n -> DynamicPlot b v n -> StyledPlot b v n
 styleDynamic sty (DynamicPlot (Plot p opts styF)) = StyledPlot p opts (styF sty)
 
 -- | Render a 'StyledPlot' given an and 'AxisSpec'.
-renderStyledPlot :: HasLinearMap v => AxisSpec v -> StyledPlot v -> Diagram v
+renderStyledPlot
+  :: TypeableFloat n
+  => AxisSpec V2 n
+  -> StyledPlot b V2 n
+  -> QDiagram b V2 n Any
 renderStyledPlot aSpec (StyledPlot p opts sty)
   = renderPlotable aSpec sty p
-      & whenever (opts^.hidden) D.phantom
-      -- & whenever (opts^.clipPlot) (clipTo $ specRect aSpec) XXX ADD CLIPTO XXX
+      & whenever (opts^.hidden) phantom
+      & whenever (opts^.clipPlot) (clipTo $ specRect aSpec)
 
-specRect :: AxisSpec V2 -> Path V2 Double
+specRect :: TypeableFloat n => AxisSpec V2 n -> Path V2 n
 specRect aSpec =
   rect (xU - xL) (yU - yL)
     # moveTo (mkP2 ((xU+xL)/2) ((yU+yL)/2))
@@ -733,7 +728,9 @@
 -- | Get the legend rendered entries from a single styled plot. The
 --   resulting entries are in no particular order. See also
 --   'styledPlotLegends'.
-singleStyledPlotLegend :: StyledPlot v -> [(Double, Diagram v, String)] -- ^ @(z-order, legend pic, legend text)@
+singleStyledPlotLegend
+  :: StyledPlot b v n
+  -> [(n, QDiagram b v n Any, String)] -- ^ @(z-order, legend pic, legend text)@
 singleStyledPlotLegend (StyledPlot p opts sty) =
   map mk (opts ^. legendEntries)
   where
@@ -744,7 +741,10 @@
                 CustomLegendPic f -> f sty
 
 -- | Render a list of legend entries, in order.
-styledPlotLegends :: [StyledPlot v] -> [(Diagram v, String)] -- ^ @[(legend pic, legend text)]@
+styledPlotLegends
+  :: Ord n
+  => [StyledPlot b v n]
+  -> [(QDiagram b v n Any, String)] -- ^ @[(legend pic, legend text)]@
 styledPlotLegends
   = map (\(_,p,t) -> (p,t))
   . sortOn (view _1)
diff --git a/src/Plots/Types/Bar.hs b/src/Plots/Types/Bar.hs
--- a/src/Plots/Types/Bar.hs
+++ b/src/Plots/Types/Bar.hs
@@ -80,12 +80,10 @@
 import           Plots.Util
 
 import qualified Data.List               as List
--- import           Diagrams.Core.Transform (fromSymmetric)
--- import           Linear.V2               (_yx)
-
-import Geometry.TwoD.Transform
+import           Diagrams.Core.Transform (fromSymmetric)
+import           Linear.V2               (_yx)
 
-import           Diagrams.Prelude        hiding (orient)
+import           Diagrams.Prelude
 
 -- Single bar ----------------------------------------------------------
 
@@ -99,9 +97,9 @@
 --   representation of a bar and is not intended to be used directly.
 
 -- | Construct a rectangle of size v with the bottom centre at point p.
-rectB :: (InSpace V2 n t, Fractional n, FromTrail t) => Point V2 n -> V2 n -> t
+rectB :: (InSpace V2 n t, TrailLike t) => Point V2 n -> V2 n -> t
 rectB p (V2 x y) =
-  fromLocTrail $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p .-^ V2 (x/2) 0
+  trailLike $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p .-^ V2 (x/2) 0
 
 ------------------------------------------------------------------------
 -- Bar layout
@@ -109,49 +107,49 @@
 
 -- | The way an individual bar plot or a group of bars plots are laid
 --   out on the axis.
-data BarLayout = BarLayout
+data BarLayout n = BarLayout
   { bOrient  :: Orientation
-  , bWidth   :: Double
-  , bSpacing :: Double
-  , bStart   :: Double
+  , bWidth   :: n
+  , bSpacing :: n
+  , bStart   :: n
   } deriving Typeable
 
-instance Default BarLayout where
+instance Fractional n => Default (BarLayout n) where
   def = BarLayout Horizontal 0.8 1 1
 
-type instance N BarLayout = Double
+type instance N (BarLayout n) = n
 
-instance HasOrientation BarLayout where
+instance HasOrientation (BarLayout n) where
   orientation = lens bOrient (\bl o -> bl {bOrient = o})
 
 -- | Class of things that have a modifiable 'BarLayout'.
 class HasOrientation a => HasBarLayout a where
   -- | Lens onto the 'BarLayout'
-  barLayout :: Lens' a BarLayout
+  barLayout :: Lens' a (BarLayout (N a))
 
   -- | The width bar for single / stacked bars or the width of a group
   --   for grouped bar plot.
   --
   --   Default is @0.8@
-  barWidth :: Lens' a Double
+  barWidth :: Lens' a (N a)
   barWidth = barLayout . lens bWidth (\bl w -> bl {bWidth = w})
 
   -- | The spacing between each bar or group of bars.
   --
   --   Default is @1@
-  barSpacing :: Lens' a Double
+  barSpacing :: Lens' a (N a)
   barSpacing = barLayout . lens bSpacing (\bl s -> bl {bSpacing = s})
 
   -- | The distance from the axis to centre of the first bar.
   --
   --   Default is @1@
-  barStart :: Lens' a Double
+  barStart :: Lens' a (N a)
   barStart = barLayout . lens bStart (\bl x -> bl {bStart = x})
 
-instance HasBarLayout BarLayout where
+instance HasBarLayout (BarLayout n) where
   barLayout = id
 
-instance HasBarLayout a => HasBarLayout (Plot a) where
+instance HasBarLayout a => HasBarLayout (Plot a b) where
   barLayout = rawPlot . barLayout
 
 ------------------------------------------------------------------------
@@ -165,18 +163,18 @@
 
 --   A 'BarPlot' is not intended to be constructed directly, instead use
 --   one of the helper functions.
-data BarPlot = BarPlot
-  { bpData   :: [(Double,Double)]
-  , bpLayout :: BarLayout
+data BarPlot n = BarPlot
+  { bpData   :: [(n,n)]
+  , bpLayout :: BarLayout n
   } deriving Typeable
 
-type instance V BarPlot = V2
-type instance N BarPlot = Double
+type instance V (BarPlot n) = V2
+type instance N (BarPlot n) = n
 
-instance HasOrientation BarPlot where
+instance HasOrientation (BarPlot n) where
   orientation = barLayout . orientation
 
-instance Enveloped BarPlot where
+instance OrderedField n => Enveloped (BarPlot n) where
   getEnvelope BarPlot {..} =
     getEnvelope . orient bpLayout _reflectXY id . (id :: Path v n -> Path v n) $
       ifoldMap drawBar bpData
@@ -184,7 +182,8 @@
       drawBar i (a,b) = rectB (mkP2 x a) (V2 (view barWidth bpLayout) (b - a))
         where x = view barStart bpLayout + fromIntegral i * view barSpacing bpLayout
 
-instance Plotable BarPlot where
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => Plotable (BarPlot n) b where
   renderPlotable s sty BarPlot {..} =
     ifoldMap drawBar bpData
       # orient bpLayout _reflectXY id
@@ -206,9 +205,9 @@
         | otherwise         = rect 4 10
 
       -- The legend bars don't look right if the line width is too big so we limit it
-      sty' = sty & areaStyle . _lw . mapped %~ atMost (local 0.8)
+      sty' = sty & areaStyle . _lw %~ atMost (local 0.8)
 
-instance HasBarLayout BarPlot where
+instance HasBarLayout (BarPlot n) where
   barLayout = lens bpLayout (\bp l -> bp {bpLayout = l})
 
 ------------------------------------------------------------------------
@@ -216,11 +215,11 @@
 ------------------------------------------------------------------------
 
 -- | Create equidistant bars using the values.
-mkBars :: F.Foldable f => BarLayout -> f Double -> BarPlot
+mkBars :: (F.Foldable f, Num n) => BarLayout n -> f n -> BarPlot n
 mkBars bl (F.toList -> ns) = mkFloatingBars bl (map (0,) ns)
 
 -- | Create equidistant bars with lower and upper bounds for each bar.
-mkFloatingBars :: F.Foldable f => BarLayout -> f (Double,Double) -> BarPlot
+mkFloatingBars :: F.Foldable f => BarLayout n -> f (n,n) -> BarPlot n
 mkFloatingBars bl (F.toList -> ns) = BarPlot
   { bpData   = ns
   , bpLayout = bl
@@ -229,9 +228,10 @@
 -- | Create uniform bars from groups of data, placing one group after
 --   the other.
 mkRunningBars
-  :: BarLayout
-  -> [[(Double, Double)]]
-  -> [BarPlot]
+  :: Num n
+  => BarLayout n
+  -> [[(n,n)]]
+  -> [BarPlot n]
 mkRunningBars bl = snd . foldr f (view barStart bl, [])
   where
     f d (x, bs) = (x + dx, mkFloatingBars bl {bStart = x} d : bs)
@@ -241,9 +241,10 @@
 --   other. The first list will be the same as @mkUniformBars opts (map
 --   (0,) ys)@, subsequent lists will be placed on top.
 mkStackedBars
-  :: BarLayout
-  -> [[Double]] -- values
-  -> [BarPlot]
+  :: Num n
+  => BarLayout n
+  -> [[n]] -- values
+  -> [BarPlot n]
 mkStackedBars bl = snd . List.mapAccumR f (repeat 0)
   where
     -- y0s are the base values for this set of bars, these accumulate
@@ -254,10 +255,11 @@
 
 -- | Similar to 'mkMultiStacked' but stack has the same height.
 mkStackedEqualBars
-  :: Double     -- ^ value each bar reaches
-  -> BarLayout
-  -> [[Double]] -- ^ values
-  -> [BarPlot]
+  :: Fractional n
+  => n     -- ^ value each bar reaches
+  -> BarLayout n
+  -> [[n]] -- ^ values
+  -> [BarPlot n]
 mkStackedEqualBars yM bl yss = mkStackedBars bl yss'
   where
     -- Multiplier for each bar to reach the desired height.
@@ -271,10 +273,11 @@
 --   as a single bar when using the 'BarPlotsOpts'. There is an addition
 --   parameter to adjust the width of each individual bar.
 mkGroupedBars
-  :: Double -- ^ width factor of individual bars (1 = touching)
-  -> BarLayout
-  -> [[Double]]
-  -> [BarPlot]
+  :: Fractional n
+  => n -- ^ width factor of individual bars (1 = touching)
+  -> BarLayout n
+  -> [[n]]
+  -> [BarPlot n]
 mkGroupedBars w bl xs =
   flip imap xs $ \i ns ->
     mkBars
@@ -291,10 +294,10 @@
 
 -- temporary functions that will be in next lib release
 
-_reflectionXY :: (HasLinearMap v, R2 v, Num n) => Transformation v n
-_reflectionXY = reflectionX <> reflectionY
+_reflectionXY :: (Additive v, R2 v, Num n) => Transformation v n
+_reflectionXY = fromSymmetric $ (_xy %~ view _yx) <-> (_xy %~ view _yx)
 
-_reflectXY :: (InSpace v n t, R2 v, HasLinearMap v, Transformable t) => t -> t
+_reflectXY :: (InSpace v n t, R2 v, Transformable t) => t -> t
 _reflectXY = transform _reflectionXY
 
 ----------------------------------------------------------------------------------
@@ -318,9 +321,11 @@
 --
 -- > barExample = renderAxis barAxis
 barPlot
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f Double                      -- ^ bar heights
-  -> State (Plot BarPlot) () -- ^ changes to the bars
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f)
+  => f n                           -- ^ bar heights
+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars
   -> m ()                          -- ^ changes to the 'Axis'
 barPlot ns = addPlotable (mkBars def ns)
 
@@ -339,9 +344,11 @@
 --
 -- > barExample' = renderAxis barAxis'
 barPlot'
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f Double  -- ^ bar heights
-  -> m ()      -- ^ changes to the 'Axis'
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f)
+  => f n  -- ^ bar heights
+  -> m () -- ^ changes to the 'Axis'
 barPlot' ns = addPlotable' (mkBars def ns)
 
 -- | A add 'BarPlot' to an 'Axis' while naming the bars.
@@ -361,9 +368,11 @@
 -- >
 -- > namedBarExample = renderAxis namedBarAxis
 namedBarPlot
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f (String, Double)                  -- ^ bar heights with name
-  -> State (Plot BarPlot) () -- ^ changes to the bars
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f)
+  => f (String,n)                  -- ^ bar heights with name
+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars
   -> m ()                          -- ^ changes to the 'Axis'
 namedBarPlot d s = do
   addPlot bp
@@ -387,16 +396,20 @@
 --
 -- > namedBarExample' = renderAxis namedBarAxis'
 namedBarPlot'
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f (String, Double) -- ^ bar heights with name
-  -> m ()               -- ^ add plot to the 'Axis'
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f)
+  => f (String,n)  -- ^ bar heights with name
+  -> m ()          -- ^ add plot to the 'Axis'
 namedBarPlot' ns = namedBarPlot ns (return ())
 
 -- | Same as 'barPlot' but with lower and upper bounds for the bars.
 floatingBarPlot
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f (Double,Double) -- ^ bar limits
-  -> State (Plot BarPlot) () -- ^ changes to the bars
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f)
+  => f (n,n) -- ^ bar limits
+  -> State (Plot (BarPlot n) b) () -- ^ changes to the bars
   -> m ()
 floatingBarPlot ns = addPlotable (mkFloatingBars def ns)
 
@@ -429,26 +442,26 @@
 --
 --   * Add labels to each (group of) bars with 'labelBars'.
 --
-data MultiBarState a = MultiBarState
-  { mbsLayout :: BarLayout
+data MultiBarState b n a = MultiBarState
+  { mbsLayout :: BarLayout n
     -- ^ options for building bar plots
 
-  , mbsMods :: [(a, Endo (PlotMods V2))]
+  , mbsMods :: [(a, Endo (PlotMods b V2 n))]
     -- ^ the data along with an adjustment to the plot properties
 
   , mbsLabels  :: [String]
     -- ^ labels to be placed at the bottom of each bar
 
-  , mbsBarFun :: BarLayout -> [[Double]] -> [BarPlot]
+  , mbsBarFun :: BarLayout n -> [[n]] -> [BarPlot n]
     -- ^ function used to build bar plots
   }
 
-type instance N (MultiBarState a) = Double
+type instance N (MultiBarState b n a) = n
 
-instance HasOrientation (MultiBarState a) where
+instance HasOrientation (MultiBarState b n a) where
   orientation = barLayout . orientation
 
-instance HasBarLayout (MultiBarState a) where
+instance HasBarLayout (MultiBarState b n a) where
   barLayout = lens mbsLayout (\mbs l -> mbs {mbsLayout = l})
 
 -- > import Plots
@@ -479,7 +492,7 @@
 
 -- Adding to axis ------------------------------------------------------
 
-multiFun :: Lens' (MultiBarState a) (BarLayout -> [[Double]] -> [BarPlot])
+multiFun :: Lens' (MultiBarState b n a) (BarLayout n -> [[n]] -> [BarPlot n])
 multiFun = lens mbsBarFun (\mbs f -> mbs {mbsBarFun = f})
 
 -- | Bars that are grouped together such that each group is a single
@@ -490,7 +503,7 @@
 --
 -- <<diagrams/src_Plots_Types_Bar_groupedBarsExample.svg#diagram=groupedBarsExample&height=400>>
 
-groupedBars :: State (MultiBarState a) ()
+groupedBars :: Fractional n => State (MultiBarState b n a) ()
 groupedBars = groupedBars' 1
 
 -- | Bars that are grouped together such that each group is a single
@@ -502,7 +515,7 @@
 --
 -- <<diagrams/src_Plots_Types_Bar_groupedBarsExample'.svg#diagram=groupedBarsExample'&height=400>>
 --
-groupedBars' :: Double -> State (MultiBarState a) ()
+groupedBars' :: Fractional n => n -> State (MultiBarState b n a) ()
 groupedBars' n = multiFun .= mkGroupedBars n
 
 -- | Bars stacked on top of each other.
@@ -511,7 +524,7 @@
 --
 -- <<diagrams/src_Plots_Types_Bar_stackedBarsExample.svg#diagram=stackedBarsExample&height=400>>
 --
-stackedBars :: State (MultiBarState a) ()
+stackedBars :: Num n => State (MultiBarState b n a) ()
 stackedBars = multiFun .= mkStackedBars
 
 -- | Bars stacked on top of each other where every bar is the given
@@ -522,7 +535,7 @@
 --
 -- <<diagrams/src_Plots_Types_Bar_stackedEqualBarsExample.svg#diagram=stackedEqualBarsExample&height=400>>
 --
-stackedEqualBars :: Double -> State (MultiBarState a) ()
+stackedEqualBars :: Fractional n => n -> State (MultiBarState b n a) ()
 stackedEqualBars n = multiFun .= mkStackedEqualBars n
 
 -- | Normal 'bars' where each data set follows the last.
@@ -531,7 +544,7 @@
 --
 -- <<diagrams/src_Plots_Types_Bar_runningBarsExample.svg#diagram=runningBarsExample&height=400>>
 --
-runningBars :: State (MultiBarState a) ()
+runningBars :: Num n => State (MultiBarState b n a) ()
 runningBars = multiFun .= \l xs -> mkRunningBars l (map (map (0,)) xs)
 
 -- | Construct multiple bars, grouped together. See 'MultiBarState' for
@@ -567,10 +580,13 @@
 --
 -- > multiBarExample = renderAxis multiBarAxis
 multiBars
-  :: (MonadState (Axis V2) m, F.Foldable f, F.Foldable g)
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (BarPlot n) b,
+      F.Foldable f,
+      F.Foldable g)
   => f a                            -- ^ data for multi plot
-  -> (a -> g Double)                -- ^ extract bar heights from each data set
-  -> State (MultiBarState a) () -- ^ state to make changes to the plot
+  -> (a -> g n)                     -- ^ extract bar heights from each data set
+  -> State (MultiBarState b n a) () -- ^ state to make changes to the plot
   -> m ()                           -- ^ changes to the 'Axis'
 multiBars (F.toList -> as) f st = do
   -- add the plots
@@ -598,7 +614,9 @@
 
 -- | Place labels under the centre of each bar using the 'BarLayout' by
 --   changing that 'axisTickLabels', using the provided string in order.
-barLayoutAxisLabels :: MonadState (Axis V2) m => BarLayout -> [String] -> m ()
+barLayoutAxisLabels
+  :: (MonadState (Axis b V2 n) m, Fractional n)
+  => BarLayout n -> [String] -> m ()
 barLayoutAxisLabels bl ls =
   unless (null ls) $
     axes . orient bl _y _x &= do
@@ -621,11 +639,11 @@
 --       * 'key' - add a legend entry for that group of bars
 --
 onBars
-  :: (a -> State (PlotMods V2) ())
+  :: (a -> State (PlotMods b V2 n) ())
      -- ^ Modifier the 'PlotOptions' and 'PlotStyle' for the bars
      -- associated with the data from @a@.
 
-  -> State (MultiBarState a) ()
+  -> State (MultiBarState b n a) ()
      -- ^ Changes to each data set when executing 'multiBars'.
 onBars f =
   mods . mapped %= \(a, endo) -> (a, endo <> Endo (execState (f a)))
@@ -634,7 +652,7 @@
 class HasLabels a where
   labels :: Lens' a [String]
 
-instance HasLabels (MultiBarState a) where
+instance HasLabels (MultiBarState b n a) where
   labels = lens mbsLabels (\mbs ls -> mbs {mbsLabels = ls})
 
 -- | Labels to use for each bar (or group of bars) along the axis.
diff --git a/src/Plots/Types/HeatMap.hs b/src/Plots/Types/HeatMap.hs
--- a/src/Plots/Types/HeatMap.hs
+++ b/src/Plots/Types/HeatMap.hs
@@ -45,13 +45,13 @@
   , pixelHeatRender'
 
   -- * Heat matrix
-  , HeatMatrix (..)
+  , HeatMatrix
   , heatImage
   , hmPoints
+  , hmSize
 
   -- * Low level construction
   , mkHeatMap
-  , mkHeatSurface
   , mkHeatMatrix
   , mkHeatMatrix'
 
@@ -76,12 +76,8 @@
 import           Plots.Style
 import           Plots.Types
 
-import Diagrams.TwoD.Image
-
-import Geometry.ThreeD.Shapes
-
 ------------------------------------------------------------------------
--- HeatMap
+-- Heatmap
 ------------------------------------------------------------------------
 
 -- | 2D Array of 'Double's.
@@ -200,10 +196,16 @@
 -- >       myHM       = mkHeatMatrix (V2 5 5) f
 -- >   in  pixelHeatRender myHM viridis
 --
-pixelHeatRender :: HeatMatrix -> ColourMap -> Diagram V2
-pixelHeatRender hm cm = alignBL $ imageEmb (ImageRGB8 img)
+pixelHeatRender
+  :: (Renderable (DImage n Embedded) b, TypeableFloat n)
+  => HeatMatrix
+  -> ColourMap
+  -> QDiagram b V2 n Any
+pixelHeatRender hm cm =
+  alignBL . image $ DImage (ImageRaster (ImageRGB8 img)) x y mempty
   where
-    img = heatImage hm cm
+    img    = heatImage hm cm
+    V2 x y = hmSize hm
 
 -- | Render an heatmap as an 'ImageRGB8' with @n@ pixels per heat matrix
 --   point.
@@ -219,11 +221,17 @@
 -- >       myHM       = mkHeatMatrix (V2 5 5) f
 -- >   in  pixelHeatRender' 10 myHM viridis
 --
-pixelHeatRender' :: Int -> HeatMatrix -> ColourMap -> Diagram V2
+pixelHeatRender'
+  :: (Renderable (DImage n Embedded) b, TypeableFloat n)
+  => Int
+  -> HeatMatrix
+  -> ColourMap
+  -> QDiagram b V2 n Any
 pixelHeatRender' n hm cm =
-  scale (1/fromIntegral n) . alignBL $ imageEmb (ImageRGB8 img)
+  scale (1/fromIntegral n) . alignBL . image $ DImage (ImageRaster (ImageRGB8 img)) (x*n) (y*n) mempty
   where
-    img = scaleImage n $ heatImage hm cm
+    img    = scaleImage n $ heatImage hm cm
+    V2 x y = hmSize hm
 
 -- | Scale an image so each pixel takes (n*n) pixels. This can be
 --   useful for using 'heatImage' on small heat matrices to give a
@@ -320,7 +328,11 @@
 -- >       myHM       = mkHeatMatrix (V2 5 5) f
 -- >   in  pathHeatRender myHM viridis
 --
-pathHeatRender :: HeatMatrix -> ColourMap -> Diagram V2
+pathHeatRender
+  :: (Renderable (Path V2 n) b, TypeableFloat n)
+  => HeatMatrix
+  -> ColourMap
+  -> QDiagram b V2 n Any
 pathHeatRender hm@(HeatMatrix _ _ a b) cm = ifoldMapOf hmPoints mk hm # lwO 0
   where
     normalise d = (d - a) / (b - a)
@@ -343,23 +355,23 @@
 
 -- | A mapping from points in a 2D axis do 'Double's. These 'Double's
 --   are converted to colours using the axis 'ColourMap'.
-data HeatMap v = HeatMap
+data HeatMap b n = HeatMap
   { hMatrix      :: HeatMatrix
-  , hStart       :: P2 Double
-  , hSize        :: V2 Double
-  , hGridSty     :: Style v Double
+  , hStart       :: P2 n
+  , hSize        :: V2 n
+  , hGridSty     :: Style V2 n
   , hGridVisible :: Bool
   , hLimits      :: Maybe (Double,Double)
-  , hDraw        :: HeatMatrix -> ColourMap -> Diagram v
+  , hDraw        :: HeatMatrix -> ColourMap -> QDiagram b V2 n Any
   } deriving Typeable
 
-type instance V (HeatMap v) = v
-type instance N (HeatMap v) = Double
+type instance V (HeatMap b n) = V2
+type instance N (HeatMap b n) = n
 
 -- | Class of things that let you change the heatmap options.
-class HasHeatMap f a where
+class HasHeatMap f a b | a -> b where
   -- | Lens onto the heatmap options.
-  heatMapOptions :: LensLike' f a (HeatMap (V a))
+  heatMapOptions :: LensLike' f a (HeatMap b (N a))
 
   -- | Whether there should be grid lines draw for the heat map.
   --
@@ -371,19 +383,19 @@
   --   visible.
   --
   --   Default is 'mempty'.
-  heatMapGridStyle :: Functor f => LensLike' f a (Style (V a) Double)
+  heatMapGridStyle :: Functor f => LensLike' f a (Style V2 (N a))
   heatMapGridStyle = heatMapOptions . lens hGridSty (\s b -> (s {hGridSty = b}))
 
   -- | The size of each individual square in the heat map.
   --
   --   Default is @'V2' 1 1@.
-  heatMapSize :: Functor f => LensLike' f a (V2 Double)
+  heatMapSize :: Functor f => LensLike' f a (V2 (N a))
   heatMapSize = heatMapOptions . lens hSize (\s b -> (s {hSize = b}))
 
   -- | The size of the full extent of the heat map.
   --
   --   Default is extent of the heat matrix.
-  heatMapExtent :: Functor f => LensLike' f a (V2 Double)
+  heatMapExtent :: (Functor f, Fractional (N a)) => LensLike' f a (V2 (N a))
   heatMapExtent = heatMapOptions . l where
     l f hm = f (hSize hm * s) <&> \x -> hm { hSize = x / s }
       where s = fmap fromIntegral (hmSize $ hMatrix hm)
@@ -391,11 +403,11 @@
   -- | The starting point at the bottom left corner of the heat map.
   --
   --   Default is 'origin'
-  heatMapStart :: Functor f => LensLike' f a (P2 Double)
+  heatMapStart :: Functor f => LensLike' f a (P2 (N a))
   heatMapStart = heatMapOptions . lens hStart (\s b -> (s {hStart = b}))
 
   -- | The center point of the heat map.
-  heatMapCentre :: Functor f => LensLike' f a (P2 Double)
+  heatMapCentre :: (Functor f, Fractional (N a)) => LensLike' f a (P2 (N a))
   heatMapCentre = heatMapOptions . l where
     l f hm = f (hStart hm .+^ v) <&> \p -> hm { hStart = p .-^ v }
       where v = fmap fromIntegral (hmSize $ hMatrix hm) * hSize hm / 2
@@ -409,31 +421,26 @@
   --   'pixelHeatRender'.
   --
   --   Default is 'pathHeatRender'.
-  heatMapRender :: Functor f => LensLike' f a (HeatMatrix -> ColourMap -> Diagram (V a))
+  heatMapRender :: Functor f => LensLike' f a (HeatMatrix -> ColourMap -> QDiagram b V2 (N a) Any)
   heatMapRender = heatMapOptions . lens hDraw (\s b -> (s {hDraw = b}))
 
-instance HasHeatMap f (HeatMap v) where
+instance HasHeatMap f (HeatMap b n) b where
   heatMapOptions = id
 
-instance (Functor f, HasHeatMap f a) => HasHeatMap f (Plot a) where
+instance (Functor f, HasHeatMap f a b) => HasHeatMap f (Plot a b) b where
   heatMapOptions = rawPlot . heatMapOptions
 
-instance Enveloped (HeatMap V2) where
+instance OrderedField n => Enveloped (HeatMap b n) where
   getEnvelope hm = getEnvelope (fromCorners p (p .+^ v))
     where p = view heatMapStart hm
           v = view heatMapExtent hm
 
-instance Enveloped (HeatMap V3) where
-  getEnvelope hm = getEnvelope (fromCorners (v3 p) (v3 $ p .+^ v))
-    where p = view heatMapStart hm
-          v = view heatMapExtent hm
-          v3 (P (V2 x y)) = P $ V3 x y 0
-
-instance Plotable (HeatMap V2) where
+instance (Typeable b, TypeableFloat n, Renderable (Path V2 n) b)
+    => Plotable (HeatMap b n) b where
   renderPlotable s _sty HeatMap {..} =
       transform (s^.specTrans) $
         grid <> hDraw matrix' (s^.specColourMap)
-                  # scaleV hSize
+                  # transform (scaleV hSize)
                   # moveTo hStart
     where
       --- TODO
@@ -449,30 +456,13 @@
   -- XXX make better
   defLegendPic sty HeatMap {..} = square 5 # applyAreaStyle sty
 
-instance Plotable (HeatMap V3) where
-  renderPlotable s _sty HeatMap {..} =
-      transform (s^.specTrans) $
-        grid <> hDraw matrix' (s^.specColourMap)
-                  # scaleV (v3 hSize)
-                  # moveTo (p3 hStart)
-    where
-      v3 (V2 x y) = V3 x y 1
-      p3 (P (V2 x y)) = P $ V3 x y 0
-      --- TODO
-      grid = mempty
-
-      --- XXX need to give _range to the axis somehow (for colour bar range)
-      matrix' = case hLimits of
-        -- Just r@(a,b) -> (r, hMatrix { hmFun = (/ (b - a)) . (+a) . hmFun hMatrix })
-        -- Nothing      -> normaliseHeatMatrix hMatrix
-        Just (a,b) -> hMatrix { hmBoundLower = a, hmBoundUpper = b }
-        Nothing    -> hMatrix
-
-  -- XXX make better
-  defLegendPic sty HeatMap {..} = cube # scale 5 # applyAreaStyle sty
+scaleV :: (Additive v, Fractional n) => v n -> Transformation v n
+scaleV v = fromLinear f f
+  where f = (liftU2 (*) v) <-> (\u -> liftU2 (/) u v)
 
--- | Construct a 'HeatMap' using the given 'HeatMatrix'.
-mkHeatMap :: HeatMatrix -> HeatMap V2
+-- | Construct a 'Heatmap' using the given 'HeatMatrix'.
+mkHeatMap :: (Renderable (Path V2 n) b, TypeableFloat n)
+          => HeatMatrix -> HeatMap b n
 mkHeatMap mat = HeatMap
   { hMatrix      = mat
   , hStart       = origin
@@ -483,17 +473,6 @@
   , hDraw        = pathHeatRender
   }
 
-mkHeatSurface :: HeatMatrix -> HeatMap V3
-mkHeatSurface mat = HeatMap
-  { hMatrix      = mat
-  , hStart       = origin
-  , hSize        = V2 1 1
-  , hGridSty     = mempty
-  , hGridVisible = False
-  , hLimits      = Nothing
-  , hDraw        = undefined
-  }
-
 -- Adding to axis ------------------------------------------------------
 
 -- | Add a 'HeatMap' plot using the extent of the heatmap and a
@@ -521,9 +500,12 @@
 heatMap
   :: (F.Foldable f,
       F.Foldable g,
-      MonadState (Axis V2) m)
+      TypeableFloat n,
+      Typeable b,
+      MonadState (Axis b V2 n) m,
+      Renderable (Path V2 n) b)
   => f (g Double)
-  -> State (Plot (HeatMap V2)) ()
+  -> State (Plot (HeatMap b n) b) ()
                    -- ^ changes to plot options
   -> m ()          -- ^ add plot to 'Axis'
 heatMap xss s = do
@@ -533,21 +515,6 @@
   -- (don't like this way of doing it)
   colourBarRange .= over both realToFrac (a,b)
 
-heatSurface
-  :: (F.Foldable f,
-      F.Foldable g,
-      MonadState (Axis V3) m)
-  => f (g Double)
-  -> State (Plot (HeatMap V3)) ()
-                   -- ^ changes to plot options
-  -> m ()          -- ^ add plot to 'Axis'
-heatSurface xss s = do
-  let hm@(HeatMatrix _ _ a b) = mkHeatMatrix' xss
-  addPlotable (mkHeatSurface hm) s
-
-  -- (don't like this way of doing it)
-  colourBarRange .= over both realToFrac (a,b)
-
 -- | Add a 'HeatMap' plot using the extent of the heatmap and a
 --   generating function.
 --
@@ -574,7 +541,10 @@
 heatMap'
   :: (F.Foldable f,
       F.Foldable g,
-      MonadState (Axis V2) m)
+      TypeableFloat n,
+      Typeable b,
+      MonadState (Axis b V2 n) m,
+      Renderable (Path V2 n) b)
   => f (g Double)
   -> m ()          -- ^ add plot to 'Axis'
 heatMap' xss = heatMap xss (return ())
@@ -604,10 +574,13 @@
 --
 heatMapIndexed
   :: (VectorLike V2 Int i,
-      MonadState (Axis V2) m)
+      TypeableFloat n,
+      Typeable b,
+      MonadState (Axis b V2 n) m,
+      Renderable (Path V2 n) b)
   => i             -- ^ extent of array
   -> (i -> Double) -- ^ heat from index
-  -> State (Plot (HeatMap V2)) ()
+  -> State (Plot (HeatMap b n) b) ()
                    -- ^ changes to plot options
   -> m ()          -- ^ add plot to 'Axis'
 heatMapIndexed i f s = do
@@ -643,14 +616,12 @@
 --
 heatMapIndexed'
   :: (VectorLike V2 Int i,
-      MonadState (Axis V2) m)
+      TypeableFloat n,
+      Typeable b,
+      MonadState (Axis b V2 n) m,
+      Renderable (Path V2 n) b)
   => i             -- ^ extent of array
   -> (i -> Double) -- ^ heat from index
   -> m ()          -- ^ add plot to 'Axis'
 heatMapIndexed' i f = heatMapIndexed i f (return ())
-
--- heatMapRender :: Functor f => LensLike' f a (HeatMatrix -> ColourMap -> Diagram (V a))
-
--- surfaceRender :: HeatMatrix -> ColourMap -> Diagram V3
--- surfaceRender hm cm =
 
diff --git a/src/Plots/Types/Histogram.hs b/src/Plots/Types/Histogram.hs
--- a/src/Plots/Types/Histogram.hs
+++ b/src/Plots/Types/Histogram.hs
@@ -64,7 +64,8 @@
 import qualified Data.Vector                 as V
 import qualified Statistics.Sample.Histogram as Stat
 
-import           Diagrams.Prelude            hiding (orient)
+import           Diagrams.Core.Transform     (fromSymmetric)
+import           Diagrams.Prelude
 import           Linear.V2                   (_yx)
 
 import           Plots.Axis
@@ -72,38 +73,38 @@
 import           Plots.Types
 import           Plots.Util
 
-import           Geometry.TwoD.Transform
 
 -- | Construct a rectangle of size $v$ with the bottom left at point $p$.
-rectBL :: (InSpace V2 n t, FromTrail t) => Point V2 n -> V2 n -> t
+rectBL :: (InSpace V2 n t, TrailLike t) => Point V2 n -> V2 n -> t
 rectBL p (V2 x y) =
-  fromLocTrail $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p
+  trailLike $ fromOffsets [V2 x 0, V2 0 y, V2 (-x) 0] # closeTrail `at` p
 
 ------------------------------------------------------------------------
 -- GHistogram plot
 ------------------------------------------------------------------------
 
 -- | Simple histogram type supporting uniform bins.
-data HistogramPlot = HistogramPlot
-  { hWidth  :: Double
-  , hStart  :: Double
-  , hValues :: [Double]
+data HistogramPlot n = HistogramPlot
+  { hWidth  :: n
+  , hStart  :: n
+  , hValues :: [n]
   , hOrient :: Orientation
   } deriving Typeable
 
-type instance V HistogramPlot = V2
-type instance N HistogramPlot = Double
+type instance V (HistogramPlot n) = V2
+type instance N (HistogramPlot n) = n
 
-instance Enveloped HistogramPlot where
+instance OrderedField n => Enveloped (HistogramPlot n) where
   getEnvelope HistogramPlot {..} =
-    -- don't like this reduntent code
-    getEnvelope . orient hOrient _reflectXY id . (id :: Path V2 Double -> Path V2 Double) $
+    -- don't like this redundant code
+    getEnvelope . orient hOrient _reflectXY id . (id :: Path v n -> Path v n) $
       ifoldMap drawBar hValues
     where
       drawBar i h = rectBL (mkP2 x 0) (V2 hWidth h)
         where x = hStart + fromIntegral i * hWidth
 
-instance Plotable HistogramPlot where
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => Plotable (HistogramPlot n) b where
   renderPlotable s sty HistogramPlot {..} =
     ifoldMap drawBar hValues
       # orient hOrient _reflectXY id
@@ -120,9 +121,9 @@
     $ alignB (rect 4 7) ||| alignB (rect 4 10) ||| alignB (rect 4 6)
     where
       -- The legend bars don't look right if the line width is too big so we limit it
-      sty' = sty & areaStyle . _lw . mapped %~ atMost (local 0.8)
+      sty' = sty & areaStyle . _lw %~ atMost (local 0.8)
 
-instance HasOrientation HistogramPlot where
+instance HasOrientation (HistogramPlot n) where
   orientation = lens hOrient $ \hp o -> hp {hOrient = o}
 
 ------------------------------------------------------------------------
@@ -131,21 +132,23 @@
 
 -- | Plot an already computed histogram with equally sized bins.
 computedHistogram
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => Double   -- ^ start of first bin
-  -> Double   -- ^ width of each bin
-  -> f Double -- ^ heights of the bins
-  -> State (Plot HistogramPlot) ()
+  :: (MonadState (Axis b V2 n) m,
+      Plotable (HistogramPlot n) b,
+      F.Foldable f)
+  => n   -- ^ start of first bin
+  -> n   -- ^ width of each bin
+  -> f n -- ^ heights of the bins
+  -> State (Plot (HistogramPlot n) b) ()
   -> m ()
 computedHistogram x0 w xs = addPlotable (mkComputedHistogram x0 w xs)
 
 -- | Construct a 'HistogramPlot' from raw histogram data.
 mkComputedHistogram
   :: F.Foldable f
-  => Double -- ^ start of first bin
-  -> Double -- ^ width of each bin
-  -> f Double -- ^ heights of the bins
-  -> HistogramPlot
+  => n -- ^ start of first bin
+  -> n -- ^ width of each bin
+  -> f n -- ^ heights of the bins
+  -> HistogramPlot n
 mkComputedHistogram x0 w xs = HistogramPlot x0 w (F.toList xs) Horizontal
 
 ----------------------------------------------------------------------------
@@ -189,7 +192,7 @@
 -- | The way to normalise the data from a histogram. The default method
 --   is 'count'.
 newtype NormalisationMethod =
-  NM { runNM :: Double -> V.Vector Double -> V.Vector Double }
+  NM { runNM :: forall n. Fractional n => n -> V.Vector n -> V.Vector n }
  -- width -> heights -> normalised heights
 
 instance Default NormalisationMethod where
@@ -252,17 +255,17 @@
 
 -- | Options for binning histogram data. For now only very basic
 --   histograms building is supported.
-data HistogramOptions = HistogramOptions
+data HistogramOptions n = HistogramOptions
   { hBins   :: Int
-  , hRange  :: Maybe (Double, Double)
+  , hRange  :: Maybe (n, n)
   , hNorm   :: NormalisationMethod
   , oOrient :: Orientation
   }
 
-type instance V HistogramOptions = V2
-type instance N HistogramOptions = Double
+type instance V (HistogramOptions n) = V2
+type instance N (HistogramOptions n) = n
 
-instance Default HistogramOptions where
+instance Default (HistogramOptions n) where
   def = HistogramOptions
     { hBins   = 10
     , hRange  = Nothing
@@ -270,12 +273,12 @@
     , oOrient = Vertical
     }
 
-instance HasOrientation HistogramOptions where
+instance HasOrientation (HistogramOptions n) where
   orientation = lens oOrient $ \ho o -> ho {oOrient = o}
 
 class HasOrientation a => HasHistogramOptions a where
   -- | Options for building the histogram from data.
-  histogramOptions :: Lens' a HistogramOptions
+  histogramOptions :: Lens' a (HistogramOptions (N a))
 
   -- | The number of bins (bars) to use for the histogram. Must be
   --   positive.
@@ -288,7 +291,7 @@
   --   data outside the range is ignored.
   --
   --   'Default' is 'Nothing'.
-  binRange :: Lens' a (Maybe (Double, Double))
+  binRange :: Lens' a (Maybe (N a, N a))
   binRange = histogramOptions . lens hRange (\ho r -> ho {hRange = r})
 
   -- | Should the resulting histogram be normalised so the total area is
@@ -298,15 +301,17 @@
   normaliseSample :: Lens' a NormalisationMethod
   normaliseSample = histogramOptions . lens hNorm (\ho b -> ho {hNorm = b})
 
-instance HasHistogramOptions HistogramOptions where
+instance HasHistogramOptions (HistogramOptions n) where
   histogramOptions = id
 
-instance HasHistogramOptions a => HasHistogramOptions (Plot a) where
+instance HasHistogramOptions a => HasHistogramOptions (Plot a b) where
   histogramOptions = rawPlot . histogramOptions
 
 -- | Create a histogram by binning the data using the
 --   'HistogramOptions'.
-mkHistogramPlot :: F.Foldable f => HistogramOptions -> f Double -> HistogramPlot
+mkHistogramPlot
+  :: (F.Foldable f, RealFrac n)
+  => HistogramOptions n -> f n -> HistogramPlot n
 mkHistogramPlot HistogramOptions {..} xs =
   HistogramPlot
     { hWidth  = w
@@ -321,9 +326,10 @@
     (a,b) = fromMaybe (range hBins v) hRange
 
 -- Taken from Statistics, which was limited to 'Double'.
-range :: Int                    -- ^ Number of bins (must be positive).
-      -> V.Vector Double        -- ^ Sample data (cannot be empty).
-      -> (Double, Double)
+range :: (Ord n, Fractional n)
+      => Int                    -- ^ Number of bins (must be positive).
+      -> V.Vector n             -- ^ Sample data (cannot be empty).
+      -> (n, n)
 range nBins xs
     | nBins < 1 = error "Plots.Types.Histogram: invalid bin count"
     | V.null xs = error "Plots.Types.Histogram: empty sample"
@@ -371,40 +377,40 @@
 --
 -- > histogramExample = renderAxis histogramAxis
 histogramPlot
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f Double -- ^ data
-  -> State (Plot HistogramOptions) () -- ^ changes to plot options
+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, F.Foldable f, RealFrac n)
+  => f n -- ^ data
+  -> State (Plot (HistogramOptions n) b) () -- ^ changes to plot options
   -> m () -- ^ add plot to axis
 histogramPlot ns s = addPlot (hoPlot & rawPlot %~ \ho -> mkHistogramPlot ho ns)
   where hoPlot = mkPlot def &~ s
 
 -- | Make a 'HistogramPlot' without changes to the plot options.
 histogramPlot'
-  :: (MonadState (Axis V2) m, F.Foldable f)
-  => f Double -- ^ data
+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, F.Foldable f, RealFrac n)
+  => f n -- ^ data
   -> m () -- ^ add plot to axis
 histogramPlot' d = histogramPlot d (return ())
 
 -- | Add a 'HistogramPlot' using a fold over the data.
 histogramPlotOf
-  :: (MonadState (Axis V2) m)
-  => Fold s Double -- ^ fold over the data
+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, RealFrac n)
+  => Fold s n -- ^ fold over the data
   -> s        -- ^ data to fold
-  -> State (Plot HistogramOptions) () -- ^ change to the plot
+  -> State (Plot (HistogramOptions n) b) () -- ^ change to the plot
   -> m () -- ^ add plot to the 'Axis'
 histogramPlotOf f s = histogramPlot (toListOf f s)
 
 -- | Same as 'histogramPlotOf' without any changes to the plot.
 histogramPlotOf'
-  :: MonadState (Axis V2) m
-  => Fold s Double -> s -> m ()
+  :: (MonadState (Axis b V2 n) m, Plotable (HistogramPlot n) b, RealFrac n)
+  => Fold s n -> s -> m ()
 histogramPlotOf' f s = histogramPlotOf f s (return ())
 
 -- temporary functions that will be in next lib release
 
-_reflectionXY :: (HasLinearMap v, R2 v, Num n) => Transformation v n
-_reflectionXY = reflectionX <> reflectionY
+_reflectionXY :: (Additive v, R2 v, Num n) => Transformation v n
+_reflectionXY = fromSymmetric $ (_xy %~ view _yx) <-> (_xy %~ view _yx)
 
-_reflectXY :: (InSpace v n t, HasLinearMap v, R2 v, Transformable t) => t -> t
+_reflectXY :: (InSpace v n t, R2 v, Transformable t) => t -> t
 _reflectXY = transform _reflectionXY
 
diff --git a/src/Plots/Types/Line.hs b/src/Plots/Types/Line.hs
--- a/src/Plots/Types/Line.hs
+++ b/src/Plots/Types/Line.hs
@@ -29,8 +29,8 @@
     -- * Line plots from points
   , linePlot
   , linePlot'
-  -- , smoothLinePlot
-  -- , smoothLinePlot'
+  , smoothLinePlot
+  , smoothLinePlot'
 
     -- * Construction utilities
 
@@ -55,46 +55,47 @@
 import           Plots.Axis
 import           Plots.Types
 
-import Data.Typeable
-import Geometry.Path
-import qualified Data.Sequence as S (fromList, singleton)
-
 ------------------------------------------------------------------------
 -- Trails and Paths
 ------------------------------------------------------------------------
 
-trail2Path :: Located (Trail v n) -> Path v n
-trail2Path = Path . S.singleton
-
 -- | Add a 'Trail' as a 'Plot' to an 'Axis'.
 trailPlot
-  :: (BaseSpace c ~ v, MonadState (Axis c) m, HasLinearMap v, Typeable v, R1 v)
-  => Located (Trail v Double) -- ^ trail to plot
-  -> State (Plot (Path v Double)) () -- ^ changes to plot options
+  :: (BaseSpace c ~ v,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
+  => Trail v n -- ^ trail to plot
+  -> State (Plot (Path v n) b) () -- ^ changes to plot options
   -> m () -- ^ add plot to the 'Axis'
-trailPlot = pathPlot . trail2Path
+trailPlot = pathPlot . toPath
 
 -- | Add a 'Trail' as a 'Plot' to an 'Axis' without changes to the plot
 --   options.
 trailPlot'
-  :: (BaseSpace c ~ v, MonadState (Axis c) m, HasLinearMap v, Typeable v, R1 v)
-  => Located (Trail v Double) -- ^ trail to plot
+  :: (BaseSpace c ~ v,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
+  => Trail v n -- ^ trail to plot
   -> m () -- ^ add plot to the 'Axis'
-trailPlot' = pathPlot' . trail2Path
+trailPlot' = pathPlot' . toPath
 
 -- | Add a 'Path' as a 'Plot' to an 'Axis'.
 pathPlot
-  :: (BaseSpace c ~ v, MonadState (Axis c) m, HasLinearMap v, Typeable v, R1 v)
-  => Path v Double -- ^ path to plot
-  -> State (Plot (Path v Double)) () -- ^ changes to plot options
+  :: (BaseSpace c ~ v,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
+  => Path v n -- ^ path to plot
+  -> State (Plot (Path v n) b) () -- ^ changes to plot options
   -> m () -- ^ add plot to the 'Axis'
 pathPlot = addPlotable
 
 -- | Add a 'Path' as a 'Plot' to an 'Axis' without changes to the plot
 --   options.
 pathPlot'
-  :: (BaseSpace c ~ v, MonadState (Axis c) m, HasLinearMap v, Typeable v, R1 v)
-  => Path v Double -- ^ path to plot
+  :: (BaseSpace c ~ v,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
+  => Path v n -- ^ path to plot
   -> m () -- ^ add plot to the 'Axis'
 pathPlot' = addPlotable'
 
@@ -105,56 +106,54 @@
 -- | Add a 'Path' plot from a list of points.
 linePlot
   :: (BaseSpace c ~ v,
-      HasLinearMap v,
+      Metric v,
       F.Foldable f,
-      R1 v,
-      PointLike v Double p,
-      MonadState (Axis c) m)
+      PointLike v n p,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
   => f p -- ^ points to turn into trail
-  -> State (Plot (Path v Double)) () -- ^ changes to plot options
+  -> State (Plot (Path v n) b) () -- ^ changes to plot options
   -> m () -- ^ add plot to the 'Axis'
 linePlot = addPlotable . toPath . mkTrail
 
 -- | Add a 'Path' plot from a list of points.
 linePlot'
   :: (BaseSpace c ~ v,
-      HasLinearMap v,
+      Metric v,
       F.Foldable f,
-      R1 v,
-      PointLike v Double p,
-      MonadState (Axis c) m)
+      PointLike v n p,
+      Plotable (Path v n) b,
+      MonadState (Axis b c n) m)
   => f p -- ^ points to turn into trail
   -> m () -- ^ add plot to the 'Axis'
 linePlot' = addPlotable' . toPath . mkTrail
 
 -- | Add a smooth 'Path' plot from a list of points using 'cubicSpline'.
--- smoothLinePlot
---   :: (BaseSpace c ~ v,
---       F.Foldable f,
---       Typeable v,
---       HasLinearMap v,
---       PointLike v Double p,
---       R1 v,
---       Fractional (v Double), -- needs fixing in diagrams-lib
---       MonadState (Axis c) m)
---   => f p -- ^ points to turn into trail
---   -> State (Plot (Path v Double)) () -- ^ changes to plot options
---   -> m () -- ^ add plot to the 'Axis'
--- smoothLinePlot = addPlotable . cubicSpline False . toListOf (folded . unpointLike)
+smoothLinePlot
+  :: (BaseSpace c ~ v,
+      F.Foldable f,
+      Metric v,
+      PointLike v n p,
+      Plotable (Path v n) b,
+      Fractional (v n), -- needs fixing in diagrams-lib
+      MonadState (Axis b c n) m)
+  => f p -- ^ points to turn into trail
+  -> State (Plot (Path v n) b) () -- ^ changes to plot options
+  -> m () -- ^ add plot to the 'Axis'
+smoothLinePlot = addPlotable . cubicSpline False . toListOf (folded . unpointLike)
 
 -- | Add a smooth 'Path' plot from a list of points using 'cubicSpline'
 --   without changes to the plot options.
--- smoothLinePlot'
---   :: (BaseSpace c ~ v,
---       F.Foldable f,
---       PointLike v Double p,
---       Typeable v,
---       R1 v,
---       Fractional (v Double), -- needs fixing in diagrams-lib
---       MonadState (Axis c) m)
---   => f p -- ^ points to turn into trail
---   -> m () -- ^ add plot to the 'Axis'
--- smoothLinePlot' xs = smoothLinePlot xs (return ())
+smoothLinePlot'
+  :: (BaseSpace c ~ v,
+      F.Foldable f,
+      PointLike v n p,
+      Plotable (Path v n) b,
+      Fractional (v n), -- needs fixing in diagrams-lib
+      MonadState (Axis b c n) m)
+  => f p -- ^ points to turn into trail
+  -> m () -- ^ add plot to the 'Axis'
+smoothLinePlot' xs = smoothLinePlot xs (return ())
 
 ------------------------------------------------------------------------
 -- Trail and path
@@ -174,5 +173,5 @@
 
 -- | Construct a localed trail from a fold over points.
 mkPathOf :: (PointLike v n p, OrderedField n) => Fold s t -> Fold t p -> s -> Path v n
-mkPathOf f1 f2 as = Path . S.fromList $ map (mkTrailOf f2) (toListOf f1 as)
+mkPathOf f1 f2 as = Path $ map (mkTrailOf f2) (toListOf f1 as)
 
diff --git a/src/Plots/Types/Pie.hs b/src/Plots/Types/Pie.hs
new file mode 100644
--- /dev/null
+++ b/src/Plots/Types/Pie.hs
@@ -0,0 +1,308 @@
+{-# LANGUAGE DeriveDataTypeable        #-}
+{-# LANGUAGE ExistentialQuantification #-}
+{-# LANGUAGE FlexibleContexts          #-}
+{-# LANGUAGE FlexibleInstances         #-}
+{-# LANGUAGE MultiParamTypeClasses     #-}
+{-# LANGUAGE RankNTypes                #-}
+{-# LANGUAGE RecordWildCards           #-}
+{-# LANGUAGE TypeFamilies              #-}
+{-# LANGUAGE FunctionalDependencies    #-}
+{-# LANGUAGE ViewPatterns    #-}
+{-# LANGUAGE ScopedTypeVariables    #-}
+
+{-# LANGUAGE UndecidableInstances      #-}
+
+{-# LANGUAGE StandaloneDeriving        #-}
+-----------------------------------------------------------------------------
+-- |
+-- Module      :  Plots.Types.Line
+-- Copyright   :  (C) 2016 Christopher Chalmers
+-- License     :  BSD-style (see the file LICENSE)
+-- Maintainer  :  Christopher Chalmers
+-- Stability   :  experimental
+-- Portability :  non-portable
+--
+-- A pie plot is a circular statistical graphic, which is divided into
+-- slices to illustrate numerical proportion.
+--
+-- <<diagrams/src_Plots_Types_Pie_piePlotExample.svg#diagram=piePlotExample&height=350>>
+--
+-- (see 'piePlot' example for code to make this plot)
+--
+----------------------------------------------------------------------------
+
+module Plots.Types.Pie
+  ( -- * Pie plot
+    PieState
+  , piePlot
+  , piePlot'
+  , onWedges
+  , wedgeKeys
+
+    -- * Wedges
+  , Wedge
+  , mkWedge
+  , HasWedge (..)
+  , wedgePlot
+
+  ) where
+
+import           Control.Monad.State.Lazy
+
+import           Data.Typeable
+import qualified Data.Foldable as F
+import qualified Data.List as List
+
+import           Diagrams.Coordinates.Isomorphic
+import           Diagrams.Coordinates.Polar
+import           Diagrams.Prelude hiding (r2)
+
+import           Plots.Style
+import           Plots.Types
+import           Plots.Axis
+
+------------------------------------------------------------------------
+-- Pie wedge
+------------------------------------------------------------------------
+
+-- | Contains information to draw a single wedge of a pie. It is not
+--   intended to be drawn directly. Instead use 'piePlot'.
+data Wedge n = Wedge
+  { sEndR   :: n
+  , sStartR :: n
+  , sOffset :: n
+  , sDir    :: Direction V2 n
+  , sWidth  :: Angle n
+  } deriving Typeable
+
+type instance V (Wedge n)  = V2
+type instance N (Wedge n)  = n
+
+instance RealFloat n => Enveloped (Wedge n) where
+  getEnvelope Wedge {..} = getEnvelope shape # translate off where
+    shape
+      | sStartR == 0 = wedge sEndR sDir sWidth :: Path V2 n
+      | otherwise    = annularWedge sEndR sStartR sDir sWidth
+    off
+      | sOffset == 0 = zero
+      | otherwise    = sOffset *^ fromDir (rotate (sWidth ^/ 2) sDir)
+
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => Plotable (Wedge n) b where
+  renderPlotable s sty Wedge {..} =
+    shape
+      # applyAreaStyle sty
+      # translate off
+      # transform (s^.specTrans)
+    where
+      shape
+        | sStartR == 0 = wedge sEndR sDir sWidth
+        | otherwise    = annularWedge sEndR sStartR sDir sWidth
+      off
+        | sOffset == 0 = zero
+        | otherwise    = sOffset *^ fromDir (rotate (sWidth ^/ 2) sDir)
+
+  defLegendPic sty Wedge {..}
+      = square 5 # applyAreaStyle sty
+
+-- | Create a pie wedge with unit radius, starting at direction @d@ with
+--   width @theta@.
+mkWedge
+  :: Num n
+  => Direction V2 n -- ^ starting direction
+  -> Angle n        -- ^ width of wedge
+  -> Wedge n        -- ^ resulting wedge
+mkWedge d theta = Wedge
+  { sEndR   = 1
+  , sStartR = 0
+  , sOffset = 0
+  , sDir    = d
+  , sWidth  = theta
+  }
+
+class HasWedge f a where
+  -- | Description on how to draw a wedge.
+  pieWedge :: LensLike' f a (Wedge (N a))
+
+  -- | The outside radius of the wedge. Default is @1@.
+  wedgeOuterRadius :: Functor f => LensLike' f a (N a)
+  wedgeOuterRadius = pieWedge . lens sEndR (\p r -> p {sEndR = r})
+
+  -- | The inside radius of the wedge. Default is $0$.
+  wedgeInnerRadius :: Functor f => LensLike' f a (N a)
+  wedgeInnerRadius = pieWedge . lens sStartR (\p r -> p {sStartR = r})
+
+  -- | The offset of the wedge from the center.
+  wedgeOffset :: Functor f => LensLike' f a (N a)
+  wedgeOffset = pieWedge . lens sOffset (\p x -> p {sOffset = x})
+
+  -- | The width of the wedge, starting from the 'wedgeDirection'.
+  wedgeWidth :: Functor f => LensLike' f a (Angle (N a))
+  wedgeWidth = pieWedge . lens sWidth (\p x -> p {sWidth = x})
+
+  -- | The inititial direction of the wedge.
+  wedgeDirection :: Functor f => LensLike' f a (Direction V2 (N a))
+  wedgeDirection = pieWedge . lens sDir (\p x -> p {sDir = x})
+
+instance HasWedge f (Wedge n) where
+  pieWedge = id
+
+instance (Functor f, HasWedge f a) => HasWedge f (Plot a b) where
+  pieWedge = rawPlot . pieWedge
+
+instance Applicative f => HasWedge f (PieState b n a) where
+  pieWedge = stateMods . traversed . _2 . pieWedge
+
+instance (Applicative f, Typeable b, v ~ V2, Typeable n)
+    => HasWedge f (DynamicPlot b v n) where
+  pieWedge = (dynamicPlot :: Traversal' (DynamicPlot b v n) (Plot (Wedge n) b))
+           . pieWedge
+
+instance (v ~ V2, Applicative f, Typeable n)
+    => HasWedge f (StyledPlot b v n) where
+  pieWedge = (styledPlot :: Traversal' (StyledPlot b v n) (Wedge n))
+
+instance (BaseSpace c ~ V2, Settable f, Typeable n)
+    => HasWedge f (Axis b c n) where
+  pieWedge = finalPlots . pieWedge
+
+------------------------------------------------------------------------
+-- Full pie
+------------------------------------------------------------------------
+
+-- | The state used to draw a part chart made of multiple pie wedges.
+data PieState b n a = PieState
+  { psMods  :: [(a, Plot (Wedge n) b)] -- non-empty list
+  }
+
+type instance V (PieState b n a) = V2
+type instance N (PieState b n a) = n
+
+-- internal lens
+stateMods :: Lens' (PieState b n a) [(a, Plot (Wedge n) b)]
+stateMods = lens psMods (\ps ms -> ps {psMods = ms})
+
+-- -- | The direction for the first entry in the pie. Default is 'xDir'.
+-- startingDirection :: Lens' (PieState b n a) (Direction V2 n)
+-- startingDirection = lens psStart (\ps d -> ps {psStart = d})
+
+-- -- | The ending direction of the final wedge. This can be used to make a
+-- finalDirection ::
+
+-- | Modify the state for each wedge given the data entry.
+--
+--   Some common lenses to use on the 'Wedge':
+--
+--       * 'plotColour' - change the colour of the bars
+--
+--       * 'areaStyle' - modify the style of the bars
+--
+--       * 'key' - add a legend entry for that group of bars
+--
+--       * 'wedgeOffset' - the offset of the wedge from the center
+--
+onWedges :: (a -> State (Plot (Wedge n) b) ()) -> State (PieState b n a) ()
+onWedges f = stateMods %= map (\(a, p) -> (a, execState (f a) p))
+
+-- | Add a legend entry for each item given a function that extracts the
+--   item's name.
+wedgeKeys :: Num n => (a -> String) -> State (PieState b n a) ()
+wedgeKeys f = onWedges $ \a -> key (f a)
+
+-- | Make a pie plot from a list of data by making a series of wedge
+--   plots.
+--
+-- === __Example__
+--
+-- <<diagrams/src_Plots_Types_Pie_piePlotExample.svg#diagram=piePlotExample&height=350>>
+--
+-- > import Plots
+-- >
+-- > pieData = [("red", 3), ("blue", 4), ("green", 2), ("purple", 5)]
+-- >
+-- > piePlotAxis :: Axis B Polar Double
+-- > piePlotAxis = polarAxis &~ do
+-- >   piePlot pieData snd $ wedgeKeys fst
+-- >   hide (axes . traversed)
+--
+-- > piePlotExample = renderAxis piePlotAxis
+piePlot
+  :: (MonadState (Axis b Polar n) m,
+      Plotable (Wedge n) b,
+      F.Foldable f)
+  => f a    -- ^ data for each wedge
+  -> (a -> n) -- ^ extract weight of each wedge
+  -> State (PieState b n a) ()
+  -> m ()
+piePlot (F.toList -> as) f st = F.forM_ ps addPlot
+  where
+    -- calculate pie widths
+    ns = map f as
+    x  = F.sum ns
+    wedges = snd $ List.mapAccumR wedgeAccum xDir as
+    wedgeAccum d a = (d', wdg)
+      where theta = (f a / x) @@ turn
+            d'    = d # rotate theta
+            wdg   = mkWedge d theta
+
+    -- run pie state
+    ps  = map snd . psMods $ execState st ps0
+    ps0 = PieState { psMods = zip as (map mkPlot wedges) }
+
+-- | Make a pie plot from list of values without any changes.
+--
+-- === __Example__
+--
+-- <<diagrams/src_Plots_Types_Pie_pieExample'.svg#diagram=pieExample'&height=350>>
+--
+-- > import Plots
+-- >
+-- > piePlotAxis' :: Axis B Polar Double
+-- > piePlotAxis' = polarAxis &~ do
+-- >   piePlot' [1,3,5,2]
+-- >   wedgeInnerRadius .= 0.5
+-- >   hide (axes . traversed)
+--
+-- > pieExample' = renderAxis piePlotAxis'
+piePlot'
+  :: (MonadState (Axis b Polar n) m,
+      Plotable (Wedge n) b,
+      F.Foldable f)
+  => f n    -- ^ weight of each wedge
+  -> m ()
+piePlot' ns = piePlot ns id (return ())
+
+------------------------------------------------------------------------
+-- Wedge
+------------------------------------------------------------------------
+
+-- $ pieplot
+-- Pie plots display data as wedges and annular wedges.
+-- Pie plots have the following lenses:
+--
+-- @
+-- * 'strokeArc' :: 'Lens'' ('BoxPlot' v n) 'Bool' - False
+-- @
+
+-- | Add a single 'PiePlot' to the 'AxisState' from a data set.
+--
+-- === __Example__
+--
+-- <<diagrams/src_Plots_Types_Pie_wedgeExample.svg#diagram=wedgeExample&height=350>>
+--
+-- > import Plots
+-- >
+-- > wedgePlotAxis :: Axis B Polar Double
+-- > wedgePlotAxis = polarAxis &~ do
+-- >   wedgePlot xDir (38@@deg) $ key "wedge"
+--
+-- > wedgeExample = renderAxis wedgePlotAxis
+wedgePlot
+  :: (v ~ BaseSpace c, v ~ V2,
+      PointLike v n (Polar n),
+      MonadState (Axis b c n) m,
+      Plotable (Wedge n) b
+      )
+  => Direction V2 n -> Angle n -> State (Plot (Wedge n) b) () -> m ()
+wedgePlot r theta = addPlotable (mkWedge r theta)
+
diff --git a/src/Plots/Types/Scatter.hs b/src/Plots/Types/Scatter.hs
--- a/src/Plots/Types/Scatter.hs
+++ b/src/Plots/Types/Scatter.hs
@@ -80,8 +80,6 @@
 import           Plots.Style
 import           Plots.Types
 
-import Diagrams.Types (mkQD, Prim (..))
-
 -- config
 -- > import Plots
 
@@ -91,30 +89,31 @@
 
 -- | A general data type for scatter plots. Allows storing different
 --   types of data as well as allowing transforms depending on the data.
-data ScatterPlot v where
-  ScatterPlot :: Typeable a => ScatterOptions v a -> ScatterPlot v
+data ScatterPlot v n where
+  ScatterPlot :: Typeable a => ScatterOptions v n a -> ScatterPlot v n
   deriving Typeable
 
-type instance V (ScatterPlot v) = v
-type instance N (ScatterPlot v) = Double
+type instance V (ScatterPlot v n) = v
+type instance N (ScatterPlot v n) = n
 
 -- | A general data type for scatter plots. Allows storing different
 --   types of data as well as allowing transforms depending on the data.
-data ScatterOptions v a = ScatterOptions
+data ScatterOptions v n a = ScatterOptions
   { oData :: [a]
-  , oPos  :: a -> Point v Double
-  , oTr   :: a -> Transformation v Double
-  , oSty  :: a -> Style v Double
+  , oPos  :: a -> Point v n
+  , oTr   :: a -> Transformation v n
+  , oSty  :: a -> Style v n
   , oLine :: Bool
   } deriving Typeable
 
-type instance V (ScatterOptions v a) = v
-type instance N (ScatterOptions v a) = Double
+type instance V (ScatterOptions v n a) = v
+type instance N (ScatterOptions v n a) = n
 
-instance Metric v => Enveloped (ScatterPlot v) where
+instance (Metric v, OrderedField n) => Enveloped (ScatterPlot v n) where
   getEnvelope (ScatterPlot (ScatterOptions {..})) = getEnvelope (map oPos oData)
 
-instance Plotable (ScatterPlot V2) where
+instance (TypeableFloat n, Renderable (Path V2 n) b)
+    => Plotable (ScatterPlot V2 n) b where
   renderPlotable s sty (ScatterPlot (ScatterOptions {..})) =
     markers <> line
     where
@@ -134,44 +133,21 @@
     sty ^. plotMarker
       & applyMarkerStyle sty
 
-strokeV3 :: Path V3 Double -> Diagram V3
-strokeV3 path = mkQD (Prim path) (getEnvelope path) mempty mempty
-
-instance Plotable (ScatterPlot V3) where
-  renderPlotable s sty (ScatterPlot (ScatterOptions {..})) =
-    markers <> line
-    where
-      markers = F.foldMap mk oData # applyMarkerStyle sty
-      --
-      mk a = marker # transform (oTr a)
-                    # applyStyle (oSty a)
-                    # moveTo (specPoint s $ oPos a)
-      marker = sty ^. plotMarker
-      --
-      line
-        | not oLine = mempty
-        | otherwise = strokeV3 (fromVertices points) # applyLineStyle sty
-      points = map (specPoint s . oPos) oData
-
-  defLegendPic sty (ScatterPlot (ScatterOptions {..})) =
-    sty ^. plotMarker
-      & applyMarkerStyle sty
-
 ------------------------------------------------------------------------
 -- Generating scatter options
 ------------------------------------------------------------------------
 
 -- | Low level construction of 'ScatterOptions'.
 mkScatterOptions
-  :: (PointLike v Double p, F.Foldable f)
+  :: (PointLike v n p, F.Foldable f, Fractional n)
   => f a
   -> (a -> p)
-  -> ScatterOptions v a
+  -> ScatterOptions v n a
 mkScatterOptions xs pf = ScatterOptions
   { oData = F.toList xs
   , oPos  = view unpointLike . pf
   , oTr   = mempty
-  , oSty  = const mempty
+  , oSty  = const (_Wrapped ## mempty)
   , oLine = False
   }
 
@@ -187,100 +163,100 @@
   --   'lineStyle' from the 'PlotStyle'.
   connectingLine :: Functor f => LensLike' f a Bool
 
-instance HasConnectingLine f (ScatterOptions v a) where
+instance HasConnectingLine f (ScatterOptions v n a) where
   connectingLine = lens oLine (\o b -> o {oLine = b})
 
-instance HasConnectingLine f (ScatterPlot v) where
+instance HasConnectingLine f (ScatterPlot v n) where
   connectingLine f (ScatterPlot o@(ScatterOptions {..}))
     = f oLine <&> \b -> ScatterPlot o {oLine = b}
 
-instance HasConnectingLine f p => HasConnectingLine f (Plot p) where
+instance HasConnectingLine f p => HasConnectingLine f (Plot p b) where
   connectingLine = rawPlot . connectingLine
 
-instance (Applicative f, Typeable v)
-    => HasConnectingLine f (DynamicPlot v) where
-  connectingLine = (dynamicPlot :: Traversal' (DynamicPlot v) (Plot (ScatterPlot v)))
+instance (Applicative f, Typeable b, Typeable v, Typeable n)
+    => HasConnectingLine f (DynamicPlot b v n) where
+  connectingLine = (dynamicPlot :: Traversal' (DynamicPlot b v n) (Plot (ScatterPlot v n) b))
                  . connectingLine
 
-instance (Applicative f, Typeable v)
-    => HasConnectingLine f (StyledPlot v) where
-  connectingLine = (styledPlot :: Traversal' (StyledPlot v) (ScatterPlot v))
+instance (Applicative f, Typeable v, Typeable n)
+    => HasConnectingLine f (StyledPlot b v n) where
+  connectingLine = (styledPlot :: Traversal' (StyledPlot b v n) (ScatterPlot v n))
                  . connectingLine
 
-instance (Settable f, Typeable (BaseSpace c))
-    => HasConnectingLine f (Axis c) where
+instance (Settable f, Typeable (BaseSpace c), Typeable n)
+    => HasConnectingLine f (Axis b c n) where
   connectingLine = finalPlots . connectingLine
 
 -- Options -------------------------------------------------------------
 
 class HasScatterOptions f a d where
   -- | Lens onto the 'ScatterOptions' for a general scatter plot.
-  gscatterOptions :: LensLike' f a (ScatterOptions (V a) d)
+  gscatterOptions :: LensLike' f a (ScatterOptions (V a) (N a) d)
 
   -- | Apply a transform to the markers using the associated data.
-  scatterTransform :: Functor f => LensLike' f a (d -> Transformation (V a) Double)
+  scatterTransform :: Functor f => LensLike' f a (d -> Transformation (V a) (N a))
   scatterTransform = gscatterOptions . lens oTr (\o tr -> o {oTr = tr})
 
   -- | Apply a style to the markers using the associated data.
-  scatterStyle :: Functor f => LensLike' f a (d -> Style (V a) Double)
+  scatterStyle :: Functor f => LensLike' f a (d -> Style (V a) (N a))
   scatterStyle = gscatterOptions . lens oSty (\o sty -> o {oSty = sty})
 
   -- | Change the position of the markers depending on the data.
-  scatterPosition :: Functor f => LensLike' f a (d -> Point (V a) Double)
+  scatterPosition :: Functor f => LensLike' f a (d -> Point (V a) (N a))
   scatterPosition = gscatterOptions . lens oPos (\o pos -> o {oPos = pos})
 
-instance d ~ d' => HasScatterOptions f (ScatterOptions v d) d' where
+instance d ~ d' => HasScatterOptions f (ScatterOptions v n d) d' where
   gscatterOptions = id
 
-instance (Applicative f, Typeable v, Typeable d)
-    => HasScatterOptions f (ScatterPlot v) d where
+instance (Applicative f, Typeable v, Typeable n, Typeable d)
+    => HasScatterOptions f (ScatterPlot v n) d where
   gscatterOptions f s@(ScatterPlot p) =
     case eq p of
       Just Refl -> ScatterPlot <$> f p
       Nothing   -> pure s
     where
-      eq :: Typeable a => a -> Maybe (a :~: ScatterOptions v d)
+      eq :: Typeable a => a -> Maybe (a :~: ScatterOptions v n d)
       eq _ = eqT
 
-instance (Functor f, HasScatterOptions f p a) => HasScatterOptions f (Plot p) a where
+instance (Functor f, HasScatterOptions f p a) => HasScatterOptions f (Plot p b) a where
   gscatterOptions = rawPlot . gscatterOptions
 
-instance (Applicative f, Typeable v, Typeable a)
-    => HasScatterOptions f (DynamicPlot v) a where
+instance (Applicative f, Typeable b, Typeable v, Typeable n, Typeable a)
+    => HasScatterOptions f (DynamicPlot b v n) a where
   gscatterOptions = dynamicPlot . rawPlot
 
-instance (Applicative f, Typeable (BaseSpace c), Typeable a)
-    => HasScatterOptions f (Axis c) a where
+instance (Applicative f, Typeable b, Typeable (BaseSpace c), Typeable n, Typeable a)
+    => HasScatterOptions f (Axis b c n) a where
   gscatterOptions = axisPlots . traverse . gscatterOptions
 
 
 -- Pure scatter lenses -------------------------------------------------
 
 -- | Lens onto a scatter plot of points.
-scatterOptions :: (InSpace v Double a, HasScatterOptions f a (Point v Double))
-               => LensLike' f a (ScatterOptions v (Point v Double))
+scatterOptions :: (InSpace v n a, HasScatterOptions f a (Point v n))
+               => LensLike' f a (ScatterOptions v n (Point v n))
 scatterOptions = gscatterOptions
 
 -- -- | Lens onto a transform of a scatter plot of points. This is a
 -- --   specialised version of 'scatterTransform' for better type
 -- --   inference.
 -- _scatterTransform
---   :: (InSpace v a, PointLike v p, Functor f, HasScatterOptions f a (Point v))
---   => LensLike' f a (p -> Transformation v)
+--   :: (InSpace v n a, PointLike v n p, Functor f, HasScatterOptions f a (Point v n))
+--   => LensLike' f a (p -> Transformation v n)
 -- _scatterTransform = scatterTransform . lmapping unpointLike
 
 -- -- | Lens onto a transform of a scatter plot of points. This is a
 -- --   specialised version of 'scatterPosition' for better type inference.
 -- _scatterPosition
---   :: (InSpace v a, PointLike v p, Functor f, HasScatterOptions f a (Point v))
+--   :: (InSpace v n a, PointLike v n p, Functor f, HasScatterOptions f a (Point v n))
 --   => LensLike' f a (p -> p)
 -- _scatterPosition = scatterPos . dimapping unpointLike pointLike
 
 -- -- | Lens onto a style function of a scatter plot of points. This is a
 -- --   specialised version of 'scatterStyle' for better type inference.
 -- _scatterStyle
---   :: (InSpace v a, PointLike v p, Functor f, HasScatterOptions f a (Point v))
---   => LensLike' f a (p -> Style v)
+--   :: (InSpace v n a, PointLike v n p, Functor f, HasScatterOptions f a (Point v n))
+--   => LensLike' f a (p -> Style v n)
 -- _scatterStyle = scatterStyle . lmapping unpointLike
 
 ------------------------------------------------------------------------
@@ -299,9 +275,9 @@
 -- | Add a 'ScatterPlot' to the 'AxisState' from a data set.
 --
 -- @
--- 'scatterPlot' :: [('Double', 'Double')] -> 'State' ('Plot' ('ScatterOptions' 'V2' ('P2' 'Double')) b) () -> 'State' ('Axis' 'V2') ()
--- 'scatterPlot' :: ['V2' 'Double']        -> 'State' ('Plot' ('ScatterOptions' 'V2' ('P2' 'Double')) b) () -> 'State' ('Axis' 'V2') ()
--- 'scatterPlot' :: ['P2' 'Double']        -> 'State' ('Plot' ('ScatterOptions' 'V2' ('P2' 'Double')) b) () -> 'State' ('Axis' 'V2') ()
+-- 'scatterPlot' :: [('Double', 'Double')] -> 'State' ('Plot' ('ScatterOptions' 'V2' 'Double' ('P2' 'Double')) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
+-- 'scatterPlot' :: ['V2' 'Double']        -> 'State' ('Plot' ('ScatterOptions' 'V2' 'Double' ('P2' 'Double')) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
+-- 'scatterPlot' :: ['P2' 'Double']        -> 'State' ('Plot' ('ScatterOptions' 'V2' 'Double' ('P2' 'Double')) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
 -- @
 --
 -- === __Example__
@@ -313,7 +289,7 @@
 -- > mydata2 = mydata1 & each . _1 *~ 0.5
 -- > mydata3 = [V2 1.2 2.7, V2 2 5.1, V2 3.2 2.6, V2 3.5 5]
 --
--- > scatterAxis :: Axis V2
+-- > scatterAxis :: Axis B V2 Double
 -- > scatterAxis = r2Axis &~ do
 -- >   scatterPlot mydata1 $ key "data 1"
 -- >   scatterPlot mydata2 $ key "data 2"
@@ -322,12 +298,13 @@
 -- > scatterExample = renderAxis scatterAxis
 scatterPlot
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v),
+      PointLike v n p,
+      Typeable n,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
       F.Foldable f)
   => f p  -- ^ points to plot
-  -> State (Plot (ScatterOptions v (Point v Double))) ()
+  -> State (Plot (ScatterOptions v n (Point v n)) b) ()
           -- ^ changes to plot options
   -> m () -- ^ add plot to 'Axis'
 scatterPlot xs = gscatterPlot (xs ^.. folded . unpointLike) id
@@ -359,9 +336,10 @@
 -- > scatterExample' = renderAxis scatterAxis'
 scatterPlot'
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v),
+      PointLike v n p,
+      Typeable n,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
       F.Foldable f)
   => f p  -- ^ points to plot
   -> m () -- ^ add plot to 'Axis'
@@ -370,12 +348,13 @@
 -- | Version of 'scatterPlot' that accepts a 'Fold' over the data.
 scatterPlotOf
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      Plotable (ScatterPlot v),
-      MonadState (Axis c) m)
+      PointLike v n p,
+      Typeable n,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b)
   => Fold s p -- ^ fold over points
   -> s        -- ^ data to fold
-  -> State (Plot (ScatterOptions v (Point v Double))) () -- ^ changes to plot options
+  -> State (Plot (ScatterOptions v n (Point v n)) b) () -- ^ changes to plot options
   -> m () -- ^ add plot to 'Axis'
 scatterPlotOf f s = scatterPlot (toListOf f s)
 
@@ -383,9 +362,10 @@
 --   without any changes to the 'ScatterOptions'.
 scatterPlotOf'
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v))
+      PointLike v n p,
+      Typeable n,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b)
   => Fold s p -- ^ fold over points
   -> s -- ^ data to fold
   -> m () -- ^ add plot to axis
@@ -396,15 +376,15 @@
 ------------------------------------------------------------------------
 
 -- | A bubble plot is a scatter plot using point together with a scalar.
-type BubbleOptions v = ScatterOptions v (Double, Point v Double)
+type BubbleOptions v n = ScatterOptions v n (n, Point v n)
 
 -- | Scatter plots with extra numeric parameter. By default the extra
 --   parameter is the scale of the marker but this can be changed.
 --
 -- @
--- 'bubblePlot' :: [('Double', ('Double', 'Double'))] -> 'State' ('Plot' ('BubbleOptions' v) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
--- 'bubblePlot' :: [('Double', 'V2' 'Double')]        -> 'State' ('Plot' ('BubbleOptions' v) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
--- 'bubblePlot' :: [('Double', 'P2' 'Double')]        -> 'State' ('Plot' ('BubbleOptions' v) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
+-- 'bubblePlot' :: [('Double', ('Double', 'Double'))] -> 'State' ('Plot' ('BubbleOptions' v n) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
+-- 'bubblePlot' :: [('Double', 'V2' 'Double')]        -> 'State' ('Plot' ('BubbleOptions' v n) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
+-- 'bubblePlot' :: [('Double', 'P2' 'Double')]        -> 'State' ('Plot' ('BubbleOptions' v n) b) () -> 'State' ('Axis' b 'V2' 'Double') ()
 -- @
 --
 -- === __Example__
@@ -426,12 +406,13 @@
 -- > bubbleExample = renderAxis bubbleAxis
 bubblePlot
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v),
+      PointLike v n p,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
+      Typeable n,
       F.Foldable f)
-  => f (Double, p) -- ^ fold over points with a size
-  -> State (Plot (BubbleOptions v)) () -- ^ changes to the options
+  => f (n, p) -- ^ fold over points with a size
+  -> State (Plot (BubbleOptions v n) b) () -- ^ changes to the options
   -> m () -- ^ add plot to 'Axis'
 bubblePlot xs s =
   gscatterPlot (xs ^.. folded . mapping unpointLike) snd $ do
@@ -447,23 +428,25 @@
 --
 bubblePlot'
   :: (v ~ BaseSpace c,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v),
+      PointLike v n p,
+      Typeable n,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
       F.Foldable f)
-  => f (Double, p) -- ^ fold over points with a size
+  => f (n, p) -- ^ fold over points with a size
   -> m () -- ^ add plot to 'Axis'
 bubblePlot' xs = bubblePlot xs (return ())
 
 -- | Version of 'bubblePlot' using a 'Fold' over the data.
 bubblePlotOf
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      Plotable (ScatterPlot v),
-      MonadState (Axis c) m)
-  => Fold s (Double,p) -- ^ fold over the data
+      PointLike v n p,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
+      Typeable n)
+  => Fold s (n,p) -- ^ fold over the data
   -> s            -- ^ data
-  -> State (Plot (BubbleOptions v)) ()
+  -> State (Plot (BubbleOptions v n) b) ()
                   -- ^ changes to the options
   -> m ()         -- ^ add plot to 'Axis'
 bubblePlotOf f s = bubblePlot (toListOf f s)
@@ -472,12 +455,13 @@
 --   changes to the 'BubbleOptions'.
 bubblePlotOf'
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
-      Plotable (ScatterPlot v))
-  => Fold s (Double,p) -- ^ fold over the data
+      PointLike v n p,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
+      Typeable n)
+  => Fold s (n,p) -- ^ fold over the data
   -> s            -- ^ data
-  -> State (Plot (BubbleOptions v)) ()
+  -> State (Plot (BubbleOptions v n) b) ()
                   -- ^ changes to the options
   -> m ()         -- ^ add plot to 'Axis'
 bubblePlotOf' f s = bubblePlot (toListOf f s)
@@ -485,43 +469,43 @@
 -- Bubble scatter lenses -----------------------------------------------
 
 -- | LensLike onto into a 'ScatterOptions' made up of a scaler @n@, and
---   a point, @'Point' v@
+--   a point, @'Point' v n@
 --
 -- @
--- 'bubbleOptions' :: 'Lens'' ('Plot' ('BubbleOptions' v) v) ('BubbleOptions' v)
+-- 'bubbleOptions' :: 'Lens'' ('Plot' ('BubbleOptions' v n) v) ('BubbleOptions' v n)
 -- @
-bubbleOptions :: (InSpace v Double a, HasScatterOptions f a (Double, Point v Double))
-              => LensLike' f a (BubbleOptions v)
+bubbleOptions :: (InSpace v n a, HasScatterOptions f a (n, Point v n))
+              => LensLike' f a (BubbleOptions v n)
 bubbleOptions = gscatterOptions
 
 -- | Setter over the transform function for a 'bubblePlot'. Default is 'scale'.
 --
 -- @
--- 'bubbleOptions' :: 'Setter'' ('Plot' ('BubbleOptions' v) v) (n -> 'Transformation' v)
+-- 'bubbleOptions' :: 'Setter'' ('Plot' ('BubbleOptions' v n) v) (n -> 'Transformation' v n)
 -- @
 --
 --   Note that this is the less general version of @'bubblePlot' .
 --   'scatterTransform'@, which would give a 'LensLike' onto @(n,
---   'Point' v) -> 'Transformation' v@.
+--   'Point' v n) -> 'Transformation' v n@.
 --
 bubbleTransform
-  :: (InSpace v Double a, HasScatterOptions f a (Double, Point v Double), Settable f)
-  => LensLike' f a (Double -> Transformation v Double)
+  :: (InSpace v n a, HasScatterOptions f a (n, Point v n), Settable f)
+  => LensLike' f a (n -> Transformation v n)
 bubbleTransform = bubbleOptions . scatterTransform . sets nOnly
   where nOnly f g (n,p) = f (\n' -> g (n', p)) n
 
 -- | Setter over the style function for a 'bubblePlot'. Default is 'mempty'.
 --
 -- @
--- 'bubbleStyle' :: 'Setter'' ('Plot' ('BubbleOptions' v) v) (n -> 'Style' v)
+-- 'bubbleStyle' :: 'Setter'' ('Plot' ('BubbleOptions' v n) v) (n -> 'Style' v n)
 -- @
 --
 --   Note that this is the less general version of @'bubblePlot' .
 --   'scatterTransform'@, which would give a 'LensLike' onto @(n,
---   'Point' v) -> 'Style' v@.
+--   'Point' v n) -> 'Style' v n@.
 --
-bubbleStyle :: (InSpace v Double a, Settable f, HasScatterOptions f a (Double, Point v Double))
-             => LensLike' f a (Double -> Style v Double)
+bubbleStyle :: (InSpace v n a, Settable f, HasScatterOptions f a (n, Point v n))
+             => LensLike' f a (n -> Style v n)
 bubbleStyle = bubbleOptions . scatterStyle . sets nOnly
   where nOnly f g (n,p) = f (\n' -> g (n', p)) n
 
@@ -533,14 +517,14 @@
 --   the 'scatterTransform' and 'scatterStyle'.
 gscatterPlot
   :: (BaseSpace c ~ v,
-      PointLike v Double p,
-      MonadState (Axis c) m,
+      PointLike v n p,
+      MonadState (Axis b c n) m,
+      Plotable (ScatterPlot v n) b,
       Typeable d,
-      Plotable (ScatterPlot v),
       F.Foldable f)
   => f d -- ^ data
   -> (d -> p) -- ^ extract point from data
-  -> State (Plot (ScatterOptions v d)) ()
+  -> State (Plot (ScatterOptions v n d) b) ()
               -- ^ options for plot
   -> m ()     -- ^ add plot to 'Axis'
 gscatterPlot xs pf s = addPlot $ over rawPlot ScatterPlot p1
@@ -551,7 +535,7 @@
 -- | Helper to traverse over a general scatter plot where the type of d
 --   is not infered.
 gscatterOptionsFor
-  :: (InSpace v Double a, HasScatterOptions f a d)
-  => proxy d -> LensLike' f a (ScatterOptions v d)
+  :: (InSpace v n a, HasScatterOptions f a d)
+  => proxy d -> LensLike' f a (ScatterOptions v n d)
 gscatterOptionsFor _ = gscatterOptions
 
