moonlight-triangulation-1.4.0.1: docs/moonlight-triangulation-alpha-eclipse.svg

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<title id="title">Moonlight Triangulation alpha eclipse</title>
<desc id="description">One fixed four-site Delaunay DCEL at three exact alpha sublevels. Its resident boundary creates one hole at squared radius 1, and its resident diagonal and faces kill that hole at squared radius 2.</desc>
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<text x="58" y="58" fill="#84f3ff" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="17" font-weight="600" letter-spacing="6">MOONLIGHT TRIANGULATION</text>
<text x="58" y="101" fill="#f7f3ff" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="38" font-weight="420">ALPHA ECLIPSE</text>
<text x="1382" y="61" text-anchor="end" fill="#9baedb" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="14" letter-spacing="1.5">ONE FIXED DELAUNAY DCEL · EXACT CRITICAL BIRTHS</text>
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<text x="-162" y="-114" fill="#8fa4d6" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="13" letter-spacing="2.4">BEFORE BIRTH</text>
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<text y="5" text-anchor="middle" fill="#fff7da" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="14" letter-spacing="1.2">four isolated sites</text>
<text x="-162" y="121" fill="#fff4cc" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="25">β₁ = 0</text>
<text x="162" y="121" text-anchor="end" fill="#8495c4" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="12">α² = 0</text>
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<text x="-162" y="-114" fill="#ff89cb" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="13" letter-spacing="2.4">LOOP BORN</text>
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<text y="5" text-anchor="middle" fill="#fff7da" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="14" letter-spacing="1.2">resident boundary closes</text>
<text x="-162" y="121" fill="#fff4cc" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="25">β₁ = 1</text>
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<text x="-162" y="-114" fill="#8fa4d6" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="13" letter-spacing="2.4">CYCLE KILLED</text>
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<text y="5" text-anchor="middle" fill="#fff7da" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="14" letter-spacing="1.2">resident faces fill it</text>
<text x="-162" y="121" fill="#fff4cc" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="25">β₁ = 0</text>
<text x="162" y="121" text-anchor="end" fill="#8495c4" font-family="Inter,ui-sans-serif,system-ui,sans-serif" font-size="12">α² = 2</text>
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<text x="58" y="516" fill="#9badd8" font-size="13" letter-spacing="2.5">ONE EXACT H₁ INTERVAL</text>
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<text x="58" y="589" fill="#7588ba" font-size="12">α² = 0</text>
<text x="535" y="589" text-anchor="middle" fill="#f7f3ff" font-size="12">birth α² = 1</text>
<text x="788" y="548" text-anchor="middle" fill="#fff6d6" font-size="14">the eclipse hole persists</text>
<text x="1042" y="589" text-anchor="middle" fill="#f7f3ff" font-size="12">death α² = 2</text>
<text x="1382" y="589" text-anchor="end" fill="#7588ba" font-size="12">exact α² increases →</text>
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