Poincaré Disk — Hyperbolic Geometry
Click to place points · geodesics are circular arcs orthogonal to boundary
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Tiling type:
No tiling
Heptagonal {7,3}
Square {4,5}
{3,6} triangles
Grid density:
3
Show geodesics:
0
pts
Hyperbolic distance
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Triangle angle sum
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Defect (π − sum)
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Clear Points
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Poincaré disk:
Geodesics = arcs of circles orthogonal to ∂D.
Metric: ds² = 4(dx²+dy²)/(1−r²)²
Curvature K = −1. Infinitely many parallels through a point to a line. Triangle angle sum < π — defect = area.