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🔮 Hyperbolic Geometry Tiling

Regular {p,q} tilings of the hyperbolic plane by reflection groups: Poincare disk, Klein disk and upper half-plane, geodesics, Mobius navigation, Gauss-Bonnet measurements and numerical checks.

Mathematics3DAdvanced60 FPS📱 Mobile-adapted⇄ 2D version

⚙ Under the hood

Tessellate the Poincaré disk model of hyperbolic plane with {p,q} regular tilings. Möbius transformations map tiles. All tiles have equal hyperbolic area despite looking smaller near the boundary.

hyperbolic geometryPoincaré disktessellationMöbius transformationnon-Euclidean

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install