{p,q} tilings in the hyperbolic plane — infinite regular tessellations
The Poincaré disk model of H² maps the entire hyperbolic plane into a unit disk.
Geodesics are circular arcs perpendicular to the boundary. In {p,q} tessellation, p-gons meet q at each vertex.
Any {p,q} with (p−2)(q−2) > 4 tiles the hyperbolic plane — infinitely many tilings, all distinct from Euclidean geometry.
Drag the disk to apply a Möbius transformation and explore different centers.