Hyperbolic Tiles

Lumen & Logic

A regular {p,q} tessellation of the hyperbolic plane in the Poincaré disk — the geometry of Escher's Circle Limit prints. A central regular p-gon with q meeting at each vertex ((p−2)(q−2) > 4) is reflected across its edges by circle inversion; every edge is a geodesic arc orthogonal to the boundary circle. All tiles are congruent in the hyperbolic metric, yet shrink exponentially toward a rim they never reach — infinity compressed into a disk, coloured by generation depth, sector or parity.

Medium

Generative algorithm, archival pigment print

Dimensions

90 × 90 cm