Hyperbolic Truchet Tilings

Year: 2011 Authors: Douglas Dunham

Core claim

Truchet tilings can be consistently generalized to hyperbolic regular tessellations, including divided squares, arcs, and related motifs.

Topics

hyperbolic tessellations, Truchet tilings, pattern generation, regular polygon grids

Domains

hyperbolic geometry, regular tessellations, Poincaré disk model, combinatorics, tiling design, pattern art, visual abstraction, geometric ornament

Methods

tessellation extension, tile rotation and translation, pattern construction, visual comparison

Media

divided square tiles, circular arc motifs, black and white triangles, Poincaré disk diagrams

Source status

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