Spandrelized Tilings

2024/12/20 by Colin Adams · 1 voice
Computer Science · Biochemistry, Genetics and Molecular Biology · Engineering · #Cellular Automata and Applications #DNA and Biological Computing #Advanced Materials and Mechanics

paper · doi:10.1080/00029890.2024.2438758

Abstract

We discuss a method to generate a new tiling from an edge-to-edge tiling by regular polygons. We place tangent disks at the vertices and then glue the interstitial areas, known as spandrels, onto the disks to create new tiles. We apply this method in the Euclidean plane, the sphere and the hyperbolic plane to obtain a variety of new tilings.

Discussions

• A monohedral tiling of the plane by "spandrelized" squares. Each unit square includes a circular arc of a 1/2-radius circle centered at each vertex. Adams, Colin. "Spandrelized Tilings." Amer. Math. M [bsky, 12 points, 0 comments]

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