Using Inflation to Lay a P3 Tiling in Two Dimensions and Three Dimensions
Debora Coombs

Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture
Pages 277–280
Short Papers

Abstract

This paper introduces a pair of crenellated fractal pavers made from an inflation of a Penrose tiling that were discovered exclusively through drawing and making sculpture. Pavers assemble according to local matching rules embedded into their perimeters, and may be used to construct two-dimensional and three-dimensional Penrose tilings by rhombs.

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