Reflected Motifs in Quasiperiodic Escher-Penrose Tilings
Uli Gaenshirt and Amrita Acharyya

Proceedings of Bridges 2025: Mathematics and the Arts
Pages 109–116
Regular Papers

Abstract

Quasiperiodicity is a slightly weaker form of periodicity and enables the design of tilings with an approximate structural fivefold rotational symmetry. Inspired by the periodic, plane-filling tilings of Maurits Cornelis Escher (1898—1972), one of us (Uli) created figurative interpretations of the quasiperiodic Penrose tilings, which were developed from 1973 onwards. As in Escher’s work, the Penrose tiles are artistically shaped and joined together. Due to a special design of the edge structure, the mostly figurative tiles also appear as their mirror images.

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