Reflected Motifs in Quasiperiodic Escher-Penrose Tilings

Year: 2025 Authors: Uli Gaenshirt; Amrita Acharyya

Core claim

Specially designed Penrose and HB tile edges can control matching rules so figurative motifs appear reflected in quasiperiodic tilings.

Topics

quasiperiodic tilings, mirror-image motifs, Penrose rhombs, matching rules, Escher-inspired design

Domains

tiling theory, crystallographic symmetry, Fibonacci chain, golden ratio, mathematical art, figurative pattern design, graphic art, sculptural tiling

Methods

global substitution, local matching rules, Ammann grid construction, edge modification

Media

Penrose rhombs, HB tiles, colored motifs, curved edges

Source status

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