Multilevel Islamic Geometric Design for Local Symmetry in Substitution Tilings
Jennifer E. Padilla

Proceedings of Bridges 2023: Mathematics, Art, Music, Architecture, Culture
Pages 83–90
Regular Papers

Abstract

Substitution tilings feature a recursive generation process, lending themselves to multilevel tile design. Inspired by traditional Islamic geometric multilevel tile design, I present techniques for multilevel design based on augmented substitution rules. Islamic geometric motifs are incorporated as decoration at multiple levels of substitution to build on the recursive structure of the base-level substitution tiling. Local symmetry within two aperiodic substitution tilings is highlighted using variations of this technique.

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