Generating Families of Islamic Star Rosette Patterns Based on k-Uniform Tilings
Sarah Gelsinger Brewer, Marlan Zha, and Sophia Neno

Proceedings of Bridges 2022: Mathematics, Art, Music, Architecture, Culture
Pages 391–394
Short Papers

Abstract

Islamic star rosette patterns of a variety of symmetries are built on polygons and tangent circles in their underlying Euclidean compass and straightedge constructions. We present an algorithm for building families of star rosette patterns by situating the star polygons of these patterns inside the circles of a univalent packing whose intersection graph is any k-uniform tiling, and allowing for continuous variation of star polygon angle at points of tangency.

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