Generating Families of Islamic Star Rosette Patterns Based on k-Uniform Tilings

Year: 2022 Authors: Sarah Gelsinger Brewer; Marlan Zha; Sophia Neno

Core claim

A k-uniform tiling-based univalent circle packing can generate flexible Islamic star rosette patterns with continuous angle variation while preserving traditional construction rules.

Topics

Islamic star rosettes, circle packing, k-uniform tilings, pattern generation

Domains

Euclidean geometry, tilings, graph theory, star polygons, Islamic art, architectural ornament, geometric pattern design

Methods

compass and straightedge construction, circle packing algorithm, reflection across bisectors, tiling-based generation

Media

circles, polygons, GeoGebra, construction lines

Source status

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