Decorating Regular Polyhedra Using Historical Interlocking Star Polygonal Patterns – A Mathematics and Art Case Study

Year: 2014 Authors: Reza Sarhangi

Core claim

Historical Persian interlocking star-pattern methods can be systematically adapted to embellish regular polyhedra and some other convex and non-convex solids.

Topics

polyhedron decoration, interlocking star polygons, Persian girih patterns, geometric construction

Domains

polyhedra, Schläfli symbols, star polygons, golden ratio, Islamic geometric design, pattern making, ornamentation, mathematical art

Methods

k star polygon method, radial grid method, girih tile modularity, step-by-step construction

Media

paper, historical scrolls, girih tiles, polyhedral models

Source status

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