Quasiperiodic Tilings with 12-Fold Rotational Symmetry Made of Squares, Equilateral Triangles, and Rhombi

Year: 2021 Authors: Peter Stampfli; Theo P. Schaad

Core claim

For inflation factors of the form k + m√3, the number of triangles in the substitution rules is determined by the inflation factor, enabling systematic discovery of many dodecagonal tilings.

Topics

quasiperiodic tilings, 12-fold rotational symmetry, substitution method, inflation factors, dodecagonal rosette

Domains

tiling theory, symmetry groups, geometric substitution, area calculations, ornamental design, pattern generation, decorative tilings, geometric art

Methods

substitution method, systematic search, symmetry constraints, subdivision

Media

squares, equilateral triangles, rhombi, plastic pattern blocks

Source status

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