An Introduction to the Tiling Properties of Precious Triangles

Year: 2003 Authors: Stanley Spencer

Core claim

Four π/7-based triangle types generate self-similar tilings with the Precious Ratio 1 + 2cos(2π/7), enabling infinite recursive designs.

Topics

recursive tilings, self-similar geometry, heptagon tessellation, design iteration

Domains

triangle geometry, tessellation, similarity ratios, Beraha numbers, geometric pattern design, ad hoc design, visual art, architectural motif

Methods

geometric construction, recursive iteration, simulation, pattern conjecture

Media

Vbasic program, triangular tiles, trapezoid layouts, illustrations

Source status

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