A meditation on Kepler’s Aa

Year: 2006 Authors: Craig S. Kaplan

Core claim

Kepler’s Aa belongs to a larger derivational sequence of 36° rhomb tilings that can generate periodic, non-periodic, and decorative star-pattern constructions.

Topics

Kepler’s Aa, 36° rhomb tilings, substitution systems, spiral tilings, Islamic star patterns

Domains

tiling theory, plane symmetry, substitution tilings, aperiodic tilings, pentagonal symmetry, geometric ornament, Islamic star patterns, decorative pattern design

Methods

tiling derivation, vertex substitution, spiral arrangement, pattern superposition, polygonal template design

Media

regular pentagons, 36° rhombs, decagons, pentacles, rendered figures

Source status

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