Non-periodic Tiles Based on Ammann Set A2 Tiles

Year: 2014 Authors: Chirag Mehta

Core claim

Triangular adaptations of Ammann set A2 produce non-periodic tile sets TS1, TS2, and TS3 with self-similar supertiles and MLD relationships.

Topics

non-periodic tilings, Ammann set A2, mutual local derivability, golden ratio, Fibonacci sequence

Domains

tiling theory, aperiodic geometry, self-similarity, golden ratio, Fibonacci recursion, mathematical art, geometric design, pattern generation

Methods

tile derivation, supertile construction, geometric modification, local derivability analysis

Media

triangular tiles, square-based prototiles, mirror tiles, diagrammatic figures

Source status

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