Non-periodic Tiles Based on Ammann Set A2 Tiles

Chirag Mehta
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 425–428 Short Papers


I present here three different non-periodic tile sets TS1, TS2 and TS3. Tile set TS1 is deduced from the Ammann set A2, and is a triangular version of it. TS2 is a variant of tile set TS1, while TS3and TS2 are MLD (Mutually Locally Derivable). These tiles are based on Golden Ratios Ø = 0.618034 and φ =1.618034.