Non-periodic Tiles Based on Ammann Set A2 Tiles
Chirag Mehta: Non-periodic Tiles Based on Ammann Set A2 Tiles. In: Bridges 2014. Pages 425–428
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.
 Penrose tiling, http://math.uchicago.edu/~mann/penrose.pdf (as of March 16, 2014)
 Ammann R., Grünbaum B., Shephard G. C., Aperiodic tiles, Discrete & Computational Geometry, 8:1 (1992), 1-25.
 Baake M. et al., Quasiperiodic tiling with tenfold symmetry and equivalence with respect to local derivability, J. Phys. A: Math. Gen. 24, 4637 (1991).