Images of the Ammann-Beenker Tiling

Edmund Harriss
Bridges Donostia: Mathematics, Music, Art, Architecture, Culture (2007)
Pages 377–378


The Ammann-Beenker tiling is the eight-fold sibling of the more famous, five-fold Penrose rhomb tiling. It was discovered independently by R. Ammann [AGS92] and F. Beenker [Bee82]. It shares many properties with the Penrose tiling. In particular it shares two particular constructions. The first by a substitution rule[1], and the second as a slice of a higher dimensional lattice. Also it shares the important property with the Penrose that it is a strikingly beautiful tiling.