Ammann A4

Discovered by


One of the tilings discovered R. Ammann in 1977, when he found several sets of aperiodic prototiles, i.e., prototiles with matching rules forcing nonperiodic tilings. These were published much later, in 1987, in [GS87] , where they were named Ammann A2 (our Ammann Chair), Ammann A3, Ammann A4, and Ammann A5 (better known as Ammann Beenker). The A4 tilings are mld to the well-known Ammann Beenker tilings. Thus they share most properties with the latter. For more information, see Ammann-Beenker.

Substitution Rule

Rule Ammann A4


Patch Ammann A4


Gr├╝nbaum, B and Shephard, G.C.
Tilings and Patterns
W.H. Freeman 1987, MR0857454