Ammann A4

Discovered by

Info

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

Patch Ammann A4

References

[GS87]
Gr├╝nbaum, B and Shephard, G.C.
Tilings and Patterns
W.H. Freeman 1987, MR0857454