Ammann A4
- Canonical Substitution Tiling
- Finite Rotations
- MLD Class Ammann
- Parallelogram Tiles
- Polytopal Windowed Tiling
- Self-Similar Substitution
- With Decoration
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
Patch
References
[GS87]
Grünbaum, B and Shephard, G.C.
Tilings and Patterns
W.H. Freeman
1987,
MR0857454