geometry, an Ammann–Beenker tiling is a nonperiodic tiling which can be generated either by an aperiodic set of prototiles as done by Robert Ammann in the 1970s...
12 KB (1,504 words) - 13:56, 8 March 2024
octagonal variant for the Ammann–Beenker tiling. Ammann's name became that of the perennial second. It is acknowledged however that Ammann first proposed the...
5 KB (645 words) - 13:54, 8 March 2024
polygon, and the only tiling that can admit a regular octagon. The Ammann–Beenker tiling is a nonperiodic tesselation of prototiles that feature prominent...
74 KB (7,953 words) - 21:05, 10 August 2024
Edmund; Frettlöh, Dirk, "Ammann-Beenker", Tilings Encyclopedia, Bielefeld University Penrose, R. (1997), "Remarks on tiling: Details of a (1+ε+ε2) aperiodic...
37 KB (2,491 words) - 16:46, 8 March 2024
similar to the 10-fold Penrose rhombic tilings, and 8-fold Ammann–Beenker tilings. The 12-fold tiles easily tile periodically, so special rules are defined...
2 KB (223 words) - 07:22, 13 July 2024
_{s}a^{2}\simeq 4.828427a^{2}.} Metallic means Golden ratio Supersilver ratio Ammann–Beenker tiling Vera W. de Spinadel (1999). The Family of Metallic Means, Vismath...
8 KB (1,190 words) - 07:25, 30 May 2024
of this one dissection. These squares and rhombs are used in the Ammann–Beenker tilings. A skew octagon is a skew polygon with eight vertices and edges...
18 KB (2,142 words) - 21:58, 13 August 2024
topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter...
22 KB (1,465 words) - 13:34, 14 August 2024
first two dimensions of the new coordinates produces an Ammann–Beenker tiling (another such tiling is produced by projecting along the last two dimensions)...
17 KB (2,474 words) - 21:34, 1 March 2024
3,3,5}, called an order-5 tesseractic honeycomb. The Ammann–Beenker tiling is an aperiodic tiling in 2 dimensions obtained by cut-and-project on the tesseractic...
8 KB (1,031 words) - 00:34, 29 July 2024