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...

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...

polygon, and the only tiling that can admit a regular octagon. The Ammann–Beenker tiling is a nonperiodic tesselation of prototiles that feature prominent...

Edmund; Frettlöh, Dirk, "Ammann-Beenker", Tilings Encyclopedia, Bielefeld University Penrose, R. (1997), "Remarks on tiling: Details of a (1+ε+ε2) aperiodic...

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...

_{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...

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...

topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual kinds of tiles. Each chapter...

first two dimensions of the new coordinates produces an Ammann–Beenker tiling (another such tiling is produced by projecting along the last two dimensions)...

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...