### Some articles on *tilings, tiling*:

Ammann–Beenker Tiling - Description of The Tiles

... The most common choice of tileset to produce the Ammann–Beenker

... The most common choice of tileset to produce the Ammann–Beenker

**tilings**includes a rhombus with 45- and 135-degree angles (these rhombi are shown in blue in the diagram at ... show the pieces and a portion of the**tilings**... Katz has studied the additional**tilings**allowed by dropping the vertex constraints and imposing only the requirement that the edge arrows match ...The Pinwheel

... construction of Conway to define Pinwheel

**Tilings**... construction of Conway to define Pinwheel

**tilings**... Formally, the Pinwheel**tilings**are the**tilings**whose tiles are isometric copies of, with a tile maying intersect another tile only either on a whole side or on half the length side, and such that the ... Given any Pinwheel**tiling**, there is a Pinwheel**tiling**which, once each tile is divided in five following the Conway construction and the result is dilated by a factor, is ...Ammann–Beenker Tiling

... In geometry, an Ammann–Beenker

... In 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, or by the cut-and-project method as done ... Because all**tilings**obtained with the tiles are non-periodic, Ammann–Beenker**tilings**are considered aperiodic**tilings**... They are one of the five sets of**tilings**discovered by Ammann and described in**Tilings**and Patterns ...Substitution Tiling

... substitution is a useful method for constructing highly ordered

... substitution is a useful method for constructing highly ordered

**tilings**... importantly, some tile substitutions generate aperiodic**tilings**, which are**tilings**whose prototiles do not admit any**tiling**with translational symmetry ... The most famous of these are the Penrose**tilings**...Truncated Heptagonal Tiling - Related Polyhedra and

... This hyperbolic

**Tilings**... This hyperbolic

**tiling**is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2n.2n), and Coxeter group symmetry ... Dimensional family of truncated polyhedra and**tilings**3.2n.2n Symmetry *n32 Spherical Euclidean Hyperbolic.. ... a Wythoff construction there are eight hyperbolic uniform**tilings**that can be based from the regular heptagonal**tiling**...Main Site Subjects

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