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The Laves tilings have vertices at the centers of the regular polygons, and edges connecting centers of regular polygons that share an edge. The tiles of the Laves tilings are called planigons. This includes the 3 regular tiles (triangle, square and hexagon) and 8 irregular ones. [4] Each vertex has edges evenly spaced around it.
The six coordinates of each pentagon can be grouped into two triples of coordinates, in which each triple gives the coordinates of a hexagon in an analogous three-dimensional coordinate system for each of the two overlaid hexagon tilings. [10] The number of tiles that are steps away from any given tile, for =,,, …, is given by the ...
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Smallest aperiodic set of Wang tiles. No image: Decagonal Sponge tile: 1: E 2: 2002 [58] [59] Porous tile consisting of non-overlapping point sets. No image: Goodman-Strauss strongly aperiodic tiles: 85: H 2: 2005 [60] No image: Goodman-Strauss strongly aperiodic tiles: 26: H 2: 2005 [61] Böröczky hyperbolic tile: 1: H n: 1974 [62] [63] [61 ...
Panot (transl. flagstone) is a type of outdoor cement tile and the associated paving style, both found in Barcelona. Panot tiles are usually small and square, and feature graphic designs pertaining to the neighbourhoods of the city which they pave. The panot tiles designed by Antoni Gaudí are hexagonal.
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t {3,6} (as a truncated triangular tiling).