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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.
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The smaller A-tile, denoted A S, is an obtuse Robinson triangle, while the larger A-tile, A L, is acute; in contrast, a smaller B-tile, denoted B S, is an acute Robinson triangle, while the larger B-tile, B L, is obtuse. Concretely, if A S has side lengths (1, 1, φ), then A L has side lengths (φ, φ, 1). B-tiles can be related to such A-tiles ...
This tiling represents a hyperbolic kaleidoscope of 6 mirrors defining a regular hexagon fundamental domain. This symmetry by orbifold notation is called *333333 with 6 order-3 mirror intersections. In Coxeter notation can be represented as [6 * ,6], removing two of three mirrors (passing through the hexagon center) in the [6,6] symmetry.
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 ...
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).