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Pinwheel tiling information


In geometry, pinwheel tilings are non-periodic tilings defined by Charles Radin and based on a construction due to John Conway. They are the first known non-periodic tilings to each have the property that their tiles appear in infinitely many orientations.

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Pinwheel tiling

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Wikimedia Commons has media related to Pinwheel tiling. In geometry, pinwheel tilings are non-periodic tilings defined by Charles Radin and based on a...

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Pinwheel

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Look up pinwheel in Wiktionary, the free dictionary. Pinwheel may refer to: Pinwheel (toy), a spinning children's toy Pinwheel (cryptography), a device...

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Penrose tiling

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Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is...

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Pythagorean tiling

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A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four...

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Tessellation

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wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...

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Aperiodic tiling

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aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types...

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Quaquaversal tiling

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quaquaversal tiling is a nonperiodic tiling of the euclidean 3-space introduced by John Conway and Charles Radin. The basic solid tiles are half prisms...

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Federation Square

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sandstone and no cladding, in a camouflage-like pattern, and created using pinwheel tiling. The 'crossbar' is an east–west built from that runs through the long...

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List of mathematical shapes

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icosahedron Square tiling Triangular tiling Hexagonal tiling Apeirogon Dihedron Lobachevski plane Hyperbolic tiling Order-7 heptagrammic tiling Heptagrammic-order...

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Tile

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The techniques and tools for tiling is advanced, evidenced by the fine workmanship and close fit of the tiles. Such tiling can be seen in Ruwanwelisaya...

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Charles Radin

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work on aperiodic tilings and in particular for defining the pinwheel tiling and, with John Horton Conway, the quaquaversal tiling. Radin did his undergraduate...

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Square root of 5

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Decomposition of a 1 × 2 {\displaystyle 1\times 2} right triangle into five similar triangles, the basis for the aperiodic pinwheel tiling....

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John Horton Conway

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the Conway criterion which is a fast way to identify many prototiles that tile the plane. He investigated lattices in higher dimensions and was the first...

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List of aperiodic sets of tiles

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the tiles). A tiling is considered periodic if there exist translations in two independent directions which map the tiling onto itself. Such a tiling is...

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Substitution tiling

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^{k}(T_{i})} is called a substitution tiling (for the tile substitution ( Q , σ ) {\displaystyle (Q,\sigma )} ). Pinwheel tiling Photographic mosaic C. Goodman-Strauss...

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Tetrakis square tiling

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In geometry, the tetrakis square tiling is a tiling of the Euclidean plane. It is a square tiling with each square divided into four isosceles right triangles...

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Quasicrystals and Geometry

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of certain aperiodic tilings such as the Penrose tiling. (There also exist other aperiodic tilings, such as the pinwheel tiling, for which the existence...

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Wallpaper group

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tessellations, tiles and physical wallpaper. Any periodic tiling can be seen as a wallpaper. More particularly, we can consider as a wallpaper a tiling by identical...

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Danzer set

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cut-and-project method for constructing aperiodic tilings. Therefore, the vertices of the pinwheel tiling and Penrose tiling are not Danzer sets. A variation of the...

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The Fractal Dimension of Architecture

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Apollonian gasket, Fibonacci word, Koch snowflake, Minkowski sausage, pinwheel tiling, terdragon, and Sierpiński triangle. The remaining six chapters explain...

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List of fractals by Hausdorff dimension

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Archived 21 September 2002 at archive.today Fractal dimension of a Penrose tiling Shishikura, Mitsuhiro (1991). "The Hausdorff dimension of the boundary of...

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Chamfered square tiling

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geometry, the chamfered square tiling or semitruncated square tiling is a tiling of the Euclidean plane. It is a square tiling with each edge chamfered into...

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Rotational symmetry

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this symmetry); it is e.g. the rotation group of the regular triangular tiling with the equilateral triangles alternatingly colored. p4 (442): 2×4-fold...

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Che Kung Temple

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into good luck for in the coming year, the pinwheel is spun counterclockwise. Buying a personal pinwheel and placing it in a position that abides by...

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List of Unicode characters

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U+272D ✭ Outlined black star U+272E ✮ Heavy outlined black star U+272F ✯ Pinwheel star U+2730 ✰ Shadowed white star U+2731 ✱ Heavy asterisk U+2732 ✲ Open...

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Ocular dominance column

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blobs and pinwheel centers tend to lie in the center of ocular dominance columns, but no particular relation has been found between pinwheel centers and...

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Apple Developer Tools

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activity in software programs. The program gets its name from the spinning pinwheel on macOS. Discontinued as of Xcode 4.2. Thread Viewer is a performance...

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