A Socolar tiling is an example of an aperiodic tiling, developed in 1989 by Joshua Socolar in the exploration of quasicrystals. There are 3 tiles a 30°...
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The Socolar–Taylor tile is a single non-connected tile which is aperiodic on the Euclidean plane, meaning that it admits only non-periodic tilings of the...
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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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Einstein problem (redirect from Einstein tiling)
Commons. Einstein tile's molecular analogs may be used to form chiral, two dimensional quasicrystals. Binary tiling, a weakly aperiodic tiling of the hyperbolic...
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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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anisohedral if it admits a tiling, but no such tiling is isohedral (tile-transitive); that is, in any tiling by that shape there are two tiles that are not equivalent...
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Deci-Blocks Twenty-First Century Pattern Blocks Attribute blocks Socolar tiling - aperiodic tilings which 3 of the pattern block shapes with specific rules of...
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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...
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Isohedral figure (redirect from Isohedral tiling)
tiling (m = 1) has congruent faces, either directly or reflectively, which occur in one or more symmetry positions. An m-hedral polyhedron or tiling has...
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Gyrobifastigium (redirect from Schmitt–Conway–Danzer tile)
With a Single Tile Joshua E. S. Socolar and Joan M. Taylor, 2011 Senechal, Marjorie (1996), "7.2 The SCD (Schmitt–Conway–Danzer) tile", Quasicrystals...
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'Forbidden' Quasicrystal". Discover Magazine. Retrieved July 25, 2021. Socolar, J.; Steinhardt, P.J. (1986). "Quasicrystals II: Unit Cell Configurations"...
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E. S. Socolar, P. J. Steinhardt, and S. Torquato. Hyperuniformity of quasicrystals. Phys. Rev. B, 95:054119, 2017. E. C. O˘guz, J. E. S. Socolar, P. J...
67 KB (7,364 words) - 03:31, 25 October 2024