prototile

prototile
Any of the minimal set of non-congruent shapes from which a larger set of shapes, some of which may be congruent, can be produced.

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  • Prototile — In a given set S of shapes, some shapes may be congruent to one or more others.A subset R of S is called a set of prototiles of S , if * the shapes in R are mutually non congruent * R is complete in the sense that each shape A in S is congruent… …   Wikipedia

  • Aperiodic tiling — are an aperiodic set of tiles, since they admit only non periodic tilings of the plane:] Any of the infinitely many tilings by the Penrose tiles is non periodic. More informally, many refer to the Penrose tilings as being aperiodic tilings , but… …   Wikipedia

  • Substitution tiling — A tile substitution is a useful method for constructing highly ordered tilings. Most importantly, some tile substitutions generate aperiodic tilings, which are tilings whose prototiles do not admit any tiling with translational symmetry. The most …   Wikipedia

  • Penrose tiling — A Penrose tiling is a nonperiodic tiling generated by an aperiodic set of prototiles named after Roger Penrose, who investigated these sets in the 1970s.Because all tilings obtained with the Penrose tiles are non periodic, Penrose tilings are… …   Wikipedia

  • Polyomino — The 18 one sided pentominoes, including 6 mirrored pairs …   Wikipedia

  • List of geometry topics — This is list of geometry topics, by Wikipedia page.*Geometric shape covers standard terms for plane shapes *List of mathematical shapes covers all dimensions *List of differential geometry topics *List of geometers *See also list of curves, list… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

  • Pinwheel tiling — The pinwheel tiling is an aperiodic tiling proposed by John Conway and Charles Radin.It is constructed with a right triangle which appears in infinitely many orientations. This is its most remarkable feature, which was expressly sought by Radin.… …   Wikipedia

  • Ammann–Beenker tiling — In geometry, an Ammann–Beenker tiling is a nonperiodic tiling generated by an aperiodic set of prototiles named after Robert Ammann, who first discovered the tilings in the 1970s, and after F. P. M. Beenker who discovered them independently and… …   Wikipedia

  • компьютерная графика — визуализация изображения информации на экране дисплея (монитора). В отличие от воспроизведения изображения на бумаге или ином носителе, изображение, созданное на экране, можно почти немедленно стереть или (и) подправить, сжать или растянуть,… …   Энциклопедический словарь

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