Penrose tiling
A Penrose tiling is an example of non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of prototiles implies that a shifted copy of a tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:
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Penrose tiling
A Penrose tiling is an example of non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of prototiles implies that a shifted copy of a tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:
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25بك المحتوى هنا ينقصه الاستشه ...... ختراعه روجر بنروز في عام 1970.
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A Penrose tiling is an example ...... project schemes and coverings.
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Een Penrose-betegeling is een ...... ige rotatiesymmetrie bezitten.
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Eine Penrose-Parkettierung ist ...... dschema periodisch wiederholt.
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En mathématiques, et plus préc ...... structure des quasi-cristaux.
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In geometria, una tassellatura ...... rose e Robert Ammann nel 1974.
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Os mosaicos de Penrose são mos ...... o a formar uma figura redonda.
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Parkietaż Penrose’a – rodzaj p ...... materiałów – „kwazikryształy”.
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Una Teselación de Penrose o su ...... rte y proyección y coberturas.
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Мозаика Пенроуза, плитки Пенро ...... азбиения в 70-х годах XX века.
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Kite and dart tiles and the seven possible vertex figures in a P2 tiling.
Partial inflation of star to yield rhombs, and of a collection of rhombs to yield an ace.
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25بك المحتوى هنا ينقصه الاستشه ...... ختراعه روجر بنروز في عام 1970.
@ar
A Penrose tiling is an example ...... able properties, most notably:
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Een Penrose-betegeling is een ...... ige rotatiesymmetrie bezitten.
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Eine Penrose-Parkettierung ist ...... dschema periodisch wiederholt.
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En mathématiques, et plus préc ...... structure des quasi-cristaux.
@fr
In geometria, una tassellatura ...... rose e Robert Ammann nel 1974.
@it
Os mosaicos de Penrose são mos ...... o a formar uma figura redonda.
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Parkietaż Penrose’a – rodzaj p ...... wygląda w wersji „gładkiej”).
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Una Teselación de Penrose o su ...... usualmente se refiere a esos.
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Мозаика Пенроуза, плитки Пенро ...... азбиения в 70-х годах XX века.
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Mosaico de Penrose
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Parkietaż Penrose’a
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Pavage de Penrose
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Penrose tiling
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Penrose-Parkettierung
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Penrose-betegeling
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Tassellatura di Penrose
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Teselación de Penrose
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Мозаика Пенроуза
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تبليط بنروز
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