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 is a nonperiodic tiling generated by an aperiodic set of prototiles named after Sir Roger Penrose, who investigated these sets in the 1970s. High Quality Content by WIKIPEDIA articles! Because all tilings obtained with the Penrose tiles are non-periodic, Penrose tilings are considered aperiodic tilings.
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Lambert M. S.
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It can be seen as an equilateral hexagonal tiling with each hexagon divided into 12 triangles from the center point. (Alternately it can be seen as a bisected triangular tiling divided into 6 triangles, or as an infinite arrangement of lines in six parallel families. ) It is constructed by congruent 30-60 degree right triangles with 4, 6, and 12 triangles meeting at each vertex.
|Roger Penrose Книга по Требованию Lambert M. S. |
He has received a number of prizes and awards, including the 1988 Wolf Prize for physics which he shared with Stephen Hawking for their contribution to our understanding of the universe.
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Applications to enumerative combinatorics (alternating sign matrices, plane partitions) and to algebraic geometry (computation of the degree of algebraic varieties) are described.
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The book features the variety of techniques used by decorative tile manufacturers and the way in which designers, architects and builders exploited the colour palette of ceramic glazes.
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Несмотря на то, что была проведена серьезная работа по восстановлению первоначального качества издания, на некоторых страницах могут обнаружиться небольшие "огрехи": помарки, кляксы и т. п. Книга представляет собой репринтное издание.
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Some of the larger displays were made to decorate public and private spaces; others use single tiles to interpret nature, tell a story, or make cultural observations.