单词 | penrose tiling |
释义 | > as lemmasPenrose tiling 3. attributive. Designating or relating to (a) a tiling of a plane using a finite number of tile shapes according to certain constraints (such that no translation of the plane maps each tile precisely on to another), resulting in a nonperiodic pattern; (also in extended use) designating or relating to the analogous concept in three dimensions; esp. in Penrose tiling; (b) an element used in such a tiling, lattice, etc.; esp. in Penrose tile.Described by Penrose in 1974 in Bull. Inst. Math. & its Applic. 10 266–271 for four or more different shapes and subsequently for two-element tilings in 1978 ( Eureka 39 16–39). Penrose was not, however, the first to discover the existence of such tilings, first found in a form consisting of six elements. ΘΚΠ the world > relative properties > number > geometry > surface > [noun] > plane > tiling of stellation1938 Penrose1975 the world > relative properties > number > geometry > shape or figure > [noun] > two-dimensional > other amblygon1570 obliquea1608 triangulate1610 pelecoid1706 leaf1716 oblongitude1739 hexagram1863 polystigm1863 tetragram1863 tetrastigm1863 trigram1882 tetromino1954 tromino1954 tetrabolo1961 Penrose tile1975 1975 R. M. Robinson (title) Comments on Penrose tiles. 1977 Sci. Amer. Jan. 115/1 To approach the full beauty and mystery of the Penrose tiling one should make at least 100 kites and 50 darts. 1984 Physical Rev. B. 32 5765/1 The underlying 5 D space-group symmetry of the Penrose lattices has not been revealed before. 1986 Sci. Amer. Aug. 39/3 If the Penrose rhombohedrons are to be a good description of a particular shechtmanite alloy, the variations must be small. 1992 Economist 22 Aug. 76/1 Quasi-crystals..not only lack traditional symmetry, but show disturbing signs of the forbidden five and eight-fold varieties. They are composed of three-dimensional analogues to Penrose tiles. 1999 New Scientist 27 Feb. 44/3 The Penrose tiling looks cock-eyed close up, yet over large distances the tiles tend to form repeating patterns with fivefold order, just like quasicrystals. < as lemmas |
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