isohedral tiling

isohedral tiling
изоэдральное покрытие

English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. . 1994.

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  • Isohedral figure — In geometry, a polytope (a polyhedron or a polychoron for example) or tiling is isohedral or face transitive when all its faces are the same. More specifically, all faces must be not merely congruent but must be transitive , i.e. must lie within… …   Wikipedia

  • isohedral — adjective Describing a polyhedron or a tiling all of whose faces are the same …   Wiktionary

  • Anisohedral tiling — In geometry, a shape is said to be 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 under any symmetry of the tiling. A tiling… …   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

  • Deltoidal trihexagonal tiling — Type Dual semiregular tiling Faces kite Face configuration V3.4.6.4 …   Wikipedia

  • Isogonal figure — In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex transitive if all its vertices are the same. That is, each vertex is surrounded by the same kinds of face in the same order, and with the same angles… …   Wikipedia

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

  • Pavage pentagonal — Les différents pavages pentagonaux isoédraux connus. Un pavage pentagonal est, en géométrie, un pavage du plan par des pentagones, réguliers ou non. On connait quatorze types de pavages pentagonaux isoédraux  …   Wikipédia en Français

  • Isotoxal figure — This article is about geometry. For edge transitivity in graph theory, see edge transitive graph. In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isotoxal or edge transitive if its symmetries act transitively on its… …   Wikipedia

  • Medial rhombic triacontahedron — Type Star polyhedron Elements F = 30, E = 60 V = 24 (χ = −6) Symmetry group Ih, [5,3], *532 …   Wikipedia

  • Hilbert's eighteenth problem — is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It asks three separate questions. Symmetry groups in n dimensions The first part of the problem asks whether there are only finitely many… …   Wikipedia


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