Results 61 to 70 of about 33,997 (183)
Substitutions with Vanishing Rotationally Invariant First Cohomology
Discrete Dynamics in Nature and Society, 2012 The cohomology groups of tiling spaces with three-fold and nine-fold symmetries are obtained. The substitution tilings are characterized by the fact that they have vanishing first cohomology group in the space of tilings modulo a rotation.
Juan García Escudero
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On Maximal Homogeneous 3-Geometries—A Polyhedron Algorithm for Space Tilings
Universe, 2018 In this paper we introduce a polyhedron algorithm that has been developed for finding space groups. In order to demonstrate the problem and the main steps of the algorithm, we consider some regular plane tilings in our examples, and then we generalize ...
István Prok
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Tiling with smooth and rotund tiles [PDF]
Fundamenta Mathematicae, 1986 A tiling of a topological space S is a collection \({\mathcal C}\) of at least two subsets of S which covers S and each member of \({\mathcal C}\) is the closure of its nonempty interior and the interiors are disjoint. Tilings of topological vector spaces by nonlocally finite collections of bounded or finitely bounded convex sets are studied in this ...
KLEE V, MALUTA, ELISABETTA, ZANCO C.
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Comptes Rendus. MathématiqueWe present a technique to lift some tilings of the discrete hyperbolic plane –tilings defined by a 1D substitution– into a zero entropy subshift of finite type (SFT) on non-abelian amenable groups $\mathit{BS}(1,n)$ for $n\ge 2$.
Aubrun, Nathalie, Schraudner, Michael
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International Journal of Modern Physics A, 2007 We review and extend the progress made over the past few years in understanding the structure of toric quiver gauge theories; those which are induced on the worldvolume of a stack of D3-branes placed at the tip of a toric Calabi–Yau cone, at an "orbifold point" in Kähler moduli space.
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Tilings of a Domain on a Hexagon Mesh with Balanced 3-Tiles [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this article, we study the question of tilings on a hexagon mesh with balanced 3-tiles. This problem has been studied by Conway and Lagarias in [CL90], by studying the tiling groups, in fact a group containing the tiling-groups, and their Cayley ...
Gilles Radenne
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Local statistics for random domino tilings of the Aztec diamond
, 2000 We prove an asymptotic formula for the probability that, if one chooses a domino tiling of a large Aztec diamond at random according to the uniform distribution on such tilings, the tiling will contain a domino covering a given pair of adjacent lattice ...
Cohn, Henry, Elkies, Noam, Propp, James
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Classical Dimers on Penrose Tilings
Physical Review X, 2020 We study the classical dimer model on rhombic Penrose tilings, whose edges and vertices may be identified as those of a bipartite graph. We find that Penrose tilings do not admit perfect matchings (defect-free dimer coverings).
Felix Flicker +2 more
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Rhombic tilings and Bott-Samelson varieties
, 2016 S.~Elnitsky (1997) gave an elegant bijection between rhombic tilings of $2n$-gons and commutation classes of reduced words in the symmetric group on $n$ letters.
Escobar, Laura +3 more
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Metaheuristic generation of brane tilings
Physics Letters BThe combinatorics of dimer models on brane tilings describe a large class of four-dimensional N=1 gauge theories that afford quiver descriptions and have toric moduli spaces. We introduce a combinatorial optimization method leveraging simulated annealing
Yang-Hui He +2 more
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