Results 51 to 60 of about 33,997 (183)
Spherical tilings by congruent quadrangles : forbidden cases and substructures [PDF]
, 2015 In this article we show the non-existence of a class of spherical tilings by congruent quadrangles. We also prove several forbidden substructures for spherical tilings by congruent quadrangles.
Akama, Yohji, Van Cleemput, Nicolas
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, 2000 In this paper we introduce a model for a wide class of computational systems, whose behaviour can be described by certain rewriting rules. We gathered our inspiration both from the world of term rewriting, in particular from the {\em rewriting logic} framework \cite{Mes92}, and of concurrency theory: among the others, the {\em structured operational ...
GADDUCCI, FABIO +1 more
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Angle Combinations in Spherical Tilings by Congruent Pentagons [PDF]
, 2014 We develop a systematic method for computing the angle combinations in spherical tilings by angle congruent pentagons, and study whether such combinations can be realized by actual angle or geometrically congruent tilings.
Luk, Hoiping, Yan, Min
core
Quasiperiodicity and non-computability in tilings
, 2015 We study tilings of the plane that combine strong properties of different nature: combinatorial and algorithmic. We prove existence of a tile set that accepts only quasiperiodic and non-recursive tilings.
B Durand +15 more
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Entropy and chirality in sphinx tilings
Physical Review ResearchAs a toy model of chiral interactions in crowded spaces, we consider sphinx tilings in finite regions of the triangular lattice. The sphinx tiles, hexiamonds composed of six equilateral triangles in the shape of a stylized sphinx, come in left and right ...
Greg Huber +3 more
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Tiling problems, automata, and tiling graphs
Theoretical Computer Science, 2008 This paper continues the investigation of tiling problems via formal languages, which was begun in papers by Merlini, Sprugnoli, and Verri. Those authors showed that certain tiling problems could be encoded by regular languages, which lead automatically to generating functions and other combinatorial information on tilings.
Katherine P. Benedetto +1 more
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A generalization of Aztec diamond theorem, part I [PDF]
, 2014 We generalize Aztec diamond theorem (N. Elkies, G. Kuperberg, M. Larsen, and J. Propp, Alternating-sign matrices and domino tilings, Journal Algebraic Combinatoric, 1992) by showing that the numbers of tilings of a certain family of regions in the square
Lai, Tri
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The countability of a tiling family and the periodicity of a tiling [PDF]
Discrete & Computational Geometry, 1995 The following interesting theorem is established: If the family of (\(d\)- dimensional) tilings (the species generated by a finite set of prototiles subject to a finite set of matching rules is countable, then it contains a periodic tiling. Or, conversely, any aperiodic set of prototiles (which, by definition, does not admit a periodic tiling ...
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Quantum Simulation of a 2D Quasicrystal with Cold Atoms
Crystals, 2016 We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. One can obtain a series of such optical tilings, related by scale transformations, for a series of specific values of the chemical potential of ...
Nicolas Macé +2 more
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