Results 31 to 40 of about 33,997 (183)
The Crossing Number of The Hexagonal Graph H3,n
In [C. Thomassen, Tilings of the torus and the Klein bottle and vertex-transitive graphs on a fixed surface, Trans. Amer. Math. Soc. 323 (1991) 605–635], Thomassen described completely all (except finitely many) regular tilings of the torus S1 and the ...
Wang Jing +2 more
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Generalized quasiperiodic Rauzy tilings [PDF]
We present a geometrical description of new canonical $d$-dimensional codimension one quasiperiodic tilings based on generalized Fibonacci sequences. These tilings are made up of rhombi in 2d and rhombohedra in 3d as the usual Penrose and icosahedral ...
Balay S. +6 more
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Recursive tilings and space-filling curves with little fragmentation
This paper defines the Arrwwid number of a recursive tiling (or space-filling curve) as the smallest number a such that any ball Q can be covered by a tiles (or curve fragments) with total volume O(volume(Q)).
Herman Haverkort
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MLD Relations of Pisot Substitution Tilings
We consider 1-dimensional, unimodular Pisot substitution tilings with three intervals, and discuss conditions under which pairs of such tilings are locally isomorhphic (LI), or mutually locally derivable (MDL).
Arnoux P +5 more
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Flip invariance for domino tilings of three-dimensional regions with two floors [PDF]
We investigate tilings of cubiculated regions with two simply connected floors by 2 x 1 x 1 bricks. More precisely, we study the flip connected component for such tilings, and provide an algebraic invariant that "almost" characterizes the flip connected ...
Milet, Pedro H., Saldanha, Nicolau C.
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A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise-disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well ...
F. G. Arenas
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Tame SL2-tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL2-tilings. In this note, we demonstrate SL2-tilings that are maximally wild: we prove that the maximum wild density of an integer SL2-tiling is 25 and ...
Andrei Zabolotskii
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We study a problem about the number of lattice plane tilings by the given area centrosymmetrical polyominoes. A polyomino is a connected plane geomatric figure formed by joiining a finite number of unit squares edge to edge.
A. V. Shutov, E. V. Kolomeykina
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On the Classification of Brane Tilings
We present a computationally efficient algorithm that can be used to generate all possible brane tilings. Brane tilings represent the largest class of superconformal theories with known AdS duals in 3+1 and also 2+1 dimensions and have proved useful for ...
A Hanany +26 more
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