Results 31 to 40 of about 33,997 (183)

The Crossing Number of The Hexagonal Graph H3,n

open access: yesDiscussiones Mathematicae Graph Theory, 2019
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
doaj   +1 more source

Tiles and Colors [PDF]

open access: yesJournal of Statistical Physics, 2001
18 pages, 3 figures (in 5 eps files)
openaire   +5 more sources

Generalized quasiperiodic Rauzy tilings [PDF]

open access: yes, 2001
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
core   +1 more source

Recursive tilings and space-filling curves with little fragmentation

open access: yesJournal of Computational Geometry, 2011
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
doaj   +1 more source

MLD Relations of Pisot Substitution Tilings

open access: yes, 2010
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
core   +1 more source

Flip invariance for domino tilings of three-dimensional regions with two floors [PDF]

open access: yes, 2014
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.
core   +1 more source

Tilings in topological spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
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
doaj   +1 more source

Wildest SL2-tilings

open access: yesExamples and Counterexamples
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
doaj   +1 more source

The Estimating of the Number of Lattice Tilings of a Plane by a Given Area Centrosymmetrical Polyomino

open access: yesМоделирование и анализ информационных систем, 2015
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
doaj   +1 more source

On the Classification of Brane Tilings

open access: yes, 2009
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
core   +1 more source

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