Results 31 to 40 of about 33,813 (262)
Journal of Algebra, 2000 In earlier articles of the first author it was shown how to construct an inverse semigroup from any tiling of Euclidean space. Such semigroups are called tiling semigroups. In the paper a categorical basis for such constructions is given in terms of an appropriate group acting partially and without fixed points on an inverse category associated with ...
Kellendonk, J., Lawson, Mark V.
openaire +2 more sources
ACS Nano, 2014 We present a scheme to categorize the structure of different layered phosphorene allotropes by mapping their non-planar atomic structure onto a two-color 2D triangular tiling pattern. In the buckled structure of a phosphorene monolayer, we assign atoms in "top" positions to dark tiles and atoms in "bottom" positions to light tiles.
Guan, Jie, Zhu, Zhen, Tománek, David
openaire +3 more sources
Proceedings of the London Mathematical Society, 2016 23 pages, 19 figures; slightly ...
Gruslys, Vytautas +2 more
openaire +3 more sources
On the Classification of Brane Tilings
, 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
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.
openaire +2 more sources
MLD Relations of Pisot Substitution Tilings
, 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
Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 The aim of this paper is to give an overview of recent results about tilings, discrete approximations of lines and planes, and Markov partitions for toral automorphisms.The main tool is a generalization of the notion of substitution.
Pierre Arnoux +3 more
doaj +1 more source
On Fibonacci (k,p)-Numbers and Their Interpretations
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 In this paper, we define new kinds of Fibonacci numbers, which generalize both Fibonacci, Jacobsthal, Narayana numbers and Fibonacci p-numbers in the distance sense, using the definition of a distance between numbers by a recurrence relation according to
Berke Cengiz, Yasemin Taşyurdu
doaj +1 more source
SCD Patterns Have Singular Diffraction
, 2004 Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part, that they have a
Blanchard P. +8 more
core +2 more sources