Results 41 to 50 of about 33,997 (183)
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
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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
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Enumeration of octagonal tilings [PDF]
, 2015 Random tilings are interesting as idealizations of atomistic models of quasicrystals and for their connection to problems in combinatorics and algorithms.
Hutchinson, Maxwell, Widom, Michael
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On Characterizations of Fourier Frames and Tilings
Journal of Applied Mathematics, 2013 We give some characterizations of Fourier frames and tilings and obtain a more general form of characterizations of spectra and tilings.
Dao-Xin Ding, Hai-Xiong Li
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Correlations for the Novak process [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We study random lozenge tilings of a certain shape in the plane called the Novak half-hexagon, and compute the correlation functions for this process. This model was introduced by Nordenstam and Young (2011) and has many intriguing similarities with a ...
Eric Nordenstam, Benjamin Young
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Projective subdynamics and universal shifts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We study the projective subdynamics of two-dimensional shifts of finite type, which is the set of one-dimensional configurations that appear as columns in them.
Pierre Guillon
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OPTIMIZATION-BASED APPROACH TO TILING OF FINITE AREAS WITH ARBITRARY SETS OF WANG TILES
Acta Polytechnica CTU Proceedings, 2017 Wang tiles proved to be a convenient tool for the design of aperiodic tilings in computer graphics and in materials engineering. While there are several algorithms for generation of finite-sized tilings, they exploit the specific structure of individual ...
Marek Tyburec, Jan Zeman
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From Aztec diamonds to pyramids: steep tilings
, 2017 We introduce a family of domino tilings that includes tilings of the Aztec diamond and pyramid partitions as special cases. These tilings live in a strip of $\mathbb{Z}^2$ of the form $1 \leq x-y \leq 2\ell$ for some integer $\ell \geq 1$, and are ...
Bouttier, Jérémie +2 more
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Proceedings of the London Mathematical Society, 2016 23 pages, 19 figures; slightly ...
Gruslys, Vytautas +2 more
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Theoretical Computer Science, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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