Results 11 to 20 of about 20,162 (144)
Structural insights into a rhombic Penrose tiling variant abundant in five-petaled flower motifs [PDF]
Scientific ReportsWe present a novel variant of a planar quasiperiodic tiling with ten-fold symmetry, utilising thick and thin rhombuses akin to the well-known rhombic Penrose tiling. It is shown that this new tiling shares several key characteristics with its predecessor,
Nobuhisa Fujita, Komajiro Niizeki
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Study of the Structural components and Meaning of the Headstones in the Shrine of Hazrat Suleiman (AS) in Shiraz during the Qajar Period [PDF]
مجله مطالعات ایرانی, 2023 The tile painting of the court of Hazrat Suleiman the Prophet and the demons is one of the artistic examples of the Qajar period, which, in addition to the artistic and religious characteristics, shows the relationship between art, religion and politics ...
Elahe Panjehpashi
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Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile [PDF]
Discrete & Computational Geometry, 2023 AbstractWe construct an example of a group$$G = \mathbb {Z}^2 \times G_0$$G=Z2×G0for a finite abelian group $$G_0$$G0, a subsetEof $$G_0$$G0, and two finite subsets$$F_1,F_2$$F1,F2of G, such that it is undecidable in ZFC whether$$\mathbb {Z}^2\times E$$Z2×Ecan be tiled by translations of$$F_1,F_2$$F1,F2.
Rachel Greenfeld, Terence Tao
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Algorithmically aided management of structure modularity at the design and execution stage [PDF]
Archives of Civil Engineering, 2021 The interest in prefabricated building modules is constantly growing due to the increasing possibilities of analysing extensive data sets in computers and the popularity of BIM technology.
Krzysztof Nazar, Jan Słyk
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Transactions of the American Mathematical Society, 2012 The authors consider the golden Anosov automorphism \(G_A\) on the torus \(\mathbb{T}^2\), defined in such a way that the ratio of its unstable and stable eigenvalues is the golden number \((1+ \sqrt 5)/2\). They study the space \({\mathcal G}\) of all \(C^{1 + \alpha}\) diffeomorphisms that are topologically conjugate to \(G_A\) and possess an ...
Pinto, Alberto A. +2 more
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The Electronic Journal of Combinatorics, 1996 Given a list $1\times 1, 1\times a, 1\times b, \dots, 1\times c$ of rectangles, with $a,b,\dots,c$ non-negative, when can $1\times{t}$ be tiled by positive and negative copies of rectangles which are similar (uniform scaling) to those in the list? We prove that such a tiling exists iff $t$ is in the field $Q(a,b,\dots,c)$.
Keating, Kevin, King, Jonathan L.
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Journal of Symbolic Logic, 2001 AbstractWe study the minimal complexity of tilings of a plane with a given tile set. We note that every tile set admits either no tiling or some tiling withKolmogorov complexity of its (n×n)-squares. We construct tile sets for which this bound is tight: all (n×n)-squares in all tilings have complexity Ω(n).
Durand, Bruno +2 more
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Glial Patchwork: Oligodendrocyte Progenitor Cells and Astrocytes Blanket the Central Nervous System
Frontiers in Cellular Neuroscience, 2022 Tiling is a developmental process where cell populations become evenly distributed throughout a tissue. In this review, we discuss the developmental cellular tiling behaviors of the two major glial populations in the central nervous system (CNS ...
Heather M. Barber +6 more
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Tiling a Rectangle with Polyominoes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 A polycube in dimension $d$ is a finite union of unit $d$-cubes whose vertices are on knots of the lattice $\mathbb{Z}^d$. We show that, for each family of polycubes $E$, there exists a finite set $F$ of bricks (parallelepiped rectangles) such that the ...
Olivier Bodini
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On substitution tilings of the plane with n-fold rotational symmetry [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Discrete ...
Gregory R. Maloney
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