Results 71 to 80 of about 33,997 (183)
Tilings of the Sphere by Edge Congruent Pentagons [PDF]
, 2013 We study edge-to-edge tilings of the sphere by edge congruent pentagons, under the assumption that there are tiles with all vertices having degree 3. We develop the technique of neighborhood tilings and apply the technique to completely classify edge ...
Cheuk, Ka Yue, Cheung, Ho Man, Yan, Min
core
Gale-Robinson Sequences and Brane Tilings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We study variants of Gale-Robinson sequences, as motivated by cluster algebras with principal coefficients. For such cases, we give combinatorial interpretations of cluster variables using brane tilings, as from the physics literature.
In-Jee Jeong +2 more
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Rhombic Tilings and Primordia Fronts of Phyllotaxis [PDF]
, 2017 We introduce and study properties of phyllotactic and rhombic tilings on the cylin- der. These are discrete sets of points that generalize cylindrical lattices.
Atela, Pau, Gole, Christophe
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Discrete Mathematics, 2000 The authors investigate several possibilities to dissect a convex pentagon into smaller pentagons. In Theorem 1, they show that a convex pentagon \(P\) can always be dissected into \(n\) pentagons which form an edge-to-edge tiling of \(P\), for any \(n\geq 6\). An edge-to-edge tiling of a pentagon \(P\) is called cubic if every vertex of the tiling has
Ren Ding +2 more
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Arctic octahedron in three-dimensional rhombus tilings and related integer solid partitions
, 2002 Three-dimensional integer partitions provide a convenient representation of codimension-one three-dimensional random rhombus tilings. Calculating the entropy for such a model is a notoriously difficult problem.
Bailly, F. +3 more
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THE CHARACTER OF PLANAR TESSELLATIONS WHICH ARE NOT SIDE-TO-SIDE
Image Analysis and Stereology, 2014 This paper studies stationary tessellations and tilings of the plane in which all cells are convex polygons. The focus is on the class of tessellations which are not side-to-side.
Richard Cowan, Christoph Thäle
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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
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Doubly Semiequivelar Maps on Torus and Klein Bottle
Journal of Mathematics, 2020 A tiling of the Euclidean plane, by regular polygons, is called 2-uniform tiling if it has two orbits of vertices under the action of its symmetry group. There are 20 distinct 2-uniform tilings of the plane.
Anand K. Tiwari +3 more
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Meadows in the Heptgrid and Possible Generalizations [PDF]
Computer Science Journal of MoldovaIn this paper, we summarize the results about flowers in the heptagrid, the tessellation $(7,3)$ of the hyperbolic plane, results presented for MCU'2024 at Nice, France.
Maurice Margenstern
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