Academic literature on the topic 'Spherical tilings'

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Journal articles on the topic "Spherical tilings"

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AVELINO, CATARINA P., and ALTINO F. SANTOS. "DEFORMATION OF F-TILINGSVERSUSDEFORMATION OF ISOMETRIC FOLDINGS." International Journal of Mathematics 23, no. 09 (2012): 1250092. http://dx.doi.org/10.1142/s0129167x12500929.

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We present some relations between deformation of spherical isometric foldings and deformation of spherical f-tilings. The natural way to deform f-tilings is based on the Hausdorff metric on compact sets. It is conjectured that any f-tiling is (continuously) deformable in the standard f-tiling τs= {(x, y, z) ∈ S2: z = 0} and it is shown that the deformation of f-tilings does not induce a continuous deformation on its associated isometric foldings.
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Escudero, Juan Garcia. "Deltoid Tangents with Evenly Distributed Orientations and Random Tilings." Journal of Geometry and Symmetry in Physics 65 (March 30, 2023): 1–39. http://dx.doi.org/10.7546/jgsp-65-2023-1-39.

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We study the construction of substitution tilings of the plane based on certain simplicial configurations of tangents of the deltoid with evenly distributed orientations. The random tiling ensembles are obtained as a result of tile rearrangements in the substitution rules associated to edge flips. Special types of random tilings for Euclidean, spherical and hyperbolic three-manifolds are also considered.
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Max, Nelson. "Constructing and Visualizing Uniform Tilings." Computers 12, no. 10 (2023): 208. http://dx.doi.org/10.3390/computers12100208.

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This paper describes a system which takes user input of a pattern of regular polygons around one vertex and attempts to construct a uniform tiling with the same pattern at every vertex by adding one polygon at a time. The system constructs spherical, planar, or hyperbolic tilings when the sum of the interior angles of the user-specified regular polygons is respectively less than, equal to, or greater than 360∘. Other works have catalogued uniform tilings in tables and/or illustrations. In contrast, this system was developed as an interactive educational tool for people to learn about symmetry
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Escudero, Juan García. "Random tilings of spherical 3-manifolds." Journal of Geometry and Physics 58, no. 11 (2008): 1451–64. http://dx.doi.org/10.1016/j.geomphys.2008.05.015.

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Ribeiro, Patrícia, A. M. d. Azevedo Breda, and Robert Dawson. "Spherical f-Tilings by Two Noncongruent Classes of Isosceles Triangles." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 3 (2016): 5992–6014. http://dx.doi.org/10.24297/jam.v12i3.484.

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The study of spherical dihedral f-tilings when the prototiles are twononcongruent isosceles triangles was started in two previous papers. Here,we complete the classication, characterizing the f-tilings that satisfy theremaining case of adjacency. As it will be shown, this class is composed bytwo three-parameter families denoted by An;m; and Bn;m; and a relatedfour-parameter family denoted by Bp;q;p′;q′, where p > p′ 0; q′> q 0;two isolated tilings denoted by P and Q; and six distinct discrete familiesdenoted by J k;Lk; Mk;Nk(k 3); and Fk;Kk with k 4.
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Panina, G. Yu. "Pointed spherical tilings and hyperbolic virtual polytopes." Journal of Mathematical Sciences 175, no. 5 (2011): 591–99. http://dx.doi.org/10.1007/s10958-011-0374-y.

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Altino F. Santos. "A New Metric on Spherical f-Tilings." American Mathematical Monthly 122, no. 4 (2015): 354. http://dx.doi.org/10.4169/amer.math.monthly.122.04.354.

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d’Azevedo Breda, A. M., Patrícia S. Ribeiro, and Altino F. Santos. "A class of spherical dihedral f-tilings." European Journal of Combinatorics 30, no. 1 (2009): 119–32. http://dx.doi.org/10.1016/j.ejc.2008.02.010.

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Konevtsova, O. V., V. L. Lorman, and S. B. Rochal. "Structures of spherical viral capsids as quasicrystalline tilings." Physics of the Solid State 57, no. 4 (2015): 810–14. http://dx.doi.org/10.1134/s1063783415040125.

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Castle, Toen, Myfanwy E. Evans, Stephen T. Hyde, Stuart Ramsden, and Vanessa Robins. "Trading spaces: building three-dimensional nets from two-dimensional tilings." Interface Focus 2, no. 5 (2012): 555–66. http://dx.doi.org/10.1098/rsfs.2011.0115.

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We construct some examples of finite and infinite crystalline three-dimensional nets derived from symmetric reticulations of homogeneous two-dimensional spaces: elliptic ( S 2 ), Euclidean ( E 2 ) and hyperbolic ( H 2 ) space. Those reticulations are edges and vertices of simple spherical, planar and hyperbolic tilings. We show that various projections of the simplest symmetric tilings of those spaces into three-dimensional Euclidean space lead to topologically and geometrically complex patterns, including multiple interwoven nets and tangled nets that are otherwise difficult to generate ab in
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Dissertations / Theses on the topic "Spherical tilings"

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Santos, José Manuel dos Santos dos. "Spherical tilings, GeoGebra contributions to their combinatorial and geometrical classification." Doctoral thesis, 2019. http://hdl.handle.net/10400.2/8385.

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Tese de Doutoramento em Álgebra Computacional em associação com a Faculdade de Ciências e Tecnologia da Universidade de Coimbra, apresentada à Universidade Aberta<br>O objectivo desta tese é de dar um contributo à classificação de pavimentações da esfera, revelando e caracterizando geométrica e combinatoriamente novas famílias. Para realizar este trabalho, partimos do conhecimento teórico existente neste tema e recorremos ao software GeoGebra, usando as suas funcionalidades de geometria interativa e de cálculo algébrico e simbólico, contruindo novas ferramentas especificamente concebidas p
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Book chapters on the topic "Spherical tilings"

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Lang, Robert J. "Spherical Vertices." In Twists, Tilings, and Tessellations. A K Peters/CRC Press, 2017. http://dx.doi.org/10.1201/9781315157030-8.

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Conference papers on the topic "Spherical tilings"

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Engel, Michael, and Marco Körner. "Sentinel-2 Tiling Scheme Grid-Overlay for Efficient I/O-Operations Based on Spherical Voronoi Polygons and Local Optimization." In IGARSS 2024 - 2024 IEEE International Geoscience and Remote Sensing Symposium. IEEE, 2024. http://dx.doi.org/10.1109/igarss53475.2024.10640984.

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Li, Zhijun, Yumei Wang, and Yu Liu. "SAD360: Spherical Viewport-Aware Dynamic Tiling for 360-Degree Video Streaming." In 2022 IEEE International Conference on Visual Communications and Image Processing (VCIP). IEEE, 2022. http://dx.doi.org/10.1109/vcip56404.2022.10008862.

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