In the mathematical field of analysis, quasiregular maps are a class of continuous maps between Euclidean spaces Rn of the same dimension or, more generally...
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In mathematics, quasiregular may refer to: Quasiregular element, in the context of ring theory Quasiregular map in analysis Quasiregular polyhedron, in...
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functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregular maps and minimal surfaces. This article describes...
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addresses the notion of quasiregularity in the context of ring theory, a branch of modern algebra. For other notions of quasiregularity in mathematics, see...
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Quasiconformal mapping (redirect from Quasiconformal map)
image analysis, computer vision and graphics. Isothermal coordinates Quasiregular map Pseudoanalytic function Teichmüller space Tissot's indicatrix Ahlfors...
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hemipolyhedra occur in pairs as facetings of the quasiregular polyhedra with four faces at a vertex. These quasiregular polyhedra have vertex configuration m.n...
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edge-transitive (i.e. isotoxal) is said to be a quasiregular dual. Some theorists regard these figures as truly quasiregular because they share the same symmetries...
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the J(R) is necessarily quasiregular, not every quasiregular element is necessarily a member of J(R). While not every quasiregular element is in J(R), it...
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The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is...
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Conway for clarity of concatenated prefix numbers in the naming of quasiregular polyhedra, though not all sources use it. Polygons have been known since...
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cobordism hypothesis. Fundamental representation Permutation representation Quasiregular representation Fulton, William; Harris, Joe (1991). Representation theory...
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symmetric graphs are formed by the vertices and edges of the regular and quasiregular polyhedra: the cube, octahedron, icosahedron, dodecahedron, cuboctahedron...
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Rhombic dodecahedron (category Quasiregular polyhedra)
for storing and manipulating maps of the cosmic microwave background, and in computer graphics for storing environment maps. The collections of the Louvre...
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colors or orientations), the octahedron can be considered a type of quasiregular polyhedron, a polyhedron in which two different types of polygonal faces...
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analysis. His main topics of interest include geometric function theory, quasiregular and quasiconformal mappings, computational potential theory, and generalized...
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every vertex. A third complex apeirogon, sharing the same vertices, is quasiregular, which alternates 2-edges and 6-edges. Wikimedia Commons has media related...
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hosohedron and a dihedron. All of these have Euler characteristic 2. Quasiregular polyhedron Semiregular polyhedron Uniform polyhedron Regular polytope...
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polyhedron that is vertex-transitive and edge-transitive is said to be quasiregular; they have regular faces, and their duals are face-transitive and edge-transitive...
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Rhombic triacontahedron (category Quasiregular polyhedra)
Stellations of Rhombic Triacontahedron EarthStar globe – Rhombic Triacontahedral map projection IQ-light—Danish designer Holger Strøm's lamp Make your own Archived...
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MR 1460032. Lagarias, J. C. (1996), "Meyer's concept of quasicrystal and quasiregular sets", Communications in Mathematical Physics, 179 (2): 365–376, Bibcode:1996CMaPh...
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manner. List of polygons, all of which have regular forms Chiral polytope Quasiregular polytope Semiregular polytope Johnson solid Bartel Leendert van der Waerden...
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was conjectured by M. A. Lavrentev in 1938. Every locally homeomorphic quasiregular mapping f : R n → R n {\displaystyle f:R^{n}\rightarrow R^{n}} for n...
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Order-4 hexagonal tiling (section Regular maps)
and Coxeter diagrams while three of them are undercolorings. The regular map {6,4}3 or {6,4}(4,0) can be seen as a 4-coloring on the {6,4} tiling. It...
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not symmetric enough to meet the formal definition of chirality. The quasiregular polyhedra and their duals, such as the cuboctahedron and the rhombic...
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Alex Eskin, Billiards and lattices Juha Heinonen, On the existence of quasiregular mappings Bennett Chow, Harnack estimates of Li–Yau–Hamilton type for...
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subgroup is the alternation, [7,3]+, (732). Three isohedral (regular or quasiregular) tilings can be constructed from this tiling by combining triangles:...
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Omar M. (December 2002), "Three-periodic nets and tilings: regular and quasiregular nets" (PDF), Acta Crystallographica Section A: Foundations of Crystallography...
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arXiv:0804.0135. (See page 3.) Heinonen, Juha (2003). "The branch set of a quasiregular mapping by Juha Heinonen". Proceedings of the ICM, Beijing 2002. Vol...
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