• 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...
    6 KB (835 words) - 09:52, 27 August 2024
  • In mathematics, quasiregular may refer to: Quasiregular element, in the context of ring theory Quasiregular map in analysis Quasiregular polyhedron, in...
    292 bytes (65 words) - 21:30, 7 January 2012
  • addresses the notion of quasiregularity in the context of ring theory, a branch of modern algebra. For other notions of quasiregularity in mathematics, see...
    12 KB (1,658 words) - 23:04, 28 January 2024
  • image analysis, computer vision and graphics. Isothermal coordinates Quasiregular map Pseudoanalytic function Teichmüller space Tissot's indicatrix Ahlfors...
    11 KB (1,323 words) - 17:40, 25 July 2024
  • functions, holomorphic curves, holomorphic maps between complex manifolds of arbitrary dimension, quasiregular maps and minimal surfaces. This article describes...
    17 KB (2,603 words) - 12:55, 4 May 2023
  • hemipolyhedra occur in pairs as facetings of the quasiregular polyhedra with four faces at a vertex. These quasiregular polyhedra have vertex configuration m.n...
    14 KB (855 words) - 10:30, 24 September 2024
  • Thumbnail for Jacobson radical
    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...
    25 KB (2,879 words) - 14:28, 15 September 2024
  • Thumbnail for Hexagonal tiling
    every vertex. A third complex apeirogon, sharing the same vertices, is quasiregular, which alternates 2-edges and 6-edges. Wikimedia Commons has media related...
    16 KB (1,286 words) - 02:05, 27 September 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is...
    33 KB (2,200 words) - 03:59, 24 July 2024
  • Thumbnail for Isohedral figure
    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...
    16 KB (678 words) - 04:06, 30 August 2024
  • is also called trigonal antiprism. Therefore, it has the property of quasiregular, a polyhedron in which two different polygonal faces are alternating...
    36 KB (3,630 words) - 23:38, 23 September 2024
  • Thumbnail for Symmetric graph
    symmetric graphs are formed by the vertices and edges of the regular and quasiregular polyhedra: the cube, octahedron, icosahedron, dodecahedron, cuboctahedron...
    11 KB (1,158 words) - 12:55, 15 May 2023
  • Thumbnail for Polyhedron
    Then in the 10th century Abu'l Wafa described the convex regular and quasiregular spherical polyhedra. As with other areas of Greek thought maintained...
    91 KB (10,173 words) - 14:05, 5 October 2024
  • analysis. His main topics of interest include geometric function theory, quasiregular and quasiconformal mappings, computational potential theory, and generalized...
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  • cobordism hypothesis. Fundamental representation Permutation representation Quasiregular representation Fulton, William; Harris, Joe (1991). Representation theory...
    10 KB (1,557 words) - 11:21, 11 January 2024
  • Conway for clarity of concatenated prefix numbers in the naming of quasiregular polyhedra, though not all sources use it. Polygons have been known since...
    37 KB (4,296 words) - 15:42, 8 October 2024
  • hosohedron and a dihedron. All of these have Euler characteristic 2. Quasiregular polyhedron Semiregular polyhedron Uniform polyhedron Regular polytope...
    32 KB (3,126 words) - 07:45, 29 July 2024
  • Thumbnail for Rhombic triacontahedron
    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...
    11 KB (1,040 words) - 11:44, 10 July 2024
  • Thumbnail for Laves graph
    Omar M. (December 2002), "Three-periodic nets and tilings: regular and quasiregular nets" (PDF), Acta Crystallographica Section A: Foundations of Crystallography...
    23 KB (2,807 words) - 06:51, 24 September 2024
  • 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...
    2 KB (196 words) - 01:26, 8 April 2024
  • 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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  • Thumbnail for Order-4 hexagonal tiling
    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...
    6 KB (389 words) - 21:52, 12 December 2023
  • Thumbnail for Rhombic dodecahedron
    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...
    24 KB (2,455 words) - 11:04, 22 September 2024
  • Thumbnail for Chiral polytope
    not symmetric enough to meet the formal definition of chirality. The quasiregular polyhedra and their duals, such as the cuboctahedron and the rhombic...
    6 KB (629 words) - 22:09, 29 June 2024
  • 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...
    8 KB (817 words) - 05:51, 3 April 2024
  • Alex Eskin, Billiards and lattices Juha Heinonen, On the existence of quasiregular mappings Bennett Chow, Harnack estimates of Li–Yau–Hamilton type for...
    27 KB (2,867 words) - 16:10, 17 February 2024
  • Thumbnail for 3-7 kisrhombille
    subgroup is the alternation, [7,3]+, (732). Three isohedral (regular or quasiregular) tilings can be constructed from this tiling by combining triangles:...
    5 KB (357 words) - 21:54, 12 December 2023