• Thumbnail for Orbifold
    me. It was obtained by a democratic process in my course of 1976–77. An orbifold is something with many folds; unfortunately, the word "manifold" already...
    78 KB (10,240 words) - 18:02, 26 July 2024
  • In geometry, orbifold notation (or orbifold signature) is a system, invented by the mathematician William Thurston and promoted by John Conway, for representing...
    19 KB (1,192 words) - 11:34, 2 August 2024
  • Thumbnail for Wallpaper group
    wallpaper group; it is called p4m in the IUCr notation and *442 in the orbifold notation. Example C has a different wallpaper group, called p4g or 4*2...
    65 KB (6,483 words) - 06:41, 23 July 2024
  • S 1 {\displaystyle S^{1}} -bundle (circle bundle) over a 2-dimensional orbifold. Many 3-manifolds are Seifert fiber spaces, and they account for all compact...
    19 KB (3,040 words) - 11:33, 7 November 2023
  • Coxeter group [7,3], orbifold (*732) contains these uniform tilings: The (8 3 2) triangle group, Coxeter group [8,3], orbifold (*832) contains these...
    30 KB (1,586 words) - 13:40, 31 July 2024
  • In differential geometry, the Euler characteristic of an orbifold, or orbifold Euler characteristic, is a generalization of the topological Euler characteristic...
    3 KB (370 words) - 01:22, 25 June 2024
  • Thumbnail for Uniform tiling symmetry mutations
    fundamental domains between two symmetry groups. They are compactly expressed in orbifold notation. These mutations can occur from spherical tilings to Euclidean...
    5 KB (157 words) - 21:56, 12 December 2023
  • Thumbnail for William Thurston
    respectively. In his work on hyperbolic Dehn surgery, Thurston realized that orbifold structures naturally arose. Such structures had been studied prior to Thurston...
    22 KB (2,166 words) - 07:51, 28 July 2024
  • Thumbnail for Triclinic crystal system
    point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table below. There are a total...
    3 KB (262 words) - 13:43, 7 July 2024
  • Stacky curve (redirect from Orbifold curve)
    Stacky curves are closely related to 1-dimensional orbifolds and therefore sometimes called orbifold curves or orbicurves. A stacky curve X {\displaystyle...
    5 KB (497 words) - 03:00, 1 March 2024