

Orbifold
Orbifold In topology and group theory, an orbifold (for "orbitmanifold") is a generalization of ... space (called an underlying space) with an orbifold structure (see below). The underlying space locally ... of isometries. In string theory, the word "orbifold" has additional meaning, discussed below. The main ... particular a manifold with boundary carries natural orbifold structure, since it is Z 2  ...
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Orbifold (translated from Spanish)
Orbifold In topología , orbifold (or Vvariety; expression that, lamentably, nobody ... called underlying space) with a structure of orbifold (it see down). The underlying space locally ... with edge takes a natural structure of orbifold, since it is Z 2  factor of ... action without fixed points takes structure of orbifold (this one is not a particular ...
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Talk:Orbifold
Talk:Orbifold The stub is mathematically incorrect. What it describes is the socalled "good" orbifold, but there are bad ones also. Be ... to diffeomorphsm it will give the same orbifold, but the def will become mor complecated ...
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Conway's orbifold notation
Conway's orbifold notation To meet Wikipedia's quality standards ... article or section may require cleanup. The orbifold notation is a mathematical notation invented by ... groups properties, in particular it describes the orbifold obtained by taking the quotient of Euclidean ... can occur in a group described by orbifold notation. reflections through a line(or plane ... of the group symmetries being described. The orbifold notation works in the following way: ...
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Wallpaper group
... p4, and p6. Conway notation Conway's orbifold notation for wallpaper groups, introduced by John ... of the plane into its essence, an orbifold, then describe that with a few symbols ... implicit in the other symmetries of the orbifold. Conway and crystallographic correspondence Conway o xx ... Why there are exactly seventeen groups An orbifold has a face, edges, and vertices; thus ... wallpaper symmetry group. Thus when Conway's orbifold notation mentions a feature, such as ...
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Even crystallographic group (translated from German)
... more copies of the elementary cell. Notation Orbifold notation The characteristics of a group of ... 14:58, 22. July 2005 (CEST) Group Orbifold notation Translation cell (z.B.) Elementary cells ... mirror       Classes of symmetry elements in P1 Orbifold notation: O1. This group possesses only shift ... 4      Classes of symmetry elements in p2 Orbifold notation: 2222. This group has four classes ... 2  Classes of symmetry elements in pm Orbifold notation: **. This group has two to ...
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Talk:Wallpaper group
... 30 28 June 2005 17:23 (UTC) orbifold notation examples Hi KSmrq, are you sure the "cmm" example for the orbifold notation is correct? I find that after ... 2, as is required for a wallpaper orbifold. In fact, I've been contemplating filling ... It might be nice to depict an orbifold instead of a fundamental region, but that ... When I filled in the section on orbifold notation, I used the spelling "center". ...
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User talk:Patrick/January  October 2005
... should just be the "diagrammatic" versions, plus orbifold notation etc. Basically to make the list ... the diagram to the right and the orbifold notation 442 indicate two nonisomorphic 4 ... might be a typo, but in p4m, orbifold *442, you again say "There are two ... 21, 11 October 2005 (UTC) Conway's orbifold notation Do you think that this might ... seriously misleading or just wrong: "Conway's orbifold notation, introduced by John Conway, applies ...
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Point groups in three dimensions
... is used, and, in parentheses, Conway's orbifold notation; the latter is not only conveniently ... D 5d (symmetries like antiprisms). Relation between orbifold notation and order The order of each group is 2 divided by the orbifold Euler characteristic; the latter is 2 minus ... is 2, giving an infinite order; see orbifold Euler characteristic for wallpaper groups Rotation groups ...
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Twisted sector
... in a particular theory over a (good) orbifold. In the first quantized formalism of string ... field theory) the target space is an orbifold M/G if the observables of the ... the different sectors give rise to different orbifold projections .
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