Names for symmetry groups and orbifolds (Geometry and the Imagination)
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|Conway, Doyle, Gilman, Thurston; The Geometry Center|
|A symmetry group is the collection of all symmetry operations of a pattern. We give the same names to symmetry groups as to the corresponding quotient orbifolds, regarding every orbifold as obtained from a sphere by adding cone-points, mirror boundaries, handles, and cross-caps. The major part of the notation enumerates the orders of the distinct cone points, and then the types of all the different mirror boundaries.|
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