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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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| Levels: | Middle School (6-8), High School (9-12), College |
| Languages: | English |
| Resource Types: | Lesson Plans and Activities, Dictionaries, Glossaries, Thesauri |
| Math Topics: | Symmetry/Tessellations |
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