Unformatted text preview: A 5 ² Z 2 . Show that this group is not isomorphic to S 5 . 4.5.3. Show that the full symmetry group of the tetrahedron is S 4 . 4.5.4. What is the full symmetry group of a brick? 4.5.5. What is the full symmetry group of a square tile? 4.5.6. What is the full symmetry group of a tile in the shape of a regular n –gon?...
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 Fall '08
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 Algebra, Ri, Symmetry group

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