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31 Jan 2019
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Instructions: clearly answer each of the questions below. Remember to check the back side if blank, you can use it for scrap work. Show your work and any formulas you employ. In the problems below, assume that set g forms a group under the operation . Math 311, quiz 7: considering the pentagon below, determine which permutations represent symmetry transforma- tions in atland (2 dimensions), sphereland (3 dimensions), or are not a symmetry transfor- mation of the labelled pentagon. Note that everything that is a symmetry in 2 dimensions is also a symmetry in 3 dimensions. 1 2 3 4 5(cid:19) (a) (cid:18)1 2 3 4 5. 1 2 4 3 5(cid:19) (b) (cid:18)1 2 3 4 5. 5 4 3 2 1(cid:19) (c) (cid:18)1 2 3 4 5. 3 2 4 5 1(cid:19) (d) (cid:18)1 2 3 4 5. 5 1 2 3 4(cid:19) (e) (cid:18)1 2 3 4 5.

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