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Unformatted text preview: 2 are any two symmetries, then their composition product 1 2 is also a symmetry; and if the symmetries 1 and 2 are implemented by matrices F 1 and F 2 , then 1 2 is implemented by the matrix product F 1 F 2 . So we can look for other symmetries by examining products of the matrices implementing the known symmetries. We have 14 matrices, so we can compute a lot of products before nding something new. If you are lucky, after a bit of trial and error you will discover that the combinations to try are powers of R multiplied by the reection matrix J r :...
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This note was uploaded on 12/15/2011 for the course MAC 1105 taught by Professor Everage during the Fall '08 term at FSU.
 Fall '08
 EVERAGE
 Algebra, Addition

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