Think back to the flat hexagonal plate mentioned earlier. Its twelve rotational symmetries combine in the natural way to form a group. For each positive integer n greater than or equal to three we can manufacture a plate which has n equal sides. In this way we produce a family of symmetry groups which are not commutative, the so-called dihedral groups.
KeywordsSymmetry Group Rotational Symmetry Finite Order Dihedral Group Multiplication Table
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