1. (a) Name the symmetry groups of the following two planar shapes, and state in each case the or...

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1. (a) Name the symmetry groups of the following two planar shapes, and state in each case the order of the group and whether

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Answer 1

Answer #1

The symmetry group of a hexagon is the Dihedral group D_6.

Therefore the symmetry group of the figure (i) is D₆ orDihedral group with order 2 × 6. It is a non-abelian group.

The symmetry group of the figure (ii) is D₃ and It is a non-abelian group.

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Answer 2

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