Question

Show that the symmetry group for a regular $n$-gon must be finite.

   Show that the symmetry group for a regular $n$-gon must be finite.

Exploring Geometry

Exploring Geometry

Michael Hvidsten 2nd Edition

Chapter 6, Problem 4

Instant Answer

Step 1

The symmetry group of a geometric figure is the set of all transformations that map the figure onto itself while preserving the structure of the figure. For a regular $n$-gon, these transformations include rotations and reflections that leave the $n$-gon looking Show more…

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Show that the symmetry group for a regular $n$-gon must be finite.

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