Laine V.

asked • 12/18/20

How many symmetry groups does a regular octagon have?

A square has 8 symmetries and I was wondering how you would find the amount of symmetries for an octagon. This is Euclidean geometry.

Mark M.

You could draw a regular octagon and investigate.
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12/18/20

Brenda D.

tutor
Agreed. You can always look up the definitions for Regular Polygons as well.
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12/18/20

Stanton D.

Symmetry group is the term for the total assemblage of symmetry elements (operations). Anyway, a square has 10 in space? 4 reflection planes through opposite corners or through opposite centers of sides, 4 C2 rotation axes, one C4 rotation axis (perpendicular to the square plane), one center of inversion -- I guess the reflection plane in the plane of the figure is trivial? -- Cheers, --Mr. d.
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12/18/20

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