The faces project onto regular spherical polygons which exactly cover the sphere.
For regular polygons, the radius is the same as its circumradius.
This center is also the center of the regular polygon.
A pentagon cannot appear in any tiling made by regular polygons.
If the lengths of the sides are also equal then it is a regular polygon.
The area of a regular polygon is half its perimeter times the apothem.
The uniform polytopes in two dimensions are the regular polygons.
A circle is greater than any regular polygon of equal contour.
These properties apply to all regular polygons, whether convex or star.
Like with the regular polygon, there are certain kinds of symmetries.
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