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257 is a Fermat prime, and the 257-gon is therefore a constructible polygon using compass and straightedge, as proved by Gauss. An illustration of the 257-gon is not included ...

A simple polygon with precisely two ears and one mouth.

A random polygon containing the origin (Kovalenko 1999).

A polygon whose vertex angles are equal (Williams 1979, p. 32).

Except for convex polygons, every simple polygon has at least one mouth.

A random polygon is a polygon generated in some random way. Kendall conjectured that the shape of a random polygon is close to a disk as the area of the polygon becomes large ...

A conformal mapping from the upper half-plane to a polygon.

The edge of a polygon or face of a polyhedron are sometimes called sides.

Except for triangles, every simple polygon has at least two nonoverlapping ears.

The regular polygon of 17 sides is called the heptadecagon, or sometimes the heptakaidecagon. Gauss proved in 1796 (when he was 19 years old) that the heptadecagon is ...