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Angle of 0° or 180° (degenerate case)

Two non-adjacent sides are on the same line

Equilateral polygon: a polygon whose sides are equal (Williams 1979, pp. 31-32)

Equiangular polygon: a polygon whose vertex angles are equal (Williams 1979, p. 32)

A triangle is equilateral iff it is equiangular.

An equilateral quadrilateral is a rhombus, an equiangular quadrilateral is a rectangle or an "angular eight" with vertices on a rectangle.