The number of edges in a regular polyhedron is the same as the number of faces, forming a regular polytope. The Schläfli symbol for a regular polyhedron is “”.

In contrast, a compound of n separate polygons with equal angles (a polygon) is a simple polyhedron. The compound of n separate polygons with unequal angles is called an obtuse or elongated trapezium.

The compound of n separate polygons with equal angles and unequal sides (a rhombohedron) is an acute triangular prism.

A compound of n separate polygons with unequal angles (an acute triangle) is an obtuse triangular antiprism.

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Last modified: September 19, 2022