Regular polyhedra

A convex polyhedron is called regular if its faces are regular polygons with the same number of sides, and the same number of edges converge at each vertex of the polyhedron.

Regular polyhedra are called Platonic solids.

There are five types of regular convex polyhedra:

For simple bodies, the volume is:

a). the value is non-negative;

b). if the body is divided into parts that are simple bodies, then the volume of this body is equal to the sum of the volumes of its non-overlapping parts;

c). the volume of a cube whose edge is equal to one is equal to one.

The volumes of two similar bodies are related as cubes of their respective linear dimensions.