There
are five and only five regular convex polyhedra. They are known as Platonic
figures, after Plato, who became famous for his elaboration on them, although
was not the first one to deal with them.

Each
regular polyhedron possesses perfect symmetry as well many other interesting
properties. In addition their are mutual relationships between pairs of
them and many other interconnections exist among them. The set of
Platonic figures have sparked the imagination of generations of scientists
and artists such as Euclid, Kepler, Coxeter, Buckminster Fuller, Escher
and many others.