In theory, almost any material may be used to construct regular polyhedra.

The most famous regular polyhedra are the five Platonic solids.

They can all be constructed by cantellating regular polyhedra.

By the end of the 19th century there were therefore nine regular polyhedra - five convex and four star.

The outer protein shells of many viruses form regular polyhedra.

In 3 dimensions there are 5 regular polyhedra known as the Platonic solids.

It is a classical result that there are only five convex regular polyhedra.

There are no degrees of freedom, and it represents a fixed geometric, just like the regular polyhedra.

Besides the regular polyhedra, there are many other examples.

For regular polyhedra, a bitruncated form is the truncated dual.