A regular polyhedron is a polyhedron such that
These polyhedra are also known as Platonic solids, since Plato described them in his work. There are only 5 regular polyhedra, as was first shown by Theaetetus, one of Plato’s students. Some sources ascribe to Theaetetus also the discovery of the dodecahedron.
The five solids are:
- Regular Tetrahedron
- Regular Hexahedron
Also known as cube. It has 8 vertices, 12 edges and 6 faces each one being a square. Its symmetry group is .
- Regular Octahedron
It has 6 vertices, 12 edges and 8 faces, each one being an equilateral triangle Its symmetry group is .
- Regular Dodecahedron
It has 20 vertices, 30 edges and 12 faces, each one being a regular pentagon. Its symmetry group is .
- Regular Icosahedron
It has 12 vertices, 30 edges and 20 faces, each one being an equilateral triangle. Its symmetry group is .
|Date of creation||2013-03-22 12:24:17|
|Last modified on||2013-03-22 12:24:17|
|Last modified by||mathwizard (128)|