The Platonic Graphs

The following regular solids are called the Platonic solids:

Tetrahedron

 

Hexahedron (cube)

 

Octahedron

 

Dodecahedron

 

Icosahedron

The name Platonic arises from the fact that these five solids were mentioned in Plato's Timaeus. A Platonic graph is obtained by projecting the corresponding solid on to a plane.