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.