Definition:Platonic Graph

Definition
The Platonic graphs are a set of graphs representing the edges and vertices of the five Platonic solids.

Tetrahedron


The graph of the tetrahedron is $3$-regular.

Octahedron


The graph of the octahedron is $4$-regular.

Cube


The graph of the cube is $3$-regular.

Icosahedron


The graph of the icosahedron is $5$-regular.

Dodecahedron


The graph of the dodecahedron is $3$-regular.