Definition:Platonic Graph
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Definition
The Platonic graphs are a set of graphs representing the edges and vertices of the five Platonic solids.
Tetrahedron
The graph of the regular tetrahedron is $3$-regular.
Octahedron
The graph of the regular octahedron is $4$-regular.
Cube
The graph of the cube is $3$-regular.
Icosahedron
The graph of the regular icosahedron is $5$-regular.
Dodecahedron
The graph of the regular dodecahedron is $3$-regular.
Also see
- Results about platonic graphs can be found here.