The TetrahedronGraph command creates the tetrahedron graph (the complete graph) on 4 vertices. As an option, you may input the labels of the vertices as a set or list of size 4.

The OctahedronGraph command creates the octahedron graph on 6 vertices. As an option, you may input the labels of the vertices as a set or list of size 6.

The DodecahedronGraph command creates the dodecahedron graph on 20 vertices. A dodecahedron is a 3-regular and 12-faced planar graph. As an option, you may input the labels of the vertices as a set or list of size 20.

The IcosahedronGraph command creates the icosahedron graph on 12 vertices. An icosahedron is a 5-regular and 20-faced planar graph. As an option, you may input the labels of the vertices as a set or list of size 12.