K_2,2,2

Other name:    octahedron   

Statistics

It has degree 4, with 6 vertices and 12 edges.
It has girth 3, diameter 2 and radius 2.
Its symmetry group has 48 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.
Its distance-list is 1,4,1.

Regular maps

K_2,2,2 is the skeleton of the octahedron
K_2,2,2 is the skeleton of N4:{6,4}₃
K_2,2,2 is the skeleton of S2:{3,8} with muliplicity 2
K_2,2,2 is the skeleton of N16.7′ with muliplicity 2
K_2,2,2 is the skeleton of S4:{3,12} with muliplicity 3

Dual graphs

K_2,2,2 is the dual of cubic graph in the plane

Lists of Graphs
Index to Regular Maps