# 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 C4:{6,4}_{3}

K_{2,2,2} is the skeleton of N16.7′ with muliplicity 2

K_{2,2,2} is the skeleton of S2:{3,8} 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