# Cube octahedron

Cube octahedron (Cuboctahedron) or vector equilibrium health is a half regular polyhedron, kind of the legitimation polyhedron and is the solid that cut off each top of a regular hexahedron or the regular octahedron to the center of the side.

## Characteristic

• A constitution side: Eight pieces of equilateral triangles, square six pieces
• A side: 24
• A top: Two pieces of equilateral triangles and two pieces of squares gather in each 12 tops in turn.
• 双対多面体 Lozenge cuproid
• ワイソフ sign： 2 | 3 4 or 3 3 | 2
• Surface area: One side${\displaystyle a}$ とすると ${\displaystyle S=(6+2{\sqrt {3}}) a^{2}}$
• A volume: One side${\displaystyle a}$ とすると ${\displaystyle V={5{\sqrt {2}} \over {3}}a^{3}}$
• A circumscription ball radius: When assume one side 2; 2
• A star-shaped number: 18 (only as for the surface…10, use of back side…8)

The cube octahedron dice (chamfering)