Definition:Cuboctahedron

Definition

Definition 1

A cuboctahedron is a polyhedron formed by truncating a cube so that the vertices lie at the midpoints of the edges of the cube.

Definition 2

A cuboctahedron is a polyhedron formed by truncating an octahedron so that the vertices lie at the midpoints of the edges of the octahedron.

The cuboctahedron is one of the Archimedean polyhedra.

It has $14$ faces, $12$ vertices and $24$ edges.

Also see

• Equivalence of Definitions of Cuboctahedron

• Results about cuboctahedra can be found here.

Linguistic Note

The plural of cuboctahedron is cuboctahedra.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cuboctahedron (plural cuboctahedra)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cuboctahedron (plural cuboctahedra)