There are a number of attractive polyhedron compounds
consisting of 12 octahedra.

This compound is implemented in the Wolfram Language as `PolyhedronData`[`"OctahedronTenCompound"`,
1].

These octahedron 12-compounds are illustrated above together with their cube
12-compound duals and common midspheres.

The common solids and convex hulls of these compounds
are illustrated above.

## See also

Cube 12-Compound,

Polyhedron
Compound,

Regular Octahedron
## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Octahedron 12-Compound."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Octahedron12-Compound.html

## Subject classifications