There are a number of attractive polyhedron compounds consisting of nine octahedra. The compound illustrated above can be constructed as
the dual of cube 9-compound .

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

These octahedron 9-compounds are illustrated above together with their cube
9-compound duals and common midspheres .

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

See also Cube 9-Compound ,

Polyhedron
Compound ,

Regular Octahedron
Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Octahedron 9-Compound."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/Octahedron9-Compound.html

Subject classifications