A number of attractive 8-compounds of the regular
tetrahedron can be constructed.

The compounds illustrated above are implemented in the Wolfram Language as `PolyhedronData`[`"TetrahedronEightCompound"`,
*n*]
for ,
..., 4.

These tetrahedron 8-compounds are illustrated above together with their duals
and common midspheres.

The common solids and convex hulls are illustrated
above.

## See also

Polyhedron Compound,

Regular
Tetrahedron
## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Tetrahedron 8-Compound."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Tetrahedron8-Compound.html

## Subject classifications