Cube 25-Compound


There are a number of attractive cube 25-compounds. One can be constructed from the vertices of the second dodecahedron 6-compound (or second tetrahedron 50-compound) and another from the vertices of the first tetrahedron 50-compound.

The compounds illustrated above are implemented in the Wolfram Language as PolyhedronData["CubeTwentyFiveCompound", n] for n=1, ..., 4.

The vertices of the first cube 25-compound lead to attractive an attractive dodecahedron 6-compound, cube 6-compound, and tetrahedron 50-compound, while the second lead to a cube 25-compound and tetrahedron 50-compound (E. Weisstein, Aug. 30, 2023).


The cube 25-compounds are illustrated above together with thier octahedron 25-compound duals and common midspheres.


The common solids and convex hulls are unnamed polyhedra illustrated above.

See also

Cube, Dodecahedron 6-Compound, Octahedron 25-Compound, Polyhedron Compound, Tetrahedron 50-Compound

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Cite this as:

Weisstein, Eric W. "Cube 25-Compound." From MathWorld--A Wolfram Web Resource.

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