Two Different Forty-Part Polyhedral Compounds

Cubes 20 A

The polyhedron above is a compound of twenty cubes and twenty octahedra, colored by symmetry-based face-type. If the same compound is viewed in “rainbow color mode,” it looks like this:

Cubes 20 Octa 20 A

With this particular compound, though, there are two versions — without taking coloring into consideration at all. The other version simply has the twenty cubes and twenty octahedron in a different, but still symmetrical, arrangement:

Cubes 20 Octa 20 B

The compound above uses this second arrangement, colored by face type, and the next image is the same (second) compound, but in “rainbow color mode.”

Cubes 20 B

These rotating polyhedral images were made with Stella 4d, software you can try for yourself, right here.

Cube-Based Polyhedron Featuring Regular Icosagons, Equilateral Triangles, Isosceles Trapezoids, and Rectangles


Polyhedron Featuring Regular Icosagons, Equilateral Triangles, Trapezoids, and Rectangles

Created with software you can try and/or buy at

Cluster of Twenty Snub Dodecahedra


Cluster of Twenty Snub Dodecahedra

This was made by the augmentation of an icosahedron, using snub dodecahedra on each of its twenty faces. I used software available at