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.

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things. The majority of these things are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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3 Responses to Two Different Forty-Part Polyhedral Compounds

  1. swo8 says:

    Very, very nice, Robert.

    Liked by 1 person

  2. ivasallay says:

    These are especially pretty!

    Liked by 1 person

  3. teachezwell says:

    Wow. These are stupendous. I still smile when you add, You can try it yourself. How long did it take you to create these? Wait, don’t tell me; I’ll start crying.

    Liked by 1 person

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