The original polyhedral cluster I built using *Stella 4d* (available here) is above. Below is its 29th stellation.

And the 30th stellation, as well:

This is the original polyhedral cluster’s dual:

The next image is a variant of the original polyhedral cluster, rendered with only its edges, but not faces or vertices, visible. I wish I could remember exactly how I made this variant, but I simply cannot recall the exact methods I used.

This is the dual of the polyhedron shown immediately above, rendered in the same manner:

This is a compound of the two dual polyhedra right before this sentence.

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It’s almost hypnotic! Is this a “real” shape? Like could you make this with cubes?

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You cut half the cubes into six identical square-based pyramids. They then get stuck on the six faces of the remaining half of the cubes. You now have the set of rhombic dodecahedra — so, yes. Anything you can make of rhombic dodecahedra can be made of cubes.

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