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.
RobertLovesPi.net 
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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