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.