The snub cube and its dual make an attractive compound. Since the snub cube is chiral, its chirality is preserved in this compound.
If you examine the convex hull of this compound, you will find it to be chiral as well.
Here is the mirror image of that convex hull:
These two convex hulls, of course, have twin, chiral, duals:
The two chiral convex hulls above (the red, blue, and yellow ones), made an interesting compound, as well.
This is also true of their chiral duals:
I next stellated this last figure numerous times (I stopped counting at ~200), to obtain this polyhedron:
After seeing this, I wanted to know what its dual would look like — and it was a nice polyhedron on which to end this particular polyhedral journey.
I make these transformations of polyhedra, and create these virtual models, using a program called Stella 4d. It may be purchased, or tried for free, at http://www.software3d.com/Stella.php.