The strombic icositetrahedron is the dual of the rhombcuboctahedron, and has many interesting polyhedra in its stellation-series. Here are a few of them, starting with the 10th stellation.

Here’s the strombic icositetrahedron’s 16th stellation:

And the 19th:

And the 21st:

And the 23rd:

And the 25th:

And the 26th:

Next, the 28th stellation. It isn’t colored as the other stellations above are colored, simply because it is also a compound of six off-center square-based pyramids.

The 34th stellation is even more interesting. It’s a symmetrical four-part compound, but the component polyhedra have irregular faces, and are much less symmetrical than the compound itself.

Here is the 37th stellation in this series:

And the 43rd:

And the 44th:

The 59th stellation in this series is an octahedron, with each face excavated by short, triangle-based pyramids. It can also be seen as a compound of three shortened square-based dipyramids, but coloring it as a compound proved difficult, so it is presented here in rainbow-color mode:

Here’s the 61st stellation:

And the 68th:

And the 71st:

And the (quite different from the 71st) 72nd stellation:

And the 73rd:

And, finally, the 74th, which is an interesting two-part compound.

And the 79th:

And the 82nd stellation:

The last one I’m showing here is the 93rd stellation, another four-part compound.

All these images were created using Stella 4d:  Polyhedron Navigator, which you may try for yourself at http://www.software3d.com/Stella.php.