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 23rd:
And the 25th:
And the 26th:
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.