The truncated isocahedron has an interesting (and long) stellation series. Here are some of the stellated forms of this polyhedron which I find particularly interesting and attractive, starting with its 41st stellation.
This one is the 42nd stellation:
Jumping far ahead in the series, this is the 126th stellation:
And, finally, the 148th stellation.
All four images were produced using Stella 4d: Polyhedron Navigator. You can try this program for yourself at www.software3d.com/Stella.php.