Starting with the rhombic triacontahedron, I tetstelled it three times, and found this unusual polyhedron. It has eighteen faces: six parallelograms, and twelve trapezoids.

Here’s what happened when I used Stella 4d‘s “try to make faces regular” function on the polyhedron above.

This solid has six rhombic faces, and twelve faces which are kites. Here is its dual:

Next, I returned to the red-and-yellow solid above, and tetstelled it numerous times, producing a compound of a cube and a distorted rhombic dodecahedron.

A few more tetstells produced this interesting three-part compound.

If you’d like to try Stella yourself, the website to visit is http://www.software3d.com/Stella.php. There’s a free trial download there.