If you stellate the tetrakis hexahedron once, you get a compound of two pyritohedral dodecahedra.
The 16th stellation is a compound of three elongated octahedra.
Later, when you get to the 65th stellation, the result is a compound of four triangular dipyramids.
I found these compounds, and created these rotating images, using Stella 4d: Polyhedron Navigator. If you wish, you can try this program for free at http://www.software3d.com/Stella.php.
I made this by faceting a great rhombicosidodecahedron, using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.
Sharp-eyed polyhedronists may wonder about the dodecahedron augmented with pentagonal pyramids, because it closely resembles the pentakis dodecahedron, which is one of the Catalan solids. I checked, though, and the red triangles’ angles are not quite correct for that designation.
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
I made this compound using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.
I made these compounds using Stella 4d, which you can try for free at http;//www.software3d.com/Stella.php.
The compound above has eight components, each of which is a tall, triangular, and off-center pyramid. The one below has three co-centered components: elongated square dipyramids.
I made these using Stella 4d: Polyhedron Navigatgor, which you can try for free at http://www.software3d.com/Stella.php.
I made this compound using Stella 4d, which you can try for yourself right here.
I made this using Stella 4d, which you can try for yourself, free, at this website: http://www.software3d.com/Stella.php.
I found this compound by repeatedly stellating the small hexacronic icositetrahedron, which is the dual of the small cubicuboctahedron, one of the uniform solids. I used Stella 4d: Polyhedron Navigator to do this, and you can try this program, as a free trial download, at http://www.software3d.com/Stella.php.
I made this compound using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
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