This polyhedron has sixty kite faces and thirty octagonal faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A 90-Faced Polyhedron
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This polyhedron has sixty kite faces and thirty octagonal faces. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try for free right here.
I tried to make a symmetrohedron using regular octadecagons and regular decagons, but that combination forces the octadecagons to overlap, and that causes the would-be symmetrohedron to be non-convex.
I tried to augment these octadecagons with antiprisms, and then form the convex hull of the result. Here’s what I found:
I made these using Stella 4d, which you can try for free right here.
The decagons and octagons in this zonohedron are regular. The octadecagons are, sadly, only equilateral. I made this using Stella 4d, which you can try for free, right here.

I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.