There are twelve regular decagons in this polyhedron, and sixty irregular pentagons. If the pentagons were closer to regularity, this would qualify as a near-miss to the ninety-two Johnson Solids. It is not known how many of these “near-misses” exist — primarily because this group of polyhedra lacks a precise definition.
This polyhedron was discovered with the aid of Stella 4d, software you can try for yourself at http://www.software3d.com/stella.php.
Sixty of the faces of this zonohedron are thombi, and the other thirty are zonogonal octagons.
Software available at http://www.software3d.com/stella.php was used to create this rotating image.
The faces are:
This polyhedron was created using Stella 4d, which may be tried for free at http://www.software3d.com/stella.php.
Credit where credit is due:
I found the eclipse picture with a Google-search.
The mandalas are the one in the previous post here (“Seventeen Circles”). I made it using Geometer’s Sketchpad and MS-Paint.
I used software called Stella 4d to assemble this onto the chosen polyhedron, and make the animated .gif file you see here. This software is available at http://www.software3d.com/stella.php, with a free trial download available.
RobertLovesPi.net 