
Eleven
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This is a face-based zonish truncated icosahedron.
I’ve only been looking for a new near-miss for a decade!
Software credit: see www.software3d.com/Stella.php.

Rendered with Stella 4d: you may try it for free at http://www.software3d.com/stella.php.


To make this, I started with an icosidodecahedron, then added zonogons to the existing faces, in the ten zones along the three-fold symmetry axes.
Software used: Stella 4d. You may find it at www.software3d.com/stella.php.


Some might say the snub dodecahedron was twisted enough already, but I wanted to crank it up a notch, so I made this . . . using Stella 4d: Polyhedron Navigator, a program found at http://www.software3d.com/Stella.php.

Created using software found at http://www.software3d.com/stella.php.


In this virtual model, opposite planes have the same color. The beveling of the edges, this coloring method, plus the invisibility of certain parts, make the faces appear to be extensions of triangles, or triads of “v” shapes. Without this beveling effect on this coloring-method, however, it is easy to see that the true faces of this polyhedron are star pentagons. To see this second model enlarged — with this polyhedron’s traditional coloring — simply click on it.
The site to visit if you want to know how to make .gifs like these is http://www.software3d.com/stella.php.