A 50-Faced Symmetrohedron Featuring Twelve Regular Hexagons, Six Squares, Eight Equilateral Triangles, and 24 Isosceles Triangles

I made this using Stella 4d. You can try this program for free at this website.

A Symmetrohedron Featuring Twenty Regular Enneagons, Twelve Regular Pentagons, and Sixty Isosceles Triangles

I made this using Stella 4d: Polyhedron Navigator. You can get a free trial download of this program at http://www.software3d.com/Stella.php.

A Symmetrohedron Featuring Six Regular Octagons, Eight Equilateral Triangles, and Twelve Pairs of Isosceles “Bowtie” Trapezoids

This 38-faced polyhedron has been bugging me for over a week. I have a gut feeling that I’ve blogged it before, but my repeated searches have not found it. Perhaps I’m wrong, and it isn’t a “rerun” after all.

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

A Symmetrahedron Featuring Twelve Regular Pentagons

To make this, I stellated the dual of the tetrated dodecahedron over 200 times, and then applied Stella 4d‘s “try to make faces regular” function. This is probably not the easiest method to use, but I don’t know of any others. The quadrilaterals are all kites.

If you’d like to give Stella a try, for free, the website to visit is http://www.software.com/Stella.php/