A Symmetrohedron Which Is Also a “Near Near Miss”

I’ve spent a lot of time over the years looking for “near misses” to the Johnson Solids, and I’ve found two of them in all that time, starting in 2003. This isn’t one, for it has an edge length deviation of about 11%, which is too much to get overly excited about. It is, however, a symmetrohedron. The hexagons, pentagons, and yellow triangles are all regular; it’s only the blue triangles which are irregular (and isosceles). It has 122 faces in all. I think I can also say, with confidence, that it is a “near near miss.” In other words, it’s nearly a near-miss to the Johnson Solids. Confused yet? I know I am.

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

A 32-faced Polyhedron Featuring 4 Regular Heptagons

In addition to the four regular heptagons, this polyhedron has four quadrilateral faces, plus 24 triangles. I made it using Stella 4d, which you can try for free here. The second image, below, shows the same polyhedron from a different angle.

A Compound of the Platonic Octahedron and a Pyritohedral Dodecahedron

The red component of this compound is one of an infinite number of possible pyritohedral dodecahedra. It’s shown by itself in the image below.

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