Cuboctahedron Thirteen

For fans of House MD in general, and Olivia Wilde (Dr. Remy Hadley, better known as “Thirteen”) in particular. It’s off the air now, but still available on Amazon. I made this .gif using Stella 4d, which you can try right here.

It’s All Been Done Before — Or Has It?

I’m trying extremely hard to come up with a polyhedral design no one has ever seen before. I think I might have found one — possibly even two.

To make this, I drew a point with 360 rays coming from it, using Geometer’s Sketchpad. I then took a screenshot of that, and projected it onto each face of a rhombic triacontahedron. Two versions are presented here — one where the images appear to rotate, and one where they don’t. I sincerely hope you are seeing these for the first time.

I could not have made these without Stella 4d: Polyhedron Navigator, which you can try for yourself — for free — at this website. It’s simply the best program out there for making polyhedral images.

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