A Zonish Polyhedron Based On the Faces and Vertices of a Dodecahedron

Posted on 27 November 2022 by RobertLovesPi

I made this using Stella 4d, which you can try for free right here.

A Compound of the Truncated Dodecahedron and the Truncated Icosahedron

Posted on 23 November 2022 by RobertLovesPi

I made this using Stella 4d, a program you can try for free at this website.

A Cosmic Rhombic Dodecahedron

Posted on 23 November 2022 by RobertLovesPi

Image credit: NASA/ESA/CSA. This was one of the first images from the new James Webb Space Telescope.

Software credit: Stella 4d, available here.

Uh oh . . . .

Posted on 23 November 2022 by RobertLovesPi

“We are the Borg. You will be assimilated. Resistance is futile.”

[Visual produced using Stella 4d, which you can try for free here. Quote from Star Trek.]

An Interference Pattern

Posted on 22 November 2022 by RobertLovesPi

I don’t know about you, but this reminds me of a spider (my favorite animal).

Supernovae Bursting Forth From a Pentagonal Icositetrahedron

Posted on 22 November 2022 by RobertLovesPi

I made this with Stella 4d, which you can try for free here.

Cuboctahedron Thirteen

Posted on 22 November 2022 by RobertLovesPi

This is 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?

Posted on 22 November 2022 by RobertLovesPi

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”

Posted on 22 November 2022 by RobertLovesPi

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.