Two Dozen Kites Each, in Three Sets, as Faces of a Polyhedron


This was created using Stella 4d, a program you can buy, or try for free, at

Posted in Mathematics | Tagged , , , , | Leave a comment

An Eighty-Atom Fullerene Molecule


The fullerene molecule that gets the most attention is C60, so I’m giving C80 a little bit of the spotlight, for balance. I made this using polyhedral modeling software called Stella 4d; you can try it for yourself at this website.

Posted in Science and Scientists | Tagged , , , , , | 1 Comment

Icosahedral Cluster


The great icosahedron, one of the Kepler-Poinsot solids, is hidden from view at the center of this cluster. Each of its faces is augmented with a Platonic icosahedron, producing what you see here. Stella 4d is the software I used; more information about that program may be found here.

Posted in Mathematics | Tagged , , , , , , , | Leave a comment

On Turning Election Day Into Mother’s Day

Upon closer inspection, even Gary Johnson and Jill Stein aren’t people I want to vote for. I have therefore decided I am not going to vote for president this year, at least not as myself.

My mother can no longer vote. She would want to vote for Hillary Clinton. I will, therefore, cast a vote for H.C. on her behalf.

Posted in Life, Politics | Tagged , , , , , , , , | Leave a comment



Created using Stella 4d, available here.

Posted in Art | Tagged , , , , | Leave a comment

Watch the Vortex Swirl

watch-the-voretex-swirlWhen I started this blog in 2012, I was gradually changing my preferred artistic medium, from acrylics on canvas, to software which manipulates electrons and photons. It’s still fun to pick up a paintbrush from time to time, though, and this is what I painted the last time I did that, in early June, 2016.

Posted in Art | Tagged , , , , , , | Leave a comment

A Decorated Pentagonal Hexacontahedron, with Three of Its Stellations


This is a pentagonal hexacontahedron, the dual of the snub dodecahedron. It’s decorated with mandalas of the the type I blogged here, two posts ago. The mandalas do interesting things when this polyhedron is stellated, as you can see below.


That was the first stellation, and here is the second:


The sixth stellation was the last one I found interesting enough to post.


All four polyhedral images above were created using Stella 4d: Polyhedron Navigator, software you may buy, or try for free, at this website.

Posted in Art, Mathematics | Tagged , , , , , , , , , , | 1 Comment