For the last few years I’ve had the following shapes appear in my meditations or dreams. Recently I got a clue as to why. A friend had accidentally ordered two copies of a book and was selling it off. 266 more words

## Tags » Icosahedron

#### The Dead Man's Fingers (Prose)

Bluebottle Bob always left such intricate puzzles for the FBI.

Too bad he left his puzzles beside bodies.

Agent Fregón nudged the dead man’s fingers with his toe. 135 more words

#### Geomag models

I made this with my geomags.

It’s actually just a normal icosahedron, but with triangular prisms on all the surfaces.

In my mind this is a science space station, and each of the triangular prisms is a separate lab. 23 more words

#### A Polyhedral Journey, Beginning with Face-Based Zonohedrification of an Icosahedron

To begin this, I took an icosahedron, and made a zonish polyhedron with it, with the new faces based on the zones of the existing faces. 476 more words

#### A Zonish Icosahedron, and Some of Its "Relatives"

To begin this, I used *Stella 4d* (available here) to create a zonish polyhedron from the icosahedron, by adding zones along the x-, y-, and z-axes. 288 more words

#### The 109th Stellation of the Triakis Icosahedron

Created using *Stella 4d: Polyhedron Navigator*, available here.

#### An Unsolved Problem Involving the Icosahedron and the Dodecahedron, and Their Circumscribed Spheres

This is apparently a problem, posed by Gregory Galperin, which went unsolved at the Bay Area Math Olympiad in 2005. I haven’t solved it yet, but I’m going to try, as I work on this blog-post. 686 more words