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

## Tags » Icosahedron

#### 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

#### The Cube / Icosahedron Compound

I made this rotating .gif file using *Stella 4d*. You can try this software for itself at http://www.software3d.com/Stella.php.