Tags » Icosahedron

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

Mathematics

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

Mathematics

The 109th Stellation of the Triakis Icosahedron

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

Mathematics

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

Mathematics

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.

Geometry

30 Unit Icosahedron

Edge Module Icosahedron designed by Tomoko Fuse
Folded by Franck Ramaharo

Unit Origami