# Category Archives: Mathematics

# The 15th Stellation of the Compound of a Dodecahedron and an Icosahedron

I made this using *Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php.

# A Rhombic Enneacontahedron, Made of Zome

Zome is a ball-and-stick modeling system which can be used to make millions of different polyhedra. If you’d like to get some Zome for yourself, just visit http://www.zometool.com.

# A Symmetrohedron Featuring Regular Octagons, Pentagons, and Triangles

The only irregular faces in this polyhedron are the quadrilaterals (kites and rectangles). I made it using *Stella 4d*, which you can try for yourself — for free — at http://www.software3d.com/Stella.php.

# A Zonohedron Which Is Also a Symmetrohedron

This zonohedron is based on the icosidodecahedron / rhombic triacontahedron compound — more specifically, on its edges. Twelve faces are regular decagons, twenty are regular hexagons, sixty are squares, and the only irregular faces are the thirty equilateral octagons. That’s 122 faces in all.

# A Three-Level Dodecahedron, Together with Its Dual

After I’d posted this, a helpful friend on Facebook told me the official name of the first polyhedron shown here — a pentalofted chamfered dodecahedron.

# A Faceting of the Truncated Icosahedron, Followed By Two Stellations of This Faceting’s Dual

These images were created using *Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php.