I made these virtual models using *Stella 4d: Polyhedron Navigator*. If you’d like to try this program for yourself — free — the website to visit is http://www.software3d.com/Stella.php.

# Tag Archives: dodecahedron

# Two Images of a Toroidal Rhombic Triacontahedron Made of 212 Dodecahedra

I made these using *Stella 4d*, a program you can try as a free trial download at http://www.software3d.com/Stella.php.

# A Twice-Zonohedrified Dodecahedron

If one starts with a dodecahedron, and then creates a zonohedron based on that solid’s vertices, the result is a rhombic enneacontahedron.

If, in turn, one then creates a new zonohedron based on the vertices of this rhombic enneacontahedron, the result is this 1230-faced polyhedron — a twice-zonohedrified dodecahedron. Included in its faces are thirty dodecagons, sixty hexagons, and sixty octagons, all of them equilateral.

*Stella 4d: Polyhedron Navigator* was used to perform these transformations, and to create the rotating images above. You can try this program for yourself, free, at http://www.software3d.com/Stella.php.

# The Truncated Great Dodecahedron

To get from the last image posted to this one, I used *Stella 4d*‘s “try to make faces regular” function. (You can get a free trial download of this program right here.)

# The Great Stellated Dodecahedron, Inscribed Inside a Partially-Invisible Dodecahedron

I made this using *Stella 4d*, which you can try right here.

# Two Rhombic Polyhedra with Tessellated Faces

These polyhedra are the rhombic dodecahedron (above), and the rhombic triacontahedron (below).

I made both of these using* Stella 4d*, which you can try for free at http://www.software3d.com/Stella.php. The tessellation on the faces of these polyhedra first appeared right here on this blog, in the post just before this one.

# 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.