Nine Zonohedra

Software used to make these gifs: Stella 4d, available here.

A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms

Augmented Icosa

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.

 

Honeycomb Made of Cuboctahedra and Octahedra

Augmented Cubocta.gif

This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions.

Software used: Stella 4d, available here.

Spectral Circles on a Cuboctahedron

Cubocta

I used three programs to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.

Augmenting the Octahedron with Octahedra, Repeatedly.

This is an octahedron.

Octa

If you augment each face of an octahedron with more octahedra, you end up with this.

Augmented Octa

One can then augment each triangular face of this with yet more octahedra.

Aug Augmented Octa

Here’s the next iteration:

Aug Aug Augmented Octa

This could, of course, go on forever, but one more step in the series is all you will see here. I don’t want to get caught in an infinite loop.

next aug Octa

Performing various manipulations of polyhedra is easy with Stella 4d: Polyhedron Navigator, which I used to make all five of these rotating images. If you’d like to try this program for yourself, just check out http://www.software3d.com/Stella.php.

Two Polyhedra, Each Featuring Enneagons and Octagons

octagons and enneagons
enneagons and octagons

I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.

A Flock of 32 Rhombic Triacontahedra

32 RTC babies

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.

A Flock of Rhombicosidodecahedra

60 RIDRID

It’s a little-known fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.

Op Art on a Dodecahedron

Dodeca

I used Geometer’s Sketchpad and MS-Paint to make the designs on the faces, and then assembled the dodecahedron with Stella 4d, a program you may try here.

A Great Rhombicosidodecahedron Inspired By David Bowie, As Ziggy Stardust

Ziggy's Trunc Icosidodeca

I made this with Stella 4d, which you can try for yourself at this website.