A Faceting of the Rhombicosidodecahedron

I made this faceting of the rhombicosidodecahedron using Stella 4d: Polyhedron Navigator. You can try this program out, for free, at http://www.software3d.com/Stella.php.

This Faceting of the Truncated Icosahedron is Also a Truncation of the Great Dodecahedron

This first version shows this polyhedron colored by face type.

In the next image, only parallel faces share a color. This is the traditional coloring-scheme for the great dodecahedron.

Both images were created with Stella 4d, which is available as a free trial download at this website. Also, the obvious change needed with this polyhedron — making its faces regular — is in the next post.

An Interesting Faceting of the Great Rhombicosidodecahedron

I made this using the faceting function within Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

One of Many Faceted Versions of the Great Rhombicosidodecahedron

The great rhombicosidodecahedron is also known as the truncated icosidodecahedron. I created this faceting of it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

A Faceted Version of the Truncated Cube

This is the truncated cube, which is one of the Archimedean solids.

Convex hull.gif

To make a faceted version of this solid, one must connect at least some of the vertices in different ways. Doing that creates new faces.

Faceted Trunc Cube 8 hexagons blue and yellow triangles.gif

This faceted version of the truncated cube includes eight blue equilateral triangles, eight larger, yellow equilateral triangles, and eight irregular, red hexagons. It’s easy to spot the yellow and blue triangles, but seeing the red hexagons is harder. In the final picture here, I have hidden all faces except for three of the hexagons, so that their positions can be more easily seen.

Faceted Trunc Cube 8 hexagons blue and yellow triangles some parts hidden.gif

I made all three of these images using Robert Webb’s program called Stella 4d: Polyhedron Navigator. It is available for purchase, or as a free trial download, at http://www.software3d.com/Stella.php.