Three Views of the Final Stellation of the Icosahedron

In this first image of the final stellation of the icosahedron, the faces are colored with a different color for each face, except for parallel faces, which are the same color.

The next image uses red and yellow to color the facelets by type.

Finally, the third image simply uses rainbow color mode.

I used Stella 4d to make these. You can try this program for free at this website.

Five Variants of the Compound of Two Tetrahedra

This is the compound of two tetrahedra, also known as Johannes Kepler’s Stella Octangula.

I found the five variations of this polyhedral compound shown below, located deep within the stellation-series of the great rhombicuboctahedron.

These .gif images were all made using Stella 4d, a program you can try for free at

The Third Stellation of the Pentagonal Icositetrahedron Is a Compound of Two Irregular Dodecahedra

Here’s the pentagonal icositetrahedron. It is the dual of the snub cube.

And here is its third stellation. As you can see, it’s a compound of two irregular dodecahedra.

I made these images using Stella 4d: Polyhedron Navigator. You can try this program for free at

Stellar Array

A great dodecahedron (red) sits in the middle of this polyhedral cluster. The polyhedra touching the one in the center are blue small stellated dodecahedra. Finally, there are yellow great stellated dodecahedra on the outside.

I assembled this polyhedral cluster using Stella 4d, which you can try for yourself at

The Eleventh Stellation of the Truncated Octahedron Is an Interesting Polyhedral Compound

This compound has three parts: two tetrahedra, plus one smaller cube. I made it using Stella 4d: Polyhedron Navigator, which you can try for free at

A Compound of the Great Stellated Dodecahedron and the Great Dodecahedron

Compound of Great Stellated Dodeca and Great Dodeca.gif

In the picture above, each component of this compound has its own color. In the one below, each set of parallel faces is given a color of its own.

Compound of Great Stellated Dodeca and Great Dodeca 2

These images were made using Stella 4d, software you may try for yourself at this website.