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 http://www.software3d.com/Stella.php.
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 http://www.software3d.com/Stella.php.
Created with Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
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 http://www.software3d.com/Stella.php.
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.
These images were made using Stella 4d, software you may try for yourself at this website.
