I made these using Stella 4d: Polyhedron Navigator. You can give this software a try, right here, for free.
Tag Archives: stella octangula
Kepler’s “Stella Octangula,” With Ten Variants
Here’s Johonnes Kepler’s Stella Octangula — also known as the compound of two tetrahedra.
What follows are ten variants of this solid, all made using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.


Uh oh . . . .
“We are the Borg. You will be assimilated. Resistance is futile.”

[Visual produced using Stella 4d, which you can try for free here. Quote from Star Trek.]
Stella Octangula, Times Nine
I made this with a program called Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
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 http://www.software3d.com/Stella.php.
A Faceting of the Rhombcuboctahedron
This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedron-manipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.
The Truncated Stella Octangula
This can also be called the compound of two truncated tetrahedra.
This image was created using Stella 4d, which you can try at this website.
Three Variations of Kepler’s Stella Octangula
The Stella Octangula was the name Johannes Kepler gave, centuries ago, to the compound of two tetrahedra. Here are three variations on it, all created using Stella 4d, a program you may try at http://www.software3d.com/Stella.php.
Some Variants of Kepler’s Stella Octangula
The Stella Octangula is also known as the compound of two tetrahedra, which works well because the tetrahedron is self-dual. All of these are also two-part compounds, with varying amounts of similarity to the Stella Octangula. The first one is also the 26th stellation of the triakis octahedron, one of the Catalan solids.
All of these were made using Stella 4d, which may be tried or purchased at http://www.software3d.com/Stella.php.
Two Colorings of a Hollow Stella Octangula
Both of these versions of the stella octangula, or compound of two tetrahedra, were made with Stella 4d, software available at http://www.software3d.com/Stella.php.