Two Six-Part Polyhedral Compounds

I stumbled across this compound the other day, while playing around with Stella 4d: Polyhedron Navigator (available here).

At first, I thought this was a compound of six tetrahedra, but careful examination reveals that the tetrahedra are missing parts along the middle of some of their edges. I looked up the canonical compound of six tetrahedra in Stella‘s library, and here it is. As you can see, it’s quite similar — but it does have those “missing” pieces added.

The Compound of the Platonic Tetrahedron and the Triakis Tetrahedron

I made this compound using Stella 4d, which you can try for free at this website.

A Compound of Three Elongated Tetrahedra

I made this using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.

Five Tetrahedra

I made this variation of Kepler’s Stella Octangula, using Stella 4d, software you can try for free at this website.

Spectral Tetrahedra

Stella 4d: Polyhedron Navigator has a “put models on vertices” function which I used to build this complex of tetrahedra. If you’d like to try this software for yourself, there is a free trial version available 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 Tetrahedral Array of Pulsating Tetrahedra

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I created this using Stella 4d: Polyhedron Navigator. You may try this software, for free, at http://www.software3d.com/Stella.php.

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 http://www.software3d.com/Stella.php.

The Truncated Stella Octangula

This can also be called the compound of two truncated tetrahedra.

Compound of Two truncated tetrahedra

This image was created using Stella 4d, which you can try at this website.

Compound of Two Tetrahedral Wedges

compound-of-two-wedges

I made this with Stella 4d, a program you can try for yourself right here.