Polyhedral excavation is the opposite of augmentation. In this excavated tetrahedron, short pyramids have been removed from each face. I made this using Stella 4d, which can be tried for free at this website.
An Excavated Tetrahedron
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Tag Archives: tetrahedron
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.
The 12th Stellation of the Triakis Tetrahedron
Created using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
A Tetrahedral Array of Pulsating Tetrahedra
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.
An Offspring of a Dodecahedron and a Tetrahedron
To make this polyhedron, I first changed the symmetry-type of a dodecahedron from icosahedral to tetrahedral, then stellated it twice. This was done using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php.
Compound of Two Tetrahedral Wedges
I made this with Stella 4d, a program you can try for yourself right here.
Three Polyhedra Which Resemble Caltrops
Caltrops, when resting on a horizontal surface, have a sharp, narrow point sticking straight up. Stepping on such objects is painful. Most polyhedra do not have such a shape; the most well-known example of an exception to this is the tetrahedron. This fact is well-known to many players of role-playing games, who often use the term “d4” for tetrahedral dice, and who usually try to avoid stepping on them. Here are some other polyhedra which resemble caltrops. All were made using Stella 4d, software available at this website. The first two images may be made larger by simply clicking on them.
The third example, made with the same program, varies this idea somewhat: in physical form, resting on a floor, this caltrop-polyhedron would have three, not just one, potentially foot-damaging “spikes” sticking straight up.
