Tag Archives: tetrahedron

Compound of Two Tetrahedral Wedges

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

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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 … Continue reading

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An Oblique Truncation of the Tetrahedron

This polyhedron has sixteen faces: four equilateral triangles, and a dozen kites. It was created using Stella 4d, which may be found at http://www.software3d.com/Stella.php.

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Compound of Three Tetrahedral Wedges

Software used: Stella 4d, available here.

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A Hybrid of the Tetrahedron and the Great Dodecahedron

I made this by stellating a dodecahedron repeatedly, but doing so with Stella 4d, the polyhedral-manipulation software I use (available here), set to use tetrahedral symmetry, rather than the higher-order icosahedral symmetry (which I often call “icosidodecahedral” symmetry) inherent to … Continue reading

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A Dodecahedron with Four Symetrically-Truncated Vertices

Dodecahedra have icosahedral (also called icosidodecahedral) symmetry. In the figure above, this symmetry is changed to tetrahedral, by truncation of four vertices with positions corresponding to the vertices (or, instead, faces) of a tetrahedron. The interchangeability of vertices and faces … Continue reading

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A Fashionable Tetrahedron

You can tell this is a fashionable tetrahedron because he’s wearing four pyramidal hats — one to cover each vertex. This bit of polyhedral silliness was created with Stella 4d, software you may try for free right here.

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