Tag Archives: tetrahedron

An Offspring of a Dodecahedron and a Tetrahedron

Posted on 26 May 2018 by

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.

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Compound of Two Tetrahedral Wedges

Posted on 16 September 2016 by

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

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Three Polyhedra Which Resemble Caltrops

Posted on 20 July 2016 by

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

Posted on 17 July 2016 by

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

Posted on 17 July 2016 by

Software used: Stella 4d, available here.

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A Hybrid of the Tetrahedron and the Great Dodecahedron

Posted on 18 January 2016 by

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

Posted on 8 May 2015 by

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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