Tag Archives: tetrahedral

Four Symmetrohedra with Tetrahedral Symmetry

Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces. The next two symmetrohedra each include four regular dodecagons as faces. All … Continue reading

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Some Tetrahedral Stellations of the Truncated Cube

I created these with Stella 4d, which you may try for free at this website. To make a given polyhedral stellation appear larger, simply click on it.

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Tetrahedrally-Symmetric Creatures with Polyhedral Legs

Each of these has a tetrahedron hidden from view in the center. These were made using Stella 4d, which you may try for yourself 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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A Tetrahedral Exploration of the Icosahedron

Mathematicians have discovered more than one set of rules for polyhedral stellation. The software I use for rapidly manipulating polyhedra (Stella 4d, available here, including as a free trial download) lets the user choose between different sets of stellation criteria, … Continue reading

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47 Polyhedra with Tetrahedral Symmetry, Some of Them Chiral

To enlarge any individual image, simply click on it. These polyhedral images were created using Stella 4d: Polyhedron Navigator, a program you can find at http://www.software3d.com/Stella.php, with a free trial download available.

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