Tag Archives: dodecahedron

Augmenting the Dodecahedron with Great Dodecahedra

These two polyhedra are the dodecahedron (left), and the great dodecahedron (right). Since the faces of both of these polyhedra are regular pentagons, it is possible to augment each of the dodecahedron’s twelve faces with a great dodecahedron. Here is … Continue reading

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A Compound of an Octahedron and a Pyritohedral Dodecahedron

I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

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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.

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Creating a New Polyhedron from the Snub Dodecahedron

Shown below are the snub dodecahedron and its dual, the pentagonal hexecontahedron. Seeking a way to make a “new” polyhedron (one never seen before), I augmented each face of the orange dual, above, with prisms. These prisms have a height … Continue reading

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Selected Stellations of the Truncated Dodecahedron

This is the truncated dodecahedron. It is one of the Archimedean solids. This polyhedron has a long stellation-series, from which I selected several on aesthetic grounds. The figure immediately below is the truncated dodecahedron’s 16th stellation. Here is the 21st … Continue reading

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A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.  

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Op Art on a Dodecahedron

I used Geometer’s Sketchpad and MS-Paint to make the designs on the faces, and then assembled the dodecahedron with Stella 4d, a program you may try here.

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