Tag Archives: tetrahedrally

Stellating the Tetrahedrally-Diminished Dodecahedron, Using Zometools

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This is the tetrahedrally-diminished dodecahedron, which can be formed from the Platonic dodecahedron by using faceting. In this case, I used Zometools. If you’d like to look into buying some Zome of your own, the website to visit is http://www.zometool.com.

Stellating polyhedra is one of the things Zome was invented for. The images below are two different rotations of a stellated tetrahedrally-diminished dodecahedron.

The Compound of the Pyramid-Excavated Dodecahedron and Tetrahedrally-Excavated Icosahedron, Together with Its Interesting Dual

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Compound of Augmented Dodeca and Augmented Icosa

This is the familiar dodecahedron/icosahedron compound, but with each face of both components of the compound altered by the excavation of an equal-edge-length pyramid. To make it, as well as the rotating image below, I used Stella 4d, which you can find here.

Also, here is the dual of the compound above:

Compound of Augmented Dodeca and Augmented Icosa