Two Dodecahedra with Varying Rotation-Types of the Same Design Shown On Their Faces

The images shown on the faces of these dodecahedra appeared in the last post, and were made using Geometer’s Sketchpad and MS-Paint.

DodecaAssembling the polyhedral images and creating these rotating .gif files required another program, Stella 4d, which is available at http://www.software3d.com/Stella.php.

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The Compound of Six Dodecahedra

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The Compound of Six Dodecahedra

Some polyhedral compounds are well-known, such as the compound of five cubes, while others are less famous. I had never heard of this compound before building one today (virtually, not as a physical model). However, a quick Google-search told me that I was not the first person to discover it.

Software credit: see http://www.software3d.com/stella.php to try or buy Stella 4d, the software I used to create this image.

Cluster of Twenty Snub Dodecahedra

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Cluster of Twenty Snub Dodecahedra

This was made by the augmentation of an icosahedron, using snub dodecahedra on each of its twenty faces. I used software available at http://www.software3d.com/stella.php.

Cluster of 120 Dodecahedra

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Cluster of 120 Dodecahedra

Software credit: see http://www.software3d.com/Stella.php — free trial download available.

732 Interpenetrating Regular Pentagons in Orbit around a Common Axis

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732 Interpenetrating Regular Pentagons In Orbit Around a Common Axis

This was created by augmenting a great dodecahedron with more great dodecahedra, and then augmenting the result with even more of them.

The software I used was Stella 4d, which you can find right here.