dodecahedron | RobertLovesPi.net

Twelve Red Rings of Triangles

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Twelve Red Rings of Triangles

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Duality

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Duality

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

Starry Dodecahedron

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Starry Dodecahedron

Created with Stella 4d (site to try it: http://www.software3d.com/stella.php).

An Augmented Icosidodecahedron

You can’t see the icosidodecahedron here, for it is hidden in the center. Each of its triangular faces is augmented with an icosahedron, and each of its pentagonal faces is augmented with a dodecahedron.

Software credit: see http://www.software3d.com/stella.php (free trial download available).

Compound of the Dodecahedron and Its Dual, the Icosahedron

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Compound of the Dodecahedron and Its Dual, the Icosahedron

Software credit: see http://www.software3d.com/stella.php (free trial download available)

Dodecahedron with Mandalas

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Dodecahedron with Mandalas

This rotating image took three different programs to create. First, I made the mandala (seen in the previous post) using Geometer’s Sketchpad. Next, I used MS-Paint to complete the colorization of it. Finally, I used Stella 4d (see http://www.software3d.com/stella.php if you’d like to try or buy it) to put this mandala on each face of a dodecahedron, and then create the rotating .gif you see here.

I find both Stella 4d and Geometer’s Sketchpad to be indispensable tools for mathematical investigations and the creation of geometrical art, and highly recommend both programs.