The Augmented Great Dodecahedra III

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Augmented Great Dodecahedra III

In this construction, I took the polyhedral cluster found in the last two posts, and augmented every pentagonal face with yet another great dodecahedron. I used software you can find at http://www.software3d.com/stella.php.

The Augmented Great Dodecahedron II

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The Augmented Great Dodecahedron II

To make this, I used the polyhedron found in the last post, using software I bought at http://www.software3d.com/stella.php, to alter the coloring scheme to make each face a different color unless it is parallel to another, in which case it has the same color as all parallel faces.

Which coloring-scheme do you like best?

The Augmented Great Dodecahedron

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The Augmented Great Dodecahedron

Begin with one great dodecahedron, and then augment each face with another, and you get this. I used software you may find at http://www.software3d.com/stella.php to make it.

Rhombicosidodecahedral Cluster of Rhombic Triacontahedra

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Rhombicosidodecahedral Cluster of Rhombic Triacontahedra

Since rhombic triacontahedra can form pentagonal rings, triangular rings, and square rings, I wanted to find out if a rhombicosidodecahedron could be built out of these building blocks. As you can see here, the attempt was a success. Each rhombic triacontahedron which appears here is located at the vertex of a rhombicosidodecahedron.

Software credit: see http://www.software3d.com/stella.php.

An Icosahedron, Augmented, and Then Reaugmented, with Octahedra

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An Icosahedron, Augmented, and Then Reaugmented, with Octahedra

Software credit: you can try the software I used to make this 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.

Cluster of Sixty Icosidodecahedra

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Cluster of Sixty Icosidodecahedra

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

Cluster of Sixty Rhombicosadodecahedra

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Augmented IcosaSoftware credit: see http://www.software3d.com/stella.php — free trial download available.

Thirty-Two Truncated Icosahedra, Clustered Around a Much Larger Icosidodecahedron

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Thirty-Two Truncated Icosahedra, Clustered Around a Much Larger Icosidodecahedron

Software credit: visit http://www.software3d.com/stella.php for more information on the program used to make this rotating image. A free trial download is available.