Tag Archives: cluster

Cluster of 33 Icosidodecahedra

There’s one icosidodecahedron at the center of this cluster, with more icosidodecahedra attached to each of the central figure’s 32 faces. In the first version, the coloring is simply based as the number of sides for each face. In the … Continue reading

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An Icosahedron Augmented with Twenty Great Icosahedra, together with the Dual of this Cluster-Polyhedron

The cluster-polyhedron above was formed by augmenting a central isocahedron with twenty great icosahedra. The dual of this cluster is shown below. Both these images were created using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.

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Augmenting, and Then Reaugmenting, the Icosahedron, with Icosahedra

A reader of this blog, in a comment on the last post here, asked what would happen if each face of an icosahedron were augmented by another icosahedron. I was also asked what the convex hull of such an icosahedron-cluster … Continue reading

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Cluster of Six Rhombicosidodecahedra

To make this cluster, start with a cuboctahedron, then augment each of its square faces with rhombicosidodecahedra. Although the cuboctahedron has cuboctahedral symmetry, this cluster does not — rather, it has tetrahedral symmetry. I created this using Stella 4d, which … Continue reading

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A Dozen Snub Dodecahedra, Surrounding a Dodecahedral Core

Software used — Stella 4d: Polyhedral Navigator, available as a free trial download at http://www.software3d.com/Stella.php.

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Three Views of a Rotating Cluster of 33 Icosidodecahedra

To make these three rotating cluster-polyhedra, I started with one icosidodecahedron in the center, then augmented each of its 32 faces with overlapping, additional icosidodecahedra, for a total of 33 icosidodecahedra per cluster. In the first image, only two colors are … Continue reading

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An Open Cluster of Polyhedra

From the center to the outside, this cluster contains one icosahedron, twenty octahedra, twenty icosidodecahedra, twenty more octahedra, and, finally, twenty rhombicosidodecahedra. All three of the images here were created using Stella 4d, a program you may try, free, at … Continue reading

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