Tag Archives: cluster

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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A Festive Cluster of Polyhedra

This is what you get if you start with an icosahedron, augment each of its faces with tetrahedra, and then augment the tetrahedral faces with octahedra. I made it using Stella 4d, a program you may try for free at … Continue reading

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Icosahedral Cluster

The great icosahedron, one of the Kepler-Poinsot solids, is hidden from view at the center of this cluster. Each of its faces is augmented with a Platonic icosahedron, producing what you see here. Stella 4d is the software I used; … Continue reading

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Two Different Cluster-Polyhedra

An icosahedron is hidden from view in the center of this cluster-polyhedron. To create the cluster, each of the icosahedron’s triangles was augmented with a rhombicosidodecahedron. The resulting cluster has the overall shape of a dodecahedron. To create the next … Continue reading

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Two Views of an Icosahedron, Augmented with Great Icosahedra

If colored by face-type, based on face-position in the overall solid, this “cluster” polyhedron looks like this: There is another interesting view of this polyhedral cluster I like marginally better, though, and that is to separate the faces into color-groups … Continue reading

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Unsquashing the Squashed Meta-Great-Rhombcuboctahedron

I noticed that I could arrange eight great rhombcuboctahedra into a ring, but that ring, rather than being regular, resembled an ellipse. I then made a ring of four of these elliptical rings. After that, I added a few more … Continue reading

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