Tag Archives: polyhedral

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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The Compound of the Octahedron and the Small Stellated Dodecahedron

I made this rotating virtual model using Stella 4d: Polyhedron Navigator, which you can try for yourself at http://www.software3d.com/Stella.php. This solid is different from most two-part polyhedral compounds because an unusually high fraction of one polyhedron, the yellow octahedron, is … Continue reading

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Some Ten-Part Polyhedral Compounds

While examining different facetings of the dodecahedron, I stumbled across one which is also a compound of ten elongated octahedra. Here’s what this compound looks like with the edges and vertices hidden: Next, I’ll put the edges and vertices back, … Continue reading

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A Compound of an Octahedron and a Pyritohedral Dodecahedron

I made this using Stella 4d: Polyhedron Navigator. You can try this program for free at http://www.software3d.com/Stella.php.

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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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Polyhedral Radiation Symbol

Software used: Stella 4d, available at http://www.software3d.com/Stella.php.

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