Tag Archives: Mathematics

Augmenting the Octahedron with Octahedra, Repeatedly.

This is an octahedron. If you augment each face of an octahedron with more octahedra, you end up with this. One can then augment each triangular face of this with yet more octahedra. Here’s the next iteration: This could, of … Continue reading

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Two Polyhedra, Each Featuring Enneagons and Octagons

I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.

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A Flock of 32 Rhombic Triacontahedra

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

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A Flock of Rhombicosidodecahedra

It’s a little-known fact that rhombicosidodecahedra prefer to fly in flocks of sixty, as seen here. I made this using Stella 4d, available at this website.

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Op Art on a Dodecahedron

I used Geometer’s Sketchpad and MS-Paint to make the designs on the faces, and then assembled the dodecahedron with Stella 4d, a program you may try here.

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A Great Rhombicosidodecahedron Inspired By David Bowie, As Ziggy Stardust

I made this with Stella 4d, which you can try for yourself at this website.

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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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