Category Archives: Mathematics

The dominant topic of my blog. You figured that out from the blog’s name, though, right?

Four Polyhedra Featuring Enneagons

Enneagons are also called nonagons; they are polygons with nine sides. I used Stella 4d to make these four rotating polyhedra, and you may try this program for yourself at http://www.software3d.com/Stella.php.

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Throwing Star Tessellation

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Tessellation of Triangles and Pentagons

Alternately, this can be seen as a tessellation of hexagons and enneagons. Which do you see?

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The C-320 Fullerene Polyhedron

The duals of the geodesic domes are polyhedra with hexagonal and pentagonal faces. This particular one has 320 vertices, with those vertices representing carbon atoms. Here is C-320 as a polyhedron. The next image shows this molecule as a ball-and-stick … Continue reading

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The Construction of a Zome Model of a 240-Atom Fullerene Molecule, In Seven Pictures

You can buy your own Zome at http://www.zometool.com.

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A Faceting of the Rhombcuboctahedron

This particular faceting of the rhombcuboctahedron can also be viewed as a cluster of stella octangulae. I made it using Stella 4d, polyhedron-manipulating software you can try, for yourself, at http://www.software3d.com/Stella.php.

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The Truncated Stella Octangula

This can also be called the compound of two truncated tetrahedra. This image was created using Stella 4d, which you can try at this website.

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