Category Archives: Mathematics

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

A Rhombic Dodecahedron, Made of Icosahedra, and Tall Triangular Antiprisms

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

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Honeycomb Made of Cuboctahedra and Octahedra

This is the three-dimensional version of what is called a tessellation in two dimensions. It fills space, and can be continued in all directions. Software used: Stella 4d, available here.

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Spectral Circles on a Cuboctahedron

I used three programs to make this: Geometer’s Sketchpad, MS-Paint, and Stella 4d. The third of these may be tried for free at http://www.software3d.com/Stella.php.

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Spectral Circles on a Truncated Icosahedron

I used MS-Paint and Geometer’s Sketchpad to make the designs on the faces, and then used Stella 4d (here) to put the whole thing together.

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Spectral Circles

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Heptagrammic

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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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