Category Archives: Mathematics

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

Tessellation Featuring Regular Hexadecagons, Kites, and Isosceles Triangles

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The Eighteenth Stellation of the Rhombicosidodecahedron Is an Interesting Polyhedral Compound

The 18th stellation of the icosidodecahedron, shown above, is also an interesting compound. The yellow component of this compound is the rhombic triacontahedron, and the blue-and-red component is a “stretched” form of the truncated icosahedron.  This was made using Stella … Continue reading

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The Equal-Edge-Length, Pyramid-Augmented Rhombicosidodecahedron

The only difference between these two images is that the lower one is in “rainbow color mode.” Both were created using Stella 4d, which you can try for free at this website. I once made a physical model of this … Continue reading

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A Tessellation of Star Octagons, and Two Sizes of Squares

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The Regular Enneagon, and Three Regular Enneagrams

The red figure above is a regular enneagon, or nine-sided polygon, and it has three regular enneagrams (or “star enneagons”) inside it. The light blue figure is called a {9,2} enneagram. The green figure can be viewed two ways: as … Continue reading

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An Arrangement of Circles Based on the Euclidean Construction of the Pentagon

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An Octahedron, Augmented with Eight Great Icosahedra

You can’t see the octahedron; it’s hidden at the center of the figure. I used Stella 4d to make this. You can try that program for yourself at http://www.software3d.com.

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