Monthly Archives: June 2018

Compelling Reading, I’m Sure, from Facebook

So, did anyone out there actually read this? If so, how is the plot, and the character development?

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The Liebster Award for Blogging

I’d like to thank Richard, at, for nominating me for the Liebster Award for blogging. It’s an honor to simply have someone choose to follow my blog, and I feel grateful every time I get a new follower, but this … Continue reading

Posted in Blogging | Tagged , , , | 6 Comments

A Second Type of Double Icosahedron, and Related Polyhedra

After seeing my post about what I called the “double icosahedron,” which is two complete icosahedra joined at one common triangular face, my friend Tom Ruen brought my attention to a similar figure he likes. This second type of double icosahedron … Continue reading

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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 Double Icosahedron, and Some of Its “Relatives”

The double icosahedron is simply an icosahedron, augmented on a single face by a second icosahedron. I thought it might be interesting to explore some transformations of this solid, using Stella 4d: Polyhedron Navigator (available here), and I was not … Continue reading

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Two Excellent Mathematical Websites

I usually only post my own work here, but today I’m giving a shout-out to the websites of a German friend of mine named Tadeusz E. Doroziński. He made this snub polyhedron with 362 faces, which I’m posting here as … 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 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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