A Chiral Compound of Six Square-Based Pyramids

This is a stellation of the pentagonal icositetrahedron. I made it using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

Three Compounds of Pyramids

This first two compounds here are of twelve pentagonal pyramids.

The next one is a compound of six square-based pyramids.

My Sanity Pill

This is a ball-and-stick molecular image (found on Wikipedia) of an olanzapine (Zyprexa) molecule. It’s the medication prescribed, by my psychiatrist, to treat Brief Psychotic Disorder, which I’ve had, secretly, for years.

When I take my meds as prescribed, I’m an atheist and a skeptic. In this state, I can easily handle many science and mathematics problems, well enough to teach at the high school level in both subject fields. If I miss a dose or two, however, one of the first set of symptoms that appears is religious beliefs, seemingly coming out of nowhere.

Later, when I’m medicated again, it becomes clear that those religious beliefs were actually delusional. I don’t think I’ve ever had a non-delusional religious belief.

I try, hard, not to miss doses.

A Tessellation Featuring Regular Enneagons and Triangles, as Well as Non-Convex Octagons and Dodecagons

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A Tessellation Featuring Regular Enneagons, Regular Hexagons, Squares, and Isosceles Trapezoids

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Two Black, Stellated Polyhedra, Rotating in the Dark

The polyhedron shown above is the final stellation of the icosahedron, while the one below is the rhombic triacontahedron’s final stellation. I made these using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.

A Symmetrohedron Featuring Twenty Equilateral Triangles, Twelve Regular Decagons, and Sixty Isosceles Triangles

I made this using Stella 4d, which you can try for free right here: http://www.software3d.com/Stella.php.

An Augmented and Excavated Icosidodecahedron

To make this, I augmented the pentagonal faces of an icosidodecahedron with pyramids, while the triangular faces of this icosidodecahedron had pyramids excavated from them. The result, as you can see, looks like an icosahedron with tetrahedral indentations is the middle of each face. I made it using Stella 4d, which you can try for free at http://www.robertlovespi.net/Stella.php.

A Rhombicosidodecahedron, With Its Faces Augmented by Inverted Cupolae

Here’s a second view, in “rainbow color mode.”

I made these using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.

View From the Third Moon (from 2005)

Acrylic on canvas, 16″ x 20,” 2005.