I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet.
The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.
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 a long time.
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 thought.
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.
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.
This isn’t quite a near-miss to the Johnson solids, so I’m calling it a “near near-miss.” It could also be classified as a symmetrohedron. The pentagons and triangles are regular, but the red triangles have edges which are about 12% longer than those of the yellow triangles. The blue faces are isoceles trapezoids.
I found it while playing around with the great rhombicosidedcahedron using Stella 4d, which you can try for free right here.