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Clayton Shonkwiler
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![Inverse Cayley transform of level sets of log][1] `:globe_with_meridians:` Take level sets of the real and imaginary parts of the level sets of $\frac{1}{\pi i} \log z$ in the upper half plane (i.e., the real part is the standard solution of...
Apparently emoji are not supported here? I tried to post this with the actual eyes emoji rather than ":eyes:", but got a "Message board not available" error. /cc [@Vitaliy Kaurov][at0] [at0]: https://community.wolfram.com/web/vitaliyk
Yes, you're quite right. I realized after the fact that I'm doing something much bigger than the modular group, but never went back and corrected the description. And thanks! Nice to virtually meet you.
![Stereographic projection of rotating cube vertices][1] **Cube Life** The basic idea is simple: I'm rotating the cube around the axis $(1,1,0)$ and stereographically projecting the vertices to the plane. Or rather, I'm thinking of the...
By summing over both $i$ and $j$ you’re adding up the entries in the contraction. What you presumably want is something like Table[Sum[?2[[i, j]]*f[[j]], {j, 1, 3}], {i, 1, 3}] Of course, as [@Hans Milton][at0] points out, this is the same...
![Morph between +3-framed and 0-framed 200-gon][1] **Framing** An animated version of a [graphic][2] I produced for my paper ["Stiefel manifolds and polygons"][3], which appears in the _Proceedings of Bridges 2019: Mathematics, Art, Music,...
![Stereographic projections of rotating regular polygons][1] **Off the End** Each horizontal row shows the stereographic projection to the line of (the vertices of) a rotating regular polygon. The middle row shows the image of the vertices of...
![Stereographic projection of random sphere paths][1] **School’s Out** This one is very much the same idea as [_Pathways_][2]: basically, a bunch of random points on the sphere undergoing two simultaneous random rotations. There are three main...
![Some random paths on the sphere][1] **Pathways** This was inspired by some [very cool pieces by Caleb Ogg][2]. The basic setup is that I choose 20 random points on the sphere... spherepoints = Normalize /@...
![Rotating truncation of the tetrahedron][1] **Five Easy Pieces** Practically the same idea (and code) as [_Give Me Some Space_][2], just truncating the tetrahedron rather than rectifying it. The code for the `Manipulate` is below; when...