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Clayton Shonkwiler
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One issue is that `"Hexagon"` is not a pre-defined texture. You'll need to make your own hexagon image that you want to use as a texture. For example, this code: hex = With[{t = 0., cols = RGBColor /@ {"#7696DB", "#562D7D"}}, ...
![Conformal image of parallel lines][1] ![Conformal image of parallel lines][2] **Rise** This is basically the same setup as [_Vanishing Point_][3] and [_:eyes:_][4], conformally mapping an infinite strip into the region between two circles,...
![Conformal image of a vertical grid][1] **Vanishing Point** This is essentially the same setup as [:eyes:][2]: the map $f(z) = \frac{-4i}{z}$ maps the infinite strip $\{z \in \mathbb{C} : 1 \leq \operatorname{Re}(z) \leq 2\}$ to the region...
![Minimum-stick 9-crossing knots][1] **Nines** In our paper ["New stick number bounds from random sampling of confined polygons"][2], my graduate student Thomas D. Eddy and I found many examples of polygonal knots made with fewer edges than...
![Inverse Cayley transform of rotating grid of circles][1] **Rotation Redux** A [recent post by Dave Whyte (a.k.a. @beesandbombs)][2] on Twitter reminded me of my old GIF [_Rotation_][3], which is almost 5 years old (and dates back to before I...
![Fourth power of a square grid in the complex plane][1] **Fourth Power** Continuing the series of conformal transformations ([1][2], [2][3], [3][4]). The first part shows a square grid in the first quadrant under the transformation $z \mapsto...
![Conformal map of upper half-plane to triangle][1] :christmas_tree: The [Schwarz–Christoffel mappings][2] are conformal transformations from the upper half-plane (or unit disk) to convex polygons; the existence of such maps is guaranteed by...
![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