"…the notation \(-1\le x\le 1\) is not mathematically correct because \(\le\) is a binary relation."

As mathematical takes go, this is one of the weirdest I've ever seen, and this is from someone who says he's a mathematician. I guess something like dlmf.nist.gov/10.21.E2 will give him conniptions.

Some older work: domain coloring on the Riemann sphere, implemented in WebGL shadertoy.com/view/wls3WB

On the lighter side, here's some old artwork I did based on polygon substitutions, inspired by some of Andrew Glassner's previous work.

I'm not a slouch by any means, but lately, I've felt even more compelled than before to write up and document all of the research I've ever done. I'm now writing with a feeling like I'll never be able to write anymore tomorrow. Sadly, there is only one of me to write the whole damn thing up.

...and here's one of those trippy things I wrote for giggles: shadertoy.com/view/3tl3Wl

I hope I could get time to do math art again. For now, please enjoy this experiment with using Perlin noise to texture a seashell-like surface. (Made with Mathematica, as always.)

Confession: Most of the time, I live in fear of becoming a crank, despite other people's insistence to the contrary.

Apart from math, I also do chemistry stuff from time to time. Considering that this was what I have a degree for, it's perhaps surprising I don't do it often.

I haven't posted here in a while, but I do have a Ko-Fi now, if you're interested in the stuff I make or I have made: ko-fi.com/B0B110V17

Also did something on rolling squares, if you prefer something less advanced: shadertoy.com/view/3tXGzS

I'm well aware I have been quiet in quite a while. In the meantime, here's a domain coloring plot of the Weierstrass ℘ function written in GLSL, and demo'd on Shadertoy: shadertoy.com/view/WtXGzs

On matters of notation: sometimes your convenience is my confusion.

As I get older, I've increasingly found myself in the situation where I find some write-up on the Internet that I think to be nifty, and then find to my surprise that it was actually written by my younger fool self.

An animation of successive approximations to the prime-counting function \(\pi(x)\) using zeroes of the Riemann zeta function \(\zeta(s)\). See doi.org/10.1090/S0025-5718-197 for further details.

...and a domain coloring plot of the zero-order first Hankel function, as once depicted in Jahnke and Emde (people.math.sfu.ca/~cbm/aands/).

Some more domain coloring stuff: here is a modern depiction of an altitude chart for the Faddeeva function, as depicted in Abramowitz and Stegun (people.math.sfu.ca/~cbm/aands/).

It is not very well-known that if you roll an ellipse on a congruent ellipse, the focus will trace out a circle.

Rolling regular polygons over piecewise catenary roads is already classical at this point. What about rolling Reuleaux polygons instead?

...and one more before I leave the Internet café: a minimal surface constructed using Björling’s formula on a helix.

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