I love the plots made with this method, they really make mathematical functions *pop*! Please let me know what you think about this video! I am trying to experiment with different styles to get content out more quickly. I admit that there are a few places I stumbled over my words, but overall, I think it turned out pretty well and took 10x less time to make than my normal content. Thanks for watching and I hope to see you next time!

I would love to hear your rant about your thesis.

I’m so glad to see you making videos here again, you’ve got a real knack for describing algorithms simply without simplifying them too much, and having some fun playing around with them. Keep up the awesome work.

Could you put the thesis rant in a separate video? I'm interested in what it's about!

As an idea for a topic, Automatic Differentiation seems like something that might fit well with the channel, and maybe you’ll learn a little Haskell along the way.

nice. :)

1:14 "If my youtube comments have taught me anything, it's basically impossible to understand 4 dimensions in any intuitive way" The Tesseract video comment section is full of people joking about it being hard to understand, but also stuff like "I'm 12 and fully understand this", so LeiosOS might be subtly mocking those kids.

Sweet video! Awesome plots!

Bruh I have been wondering this for so long.

New subscriber. You planted a seed composed of equal parts detail, rigor and rapidity.

Definitely late to the party here, but really incredible video! Really helped me understand domain coloring :)

I've never seen a Twitch chat in a bitmap font! Looks nice. I looked it up, I didn't know Twitch had an an IRC interface.

Damn I'm excited about this.

I did some fun stuff with domain coloring before, but I focused on H and L from HSL space. This looks really cool, I might have to implement it real quick and have a go at the functions I was using before.

Nice to see that I'm not the only one who uses Xournal++. It's a great piece of software!

Thank you for posting

This is awesomeeeee

This reminds me glsl shader programming. A good way to start to 'see' maths.

You might also want to use a different colour space that is more uniform, just so that perceived lightness and saturation don't change as you change hue. Things like cielch or something.

Oh man, I really wanted to hear about the phase discontinuity rant! Oh well, the rest is cool too I guess.

when repeated sin(z) is nice :) i^z is not really, but is for a while darker towards zero is nice too

4:20 it's interesting that when I look at this I don't see a ring of slowly increasing saturation, but spikes of color on a white background

Love this video seriosuly

3:28 ohhhh tell me your thesis more ! I don’t mind !

Clarifying comment about integers in *C* This is a union of the sets { *Z* u i *Z* } right? So a complex integer could be 1+1i, as an imaginary integer is 1i, 2i, etc. Also, nice video!

Is there the original discussion? Like for the phase discontinuity

Dont cut the unnecessary ramblings, they may contain the most interesting bits for some.