Some degree-4 surfaces #maths #mathematics #maths

[sea-saw]

I will never understand how people build an intuition with implicit equations like this

[moyrml]

This is beautiful. Studying calculus it always bugged me that we can't "see" the planes, paraboloids and spheroids (and whatever ungodly intersection we had to calculate ). We'll this is that! Math is beautiful.

[tehfn]

You did this with shaders didn't you. DIDN'T YOU !
Goddamn geniuses with their maths and coding skills.

[Jko]

BIG fan of these surfaces they are all so splendid

[realcygnus]

Nifty AF! I'm sure everyone would appreciate it if you could find some time to do another livestream or even just a new tut vid of some sort. Any kind of update would be great. Though shorts are better than nothing & may even be preferred by some if not most.

[AnthonyDavisw]

You inspire me to get more maths practice in my daily life. Tha k you for posting she short form videos. I always have your "painting with maths" vieo up on some tab for when im want to watch some wrinkle content. But this is so much more fun for me to consume and get inspired.

[MarcoCaruso]

The thing that most intrigues me is how you blend from one equation to another. Given two different equations, what is the operation that you do? Awesome job anyway 🔥

[carbunclegrim]

love the four legged one, I think i know what i will be coding into Mandelbulber tonight

[DaveAlexKD]

This reminds me of that Windows 95b screen saver. Really cool.

[KilgoreTroutAsf]

There's a mistake in the equation of the third closed curve. The last term should be -2z^2.

[abbyb]

seeing the math not in shader form (on your channel) was unexpected, love your work!

[carbunclegrim]

That was fun, the 4 legged one (or some reason i needed .0.3 instead of 1/3), but i wrote it as pow()s as i have been meaning to test openCL pow() versus integer pown(). Definitely faster but not nearly as fast as after optimising. Thanks

[Tetsujinfr]

Real cool tracking (and 3d renders too of course). Love it. Will show it to my son to give him some maths inspiration. Thanks Inigo

[andrewdunbar]

Nice but I'm waiting to see degree-two-point-five surfaces.

[AlexTuduran]

I thought it was real. How did you render this?

[Freddddyyy]

Is there a theorem that classifies the surfaces you can describe with polynomials of degree 4 or n?
I remember doing that for n=2 in linear algebra

[kylepena]

How do you determine step size on an implicit when marching?

[theman]

Is it possible to use these formulae in webgl?

[mmbyron]

I like how a lot of those are very peculiar shapes and then...bowl😂

[Kdev]

Are you creating the shaders inside blender or something similar and tracking the camera? or how are you rendering the shaders so good into real footage?