Wrestling Is The New Shakespeare, Its Sadly True

'Let n be an integer' Why should I let it? I don't think n has behaved well enough today to be an integer. Maybe if n behaves better tomorrow I'll let it be an integer.

well, google, one of them is a giant fuckin red dog

Any point on torus lies on four circles on torus.

i just realised there are people out there who don't know about proof by mathematical induction. the world is a dark dark place

sketchbook

how does it work? why does it work? what are people even saying anymore? is neil gaiman legit on tumblr????

the first four important questions ive asked on this hell site.

this. this is me. every single morning.

🍂*wakes up and stretches realizing my new form*🍂

I realized I hadn't shared this here yet! Here's my 3D printed Quaternion Julia Set! See I first learned of these things reading about it from a pretty well known graphics programmer Inigo Quilez. Theirs are a lot prettier! But yeah, if you're familiar with Julia Sets and the Mandelbrot set already, this is basically that but we use 4D complex numbers called quaternions instead of the regular old complex numbers.

The original shaders I used to render them were unity CG/HLSL implementations, but this particular one is from a GLSL implementation over on my shadertoy you can find here: https://www.shadertoy.com/view/tdt3W8 It isn't exactly the same one that I've printed here (I've long lost the exact seed) but it is reasonably close. The way I printed it was I stole some marching cube code for blender and just plugged in the SDF function derived by Inigo Quilez, tweaked the values and eventually got a mesh I can print!

This uh, isn't the one I used lol. It did take a few tries to get one that was both visually interesting and also printable. In fact i wasn't even using the marching cube algorithm at first. I was using Poisson Surface Reconstruction with a python script that casted points to form a point cloud. Basically I was attempting to create a mesh like you would with photogrammetry, just with an abstract object rather than an actual thing or place.

The results were, well not good lol.

*Continues digging through box* I know its around here some where, I should have the one that works. Okay this still isnt it but this one is using the same method, I just wanted to use this for a vrchat world instead of using it for 3D printing. It gets the point across lol

But yeah. 3D printing is really cool if you're into a bit of math

^ this

"Letters weren't supposed to be used in maths. Maths would be easier if it didn't have letters." Actually it would be harder.

I appreciate abstraction isn't easy for everyone but mathematics is better off for it.

just discovered the site “underground mathematics”, and only now i feel like ive entered the dark web of maths. spooky.

talking about web, i cant forget to mention the fact that the whole site and mathematics is organised along TUBE LINES like the LONDON UNDERGROUND !! now if that isn’t a graph theory reference i dont know what is!