Parents Got A New Cat They Named Lord Montague And This Morning I Heard My Dad In The Other Room Say

Reblog if you ARE a woman in STEM, SUPPORT women in STEM, or ARE STILL BITTER about Rosalind Franklin not getting credit for discovering the structure of DNA and the Nobel prize going to Watson and Crick instead.

lie algebras imply the existence of truth algebras

^ 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.

this deserves to be its own post. like yes. totally endorsed.

well?

Mathematical dual? Aint that the same shit that got Galois?

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

Hickory WHAT-ory Dock??? Agatha, you lascivious concubine…

touching grass is not enough sometimes. sometimes what you actually need to touch is a math textbook

cant wait to do math research and write a proper thesis with people with the same ambition, I just need to learn the tools and broaden my own - my life goal