Mathematics I Haven’t Learned Yet Is Mysterious, Almost Religious In How It Tantalizes Me.

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

I spit out my drink lmao

now… imagine tau… τ

let pi=9

­

what the fuck is morbius even about

cavetown music is a soft blanket and warm tea in your favorite mug and a cat sleeping on your lap and a tight hug and someone telling you to take deep breaths in soothing tones and looking at your reflection in the mirror and finally feeling like maybe things will be alright

I love the fact that it’s commonly believed the writer (and mathematician!) Lewis Carroll could have done a math diss on quaternions, their unintuitive multiplication and their non-commutative nature in the Mad Hatter scene in “Alice in Wonderland”.

“Why, you might just as well say that I see what I eat is the same thing as I eat what I see !”

All credits to 3Blue1Brown on Youtube (Video: “Visualising quaternions (4d numbers) with stereographic projection”)

Good Omens 2 appreciation post for that moment after Nina has just rocked Crowley's world with the revelation that no, he isn't slick and yes, it is glaringly obvious to everyone just how head over heels in love with Aziraphale he is.

Crowley takes himself off to the french restaurant and is drowning his sorrows in a bottle of wine while having the realisation that he's been following the angel around like a lovesick puppy all day with no other possible agenda other than to be around him.

And then he sees Aziraphale and whistles him over but the angel is too busy to join him for a wine in the middle of the day and Crowley tries to divert questions by complaining that he's scared Gabriel/Jim is gonna smite him and he'll be well and truly smote, no, smoted? Smited? What's the word he's looking for?

And the angel gives him a knowing look and says:

"Smitten, I believe."

PERFECTION.

GRAMMATICAL CORRECTION AND DIAGNOSIS IN A SENTENCE.

AZIRAPHALE JUST READ HIM LIKE A HIGHLY COLLECTIBLE BOOK AND DOESN'T EVEN REALISE HE HIT THE NAIL ON THE HEAD.

This is my new favourite double entendre.

Smitten as the past tense of Smite. And the exact reason Crowley is drinking in the middle of the day.

He's realising he's smitten, your honour.

I hope Neil closed the laptop with a dramatic flourish after writing that line. Hell if I'd written a moment that perfect I'd take a victory lap of the kitchen and then call someone to tell them how clever I'd been before I pop.

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.

Looks like we can't reflect, rotate, translate our way out of this one boys.

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