Latest Posts by takinbreak - Page 2
“ok is this math really useful though what’s the point of it existing does it matter or is there no practical application” alright. if you write a poem does it matter? Is there an application? What if I killed you
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!
Mathematician with a LaTeX fetish.
parents got a new cat they named lord montague and this morning i heard my dad in the other room say "i would have to advise against that decision, my lord" followed by a crashing sound
this deserves to be its own post. like yes. totally endorsed.
Just like your system is formal and effective.
Math affirmations:
You are necessary and sufficient.
if i was a scientist it would be so tempting to form conclusions based on my gut feeling and then work backwards to support them... it would feel sooo good
Mathematics people interested in either learning about the Peano axioms of natural numbers (how do you prove a+b = b+a) or interested in learning a proving assistant (Lean) should DEFINITELY check out the natural number game. This is a game which teaches you both of these things step by step, and has you construct the natural numbers and their most important properties from the very basic axioms. Even if you just like logical puzzles and are interested in a bit of mathematics you should check it out!
sounds like a jane austen book title
The intimacy of reassurance.
touching grass is not enough sometimes. sometimes what you actually need to touch is a math textbook
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 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”)
lie algebras imply the existence of truth algebras
'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.
Hickory WHAT-ory Dock??? Agatha, you lascivious concubine…
👀
Double the childhood trauma I love it
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.
happy Angel Crowley today 🥹
i just realised there are people out there who don't know about proof by mathematical induction. the world is a dark dark place
why is everything named after euler
# prftrrhrhdhrhe yes
you’re out here following neil gaiman when you could “kneel” for a gay man
fractal geometry RULES, I wanna makeout with a mathematician now
I was dicking around in polar coordinates last night and I found something... extensible.
r = sqrt(sec(2θ)), an ordinary hyperbola. One of the five conic sections. In Cartesian coordinates x^2 = y^2 + 1.
r = sqrt(sec(3θ)), a triperbola :)
And now here's r = sqrt(sec(aθ)) for some other values of a:
a = [1/2 2/7 6/1 5/2 3/5 5/9]