God I Hate When People Do That. Bonus Points For "so The Exam Was Super Easy. What Did You Get?"

yeah I say that I'm vegetarian because the texture of meat fucks with my sensory issues. I would know if the meat in my meal was real and I would probably throw up and have a meltdown, then proceed to have my day ruined. I can't believe someone actually could put me in such a position jfc

Look I clown veganism often enough but really, truly, don’t ever fucking feed somebody something without their knowledge or consent. It’s hugely fucked up and not OK.

fun fact! did you know that you can gain extra ‘forbidden time’ by staying up late in the night? but Watch Out

Weaving Stereographic Projection

I made a stereographic projection by weaving paper strips!

Here's a Julia package for the computation of the shapes of the paper strips.

GitHub

GitHub - hyrodium/ElasticSurfaceEmbedding.jl: The weaving paper strips: shape optimization by geometric elasticity

The weaving paper strips: shape optimization by geometric elasticity - GitHub - hyrodium/ElasticSurfaceEmbedding.jl: The weaving paper strip

Japanese blog post about this: https://note.com/hyrodium/n/n7b7cf03a7d91

maybe a littel late for Real’s Math Ask Meme 18, 6 and 3, please?

hi, thanks for the questions!

3: what math classes did you like the most?

tough choice! for the content itself I'd say abstract algebra, commutative algebra, analytic functions and algebraic topology. for the way the class was taught, a course on galois theory I took last semester was probably the best. the pace of the lecture allowed me to learn everything on the spot, not too fast, but not so slow that my mind would wander. the tutorials were also great, because the teacher found the perfect balance between explaining and showing the solutions, and engaging us to think about what should happen next. the courses I mentioned above were also taught well, but the galois theory one was absolutely perfect

6: why do you learn math?

I enjoy the feeling of math in my brain. I can spend hours thinking about a problem and not get bored, which doesn't usually happen with other things. when I finish a study session I feel tired in a good way, like I spent my time and energy doing something valuable and it's very satisfying

18: can you share a good math problem you've solved recently?

given a holomorphic line bundle L over a compact complex manifold, prove that L is trivial iff L and the dual of L both admit a non-zero section

this problem is quite basic, in a sense that you work on it right after getting started with line bundles, but I believe it to be a good problem, because it forces you to analyze the difference between trivial holomorphic bundles and trivial smooth bundles, so it's great for building some intuition

Square is a rhombus, regular hexagon can be tessellated with three equal rhombuses, and every regular polygon with even number of sides can be rhombi-tessellated.

Shortest math paper ever.

And with so much impact! It just disproved a widely accepted theorem from the year 1769 in 5 rows!!!

I'll never publish anything even remotely badass like this! But I want it so much!!!

today I learned that for a surface with boundary, which I believe we can say a straw is, the genus is equal to that of a 2-manifold obtained from attaching disks to the boundary. hence the straw has genus equal to that of a 2-sphere, which is 0, therefore a straw has 0 holes

also a straw is not homotopic to a torus I think, but rather to S¹, as it's a product of S¹ and a closed interval, which is contractible. a torus has the fundamental group S¹×S¹, thus they cannot be homotopy equivalent. buuut that requires the straw to be infinitely thin so maybe I'm too idealistic for this claim to hold and it is in fact equivalent to a torus

lmao I love math but I can't stop laughing at the fact that it took me two years of university to be able to have this discussion

I’m really into internet discourse but only pointless and stupid internet discourse like how many holes there are in a straw (it’s 2)

omg I want this so much, I could share my ideas and things I learned

I think tumblr should let us post diagrammes and graphs and tables. We can be trusted with math. I promiss.

in a way. over the last two years or so. mathematics has become the altar at which I pour out my private grief, and transmute it to something like solace. it does not particularly matter to me if I am ever any good at it. what matters is that the effort I apply to it is rewarded by understanding. I have no natural aptitude for it; I am climbing this hill because it was the steepest and least hospitable to me. there is less agony in the gentler slope, but less valor