#Introduction Hello, I am Florian, aspiring model theorist and geometer and not quite a PhD student yet, but I am doing my best to become one soon.
Scientists Uncover the Universal Geometry of Geology (Quanta): https://www.quantamagazine.org/geometry-reveals-how-the-world-is-assembled-from-cubes-20201119/
This is all a bit mystic and breathless and woo, but what it really seems to boil down to is that if you subdivide space by randomly recursively splitting by planes (like a 3d Gilbert tessellation, https://en.wikipedia.org/wiki/Gilbert_tessellation) then the average number of sides per bottom-level polyhedron is six.
Origami Fibonacci torus and knotted torus: https://www.youtube.com/watch?v=LdnvxN4UUfs
I have the impression that the Fibonacci part just gives it a nice organic look (visible in much of Akio Hizume's other architecture at http://www.starcage.org/englishindex.html) but what interests me is the way it rotates smoothly. That's not something unfolded paper can do, because the inner parts of a torus have negative curvature, the outer parts are positive, and unfolded paper can't change curvature.
Wonderful mathematical reading:
"Here you can find a variety of mathematical texts on many different topics. One section is related to the “snapshots of modern mathematics from Oberwolfach”, the other section offers general background material connected to our exhibits and projects. We hope you enjoy your read!"
Tom Lehrer has released his songs and lyrics into the public domain.
What a nice thing to do.
Maybe it's time to update my #introductions pinned toot...
Hey there! I'm a #maths MSc student at University of Helsinki, Finland. I'm specializing in #stochastics, doing quite a bit of analysis alongside. I also sometimes blog about fun maths in Finnish, at www.nollakohta.fi.
I've been a hobbyist programmer for like 2/3 of my life, presently interested in #compilers. In addition to computer languages, you can reach me in Finnish, English, Swedish and French.
A problem of mine appears in the most recent Mathematical Gazette:
"Two unit squares are drawn in the plane with their edges parallel to the coordinate axes and their centres chosen randomly and independently in the region \(-1 \le x,y \le 1\). Determine the expected value for the area of their intersection."
Computer Scientists Break Traveling Salesperson Record: https://www.quantamagazine.org/computer-scientists-break-traveling-salesperson-record-20201008/
I linked to this back in July (https://mathstodon.xyz/@11011110/104465689831962167) when Karlin, Klein, and Gharan's preprint https://arxiv.org/abs/2007.01409 giving a \((3/2-\varepsilon)\)-approximation to TSP first came out, but now it's getting wider publicity in _Quanta_.
See also an earlier (paywalled) piece on the same story in ScienceNews: https://www.sciencenews.org/article/shayan-oveis-gharan-theoretical-computer-scientist-sn-10-scientists-watch
Math Student (BSc + MSc)¹. Sews, codes and draws.
 I'ts complicated
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