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#quantamagazine

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33-year-old mathematician Wang Hong from the Courant Institute of Mathematical Sciences (CIMS-NYU) has proved the century-old Kakeya conjecture in three dimensions with collaborator Joshua Zahl!

The problem is rooted in the question: what's the smallest area that an infinitely thin needle can sweep out if it has to be turned to point in every possible direction?

News:
[1] scmp.com/news/china/science/ar
[2] english.jagran.com/world/chine

2023 piece from Quanta Magazine on their earlier progress on the problem:
quantamagazine.org/new-proof-t

@tao
#WangHong #CIMS #NYU #JoshuaZahl #Kakeya #KakeyaConjecture #ThreeDimensions #Needle #Geometry #QuantaMagazine #Conjecture #AdvancingMaths #Maths #Mathematics #CenturyOld #Tao #TerenceTao

   
❛❛ Teen #Mathematicians Tie #Knots Through a #Mind-Blowing Fractal ❜❜

Three high schoolers and their mentor revisited a century-old #theorem to prove that all #knots can be found in a #fractal called the #MengerSponge.
Gregory Barber for #QuantaMagazine

🔗 QuantaMagazine.org/teen-mathem 2024 Nov 26 ce
🔗 Wikipedia.org/wiki/Menger_spon#MengerSponge
🔗 Wikipedia.org/wiki/Topology#Topology