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Kakeya conjecture

3 articles · Page 1 of 1
Data Party THU
Data Party THU
Aug 4, 2026 · Fundamentals

Why AI Can’t Crack the 3D Kakeya Conjecture – A Deep Analysis of Wang Hong’s Breakthrough

The article examines the century‑old 3D Kakeya conjecture, explains why the problem is dramatically harder than its 2D counterpart, reviews historic attempts, details Wang Hong’s multi‑scale proof that finally settled the conjecture, and argues that current AI lacks the strategic creativity to achieve such breakthroughs on its own.

3D geometryAI limitationsFourier analysis
0 likes · 15 min read
Why AI Can’t Crack the 3D Kakeya Conjecture – A Deep Analysis of Wang Hong’s Breakthrough
Old Zhang's AI Learning
Old Zhang's AI Learning
Jul 27, 2026 · Fundamentals

Exploring the Kakeya Conjecture: A Codex‑Powered Interactive Lab After Wang Hong’s Fields Medal

The article explains the history and recent proof of the three‑dimensional Kakeya conjecture, describes how the author used Codex to create an interactive Three.js experiment that visualizes the conjecture, and outlines a reusable workflow for turning complex scientific ideas into accessible web demos.

CodexFields MedalInteractive Visualization
0 likes · 11 min read
Exploring the Kakeya Conjecture: A Codex‑Powered Interactive Lab After Wang Hong’s Fields Medal
Machine Learning Algorithms & Natural Language Processing
Machine Learning Algorithms & Natural Language Processing
Apr 19, 2026 · Industry Insights

Chinese Mathematicians Wang Hong and Yunqing Tang Win the Mathematics “Oscar”

The 2026 Breakthrough Prize announced its New Horizons in Mathematics winners—Wang Hong, Yunqing Tang, Otis Chodosh and Vesselin Dimitrov—highlighting Wang's solution of the Kakeya conjecture, Tang and Dimitrov's breakthroughs on the unbounded denominators conjecture and a new irrationality result, and Chodosh's advances in differential geometry, with a total prize pool of $18.75 million.

Breakthrough PrizeDifferential GeometryKakeya conjecture
0 likes · 8 min read
Chinese Mathematicians Wang Hong and Yunqing Tang Win the Mathematics “Oscar”