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3D geometry

2 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
Machine Heart
Machine Heart
Jun 22, 2026 · Artificial Intelligence

PAIWorld Tops WorldArena Ranking, Showcasing Industrial Embodied AI Breakthroughs

PAIWorld achieved the highest overall score of 72.31 on the WorldArena benchmark, excelling in motion smoothness (95.41) and trajectory accuracy (7.4 points ahead of the runner‑up), while its architecture leverages 3D geometry priors, Geo‑RoPE encoding and multi‑view attention to deliver precise long‑term, physically consistent simulations.

3D geometryPAIWorldWorldArena
0 likes · 6 min read
PAIWorld Tops WorldArena Ranking, Showcasing Industrial Embodied AI Breakthroughs