Kakeya

Further reading

1. ‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture Quanta Magazine, 2025

   The news story of the proof. No mathematics required.

2. Hong Wang Wins the 2026 Fields Medal Quanta Magazine, 2026

   The medal that followed, and the person behind it.

3. Kakeya set Wikipedia

   The reference: history, pictures, and every variant of the problem.

4. The Kakeya Needle Problem Alan Chang, lecture notes, 2020

   The construction on these pages, worked out step by step. Comfortable with school geometry? Start here.

5. The Three-Dimensional Kakeya Conjecture, After Wang and Zahl Terence Tao, 2025

   What the proof does and why it matters. University mathematics helps.

6. A Survey of the Kakeya Conjecture, 2000–2025 arXiv, 2025

   Twenty-five years of attack routes, for mathematicians.

7. Volume Estimates for Unions of Convex Sets, and the Kakeya Set Conjecture in Three Dimensions Hong Wang and Joshua Zahl, 2025

   The proof itself. One hundred and twenty-seven pages.