SMRTR Science & EngineeringMay 19, 2026Scientific American

‘Sensational’ proof topples decades-old geometry problem

SMRTR summary

Three mathematicians just proved a 30-year-old geometry conjecture that its own creator, Michel Talagrand, never believed was true. The proof shows that even in billions of dimensions, simple orderly shapes can be built from scattered, chaotic points using a surprisingly straightforward process. Antoine Song cracked the problem by connecting it to probability theory, with Stefan Tudose providing the final key piece — beating out a ChatGPT-generated solution.

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