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How few vertices can a triangulation of $\mathbb{RP}^5$ have? The paper presents a 6-dimensional centrally symmetric simplicial polytope whose antipodal boundary quotient gives a 24-vertex triangulation, far below previous constructions in the Adiprasito-Avvakumov-Karasev line.
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The construction reduces to a 240-variable optimization over centrally symmetric point sets on the sphere; "we used Google DeepMind's AlphaEvolve as a way to do black-box optimization and ran a large number of instances" before finding the 48-point configuration the triangulation is built from.
Provider: Google DeepMind · Prompt public: unknown · Independence: unknown
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A record, not an endpoint: whether fewer vertices suffice is posed as an open question in the same paper.
Source-reported tools: construction.
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VibeMath has not independently audited the mathematical statement, proof, or novelty claim.