An AI-guided search produced a 24-vertex width-6 prismatoid, giving a 19-dimensional non-Hirsch polytope, the smallest known, plus new bounds for monotone paths and neighbourly polytopes.
The width of five-dimensional prismatoids
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Advancing Geometry with AI: Multi-agent Generation of Polytopes
An AI-guided search produced a 24-vertex width-6 prismatoid, giving a 19-dimensional non-Hirsch polytope, the smallest known, plus new bounds for monotone paths and neighbourly polytopes.