Mixed-integer nonlinear programming with symmetry breaking computes epsilon-optimal solutions for Heilbronn's triangle problem up to n=9 in minutes and recovers exact coordinates matching prior best-known configurations.
Heilbronn’s problem of eight points in the square
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From Computational Certification to Exact Coordinates: Heilbronn's Triangle Problem on the Unit Square Using Mixed-Integer Optimization
Mixed-integer nonlinear programming with symmetry breaking computes epsilon-optimal solutions for Heilbronn's triangle problem up to n=9 in minutes and recovers exact coordinates matching prior best-known configurations.