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math.OC2026
Heilbronn's Problem in the Unit Triangle: Certified Optimal Configurations for up to
Nathan Sudermann-Merx
We study Heilbronn's triangle problem in the unit right triangle, where points are placed to maximize the smallest of the triangle areas they span. We prove a bo…
math.OC2026
From Computational Certification to Exact Coordinates: Heilbronn's Triangle Problem on the Unit Square Using Mixed-Integer Optimization
Nathan Sudermann-Merx
We develop a mixed-integer nonlinear programming (MINLP) approach for the classical Heilbronn triangle problem, demonstrating the capability of modern global optimization solvers t…