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The Heilbronn Problem

2 days ago
  • The Heilbronn Problem aims to place n points in a unit-area region to maximize the smallest triangle area formed by any three points.
  • The site collects best known configurations for three classic containers: the square, the triangle, and optimal convex regions, with detailed entries including coordinates, symmetry analysis, references, and an in-browser verifier.
  • A table of recent records shows improvements from September to October 2026, contributed by researchers such as Rob Gardiner, Alexandar Lackovic, and Marc-Emmanuel Coupvent des Graviers.
  • Best known values are provided truncated to 8 decimals, with some entries marked as proven optimal.