The Heilbronn Problem

58 points by tejstead a day ago on hackernews | 11 comments

Place n points in a unit-area region such that the smallest triangle determined by any three points achieves the largest possible area, A(n).

This site collects the best known configurations across three classic containers: the square, the triangle, and optimal convex regions. Each entry includes exact coordinates, symmetry and congruence analysis, references to published proofs, and an in-browser rational arithmetic verifier.

Recent records

The ten most recent improvements. New records are also published as an Atom feed.

Best known values

Truncated to 8 decimals; ▲ marks entries proven optimal.