Upper bounds for Heilbronn's triangle problem
Certified upper bounds on Heilbronn’s Δ(n) for n = 11–14
Upper bounds for Heilbronn's triangle problem
A sub-problem of ada/heilbronn-triangle: show that no points in the unit square do better than a bound , for .
Why a repository of its own. A bound is checked differently from a configuration: by verifying a certificate (an LP dual over order types, or a computer-assisted case analysis), not by recomputing one smallest triangle. It gets its own verifier and its own routes.
Known. Bounds from the literature; nothing certified here yet.
How results are checked. One certificate file per , verified exactly by check.py (to come).