# Heilbronn square n=31 # value (exact area implied by these coordinate literals): 0.005390372201973840243860184477 # domain: unit square [0,1]^2; value = min triangle area # credit: found by Nathan Sudermann-Merx, August 2026 # coordinates: heilbronn-site reconstruct/reconstruct.py (re-polished from the published record figure — the record holder's arrangement with re-derived coordinates; dual-verified (a/b agree exactly); all 31 points match the published record figure 1:1 (mean 2.0px, max 3.5px at figure scale)) # via: https://math.tejstead.com/heilbronn/square/31/ 0.060705080531101 0.070544481749148 0.349744855030382 0.88011546614338 0.139884264538721 0.329615796326014 0.486478036038338 0.017066724354423 0.887215478611714 0.676483637039141 0.621238803156969 0.266751831534538 0.96058048973233 0.502900671196852 0.737698118774928 0.383833836043228 0.385096541223049 0.269440384941404 0.952189343529227 0.080725205102776 0.077272712243626 0.929382145056375 0.21067550730194 1 0.833836707678985 1 0.02878158665234 0.822899490995054 1 0.809693292046929 0.383693323077871 0.744680613435455 0.627827903226286 0.737852879732111 0.879877318356428 0.338051793700133 0.335753707015996 0.120739930644236 0.192268832528262 0 0.943979687620414 0.952457018269038 0.674983334859788 0.874396855209141 0.145110931592641 0.675446290399374 0.282269920781773 0.631749848590809 0.738972099528968 0.622103309236413 0 0.423748409426059 0.27118082095697 0.372570478629494 1 0.194889675532098 0.011570765030785 0.178833421603384 0.664401980249006 0.129527897655115 0.823950939771952 0