# Heilbronn convex n=31 # value (exact area implied by these coordinate literals): 0.00521473267358314365559030769256 # domain: convex hull of the points; value = min triangle area / hull area (scale-invariant) # 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) # via: https://math.tejstead.com/heilbronn/convex/31/ 106.987627182878896 20.059472677389984 200.103433240160256 84.381467110400784 59.529771189642488 169.602256411982208 132.247303021612112 4.897701053623436 25.365054657927844 39.555608466163384 167.819033063260128 39.88051379617492 10.478796802485334 60.031009935227392 59.570713832879168 62.946351326641296 17.095780492078614 88.754415800502208 43.231074448957784 147.136064109642304 200.078866955606336 148.376830050926016 25.306173321045132 192.941950465205728 167.760319582603136 192.829589017295168 106.913730903390352 212.559857318140288 156.318045644601344 12.740807297594546 54.71622319414836 37.009129963795208 118.280375527744896 43.9090083590924 144.662875191372608 52.505367477890032 43.25477796770164 85.38821283590368 180.92373806806352 102.487493742194816 222.331755142895168 103.734382782524224 108.843653012537024 116.120533333333328 222.322034362910816 129.057090487738832 180.913083703190624 130.242197366374144 10.435644018014412 172.444350180053504 144.613867727519072 180.170193195252224 118.224783304271392 188.727184263877344 54.655369982950672 195.532219938837152 156.238502192633792 219.95212030784448 132.161751797217104 227.759308112874848 17.074676364266452 143.730833415388672