# Heilbronn convex n=25 # value (exact area implied by these coordinate literals): 0.00887742378428225896456099174836 # 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; dual-verified (a/b agree exactly); all 25 points match the published record figure 1:1 after mirror alignment (mean 0.75px, max 2.0px)) # via: https://math.tejstead.com/heilbronn/convex/25/ 55.740106456302552 51.82063520884948 114.729293559294304 77.372220679526656 176.896737329793888 82.186541676203312 213.794172462247424 100.62404980418152 67.780258346319088 117.16870093873416 82.111490923084464 145.997295226340064 163.466486392094336 207.810917242521824 64.140913524536248 9.868395910086872 215.807257096202784 132.848503403887072 176.598098464831552 148.27710611280672 65.797577436353704 220.66958542485984 98.949528553453696 228.479419835124448 99.482252437304272 6.915124857477364 163.730359795735456 20.814710707964244 191.465372119342304 35.989054347935072 123.854864826342416 38.446372695328 83.46103234171504 84.643377508345616 142.108995102104096 99.223894212516464 27.058220393855196 116.971441618062976 142.256220358961408 132.003635103778576 115.791271473322848 153.048042650795808 56.680836375759032 177.779864914451808 16.212585746236382 179.05249812579312 124.536492293805456 190.210901722171712 190.430339703611104 190.036983304689152