https://math.tejstead.com/heilbronn/Heilbronn problem: new recordsHeilbronn record tables2026-10-01T22:35:02Zhttps://math.tejstead.com/heilbronn/triangle/20/#A=0.01260939152864Triangle, n = 20: 0.0126093915 (+2.37%)2026-10-01T22:35:02ZRob GardinerNew best known value 0.012609391528641322, up from 0.012317956089522314; found by Rob Gardiner.https://math.tejstead.com/heilbronn/square/23/#A=0.00975728971331Square, n = 23: 0.0097572897 (+1.18%)2026-10-01T09:26:23ZRob GardinerNew best known value 0.009757289713314772, up from 0.009643319809002482; found by Rob Gardiner.https://math.tejstead.com/heilbronn/square/21/#A=0.01147376078570Square, n = 21: 0.0114737607 (+1.85%)2026-09-28T18:46:36ZRob GardinerNew best known value 0.011473760785701210, up from 0.011265852716080434; found by Rob Gardiner.https://math.tejstead.com/heilbronn/square/23/#A=0.00964331980900Square, n = 23: 0.0096433198 (+1.97%)2026-09-28T18:46:36ZRob GardinerNew best known value 0.009643319809002482, up from 0.009457434268315443; found by Rob Gardiner.https://math.tejstead.com/heilbronn/square/25/#A=0.00823006942652Square, n = 25: 0.0082300694 (+3.74%)2026-09-28T18:46:36ZRob GardinerNew best known value 0.008230069426525093, up from 0.007933175183761128; found by Rob Gardiner.https://math.tejstead.com/heilbronn/square/35/#A=0.00443228744430Square, n = 35: 0.0044322874 (+0.526%)2026-09-28T18:46:36ZRob GardinerNew best known value 0.004432287444307324, up from 0.004409104135564505; found by Rob Gardiner.https://math.tejstead.com/heilbronn/convex/31/#A=0.00630967070808Convex, n = 31: 0.0063096707 (+3.46%)2026-09-25T22:06:13ZAlexandar Lackovic with help of Opus 5.5New best known value 0.006309670708089580, up from 0.006098526527721162; found by Alexandar Lackovic with help of Opus 5.5.https://math.tejstead.com/heilbronn/convex/33/#A=0.00547013606728Convex, n = 33: 0.0054701360 (+3.21%)2026-09-25T22:06:13ZAlexandar Lackovic with help of Opus 5.5New best known value 0.005470136067289894, up from 0.005300090819205872; found by Alexandar Lackovic with help of Opus 5.5.https://math.tejstead.com/heilbronn/triangle/19/#A=0.01348189138280Triangle, n = 19: 0.0134818913 (+0.211%)2026-09-23T09:01:58ZMarc-Emmanuel Coupvent des GraviersNew best known value 0.013481891382806743, up from 0.013453543425964246; found by Marc-Emmanuel Coupvent des Graviers.https://math.tejstead.com/heilbronn/triangle/29/#A=0.00612369118484Triangle, n = 29: 0.0061236911 (+2.55%)2026-09-23T09:01:58ZMarc-Emmanuel Coupvent des GraviersNew best known value 0.006123691184844319, up from 0.005971156353392636; found by Marc-Emmanuel Coupvent des Graviers.https://math.tejstead.com/heilbronn/triangle/21/#A=0.01139597697963Triangle, n = 21: 0.0113959769 (+3.04%)2026-09-19T23:50:52+02:00Fable 5.1 with Shengtong ZhangNew best known value 0.011395976979638138, up from 0.011059924510497036; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/29/#A=0.00597115635339Triangle, n = 29: 0.0059711563 (+0.000553%)2026-09-19T21:39:46ZFable 5.1 with Shengtong ZhangNew best known value 0.005971156353392636, up from 0.005971123359988025; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/21/#A=0.01319108745415Convex, n = 21: 0.0131910874 (+0.972%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.013191087454153034, up from 0.013064116842385947; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/27/#A=0.00802912177849Convex, n = 27: 0.0080291217 (+1.46%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.008029121778491794, up from 0.007913922601631245; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/28/#A=0.00771884043394Convex, n = 28: 0.0077188404 (+1.19%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007718840433941551, up from 0.007627719003112444; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/29/#A=0.00728911532745Convex, n = 29: 0.0072891153 (+4.51%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007289115327459864, up from 0.006974486538657878; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/30/#A=0.00716018453028Convex, n = 30: 0.0071601845 (+9.12%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007160184530281602, up from 0.006561739536739511; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/31/#A=0.00609852652772Convex, n = 31: 0.0060985265 (+1.08%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.006098526527721162, up from 0.006033345484153335; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/32/#A=0.00585071433335Convex, n = 32: 0.0058507143 (+0.0806%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005850714333353195, up from 0.005846001142957156; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/33/#A=0.00530009081920Convex, n = 33: 0.0053000908 (+2.4%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005300090819205872, up from 0.005176059730517941; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/34/#A=0.00520621698651Convex, n = 34: 0.0052062169 (+5.73%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005206216986514502, up from 0.004923990576926914; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/convex/35/#A=0.00477380533115Convex, n = 35: 0.0047738053 (+4.12%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004773805331154380, up from 0.004584961978694607; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/18/#A=0.01552605994070Square, n = 18: 0.0155260599 (+2.65%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.015526059940702492, up from 0.015125275224359192; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/20/#A=0.01293819671472Square, n = 20: 0.0129381967 (+0.206%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.012938196714727017, up from 0.012911555683942127; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/21/#A=0.01126585271608Square, n = 21: 0.0112658527 (+0.827%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.011265852716080434, up from 0.011173412130357821; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/22/#A=0.01067285385312Square, n = 22: 0.0106728538 (+1.91%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.010672853853126373, up from 0.010472534423501604; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/23/#A=0.00945743426831Square, n = 23: 0.0094574342 (+0.749%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.009457434268315443, up from 0.009387131023350967; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/25/#A=0.00793317518376Square, n = 25: 0.0079331751 (+0.937%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007933175183761128, up from 0.007859563151341917; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/26/#A=0.00757759100982Square, n = 26: 0.0075775910 (+3.25%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007577591009829045, up from 0.007338765689837643; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/27/#A=0.00710240497988Square, n = 27: 0.0071024049 (+1.74%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007102404979886034, up from 0.006981180676077259; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/28/#A=0.00690052498374Square, n = 28: 0.0069005249 (+1.84%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.006900524983747863, up from 0.006775810239337275; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/33/#A=0.00507134415846Square, n = 33: 0.0050713441 (+6.81%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005071344158467175, up from 0.004748213862789660; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/34/#A=0.00483489157693Square, n = 34: 0.0048348915 (+11.9%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004834891576935714, up from 0.004321452730400015; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/35/#A=0.00440910413556Square, n = 35: 0.0044091041 (+7.5%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004409104135564505, up from 0.004101305281851695; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/36/#A=0.00418488866602Square, n = 36: 0.0041848886 (+4.35%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004184888666026337, up from 0.004010385613296729; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/16/#A=0.01835554635540Triangle, n = 16: 0.0183555463 (+2.11%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.018355546355403450, up from 0.017976275987235557; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/17/#A=0.01624232840710Triangle, n = 17: 0.0162423284 (+4.56%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.016242328407103796, up from 0.015533675027841642; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/20/#A=0.01231795608952Triangle, n = 20: 0.0123179560 (+2.32%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.012317956089522314, up from 0.012038447760219116; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/25/#A=0.00780263874105Triangle, n = 25: 0.0078026387 (+2.3%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007802638741054242, up from 0.007627395418302331; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/26/#A=0.00747156972681Triangle, n = 26: 0.0074715697 (+5.17%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007471569726815122, up from 0.007104250775168768; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/27/#A=0.00702932816914Triangle, n = 27: 0.0070293281 (+2.2%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.007029328169141571, up from 0.006877860347970217; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/28/#A=0.00669434160459Triangle, n = 28: 0.0066943416 (+8.58%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.006694341604594872, up from 0.006165171202500611; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/29/#A=0.00597112335998Triangle, n = 29: 0.0059711233 (+1.72%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005971123359988025, up from 0.005870140103072509; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/30/#A=0.00595740109174Triangle, n = 30: 0.0059574010 (+1.65%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005957401091748715, up from 0.005860561483472674; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/31/#A=0.00516128431562Triangle, n = 31: 0.0051612843 (+1.65%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.005161284315624374, up from 0.005077346877345451; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/32/#A=0.00480075546078Triangle, n = 32: 0.0048007554 (+2.95%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004800755460787039, up from 0.004663122527749690; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/33/#A=0.00472821339512Triangle, n = 33: 0.0047282133 (+5.4%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004728213395120405, up from 0.004485824400396942; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/34/#A=0.00443091059838Triangle, n = 34: 0.0044309105 (+8.01%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004430910598389855, up from 0.004102299289888125; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/triangle/35/#A=0.00403268432070Triangle, n = 35: 0.0040326843 (+4.22%)2026-09-19T21:36:07ZFable 5.1 with Shengtong ZhangNew best known value 0.004032684320705864, up from 0.003869250729929149; found by Fable 5.1 with Shengtong Zhang.https://math.tejstead.com/heilbronn/square/36/#A=0.00401038561329Square, n = 36: 0.0040103856 (+5.38%)2026-09-15T07:21:14ZMarc-Emmanuel Coupvent des GraviersNew best known value 0.004010385613296729, up from 0.003805496899486631; found by Marc-Emmanuel Coupvent des Graviers.