The new data of integration and analysis
of the 30 simulations of 3-body periodic free fall simulations.

Alexander Gofen, December 2021

These 30 simulations of 3-body periodic free fall cases with equal masses were initially reported by Xiaoming Li and Shijun Liao in 2018:

http://numericaltank.sjtu.edu.cn/free-fall-3b/free-fall-3b-movies.htm

https://doi.org/10.1016/j.newast.2019.01.003

Below follows the computer data in support of the findings reported here.

#1, HalfPeriod = 1.0870484632;š 254 steps (0 step splits).š Total: 254.š Took 0.046881 sec.

Initial edges

ao1 = 0.572637259800556

ao2 = 0.607722685204271

ao3 = 1

Final edges

a1 = 0.866632205927504

a2 = 0.416307142567752

a3 = 1.19641713142014

The best Proportions

a2/ao1 = 0.726999746249045

a1/ao2 = 1.42603234505917

a3/ao3 = 1.19641713142014

No similarity

Final velocities

4.69201525612887E-009

5.80851143543854E-009

-3.98598884727846E-010

3.49416540245241E-009

-4.29341636906406E-009

-9.30267683904969E-009

========================================

#2, HalfPeriod = 0.8448182464;š 266 steps (0 step splits).š Total: 266.š Took 0.046465 sec.

Initial edges

ao1 = 0.353447287737379

ao2 = 0.73191686113172

ao3 = 1

Final edges

a1 = 0.519096075201661

a2 = 0.483476350302595

a3 = 0.832797261244673

The best Proportions

a2/ao1 = 1.36788813233681

a1/ao2 = 0.70922819621755

a3/ao3 = 0.832797261244673

No similarity

Final velocities

1.84847592293928E-009

2.97061806232781E-009

-1.41089078927717E-009

2.15359327571628E-009

-4.37585143548682E-010

-5.12421135046498E-009

========================================

#3, HalfPeriod = 2.2709562794;š 415 steps (0 step splits).š Total: 415.š Took 0.071382 sec.

Initial edges

ao1 = 0.645756550176801

ao2 = 0.727691128224223

ao3 = 1

Final edges

a1 = 0.519220183357862

a2 = 0.852431244261169

a3 = 1.21403381063613

The best Proportions

a1/ao1 = 0.804049425771532

a2/ao2 = 1.1714190419517

a3/ao3 = 1.21403381063613

No similarity

Final velocities

3.89925732057172E-009

4.31299112774815E-009

9.63303487628783E-009

-1.54022823774323E-009

-1.35322922071391E-008

-2.77276288808724E-009

========================================

#4, HalfPeriod = 2.57931955145;š 584 steps (0 step splits).š Total: 584.š Took 0.097313 sec.

Initial edges

ao1 = 0.656114690088622

ao2 = 0.894333471111357

ao3 = 1

Final edges

a1 = 1.00000000002744

a2 = 0.894333471345107

a3 = 0.656114689950851

The best Proportions

a3/ao1 = 0.99999999979002

a2/ao2 = 1.00000000026137

a1/ao3 = 1.00000000002744

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 93.9289556195626œ 15.2469889476221œ 24.7954758122167œ

a2 133.971420366541œ 55.2894536946006œ 15.2469889347618œ

a3 147.346612970012œ 133.971420358047œ 93.9289555982083œ

Correspondence of edges

ao1 ao2 ao3

ša3ššš a2ššš a1

Permutation

123

321

Final velocities

-4.28584709035567E-010

-2.37367255134091E-010

1.74820772747042E-010

4.17386302024202E-010

2.53763924491474E-010

-1.80019034462126E-010

========================================

#5, HalfPeriod = 2.48238475725;š 610 steps (0 step splits).š Total: 610.š Took 0.102214 sec.

Initial edges

ao1 = 0.686289213357226

ao2 = 0.804409980650713

ao3 = 1

Final edges

a1 = 0.51131491557514

a2 = 1.01096250172966

a3 = 1.32387108532136

The best Proportions

a1/ao1 = 0.745042914304106

a2/ao2 = 1.25677518435544

a3/ao3 = 1.32387108532136

No similarity

Final velocities

-9.75787326797525E-009

-1.10250875528665E-009

-1.08593175709594E-008

1.68599670846931E-008

2.06171908450077E-008

-1.57574583028121E-008

========================================

#6, HalfPeriod = 2.43360014965;š 1348 steps (0 step splits).š Total: 1348.š Took 0.217915 sec.

Initial edges

ao1 = 0.569625019297788

ao2 = 0.97618618747143

ao3 = 1

Final edges

a1 = 1.00000000202946

a2 = 0.976186185441073

a3 = 0.569625019472307

The best Proportions

a3/ao1 = 1.00000000030637

a2/ao2 = 0.999999997920113

a1/ao3 = 1.00000000202946

Angles between edges

ššššššššššššššššš ao1šššššššššššššššššššššššššššššššššš šao2ššššššššššššššššššššššššššššš ao3

a1 33.4281661650412œ 42.1271972154496œ 75.6053289606549œ

a2 66.9062979114059œ 8.64906546908488œ 42.1271972142901œ

a3 142.461661681974œ 66.9062983014829œ 33.4281665562776œ

Correspondence of edges

ao1 ao2 ao3

ša3ššš a2ššš a1

Permutation

123

321

Final velocities

8.85865490185057E-009

7.3268894074105E-009

-3.68612207960915E-009

-1.23664665743978E-008

-5.17253289974493E-009

5.03957702993737E-009

========================================

#7, HalfPeriod = 2.7227795554;š 742 steps (0 step splits).š Total: 742.š Took 0.123361 sec.

Initial edges

ao1 = 0.681773207106269

ao2 = 0.783059117517935

ao3 = 1

Final edges

a1 = 1.25531246764058

a2 = 0.432096830797854

a3 = 1.58003911803375

The best Proportions

a2/ao1 = 0.63378382472942

a1/ao2 = 1.60308773572492

a3/ao3 = 1.58003911803375

No similarity

Final velocities

-3.78487788614719E-009

4.5888135913822E-009

3.34695531565679E-010

1.93745887206284E-009

3.45018233731051E-009

-6.52627241712251E-009

========================================

#8, HalfPeriod = 2.5591645882;š 998 steps (0 step splits).š Total: 998.š Took 0.162514 sec.

Initial edges

ao1 = 0.566715076527791

ao2 = 0.946252265711369

ao3 = 1

Final edges

a1 = 0.566715076561325

a2 = 0.946252265151476

a3 = 1.00000000032959

The best Proportions

a1/ao1 = 1.00000000005917

a2/ao2 = 0.999999999408305

a3/ao3 = 1.00000000032959

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 38.8690207477758œ 117.219875343873œ 150.933490915343œ

a2 117.219875429262œ 164.42926997464œ 130.715654403171œ

a3 150.933491002139œ 130.715654401763œ 97.0020388302941œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

-1.51048418247993E-009

6.59224679445941E-010

-1.57756571794423E-009

-2.13133476981224E-009

3.08804982757424E-009

1.47211007873484E-009

========================================

#9, HalfPeriod = 2.59998784075;š 862 steps (0 step splits).š Total: 862.š Took 0.142159 sec.

Initial edges

ao1 = 0.657224861170368

ao2 = 0.746042662279047

ao3 = 1

Final edges

a1 = 0.418696403387921

a2 = 1.20911852734592

a3 = 1.54669230607388

The best Proportions

a1/ao1 = 0.637067201995857

a2/ao2 = 1.62070963026732

a3/ao3 = 1.54669230607388

No similarity

Final velocities

4.86142058771208E-009

-9.47748416712948E-010

8.16237099253696E-009

-1.10729692186229E-008

-1.30237915488106E-008

1.20207176001471E-008

========================================

#10, HalfPeriod = 2.4457471081;š 506 steps (0 step splits).š Total: 506.š Took 0.084257 sec.

Initial edges

ao1 = 0.46474868843111

ao2 = 0.913197648375442

ao3 = 1

Final edges

a1 = 0.464748688619675

a2 = 0.913197647909834

a3 = 0.999999999688458

The best Proportions

a1/ao1 = 1.00000000040573

a2/ao2 = 0.999999999490135

a3/ao3 = 0.999999999688458

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 97.4211319750022œ 10.7928104307885œ 16.849104623815œ

a2 10.7928104276219œ 75.8355111165917œ 103.477426171195œ

a3 16.8491046486026œ 103.477426192816œ 131.11934124742œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

-3.28984116141264E-010

1.01889721362755E-009

-2.86138741553596E-009

-1.03587999886984E-009

3.19037155266373E-009

1.6982755490689E-011

========================================

#11, HalfPeriod = 2.1373553632;š 944 steps (0 step splits).š Total: 944.š Took 0.160084 sec.

Initial edges

ao1 = 0.362278706239516

ao2 = 0.965726821308478

ao3 = 1

Final edges

a1 = 0.884397512716539

a2 = 0.751618380818297

a3 = 0.428335304775042

The best Proportions

a3/ao1 = 1.18233640950416

a2/ao2 = 0.778292954315918

a1/ao3 = 0.884397512716539

No similarity

Final velocities

1.60631454143069E-008

-1.93862848632553E-009

-1.15198748849052E-008

-7.36645991180864E-009

-4.54327057494327E-009

9.30508825051327E-009

========================================

#12, HalfPeriod = 2.1381634767;š 930 steps (0 step splits).š Total: 930.š Took 0.155005 sec.

Initial edges

ao1 = 0.36379418308769

ao2 = 0.95474135494826

ao3 = 1

Final edges

a1 = 0.800513479863829

a2 = 0.686199523272231

a3 = 0.478535114791668

The best Proportions

a3/ao1 = 1.31540067719093

a2/ao2 = 0.718728187184704

a1/ao3 = 0.800513479863829

No similarity

Final velocities

-3.8075705336926E-009

6.13012713852922E-009

5.38739695580003E-009

-2.50478458812289E-009

-1.57982639475843E-009

-3.62534258528799E-009

========================================

#13, HalfPeriod = 2.98529966345;š 888 steps (0 step splits).š Total: 888.š Took 0.147908 sec.

Initial edges

ao1 = 0.597785204114922

ao2 = 0.857199210019888

ao3 = 1

Final edges

a1 = 1.2491981993678

a2 = 1.19266118202226

a3 = 0.454451039469221

The best Proportions

a3/ao1 = 0.760224636442916

a2/ao2 = 1.39134657158001

a1/ao3 = 1.2491981993678

No similarity

Final velocities

-2.76692474062367E-009

6.13512844940454E-009

4.23257892766806E-009

-4.71973654168916E-009

-1.46565413611569E-009

-1.41539189214691E-009

========================================

#14, HalfPeriod = 3.8241131109;š 766 steps (0 step splits).š Total: 766.š Took 0.127649 sec.

Initial edges

ao1 = 0.679289996641939

ao2 = 0.921456266427119

ao3 = 1

Final edges

a1 = 0.679289996759996

a2 = 0.999999999906395

a3 = 0.921456266288986

The best Proportions

a1/ao1 = 1.00000000017379

a3/ao2 = 0.999999999850092

a2/ao3 = 0.999999999906395

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 5.33608528907246E-008œ 75.6383359097635œ 116.790552658371œ

a2 63.2094472309557œ 138.847783191836œ 179.999999940341œ

a3 104.361663992048œ 179.999999953788œ 138.847783298464œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a3ššš a2

Permutation

123

132

ao1||a1

ao2||a3

ao3||a2

Final velocities

-2.81389363172109E-010

-1.89353579775668E-010

3.3674373726193E-010

-4.83937461027224E-011

-5.53543426373704E-011

2.37747320860568E-010

========================================

#15, HalfPeriod = 3.20200098125;š 497 steps (0 step splits).š Total: 497.š Took 0.083289 sec.

Initial edges

ao1 = 0.436752842635604

ao2 = 0.84000976765171

ao3 = 1

Final edges

a1 = 0.436752842610689

a2 = 1.00000000015532

a3 = 0.84000976763397

The best Proportions

a1/ao1 = 0.999999999942955

a3/ao2 = 0.999999999978881

a2/ao3 = 1.00000000015532

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššš ššao3

a1 2.24813269240838E-007œ 98.1192298360194œ 123.737606145236œ

a2 56.2623942798428œ 154.381623892635œ 179.999999798567œ

a3 81.8807705812267œ 179.999999808532œ 154.381623496765œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a3ššš a2

Permutation

123

132

ao1||a1

ao2||a3

ao3||a2

Final velocities

1.59891943543773E-010

-2.38673290715695E-010

4.38746287022805E-010

3.27045241555564E-010

-5.98638236177325E-010

-8.83719544346765E-011

========================================

#16, HalfPeriod = 3.26937279405;š 617 steps (0 step splits).š Total: 617.š Took 0.103132 sec.

Initial edges

ao1 = 0.47058769165938

ao2 = 0.71827887142899

ao3 = 1

Final edges

a1 = 0.870430892162538

a2 = 0.437574805235382

a3 = 0.923327306307398

The best Proportions

a2/ao1 = 0.929847535307207

a1/ao2 = 1.21182861808374

a3/ao3 = 0.923327306307398

No similarity

Final velocities

8.08351115906515E-009

8.6240913048561E-009

3.7958650394476E-009

-5.11789547910256E-009

-1.18793762235832E-008

-3.50619577981133E-009

========================================

#17, HalfPeriod = 4.05340742565;š 665 steps (0 step splits).š Total: 665.š Took 0.111089 sec.

Initial edges

ao1 = 0.622323187959103

ao2 = 0.817359130903657

ao3 = 1

Final edges

a1 = 0.556501426090904

a2 = 1.02100547619331

a3 = 0.948796074219301

The best Proportions

a1/ao1 = 0.894232188127105

a3/ao2 = 1.1608068452974

a2/ao3 = 1.02100547619331

No similarity

Final velocities

-6.36996776303572E-010

1.5920278224403E-009

-2.16505405843789E-009

-2.84821212665279E-009

2.80205083930189E-009

1.25618430439037E-009

========================================

#18, HalfPeriod = 2.69762248625;š 1251 steps (0 step splits).š Total: 1251.š Took 0.204697 sec.

Initial edges

ao1 = 0.309097112311281

ao2 = 0.718590490501491

ao3 = 1

Final edges

a1 = 0.309097111598536

a2 = 0.718590493477556

a3 = 1.00000000170251

The best Proportions

a1/ao1 = 0.999999997694106

a2/ao2 = 1.00000000414153

a3/ao3 = 1.00000000170251

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 42.475261539959œ 108.406753649891œ 117.057419661337œ

a2 108.406753346697œ 100.711231463453œ 92.0605654520073œ

a3 117.057419406016œ 92.0605654041339œ 83.4098993926884œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

-6.09139093441026E-010

4.30494471823168E-009

-8.16387008256009E-009

1.20806355604974E-008

8.77300915445948E-009

-1.63855802926238E-008

========================================

#19, HalfPeriod = 4.050523709;š 943 steps (0 step splits).š Total: 943.š Took 0.155798 sec.

Initial edges

ao1 = 0.496074907565996

ao2 = 0.572812200041699

ao3 = 1

Final edges

a1 = 0.572812199936607

a2 = 0.496074907644495

a3 = 1.00000000000121

The best Proportions

a2/ao1 = 1.00000000015824

a1/ao2 = 0.999999999816534

a3/ao3 = 1.00000000000121

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 137.019924002653œ 1.50331610105463œ 20.6846187271769œ

a2 84.4568358851656œ 137.019924011127œ 117.838621385005œ

a3 62.1613786232646œ 159.315381273028œ 140.134078646906œ

Correspondence of edges

ao1 ao2 ao3

ša2ššš a1ššš a3

Permutation

123

213

Final velocities

1.67308271810341E-010

3.71973915075851E-010

-1.89597233719125E-011

1.66529639877106E-011

-1.48348556891818E-010

-3.88626881069336E-010

========================================

#20, HalfPeriod = 4.41075095455;š 900 steps (0 step splits).š Total: 900.š Took 0.148016 sec.

Initial edges

ao1 = 0.50495622673102

ao2 = 0.603836666752218

ao3 = 1

Final edges

a1 = 0.57054532177866

a2 = 0.521881491284074

a3 = 1.03349165990653

The best Proportions

a2/ao1 = 1.03351828070846

a1/ao2 = 0.944866970148371

a3/ao3 = 1.03349165990653

No similarity

Final velocities

-2.60625331865581E-009

-1.9387764236181E-009

-2.46467814842173E-009

4.91755506656238E-011

5.07093146590779E-009

1.88960087241376E-009

========================================

#21, HalfPeriod = 2.7112520343;š 1494 steps (0 step splits).š Total: 1494.š Took 0.243828 sec.

Initial edges

ao1 = 0.244664806328298

ao2 = 0.782266109233721

ao3 = 1

Final edges

a1 = 0.273707764999851

a2 = 0.648263619592147

a3 = 0.85510438323065

The best Proportions

a1/ao1 = 1.1187050933373

a2/ao2 = 0.828699609941127

a3/ao3 = 0.85510438323065

No similarity

Final velocities

-1.82701920250567E-009

-3.65151745228918E-009

4.45341399524509E-009

-1.07715936163873E-009

-2.62639489930463E-009

4.72867672411193E-009

========================================

#22, HalfPeriod = 2.7236858497;š 1795 steps (0 step splits).š Total: 1795.š Took 0.292785 sec.

Initial edges

ao1 = 0.245966087104846

ao2 = 0.770004101810938

ao3 = 1

Final edges

a1 = 0.245966088142438

a2 = 0.770004096687312

a3 = 0.999999991949072

The best Proportions

a1/ao1 = 1.00000000421843

a2/ao2 = 0.999999993345976

a3/ao3 = 0.999999991949072

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 87.6043906513413œ 68.6019765891483œ 74.2970072774863œ

a2 68.6019736356242œ 135.191659123886œ 129.496628435548œ

a3 74.2970050620852œ 129.496627697425œ 123.801597009087œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

-7.5933034627829E-009

-1.39570028743378E-008

-6.80829967783411E-009

-5.91206006827951E-008

1.44016030984568E-008

7.30776034174097E-008

========================================

#23, HalfPeriod = 4.24869750795;š 982 steps (0 step splits).š Total: 982.š Took 0.162128 sec.

Initial edges

ao1 = 0.501239096468276

ao2 = 0.527663184454187

ao3 = 1

Final edges

a1 = 0.579378212139716

a2 = 0.477840861129729

a3 = 0.933298136228007

The best Proportions

a2/ao1 = 0.953319213318733

a1/ao2 = 1.09800764807767

a3/ao3 = 0.933298136228007

No similarity

Final velocities

-1.57756291337748E-009

-5.86367709351802E-011

-2.92085679156739E-010

1.02586635176695E-009

1.8696485894002E-009

-9.67229579252899E-010

========================================

#24, HalfPeriod = 4.7122162672;š 968 steps (0 step splits).š Total: 968.š Took 0.158934 sec.

Initial edges

ao1 = 0.511991659345909

ao2 = 0.620785780313771

ao3 = 1

Final edges

a1 = 0.565374734177531

a2 = 0.537062141254861

a3 = 1.07146897754872

The best Proportions

a2/ao1 = 1.0489665826607

a1/ao2 = 0.910740471361581

a3/ao3 = 1.07146897754872

No similarity

Final velocities

-2.71696106089151E-009

-1.87260278471617E-009

-1.61342787868553E-009

-1.82369241602076E-010

4.33038894554607E-009

2.05497203033318E-009

========================================

#25, HalfPeriod = 2.89052023895;š 2264 steps (0 step splits).š Total: 2264.š Took 0.371775 sec.

Initial edges

ao1 = 0.237958481621947

ao2 = 0.801383085656181

ao3 = 1

Final edges

a1 = 0.237958482449773

a2 = 0.801383079746826

a3 = 0.99999999538486

The best Proportions

a1/ao1 = 1.00000000347887

a2/ao2 = 0.999999992626055

a3/ao3 = 0.99999999538486

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššš ššao3

a1 29.9131648425869œ 112.238395218678œ 120.633895872402œ

a2 112.238395468441œ 105.610044470294œ 97.2145438165699œ

a3 120.63389614317œ 97.2145437955651œ 88.8190431418409œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

1.78327288962003E-009

-9.28528738061907E-009

2.92091492197285E-008

-2.99235871624063E-008

-3.09924219573553E-008

3.9208874604066E-008

========================================

#26, HalfPeriod = 5.0108652409;š 1419 steps (0 step splits).š Total: 1419.š Took 0.231581 sec.

Initial edges

ao1 = 0.521409117437041

ao2 = 0.580774996660905

ao3 = 1

Final edges

a1 = 0.889797446725436

a2 = 0.370074068035938

a3 = 1.22894822519622

The best Proportions

a2/ao1 = 0.7097575697468

a1/ao2 = 1.53208635330587

a3/ao3 = 1.22894822519622

No similarity

Final velocities

5.27075403137514E-009

1.33564328087929E-008

3.57313684289627E-009

3.20884800461817E-009

-8.84389087674474E-009

-1.6565280844304E-008

========================================

#27, HalfPeriod = 5.1670439078;š 1030 steps (0 step splits).š Total: 1030.š Took 0.171388 sec.

Initial edges

ao1 = 0.383169707015193

ao2 = 0.671957136857783

ao3 = 1

Final edges

a1 = 0.671957138828835

a2 = 0.383169706144309

a3 = 1.0000000015663

The best Proportions

a2/ao1 = 0.999999997727157

a1/ao2 = 1.0000000029333

a3/ao3 = 1.0000000015663

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 38.7401826467327œ 179.999999867939œ 166.126225147501œ

a2 179.99999997332œ 38.740182748141œ 24.866407766191œ

a3 155.133592232403œ 13.8737750085871œ 2.66804264453623E-008œ

Correspondence of edges

ao1 ao2 ao3

ša2ššš a1ššš a3

Permutation

123

213

ao1||a2

ao2||a1

ao3||a3

Final velocities

4.88310367868002E-009

-2.95439262568413E-009

3.36011390862949E-009

4.61565620908666E-010

-8.24321759329972E-009

2.49282700364383E-009

========================================

#28, HalfPeriod = 5.92137948935;š 1227 steps (0 step splits).š Total: 1227.š Took 0.202606 sec.

Initial edges

ao1 = 0.524365290707931

ao2 = 0.648201419235729

ao3 = 1

Final edges

a1 = 0.928783526346898

a2 = 0.390762512913875

a3 = 1.22846866613691

The best Proportions

a2/ao1 = 0.745210485587856

a1/ao2 = 1.43286253128232

a3/ao3 = 1.22846866613691

No similarity

Final velocities

5.72760607337104E-009

8.79852228680383E-009

3.41334205527838E-009

1.18503715137826E-009

-9.14094811074653E-009

-9.98355945109426E-009

========================================

#29, HalfPeriod = 3.646941059;š 2350 steps (0 step splits).š Total: 2350.š Took 0.383539 sec.

Initial edges

ao1 = 0.24324751934175

ao2 = 0.822299525395652

ao3 = 1

Final edges

a1 = 0.243247518849951

a2 = 0.822299529094189

a3 = 1.00000000257555

The best Proportions

a1/ao1 = 0.999999997978196

a2/ao2 = 1.0000000044978

a3/ao3 = 1.00000000257555

Angles between edges

ššššššššššššššššš ao1ššššššššššššššššššššššššššššššššššš ao2ššššššššššššššššššššššššššššš ao3

a1 49.5539386272383œ 81.8651326332434œ 92.3752474118586œ

a2 81.8651323758748œ 146.715796363643œ 136.205681585028œ

a3 92.3752471477452œ 136.205681591773œ 125.695566813158œ

Correspondence of edges

ao1 ao2 ao3

ša1ššš a2ššš a3

Permutation

123

123

Final velocities

-4.35082468140733E-010

5.47041649075864E-009

-1.51353003260516E-008

1.82362110440909E-008

1.55703827663707E-008

-2.37066275842281E-008

========================================

#30, HalfPeriod = 3.0919988294;š 3326 steps (0 step splits).š Total: 3326.š Took 0.535024 sec.

Initial edges

ao1 = 0.197997380720087

ao2 = 0.84825304182892

ao3 = 1

Final edges

a1 = 0.199777943909853

a2 = 0.82489784491022

a3 = 0.988497373898988

The best Proportions

a1/ao1 = 1.00899286234641

a2/ao2 = 0.972466710088839

a3/ao3 = 0.988497373898988

No similarity

Final velocities

-3.09127018087252E-007

-1.4727981482216E-007

-7.39582387753688E-007

-9.72884906216035E-007

1.0487094060464E-006

1.12016472116146E-006

========================================