Knot Data and Images

All images and data (C) 2002 Ben Laurie (unless otherwise stated).

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Last update: Wed Sep 11 13:07:30 GMT 2002

Knots

3.1

01-03.001-ideal-0012-ben (coordinates)
P=12 L=1 F=1 D=0.0526761 L/D=18.984
W=-1.8961 C=2.8675 W2=-5.60855 C2=6.74081 w=-3.75233 c=4.80415
01-03.001-ideal-0024-ben (coordinates)
P=24 L=1 F=1 D=0.0582787 L/D=17.1589
W=-3.06738 C=3.95383 W2=-3.82649 C2=4.79347 w=-3.44693 c=4.37365
01-03.001-ideal-0048-ben (coordinates)
P=48 L=1 F=1 D=0.0603528 L/D=16.5692
W=-3.45822 C=4.33144 W2=-3.45548 C2=4.33745 w=-3.45685 c=4.33445
01-03.001-ideal-0096-ben (coordinates)
P=96 L=1 F=1 D=0.0608061 L/D=16.4457
W=-3.44086 C=4.31066 W2=-3.41801 C2=4.29235 w=-3.42943 c=4.30151
01-03.001-ideal-0288-ben (coordinates)
P=288 L=1 F=1 D=0.0610404 L/D=16.3826
W=-3.42281 C=4.29 W2=-3.41014 C2=4.27531 w=-3.41647 c=4.28265

Images

7.2

01-07.002-ideal-0086-ben (coordinates)
P=172 L=1 F=1 D=0.0310837 L/D=32.1712
W=5.61093 C=12.2825 W2=5.77142 C2=12.2469 w=5.69118 c=12.2647
01-07.002-ideal-0172-ben (coordinates)
P=172 L=1 F=1 D=0.0310822 L/D=32.1728
W=5.62191 C=12.3918 W2=5.78553 C2=12.3509 w=5.70372 c=12.3713
01-07.002-ideal-0344-ben (coordinates)
P=344 L=1 F=1 D=0.0312154 L/D=32.0354
W=5.64938 C=12.3564 W2=5.73357 C2=12.3108 w=5.69148 c=12.3336

7.6

01-07.006-ideal-0102-ben (coordinates)
P=102 L=1 F=1 D=0.0300266 L/D=33.3038
W=3.40394 C=12.822 W2=3.51008 C2=12.9713 w=3.45701 c=12.8967
01-07.006-ideal-0204-ben (coordinates)
P=204 L=1 F=1 D=0.0303522 L/D=32.9466
W=3.41619 C=12.8725 W2=3.413 C2=12.8418 w=3.4146 c=12.8571
01-07.006-ideal-0408-ben (coordinates)
P=408 L=1 F=1 D=0.0302748 L/D=33.0308
W=3.86126 C=13.3999 W2=3.42328 C2=12.9146 w=3.64227 c=13.1573

8.1

01-08.001-ideal-0096-ben (coordinates)
P=96 L=1 F=1 D=0.027665 L/D=36.1468
W=2.03481 C=14.8678 W2=2.41984 C2=14.9181 w=2.22733 c=14.893
01-08.001-ideal-0192-ben (coordinates)
P=192 L=1 F=1 D=0.0278393 L/D=35.9205
W=2.18078 C=14.8963 W2=2.31295 C2=14.8478 w=2.24687 c=14.872
01-08.001-ideal-0384-ben (coordinates)
P=384 L=1 F=1 D=0.027858 L/D=35.8964
W=2.0779 C=15.2216 W2=2.25039 C2=14.9546 w=2.16414 c=15.0881

8.2

01-08.002-ideal-0108-ben (coordinates)
P=108 L=1 F=1 D=0.0267671 L/D=37.3592
W=5.67048 C=14.35 W2=5.56795 C2=14.4448 w=5.61922 c=14.3974
01-08.002-ideal-0216-ben (coordinates)
P=216 L=1 F=1 D=0.0270083 L/D=37.0256
W=5.52991 C=14.2243 W2=5.51447 C2=14.1268 w=5.52219 c=14.1756
01-08.002-ideal-0432-ben (coordinates)
P=432 L=1 F=1 D=0.0270256 L/D=37.002
W=5.51261 C=14.2794 W2=5.46541 C2=14.1791 w=5.48901 c=14.2293

9.8

01-09.008-ideal-0091-ben (coordinates)
P=91 L=1 F=1 D=0.0240772 L/D=41.5331
W=2.25779 C=17.0832 W2=2.24187 C2=17.4132 w=2.24983 c=17.2482
01-09.008-ideal-0182-ben (coordinates)
P=182 L=1 F=1 D=0.0243858 L/D=41.0074
W=2.28446 C=17.2917 W2=2.19729 C2=17.2209 w=2.24087 c=17.2563
01-09.008-ideal-0364-ben (coordinates)
P=364 L=1 F=1 D=0.0244559 L/D=40.89
W=2.25097 C=17.2337 W2=2.22465 C2=17.1676 w=2.23781 c=17.2007

Links with 2 components

2.1

02-02.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.503423 F=0.503423 D=0.125394 L/D=4.01473
W=0.000327225 C=0.0901201 W2=-2.21623e-05 C2=0.0882036 w=0.000152531 c=0.0891618

Component 1

P=80 L=0.496577 F=0.496577 D=0.135287 L/D=3.67054
W=7.76512e-05 C=0.0194811 W2=8.20311e-05 C2=0.0185177 w=7.98412e-05 c=0.0189994

Whole knot

P=160 L=1 F=1 D=0.0789684 L/D=12.6633
W=1.99976 C=2.50768 W2=2.00233 C2=2.50905 w=2.00104 c=2.50836

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0789684 L/D=12.6633
W=-1.99895 C=2.50768 W2=-2.00221 C2=2.50905 w=-2.00058 c=2.50836

Images

4.1

02-04.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.569292 F=0.569292 D=0.049865 L/D=11.4167
W=-0.66132 C=0.849595 W2=-0.635312 C2=0.8223 w=-0.648316 c=0.835948

Component 1

P=80 L=0.430708 F=0.430708 D=0.0847346 L/D=5.08303
W=-0.215594 C=0.39922 W2=-0.197583 C2=0.381038 w=-0.206588 c=0.390129

Whole knot

P=160 L=1 F=1 D=0.049865 L/D=20.0542
W=3.11984 C=6.04763 W2=3.18129 C2=6.02241 w=3.15057 c=6.03502

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.049865 L/D=20.0542
W=-4.87367 C=6.04763 W2=-4.84708 C2=6.02241 w=-4.86038 c=6.03502

Images

5.1

02-05.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.651993 F=0.651994 D=0.0400313 L/D=16.2871
W=-1.24392 C=2.47661 W2=-1.24622 C2=2.45578 w=-1.24507 c=2.46619

Component 1

P=80 L=0.348006 F=0.348006 D=0.067732 L/D=5.13799
W=-0.122624 C=0.334985 W2=-0.115233 C2=0.322548 w=-0.118929 c=0.328766

Whole knot

P=160 L=1 F=1 D=0.0400313 L/D=24.9804
W=-1.36593 C=8.51184 W2=-1.35959 C2=8.49914 w=-1.36276 c=8.50549

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0400313 L/D=24.9804
W=-1.36716 C=8.51184 W2=-1.36333 C2=8.49914 w=-1.36524 c=8.50549

Images

6.1

02-06.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.498209 F=0.49821 D=0.0365901 L/D=13.6159
W=0.882407 C=1.21471 W2=0.837225 C2=1.16336 w=0.859816 c=1.18904

Component 1

P=80 L=0.501789 F=0.50179 D=0.0365902 L/D=13.7138
W=0.915592 C=1.27096 W2=0.85062 C2=1.19257 w=0.883106 c=1.23176

Whole knot

P=160 L=0.999998 F=1 D=0.0365901 L/D=27.3297
W=-4.18669 C=9.60821 W2=-4.35334 C2=9.53802 w=-4.27002 c=9.57311

Whole knot, component 0 reversed

P=160 L=0.999998 F=1 D=0.0365901 L/D=27.3297
W=7.78269 C=9.60821 W2=7.72904 C2=9.53802 w=7.75586 c=9.57311

Images

6.2

02-06.002-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.502585 F=0.502586 D=0.035115 L/D=14.3125
W=0.572822 C=1.19547 W2=0.582045 C2=1.15908 w=0.577433 c=1.17727

Component 1

P=80 L=0.497414 F=0.497414 D=0.035115 L/D=14.1653
W=-0.580891 C=1.13492 W2=-0.582383 C2=1.10365 w=-0.581637 c=1.11928

Whole knot

P=160 L=1 F=1 D=0.035115 L/D=28.4778
W=-6.00312 C=10.1458 W2=-6.03279 C2=10.1166 w=-6.01795 c=10.1312

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.035115 L/D=28.4778
W=5.98698 C=10.1458 W2=6.03211 C2=10.1166 w=6.00955 c=10.1312

Images

6.3

02-06.003-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.683479 F=0.683479 D=0.0340398 L/D=20.0788
W=1.80822 C=4.12925 W2=1.85256 C2=4.07573 w=1.83039 c=4.10249

Component 1

P=80 L=0.316521 F=0.316521 D=0.0576291 L/D=5.49239
W=0.158003 C=0.365914 W2=0.149846 C2=0.342741 w=0.153925 c=0.354327

Whole knot

P=160 L=1 F=1 D=0.0340398 L/D=29.3774
W=-1.99711 C=10.6138 W2=-2.05023 C2=10.6254 w=-2.02367 c=10.6196

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0340398 L/D=29.3774
W=5.92956 C=10.6138 W2=6.05503 C2=10.6254 w=5.9923 c=10.6196

Images

7.1

02-07.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.430214 F=0.430214 D=0.0309657 L/D=13.8933
W=0.795087 C=1.10919 W2=0.763839 C2=1.07159 w=0.779463 c=1.09039

Component 1

P=80 L=0.569786 F=0.569786 D=0.0309656 L/D=18.4006
W=1.46607 C=2.86226 W2=1.45085 C2=2.82367 w=1.45846 c=2.84296

Whole knot

P=160 L=1 F=1 D=0.0309656 L/D=32.2939
W=4.26305 C=12.3643 W2=4.22719 C2=12.335 w=4.24512 c=12.3497

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0309656 L/D=32.2939
W=0.259262 C=12.3643 W2=0.202187 C2=12.335 w=0.230725 c=12.3497

Images

7.4

02-07.004-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.633697 F=0.633697 D=0.0304327 L/D=20.8229
W=3.60551 C=5.18518 W2=3.57724 C2=5.13004 w=3.59137 c=5.15761

Component 1

P=80 L=0.366303 F=0.366303 D=0.0304327 L/D=12.0365
W=0.613123 C=0.781608 W2=0.594261 C2=0.746565 w=0.603692 c=0.764086

Whole knot

P=160 L=1 F=1 D=0.0304327 L/D=32.8594
W=4.22408 C=12.7722 W2=4.16848 C2=12.7081 w=4.19628 c=12.7402

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0304327 L/D=32.8594
W=4.21319 C=12.7722 W2=4.17452 C2=12.7081 w=4.19385 c=12.7402

Images

8.1

02-08.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.517752 F=0.517752 D=0.0289103 L/D=17.9089
W=-1.46421 C=2.06128 W2=-1.37426 C2=1.9708 w=-1.41923 c=2.01604

Component 1

P=80 L=0.482248 F=0.482248 D=0.0289103 L/D=16.6808
W=-1.25788 C=1.95987 W2=-1.18019 C2=1.88185 w=-1.21903 c=1.92086

Whole knot

P=160 L=1 F=1 D=0.0289103 L/D=34.5898
W=5.28477 C=13.4919 W2=5.51512 C2=13.4111 w=5.39994 c=13.4515

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0289103 L/D=34.5898
W=-10.7289 C=13.4919 W2=-10.624 C2=13.4111 w=-10.6765 c=13.4515

Images

9.1

02-09.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.504531 F=0.504531 D=0.0252136 L/D=20.0103
W=-1.623 C=2.35777 W2=-1.56634 C2=2.27913 w=-1.59467 c=2.31845

Component 1

P=80 L=0.495469 F=0.495469 D=0.0252136 L/D=19.6509
W=-1.58382 C=2.95878 W2=-1.51429 C2=2.86892 w=-1.54906 c=2.91385

Whole knot

P=160 L=1 F=1 D=0.0252136 L/D=39.6612
W=-7.19887 C=16.4658 W2=-7.12715 C2=16.4373 w=-7.16301 c=16.4515

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0252136 L/D=39.6612
W=0.785232 C=16.4658 W2=0.965881 C2=16.4373 w=0.875557 c=16.4515

Images

10.1

02-10.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.497325 F=0.497325 D=0.0239333 L/D=20.7796
W=-1.81055 C=2.91499 W2=-1.6982 C2=2.81289 w=-1.75438 c=2.86394

Component 1

P=80 L=0.502675 F=0.502675 D=0.0239333 L/D=21.0032
W=-1.84736 C=3.05073 W2=-1.73108 C2=2.94711 w=-1.78922 c=2.99892

Whole knot

P=160 L=1 F=1 D=0.0239333 L/D=41.7828
W=6.35463 C=17.9952 W2=6.67995 C2=17.9126 w=6.51729 c=17.9539

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0239333 L/D=41.7828
W=-13.6704 C=17.9952 W2=-13.5385 C2=17.9126 w=-13.6045 c=17.9539

Images

11.1

02-11.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.52712 F=0.52712 D=0.0212819 L/D=24.7684
W=-2.26077 C=4.31042 W2=-2.15893 C2=4.19398 w=-2.20985 c=4.2522

Component 1

P=80 L=0.47288 F=0.47288 D=0.021282 L/D=22.2197
W=-1.89919 C=2.88149 W2=-1.78394 C2=2.76363 w=-1.84157 c=2.82256

Whole knot

P=160 L=1 F=1 D=0.0212819 L/D=46.9882
W=1.84905 C=21.0936 W2=2.1208 C2=21.0256 w=1.98492 c=21.0596

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0212819 L/D=46.9882
W=-10.169 C=21.0936 W2=-10.0065 C2=21.0256 w=-10.0878 c=21.0596

Images

12.1

02-12.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.531084 F=0.531084 D=0.0202658 L/D=26.2059
W=-2.58421 C=4.20325 W2=-2.34679 C2=3.97656 w=-2.4655 c=4.0899

Component 1

P=80 L=0.468916 F=0.468916 D=0.0202658 L/D=23.1383
W=-2.0634 C=3.15454 W2=-1.87983 C2=2.98543 w=-1.97161 c=3.06998

Whole knot

P=160 L=1 F=1 D=0.0202658 L/D=49.3442
W=-16.6163 C=22.7812 W2=-16.4332 C2=22.6926 w=-16.5247 c=22.7369

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0202658 L/D=49.3442
W=7.32104 C=22.7812 W2=7.97993 C2=22.6926 w=7.65049 c=22.7369

Images

14.1

02-14.001-ideal-0160-ben (coordinates)
Component 0

P=80 L=0.348559 F=0.348559 D=0.0296248 L/D=11.7658
W=-1.50463 C=2.25819 W2=-1.26509 C2=2.01045 w=-1.38486 c=2.13432

Component 1

P=80 L=0.651441 F=0.651441 D=0.0175897 L/D=37.0353
W=-4.32926 C=7.30157 W2=-3.89311 C2=6.96585 w=-4.11118 c=7.13371

Whole knot

P=160 L=1 F=1 D=0.0175897 L/D=56.8513
W=-19.7283 C=26.6716 W2=-19.5688 C2=26.7269 w=-19.6486 c=26.6992

Whole knot, component 0 reversed

P=160 L=1 F=1 D=0.0175897 L/D=56.8513
W=8.06055 C=26.6716 W2=9.25244 C2=26.7269 w=8.65649 c=26.6992

Images

Links with 3 components

borromean

03-borromean-ideal-0060-ben (coordinates)
Component 0

P=20 L=0.334064 F=0.334064 D=0.0549957 L/D=6.07436
W=-0.000228973 C=0.039097 W2=0.00130087 C2=0.0293297 w=0.000535951 c=0.0342134

Component 1

P=20 L=0.334194 F=0.334194 D=0.0542322 L/D=6.16228
W=0.000178221 C=0.0371894 W2=-0.00118717 C2=0.0285766 w=-0.000504475 c=0.032883

Component 2

P=20 L=0.331742 F=0.331742 D=0.0554158 L/D=5.98641
W=0.00168534 C=0.0281533 W2=0.00205712 C2=0.0212308 w=0.00187123 c=0.0246921

Whole knot

P=60 L=1 F=1 D=0.0337692 L/D=29.6128
W=0.0332666 C=10.0379 W2=-0.018983 C2=10.6615 w=0.00714179 c=10.3497

Whole knot, component 0 reversed

P=60 L=1 F=1 D=0.0337692 L/D=29.6128
W=0.0174349 C=10.0379 W2=-0.00314878 C2=10.6615 w=0.00714307 c=10.3497
03-borromean-ideal-0120-ben (coordinates)
Component 0

P=40 L=0.33334 F=0.33334 D=0.0557894 L/D=5.97498
W=-0.000321469 C=0.0132007 W2=-0.000283906 C2=0.0116643 w=-0.000302687 c=0.0124325

Component 1

P=40 L=0.333503 F=0.333503 D=0.0559447 L/D=5.9613
W=0.000856645 C=0.00892443 W2=0.000984745 C2=0.00816857 w=0.000920695 c=0.0085465

Component 2

P=40 L=0.333156 F=0.333156 D=0.0560379 L/D=5.94519
W=-0.00211961 C=0.0119854 W2=-0.0017307 C2=0.0108603 w=-0.00192516 c=0.0114229

Whole knot

P=120 L=1 F=1 D=0.0343023 L/D=29.1526
W=0.00688444 C=10.2302 W2=-0.0136288 C2=10.3285 w=-0.0033722 c=10.2794

Whole knot, component 0 reversed

P=120 L=1 F=1 D=0.0343023 L/D=29.1526
W=0.0151137 C=10.2302 W2=-0.0116979 C2=10.3285 w=0.0017079 c=10.2794

Images

Links with 16 components

1.1

Images

Miscellaneous Images