Experimental stick numbers for minimal stick links

Data for these links resulted from my thesis work Interactive Topological Drawing (1998). See also data for minimal stick knots. To view the links in your browser window, click on the "3D model" links. This will load the link in an interactive viewer (requires Java).

The data presented here are not necessarily minimal stick representatives. For example, other researchers have shown that 621, 622, and 623 all have a stick number of 8. The reason that KnotPlot finds a value of 9 is because it ends up making one component with three sticks. In the case, the other component is probably required to have at least six sticks. The minimal stick 6-crossing links have components with four sticks each.

Link Stick number JavaView model
021
6
3D model
221
6
3D model
421
7
3D model
521
8
3D model
621
9
3D model
622
9
3D model
623
9
3D model
721
10
3D model
722
10
3D model
723
11
3D model
724
11
3D model
725
11
3D model
726
9
3D model
727
9
3D model
728
9
3D model
821
11
3D model
822
10
3D model
823
12
3D model
824
11
3D model
825
10
3D model
826
13
3D model
827
10
3D model
828
12
3D model
829
12
3D model
8210
10
3D model
8211
12
3D model
8212
13
3D model
8213
11
3D model
8214
11
3D model
8215
11
3D model
8216
10
3D model
921
11
3D model
922
12
3D model
923
12
3D model
924
11
3D model
925
12
3D model
926
13
3D model
927
11
3D model
928
11
3D model
929
12
3D model
9210
11
3D model
9211
12
3D model
9212
12
3D model
9213
12
3D model
9214
12
3D model
9215
12
3D model
9216
12
3D model
9217
12
3D model
9218
13
3D model
9219
12
3D model
9220
13
3D model
9221
13
3D model
9222
12
3D model
9223
12
3D model
9224
12
3D model
9225
14
3D model
9226
12
3D model
9227
13
3D model
9228
14
3D model
9229
13
3D model
9230
12
3D model
9231
11
3D model
9232
12
3D model
9233
12
3D model
9234
12
3D model
9235
11
3D model
9236
11
3D model
9237
10
3D model
9238
13
3D model
9239
11
3D model
9240
12
3D model
9241
12
3D model
9242
11
3D model
9243
11
3D model
9244
11
3D model
9245
11
3D model
9246
12
3D model
9247
11
3D model
9248
11
3D model
9249
11
3D model
9250
10
3D model
9251
11
3D model
9252
10
3D model
9253
11
3D model
9254
9
3D model
9255
11
3D model
9256
11
3D model
9257
13
3D model
9258
11
3D model
9259
12
3D model
9260
12
3D model
9261
10
3D model
031
9
3D model
631
10
3D model
632
10
3D model
633
9
3D model
731
11
3D model
831
11
3D model
832
11
3D model
833
13
3D model
834
11
3D model
835
11
3D model
836
10
3D model
837
10
3D model
838
10
3D model
839
11
3D model
8310
11
3D model
931
12
3D model
932
12
3D model
933
12
3D model
934
13
3D model
935
13
3D model
936
12
3D model
937
13
3D model
938
12
3D model
939
12
3D model
9310
12
3D model
9311
12
3D model
9312
11
3D model
9313
11
3D model
9314
12
3D model
9315
12
3D model
9316
12
3D model
9317
12
3D model
9318
12
3D model
9319
11
3D model
9320
11
3D model
9321
11
3D model
041
12
3D model
841
12
3D model
842
12
3D model
843
12
3D model
941
15
3D model


Robert G. Scharein
Centre for Experimental and Constructive Mathematics (CECM)