Stick numbers for minimal stick knots

Data for these non-equilateral case resulted from my thesis work Interactive Topological Drawing (1998). See also data for minimal stick links. The equilateral data resulted from a collaboration with Eric Rawdon, published in a paper that appeared in Contemporary Mathematics. To view the knots in your browser window, click on the "3D model" links. This will load the knot in an interactive viewer (requires Java).

This data is "Perko corrected", that is, 10161 and 10162 are distinct knots.

Knot Stick number Equilateral
Stick number
JavaView model
(non-equilateral)
JavaView model
(equilateral)
01
3
3
3D model
3D model
31
6
6
3D model
3D model
41
7
7
3D model
3D model
51
8
8
3D model
3D model
52
8
8
3D model
3D model
61
8
8
3D model
3D model
62
8
8
3D model
3D model
63
8
8
3D model
3D model
71
9
9
3D model
3D model
72
9
9
3D model
3D model
73
9
9
3D model
3D model
74
9
9
3D model
3D model
75
9
9
3D model
3D model
76
9
9
3D model
3D model
77
9
9
3D model
3D model
81
10
10
3D model
3D model
82
10
10
3D model
3D model
83
10
10
3D model
3D model
84
10
10
3D model
3D model
85
10
10
3D model
3D model
86
10
10
3D model
3D model
87
10
10
3D model
3D model
88
10
10
3D model
3D model
89
10
10
3D model
3D model
810
10
10
3D model
3D model
811
10
10
3D model
3D model
812
10
10
3D model
3D model
813
10
10
3D model
3D model
814
10
10
3D model
3D model
815
10
10
3D model
3D model
816
9
9
3D model
3D model
817
9
9
3D model
3D model
818
9
9
3D model
3D model
819
8
9
3D model
3D model
820
8
8
3D model
3D model
821
9
9
3D model
3D model
91
10
10
3D model
3D model
92
11
11
3D model
3D model
93
11
11
3D model
3D model
94
10
10
3D model
3D model
95
10
10
3D model
3D model
96
11
11
3D model
3D model
97
10
10
3D model
3D model
98
10
10
3D model
3D model
99
10
10
3D model
3D model
910
10
10
3D model
3D model
911
11
11
3D model
3D model
912
10
10
3D model
3D model
913
10
10
3D model
3D model
914
10
10
3D model
3D model
915
11
11
3D model
3D model
916
10
10
3D model
3D model
917
10
10
3D model
3D model
918
11
11
3D model
3D model
919
10
10
3D model
3D model
920
10
10
3D model
3D model
921
11
11
3D model
3D model
922
10
10
3D model
3D model
923
11
11
3D model
3D model
924
10
10
3D model
3D model
925
11
11
3D model
3D model
926
10
10
3D model
3D model
927
11
11
3D model
3D model
928
10
10
3D model
3D model
929
9
10
3D model
3D model
930
10
10
3D model
3D model
931
10
10
3D model
3D model
932
10
10
3D model
3D model
933
10
10
3D model
3D model
934
9
9
3D model
3D model
935
10
10
3D model
3D model
936
11
11
3D model
3D model
937
10
10
3D model
3D model
938
10
10
3D model
3D model
939
10
10
3D model
3D model
940
9
9
3D model
3D model
941
9
9
3D model
3D model
942
9
9
3D model
3D model
943
10
10
3D model
3D model
944
9
9
3D model
3D model
945
10
10
3D model
3D model
946
9
9
3D model
3D model
947
9
9
3D model
3D model
948
10
10
3D model
3D model
949
9
9
3D model
3D model
101
11
11
3D model
3D model
102
11
11
3D model
3D model
103
12
12
3D model
3D model
104
11
11
3D model
3D model
105
11
11
3D model
3D model
106
12
12
3D model
3D model
107
12
12
3D model
3D model
108
12
12
3D model
3D model
109
11
11
3D model
3D model
1010
12
12
3D model
3D model
1011
11
11
3D model
3D model
1012
11
11
3D model
3D model
1013
11
11
3D model
3D model
1014
11
11
3D model
3D model
1015
12
12
3D model
3D model
1016
11
12
3D model
3D model
1017
11
11
3D model
3D model
1018
12
12
3D model
3D model
1019
11
11
3D model
3D model
1020
12
12
3D model
3D model
1021
12
12
3D model
3D model
1022
12
12
3D model
3D model
1023
12
12
3D model
3D model
1024
12
12
3D model
3D model
1025
11
11
3D model
3D model
1026
12
12
3D model
3D model
1027
11
11
3D model
3D model
1028
12
12
3D model
3D model
1029
11
11
3D model
3D model
1030
12
12
3D model
3D model
1031
12
12
3D model
3D model
1032
11
11
3D model
3D model
1033
11
11
3D model
3D model
1034
12
12
3D model
3D model
1035
12
12
3D model
3D model
1036
11
11
3D model
3D model
1037
12
12
3D model
3D model
1038
12
12
3D model
3D model
1039
13
13
3D model
3D model
1040
11
11
3D model
3D model
1041
11
11
3D model
3D model
1042
11
11
3D model
3D model
1043
12
12
3D model
3D model
1044
12
12
3D model
3D model
1045
11
11
3D model
3D model
1046
12
12
3D model
3D model
1047
12
12
3D model
3D model
1048
10
10
3D model
3D model
1049
11
11
3D model
3D model
1050
12
12
3D model
3D model
1051
12
12
3D model
3D model
1052
11
11
3D model
3D model
1053
12
12
3D model
3D model
1054
12
12
3D model
3D model
1055
12
12
3D model
3D model
1056
11
11
3D model
3D model
1057
12
12
3D model
3D model
1058
12
12
3D model
3D model
1059
11
11
3D model
3D model
1060
11
11
3D model
3D model
1061
11
11
3D model
3D model
1062
12
12
3D model
3D model
1063
11
11
3D model
3D model
1064
13
13
3D model
3D model
1065
12
12
3D model
3D model
1066
12
12
3D model
3D model
1067
11
11
3D model
3D model
1068
12
12
3D model
3D model
1069
11
11
3D model
3D model
1070
12
12
3D model
3D model
1071
12
12
3D model
3D model
1072
12
12
3D model
3D model
1073
13
13
3D model
3D model
1074
12
12
3D model
3D model
1075
12
12
3D model
3D model
1076
13
13
3D model
3D model
1077
12
12
3D model
3D model
1078
12
12
3D model
3D model
1079
11
12
3D model
3D model
1080
13
13
3D model
3D model
1081
11
11
3D model
3D model
1082
12
12
3D model
3D model
1083
11
11
3D model
3D model
1084
14
14
3D model
3D model
1085
11
11
3D model
3D model
1086
11
11
3D model
3D model
1087
11
11
3D model
3D model
1088
11
11
3D model
3D model
1089
11
11
3D model
3D model
1090
11
11
3D model
3D model
1091
11
11
3D model
3D model
1092
11
11
3D model
3D model
1093
11
11
3D model
3D model
1094
11
11
3D model
3D model
1095
12
12
3D model
3D model
1096
11
11
3D model
3D model
1097
12
12
3D model
3D model
1098
11
11
3D model
3D model
1099
11
11
3D model
3D model
10100
12
12
3D model
3D model
10101
12
12
3D model
3D model
10102
10
10
3D model
3D model
10103
11
11
3D model
3D model
10104
10
10
3D model
3D model
10105
12
12
3D model
3D model
10106
11
11
3D model
3D model
10107
10
11
3D model
3D model
10108
10
10
3D model
3D model
10109
10
10
3D model
3D model
10110
12
12
3D model
3D model
10111
11
11
3D model
3D model
10112
11
11
3D model
3D model
10113
10
10
3D model
3D model
10114
10
10
3D model
3D model
10115
11
11
3D model
3D model
10116
10
10
3D model
3D model
10117
12
12
3D model
3D model
10118
11
11
3D model
3D model
10119
10
11
3D model
3D model
10120
10
10
3D model
3D model
10121
10
10
3D model
3D model
10122
10
10
3D model
3D model
10123
11
11
3D model
3D model
10124
10
10
3D model
3D model
10125
10
10
3D model
3D model
10126
11
11
3D model
3D model
10127
10
10
3D model
3D model
10128
10
10
3D model
3D model
10129
10
10
3D model
3D model
10130
10
10
3D model
3D model
10131
11
11
3D model
3D model
10132
10
10
3D model
3D model
10133
11
11
3D model
3D model
10134
10
10
3D model
3D model
10135
10
10
3D model
3D model
10136
10
10
3D model
3D model
10137
11
11
3D model
3D model
10138
11
11
3D model
3D model
10139
10
10
3D model
3D model
10140
10
10
3D model
3D model
10141
10
10
3D model
3D model
10142
11
11
3D model
3D model
10143
11
11
3D model
3D model
10144
10
10
3D model
3D model
10145
10
10
3D model
3D model
10146
10
10
3D model
3D model
10147
10
11
3D model
3D model
10148
11
11
3D model
3D model
10149
11
11
3D model
3D model
10150
10
10
3D model
3D model
10151
10
10
3D model
3D model
10152
11
11
3D model
3D model
10153
11
11
3D model
3D model
10154
11
11
3D model
3D model
10155
10
10
3D model
3D model
10156
10
10
3D model
3D model
10157
10
10
3D model
3D model
10158
10
10
3D model
3D model
10159
10
10
3D model
3D model
10160
10
10
3D model
3D model
10161
10
10
3D model
3D model
10162
10
10
3D model
3D model
10163
10
10
3D model
3D model
10164
11
11
3D model
3D model
10165
10
10
3D model
3D model


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