Ridgerunner minimizations
 

Listed are knots through 10 crossings followed by links. Starting conformations are from the KnotPlot distribution. Linked images and labels have associated minimization movies available. This page is updated frequently as computations complete. All movies can be played with Apple's QuickTime Player. The curves are scaled to fill the frame throughout evolution. Actual thickness is 1 for everything shown.
 


0_1

3_1

4_1

5_1

5_2

6_1

6_2

6_3

7_1

7_2

7_3

7_4

7_5

7_6

7_7

8_1

8_2

8_3

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8_5

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8_10

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8_21

9_1

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9_9

9_10

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9_18

9_19

9_20

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9_24

9_25

9_26

9_27

9_28

9_29

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9_31

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9_34

9_35

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9_40

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9_42

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9_49

10_1

10_2

10_3

10_4

10_5

10_6

10_7

10_8

10_9

10_10

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10_13

10_14

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10_18

10_19

10_20

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10_25

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10_27

10_28

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10_52

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10_60

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10_64

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10_75

10_76

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10_84

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10_95

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10_102

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10_128

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10_159

10_160

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10_162

10_163

10_164

10_165

10_166

0_2_1

0_3_1

0_4_1

2_2_1

4_2_1

5_2_1

6_2_1

6_2_2

6_2_3

6_3_1

6_3_2

6_3_3

7_2_1

7_2_2

7_2_3

7_2_4

7_2_5

7_2_6

7_2_7

7_2_8

7_3_1

8_2_1

8_2_2

8_2_3

8_2_4

8_2_5

8_2_6

8_2_7

8_2_8

8_2_9

8_2_10

8_2_11

8_2_12

8_2_13

8_2_14

8_2_15

8_2_16

8_3_1

8_3_2

8_3_3

8_3_4

8_3_5

8_3_6

8_3_7

8_3_8

8_3_9

8_3_10

8_4_1

8_4_2

8_4_3

9_2_1

9_2_2

9_2_3

9_2_4

9_2_5

9_2_6

9_2_7

9_2_8

9_2_9

9_2_10

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9_2_16

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9_2_18

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9_2_20

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9_2_27

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9_2_40

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9_2_55

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9_2_60

9_2_61

9_3_1

9_3_2

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9_3_14

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9_3_16

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9_3_18

9_3_19

9_3_20

9_3_21

9_4_1