The Rolfsen Knot Table: Difference between revisions
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Click on a knot to learn more about it! |
Click on the name of a knot to learn more about it! |
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{{:Knot table - up to |
{{:Knot table - up to seven crossings}} |
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{{:Knot table - eight crossings}} |
{{:Knot table - eight crossings}} |
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{{:Knot table - nine crossings}} |
{{:Knot table - nine crossings}} |
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{{:Knot table - ten crossings}} |
{{:Knot table - ten crossings}} |
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In 1974 K. Perko noticed that the knots labeled 10<sub>161</sub> and 10<sub>162</sub> in Rolfsen's tables are in fact the same. In our table we removed his 10<sub>162</sub> and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]. |
In 1974 K. Perko noticed that the knots labeled 10<sub>161</sub> and 10<sub>162</sub> in Rolfsen's tables are in fact the same. In our table we removed his 10<sub>162</sub> and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [http://mathworld.wolfram.com/PerkoPair.html] [http://www.math.cuhk.edu.hk/publect/lecture4/perko.html] [http://www.maths.warwick.ac.uk/~bjs/Perko-page.html] [http://www.math.uiuc.edu/~jms/Videos/ke/images.html]. |
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Revision as of 16:10, 23 August 2005
Click on the name of a knot to learn more about it!
Knots with 7 or fewer crossings
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Knots with 8 crossings
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Knots with 9 crossings
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Knots with 10 crossings
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See warning below |
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Warning. In 1973 K. Perko noticed that the knots that were later labeled 10161 and 10162 in Rolfsen's tables (which were published in 1976 and were based on earlier tables by Little (1900) and Conway (1970)) are in fact the same. In our table we removed Rolfsen's 10162 and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [1] [2] [3] [4] [5].
In 1974 K. Perko noticed that the knots labeled 10161 and 10162 in Rolfsen's tables are in fact the same. In our table we removed his 10162 and renumbered the subsequent knots, so that our 10 crossings total is 165, one less than Rolfsen's 166. Read more: [6] [7] [8] [9].
