Knot table - ten crossings: Difference between revisions
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==Knots with 10 crossings== |
==Knots with 10 crossings== |
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{{Knot Table Image|10_1}} |
{{Knot Table Image|10_1}} |
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{{Knot Table Image|10_165}} |
{{Knot Table Image|10_165}} |
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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 17:50, 27 August 2005
Knots with 10 crossings
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| Where's Perko? |
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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: [1] [2] [3] [4].
