10 163 Further Notes and Views: Difference between revisions

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<noinclude>Back to [[10 163]]</noinclude><br>
<font size=+1 color=red>'''Warning.'''</font> In 1974 K. Perko

noticed that the knots labeled [[10_161]] and [[10_162]] in
<font size=+1 color=red>'''Warning.'''</font> In 1973 K. Perko noticed that the knots that were later labeled 10<sub>161</sub> and 10<sub>162</sub> 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 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]
Rolfsen's tables are in fact the same. In our table we removed his
[http://knotplot.com/perko/].
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].

Latest revision as of 13:39, 8 August 2013

Back to 10 163

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].