10 124 Quick Notes: Difference between revisions

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[[10_124]] is also known as the torus knot [[T(5,3)]] or the pretzel knot P(5,3,-2). It is one of two knots which are both torus knots and pretzel knots, the other being [[8_19]] = [[T(4,3)]] = P(3,3,-2).
Also known as "The Torus Knot [[T(5,3)]]".

If one takes the symmetric diagram for 10_123 and makes it doubly alternating one gets a diagram for 10_124. That's the torus knot view. There is then a nice representation of the quandle of 10_124 into the dodecahedral quandle Q_30. See http://www.maths.warwick.ac.uk/~bjs/add233.html

Latest revision as of 06:24, 19 December 2008

10_124 is also known as the torus knot T(5,3) or the pretzel knot P(5,3,-2). It is one of two knots which are both torus knots and pretzel knots, the other being 8_19 = T(4,3) = P(3,3,-2).