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). |
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Also known as "The Torus Knot [[T(5,3)]]". |
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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 |