10 124 Further Notes and Views: Difference between revisions
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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 <math> |
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 <math>Q_{30}</math>. See [http://www.maths.warwick.ac.uk/~bjs/add233.html]. |
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[[10_124]] is not <math>k</math>-colourable for any <math>k</math>. See [[The Determinant and the Signature]]. |
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text = Torus knot T(5,3) form| |
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Latest revision as of 08:48, 27 August 2016
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 . See [1].
10_124 is not -colourable for any . See The Determinant and the Signature.
