Thursday 19 March 2015

Non-Intersecting Knight Paths

I've just updated the page of my website on this subject:

http://www.mayhematics.com/t/2n.htm

Here are two new results I've found.
Non-intersecting knight's paths of 164 moves on the 16 by 16 board
showing 180 degree and 90 degree rotational symmetry.



Symmetry in such paths has not been much studied.
Can these be improved upon? That is do the same with more knight moves?

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