I have one that I think is 117. 00 e8 n7 w7 s5 e5 n3 w3 s2 e2 n3 w3 s5 e5 n7 w7 s8. 63 + 35 + 15 + 4 = 117. On Wed, Mar 23, 2016 at 10:24 AM, James Propp <jamespropp@gmail.com> wrote:
Every closed path on a square grid has a "signed area" equal to the sum of the winding numbers around the grid squares.
What is the maximum possible signed area of a closed grid-path that lives in [0,8]x[0,8] and doesn't re-use any edges?
I found one with signed area 114; is this best possible? An easy upper bound is 120 (the sum of the upper bounds on the individual winding numbers associated with the 64 grid squares).
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