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#Post#: 36--------------------------------------------------
Diagonally magic tours on square boards
By: brodiemark Date: May 9, 2024, 10:18 am
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Hi,
I am a professor of computer science and also a chess player, so
knight's tours are of considerable interest to me. The website
at
HTML https://www.mayhematics.com/t/t.htm
states that "Diagonally
magic tours on all square boards of side 4k with k > 2 are
possible". I am looking for a source that describes how to
construct such tours. I browsed through some of Awani Kumar's
papers and other resources without success. Any help would be
much appreciated!
Thanks,
Mark Brodie
Department of Computer Science
Simpson College
Indianola, Iowa
#Post#: 38--------------------------------------------------
Re: Diagonally magic tours on square boards
By: gsgs Date: April 12, 2025, 6:18 am
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sorry, I only find this now, 1 year later.
I have not been much interested in diagonally magic tours,
it's not so "mathematic" .
Pan-diagonal tours are more mathematically relevant.
And since the knight alternates black and white
it's more natural to have n*n*n/2 in the diagonal
with odd numbers
and n*n*n/2-n in the diagonal with even numbers
on a n*n-board,
starting with 0
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