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The discovery of two new magic knight’s tours

Published online by Cambridge University Press:  01 August 2016

Tim S. Roberts
Tim S. Roberts*
Affiliation:
Faculty of Informatics and Communication, Central Queensland University, Bundaberg, Queensland 4670, Australia email: t.roberts@cqu.edu.au
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Extract

A magic square is one in which all rows and columns, and the two main diagonals, sum to the same total. A knight’s tour is a tour of the board in which, using knight’s moves, all squares are visited exactly once. When the squares visited are numbered from 1 to 64, if the square is magic (but without including the two main diagonals), this is termed a magic knight’s tour. This paper describes two magic knight’s tours on an 8 by 8 board found in early 2003, the first new tours to be discovered since 1988, and the first irregular tours to be discovered since 1936.

Type
Articles
Information
The Mathematical Gazette , Volume 89 , Issue 514 , March 2005 , pp. 22 - 27
Copyright
Copyright © The Mathematical Association 2005

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References

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