Knight's tours of an 8 x 8 chessboard

McKay, Brendan D

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Knight's tours of an 8 x 8 chessboard

Date

1997

Authors

McKay, Brendan D

Abstract

We describe a computation that determined the number of knight's tours of a standard chessboard. We also verify Knuth's count of tours with a symmetry. The total number of undirected tours is 13,267,364,410,532 and the number of equivalence classes under rotation and reflection of the board is 1,658,420,855,433.