Knight's tours of an 8 x 8 chessboard

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. Show more