340.--THE CUBIC KNIGHT'S TOUR.

Some few years ago I happened to read somewhere that Abnit Vandermonde,

a clever mathematician, who was born in 1736 and died in 1793, had

devoted a good deal of study to the question of knight's tours. Beyond

what may be gathered from a few fragmentary references, I am not aware

of the exact nature or results of his investigations, but one thing

attracted my attention, and that was the statement that he had proposed

the question of a tour of the knight over the six surfaces of a cube,

each surface being a chessboard. Whether he obtained a solution or not I

do not know, but I have never seen one published. So I at once set to

work to master this interesting problem. Perhaps the reader may like to

attempt it.

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