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{\bf Joe DeMaio and Bindia Mathew}
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{\bf Which Chessboards have a Closed Knight's Tour within the Rectangular Prism?}
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A closed knight's tour of a chessboard uses legal moves of the knight to visit
every square exactly once and return to its starting position. In 1991 Schwenk
completely classified the $m\times n$ rectangular chessboards that admit a
closed knight's tour.  In honor of the upcoming twentieth anniversary of the
publication of Schwenk's paper, this article extends his result by classifying
the $i\times j\times k$ rectangular prisms that admit a closed knight's tour. 



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