\documentclass[12pt]{article} \usepackage{amsmath,mathrsfs,bbm} \usepackage{amssymb} \textwidth=4.825in \overfullrule=0pt \thispagestyle{empty} \begin{document} \noindent % % {\bf Joe DeMaio and Bindia Mathew} % % \medskip \noindent % % {\bf Which Chessboards have a Closed Knight's Tour within the Rectangular Prism?} % % \vskip 5mm \noindent % % % % 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. \end{document} .