Geodesic
Which chessboards have a closed knight's tour within the rectangular prism?
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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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.
DOI : 10.37236/495
Classification : 05C45, 05C38, 00A08
Mots-clés : rectangular prism, knight's tour 
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     title = {Which chessboards have a closed knight's tour within the rectangular prism?},
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Joe DeMaio; Bindia Mathew. Which chessboards have a closed knight's tour within the rectangular prism?. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/495

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