Corpus ID: 200294

# Magic Knight's Tours in Higher Dimensions

@article{Kumar2012MagicKT,
title={Magic Knight's Tours in Higher Dimensions},
author={Awani Kumar},
journal={ArXiv},
year={2012},
volume={abs/1201.0458}
}
• Awani Kumar
• Published 2012
• Computer Science, Mathematics
• ArXiv
A knight's tour on a board is a sequence of knight moves that visits each square exactly once. A knight's tour on a square board is called magic knight's tour if the sum of the numbers in each row and column is the same (magic constant). Knight's tour in higher dimensions (n > 3) is a new topic in the age-old world of knight's tours. In this paper, it has been proved that there can't be magic knight's tour or closed knight's tour in an odd order n-dimensional hypercube. 3 \times 4 \times 2n-2… Expand
2 Citations

#### Figures and Topics from this paper

The Closed Knight Tour Problem in Higher Dimensions
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• Electron. J. Comb.
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The solution of existence of closed knight tours for rectangular chessboards for rectangular boards for n-dimensional rectangular boards is given. Expand

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