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
The Closed Knight Tour Problem in Higher Dimensions
TLDR
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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