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The discovery of two new magic knights tours

journal contribution
posted on 06.12.2017, 00:00 by Tim Roberts
A magic square is one in which all rows and columns, and the two main diagonals, sum to the same total. A knight's tour is a tour of the board in which, using knight's moves, all squares are visited exactly once. When the squares visited are numbered from 1 to 64, if the square is magic (but without including the two main diagonals), this is termed a magic knight's tour. This paper describes two magic knight's tours on an 8 by 8 board found in early 2003, the first new tours to be discovered since 1988, and the first irregular tours to be discovered since 1936.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

89

Issue

514

Start Page

22

End Page

27

Number of Pages

6

ISSN

0025-5572

Location

Leicester

Publisher

The Mathematical Association

Language

en-aus

Peer Reviewed

Yes

Open Access

No

External Author Affiliations

Faculty of Informatics and Communication; TBA Research Institute;

Era Eligible

Yes

Journal

Mathematical gazette.

Exports