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Knight's Tour Notes
compiled by George Jelliss — © 2000 – 2004

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HISTORY
Early History of Knight's Tours
Rediscovery of the Knight's Problem
Squares, Diamonds and Roget's Method
History of Magic Knight's Tours

Chronology: Before 1800
Chronology: 1800 to 1899
Chronology: 1900 to 1999
Chronology: 2000s + Links
Biobibliography

MAGIC TOURS
General Theory of Magic Knight's Tours
Semi-Magic Knight Tours » » »
Theory of 8×8 Magic Knight's Tours
12×12 Magic Kt Tours
16×16 Magic Kt Tours

Catalogue of 8×8 Magic Kt Tours
Catalogue: The Rhombic Tours
Catalogue: The Beverley Tours
Catalogue: The Irregular Tours

SMALLER RECTANGLES
3×N Knight's Tours »
4×N Knight's Tours
5×5 Knight's Tours
6×6 Knight's Tours » » »
GENERALISATIONS
Theory of Moves
Wazir Wanderings
Leapers at Large
Fiveleaper Tours
CHESSBOARD TOURS
Enumerations of Classes of 8×8 Tours »
Graphical 8×8 Tours: Lines

Simple-Linking of Pseudotours
Collinian Tours
Crosspatch Tours
Octonarian Tours
Vandermondian Tours

GEOMETRY
Knight-Move Geometry
Symmetry in Knight's Tours
Octonary Symmetry
Direct Quaternary Symmetry
Oblique Quaternary »
.

» Leads to further pages.

LARGER RECTANGLES
10×10 Knight's Tours
Boards Larger than 12×12

RECREATIONS
Literary Tours
Non-Intersecting Paths

Most recent developments: January 2003: Tim Roberts discovers two new 8×8 magic knight tours.
Tom Marlow discovers 10×10 semimagic tour with quaternary symmetry.
George Jelliss proves (nondiagonal) magic knight tours on boards 2h×2k with h and k odd to be impossible.
March 2003: Awani Kumar constructs four 12×12 magic knight's tours with both diagonals magic.
June-August 2003: G. Stertenbrink, J.-C. Meyrignac and H. Mackay find five new 8×8 magic knight tours.
This work in now complete. Go to: Computing Magic Knight Tours for complete details.
See: The Games and Puzzles Journal Issues 25 and 26 for further details of the other results.

Comments, queries, new work or other information on knight's tours are always welcome and I always endeavour to reply by return if possible. email (remove spaces): gpj now @ ntlworld.com.


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