ç Mayhematics
Knight's Tour Notes
Compiled by George Jelliss © 2000 – 2011
Transferred to this 'Mayhematics' site February-March 2011

Those new to the subject may like to see some selected Highlights.
For a history of my work on knight's tours see the Introductory Biographical Note.
I have also reproduced here an older essay Introducing Knight's Tours since I have found it was cited in several sources.
The sign » indicates that the link leads to further pages.
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
Representation of Knight's Tours
Cryptotours

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

SQUARE BOARDS
Knight's Tours of Odd Square Boards (March 2011)
6×6 Knight's Tours » » »

Enumerations of Classes of 8×8 Tours »
Graphical 8×8 Tours: Lines
Collinian Tours
Crosspatch Tours
Octonarian Tours
Vandermondian Tours

10×10 Knight's Tours
Knight's Tours of Even Larger Square Boards

OBLONG BOARDS
3×N Knight's Tours »
4×N Knight's Tours
Larger Oblongs (March 2011)

SHAPED & HOLEY BOARDS
The Smallest Tourable Boards (August 2009)
Octonary Symmetry
Direct Quaternary Symmetry
Oblique Quaternary »

MAGIC TOURS
Theory of Magic »
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

GEOMETRY
Knight-Move Geometry
Symmetry in Knight's Tours
Simple-Linking of Pseudotours
Non-Intersecting Paths

OTHER PIECES
Theory of Moves
Theory of Journeys
Shortest Path Problem
Wazir and Rook Tours
King and Queen Tours
Leapers at Large
Fiveleaper Tours

OTHER BOARDS
Magic Torus Tours (August 2009)
Honeycomb Boards (April 2011)


Latest changes made:

8 June 2011: Older essay: "Introducing Knight's Tours" reposted. Chronology pages partly updated.
31 May 2011: Note on 4×4 Magic Square Tours added as Supplement to "Theory of Magic".
17 May 2011: Section on "Theory of Magic" added.
4 May 2011: Section on King tours revised to include extra diagrams and tables.
29 April 2011: Section on Wazir tours revised to include diagrams of more tours, and a correction.
26 April 2011: The page on Wazir tours extended - five sections added, including Magic Rook Tours.
9 April 2011: A new page on King and Queen Tours added.
6 April 2011: A new page about tours on Hexagonal and Triangular Honeycomb boards added.

13 March 2011: The note on "Literary Tours" has been moved to the History section and split into two sections, the first covering methods of Representation of Knight's Tours, the second on Cryptotours. The note on Non-intersecting knight paths has been moved into the Geometry section. The note on the Smallest Knight-Tourable Boards as been put in the section Shaped Boards. The note on Magic Torus Tours has been put in a new section on Other Boards. This section will eventually also include notes on such subjects as tours of Honeycomb boards, and tours of Boards of Three and Higher Dimensions.


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): george . jelliss @ virgin . net.