Knight's Tour Notes
Compiled by George Jelliss © 2000 – 2013

Those new to the subject may like to see some selected Highlights. I have also reproduced here an older essay Introducing Knight's Tours since I have found it was cited in several sources. For a record of changes to this website and a history of this work on knight's tours see the Archive Page. Pages marked (wip) are work in progress and not yet accessible. Asterisked pages (*) outside the magic knight section also include magic or semimagic results.


HISTORY
Early History of Knight's Tours
Rediscovery of the Knight's Problem
Rhombic Tours and Roget's Method
History of Magic Knight's Tours *
Indian Tours
Representation of Knight's Tours
Cryptotours

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

GEOMETRY
Theory of Moves and Pieces
Theory of Journeys
Shortest Path Problem
Non-Intersecting Paths

Knight-Move Geometry
Symmetry in Knight's Tours
Simple-Linking of Pseudotours

SQUARE BOARDS
Odd Square Boards
6×6 Symmetric
6×6 with 4 or 12 Slants
6×6 with 6 or 10 Slants
6×6 with 8 Slants

Enumerations of 8×8 Tours
Rhombic Tours with 4 Slants
Graphical 8×8 Tours: Lines
Collinian Tours
Crosspatch Tours
Octonarian Tours
Vandermondian Tours
Mixed Quaternary Symmetry

10×10 Board
Even Larger Boards

OBLONG BOARDS
3×N Knight Tours Open
3×N Knight Tours Closed
4×N Knight Tours
Larger Oblongs

MAGIC
Theory of Magic
Torus Tours

Theory of Magic Knight's Tours
Semi-Magic Knight Tours
Semi-Magic 4×N
Semi-Magic 6×N
Semi-Magic 8×N

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

12×12 Magic
16×16 Magic
Larger Magic

SHAPED AND HOLEY BOARDS
Smallest Tourable Boards
Open Tours
Octonary Symmetry
Direct Quaternary
Direct Binary
Oblique Quaternary Shaped
Oblique Quaternary Holey
Oblique Binary
Asymmetry

OTHER PIECES
Wazir
King *
Riders *
Leapers at Large
Imperial Tours *
Fiveleaper *
Multimovers *

Honeycomb Pieces
Space Pieces (wip)


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