Warnsdorff's Rule is a heuristic for finding knight's tours on chessboards. A conjecture by the original contributor of this code and Paul Cull is that Warnsdorff's rule, with suitable modifications, can give a knight's tour on any square board. You can use this program to generate tours according to this method on a square board of any size:
- Download this project.
- Follow the instructions in the INSTALL file (installing Python and required libraries).
python tour.py 100to produce instructions for a tour on a board of size 100.
python tour.py 100 | python tour_to_tk.pyto see the tour drawn for you in a TkInter window.
python tour.py 100 | python tour_to_swf.pyto get an swf (Flash) movie of the tour being drawn.
When the tour is "drawn" you see a square coloured blue or red when the knight reaches that square - blue indicates that no tiebreak was necessary, red that a tiebreak was needed (see the research paper cited above for more details).
I hope that users of this code are inspired to learn more about Warnsdorff's Rule, and perhaps to prove that the modified rule will actually produce tours on all square boards - this is known for boards whose size is equivalent to 7 mod 8, thanks to Sam Ganzfried's REU paper on the subject.