This might help: http://www.mathpuzzle.com/leapers.htm http://www.mathpuzzle.com/leapers.htm As you can see from those examples, a symmetric tour is a rather r

This might help: http://www.mathpuzzle.com/leapers.htm http://www.mathpuzzle.com/leapers.htm As you can see from those examples, a symmetric tour is a rather regular-looking object; a random tour has an extremely low probability of being symmetric.