Clive Tooth: > My program has found 286 examples of a P(5,8). > > Start Sols > point > (0,0) 100 > (1,0) 54 > (1,1) 68 > (2,0) 12 > (2,1) 12 > (2,2) 40 > --- > 286 > > However, these solutions are not all essentially distinct, in > particular a path and its reversal are both counted.
For a sufficiently asymmetrical path there are 16 variations possible, given by combinations of reflection, rotation, and end-to-end reversal. In some cases, of course, these will not all be distinct.
> So I would guess that there are about 100 essentially distinct > solutions, probably less.
Probably quite a bit less. -- Mark Brader, Toronto | "My ambition is to see a saying of mine attributed firstname.lastname@example.org | to Dorothy Parker or Mark Twain." -- Joe Fineman