On Feb 5, 7:15 pm, m...@vex.net (Mark Brader) wrote:
> 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.
I agree with your remark about 16 variations. But my figure of 286 relates only to paths starting at one of the points (0,0) (1,0) (1,1) (2,0) (2,1) or (2,2) - not every one of the 25 points in the grid. Anyway, I have now written the code to discard duplicate solutions and it turns out that there seem to be 118 essentially distinct configurations. Here they are in a Flickr set... http://www.flickr.com/photos/lhc_logs/sets/72157632699998440/