
Re: Continous path on square grid
Posted:
Feb 5, 2013 8:29 PM


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 endtoend 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/
 Clive Tooth

