New thread because new day + progress. My Fogleworm configuration search is now pretty darned working-ish. Here's three stages for N=3: finding unique candidates, generating valid configurations of candidates, and filtering that down to unique configs. N(3) = 2, as hoped!
The same output for N=4 looks like this. I'm expecting N(4) = 96. I got...97. Here's a fun game, find the two grids among the 97 in that last pair of images that are congruent under transformation. [screams in math] But this is CLOSE, which is GREAT.
N=5, targeting N(5) = 856. 1087 is...a great deal more than 856.
I don't dare run N=6 right now, but if I'm lucky and the proportion of search time is going up by "only" two orders of magnitude for each N, it'd probably get done overnight if I start it tonight in this current form.
gonna get colorful, testing out graphics stuff