Talk:Smolder

I'm having a lot of trouble trying to come up with a way to turn one number into another. there's probably an intuitive way to do it, I just don't know enough to figure out how, partly since the changes are symmetric —aadenboy (talk|contribs) 01:55, 22 May 2025 (UTC)

so it turns out that for some numbers it's actually impossible to reach another number, and you end up with these "groups" of nodes that can be reached from a starting node

Connection graphs for

101

and

202

respectively

this is honestly really interesting and I'll need to spend some more time tinkering with this revelation, but it's also slightly infuriating —aadenboy (talk|contribs) 20:01, 29 May 2025

full graph. seems like they all converge to the

002

222

133

313

311

131

which is self contained, alongside the

000

and

220

dead ends. all groups can only traverse inside its group via single-cell transformations, and go down towards the self-contained ring via combinations. the self-contained ring is the only ring that can stay inside of its ring through both transformations

all of the cells in this group are optimal for computations —aadenboy (talk|contribs) 19:52, 30 May 2025 (UTC)