Scorbie wrote:Wow, I never new methuselahs had any use for making a pattern. Say hi to 35201M!
It doesn't meet the stipulation that every cell should die and remain dead after some number of generations.
What's needed is a good expanding diehard as opposed to a methuselah, I suspect this is a perfect problem for LifeAPI or an adaptation of apgsearch. Just fill most of the center of the nonfiller with random patterns of mostly ON cells, run for a few dozen ticks to make sure the nonfiller survives, then maybe remove the nonfiller and run each pattern to stability.
Sort the resulting ash by final population -- every now and then one will happen to be a diehard. If so, re-run it in LifeHistory (or equivalent), chop the original nonfiller bounding box out, and see if it matches an all-state-2 rectangle.
Again a later generation of the nonfiller can be used to increase the search space. I tried this with a later generation of die658.rle, but not surprisingly it left too many holes to be reasonably patched up:
I guess those patterns are relevant to this topic, because if we can make synth, and use a breader to have them as trace this will yield a total periodic... if I'm right the next step is to find synthesis for those stretchers. Year ago it would sound science fiction, but with latest discoveries it sounds pretty attainable.
simsim314 wrote:I guess those patterns are relevant to this topic, because if we can make synth, and use a breader to have them as trace this will yield a total periodic...
Isn't this pattern enough to become total periodic (with period 1) ? Also, I may have understood wrong, but I think two or more nonfillers would collide in one Life plane.
Hmm period 1? Isn't empty universe is period 1? Otherwise you don't need a stretcher, simply couple of breeders will suffice.
I guess Total period should mean every cell becomes periodic with P>1.
It's also an interesting question to investigate is there a way to make each cell periodic, but for each period, there would be a rectangle in which the period will not hold (globally a-periodic, but locally totally periodic).
