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In this case, since HighLife's rulestring is B36/S23 (where the numbers after B are the birth conditions and the numbers after S are the survival conditions), any living cell with 6 neighbors will die in the next generation, since 6 is not in HighLife's survival conditions.plurb wrote: June 29th, 2026, 11:39 am This question isnt related to Conways game of life but highlife (I dont think its advanced enough for the other thread)
if a cell with 6 neighbours becomes alive, but a cell cant survive with 6 neighbours, what happens? does it become alive or dead?
A more extreme example is the OCA:Seeds rule, B2/S, where cells turn ON if they have two parent-neighbors -- but they never stay on.plurb wrote: June 29th, 2026, 11:39 am This question isnt related to Conways game of life but highlife (I dont think its advanced enough for the other thread)
if a cell with 6 neighbours becomes alive, but a cell cant survive with 6 neighbours, what happens? does it become alive or dead?
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x = 3, y = 3, rule = HighLife
b2o$obo$2o!'B' stands for birth, and lists the birth conditions. 'S' stands for survival, and lists the survival conditions.
Could anyone post the specific collision between the two objects which produces the aforementioned still-life? I can't seem to find it anywhere.Confocal wrote:August 21st, 2023, 3:58 pm
if a glider collides with a U-turner in a certain way, the ash will contain a 15-bit still life with apgcode xs15_6t1egoz11?
Here:MDA wrote: July 1st, 2026, 4:46 pm The LifeWiki "did you know" page states that
Could anyone post the specific collision between the two objects which produces the aforementioned still-life? I can't seem to find it anywhere.Confocal wrote:August 21st, 2023, 3:58 pm
if a glider collides with a U-turner in a certain way, the ash will contain a 15-bit still life with apgcode xs15_6t1egoz11?
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x = 38, y = 32, rule = B3/S23
bo$2bo$3o26$35b3o$35b3o$34bobo$34b2o!
I do not mean to implore you to compile one, but will there be a 2026 Oscillator Stamp Collection available soon?
Yes, that's true. As long as we can take as much time as we need to build a new copy of a self-constructing spaceship, we can build it at any sufficiently large (X,Y) offset.aengmore wrote: July 8th, 2026, 9:24 am Is this true?
For each rational number, there is a spaceship with this slope
A 61-cell spaceship, technically (see the last few paragraphs) -- but yeah, if we're optimizing for population rather than for complexity or period, RCT15 is currently the way to go.NNlk05 wrote: July 8th, 2026, 7:26 pm Heck. There’s a 75 cell spaceship of every slope and displacement because of RCT.
Naszvadi wrote: July 9th, 2026, 7:23 am According to LifeWiki:OCADYK/15, there is a polyglot ship that works in B3/S23 and in B3/S235 too. Can someone show me that ship?
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x = 51, y = 10, rule = B3/S23
7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2bo
2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19bo
2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!Thanks! I don't always quote a pattern, but when I do - OT rules supported from Life to B38/S0235678:hotdogPi wrote: July 9th, 2026, 7:52 amNaszvadi wrote: July 9th, 2026, 7:23 am According to LifeWiki:OCADYK/15, there is a polyglot ship that works in B3/S23 and in B3/S235 too. Can someone show me that ship?Code: Select all
x = 51, y = 10, rule = B3/S23 7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2bo 2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19bo 2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!
Code: Select all
x = 51, y = 10, rule = B38/S0235678
7b2o6bo19bo6b2o$4b2ob2o2b3ob3o15b3ob3o2b2ob2o$b4o2bo2bo6b2o13b2o6bo2b
o2b4o$o4bo4b2o4bo2bo11bo2bo4b2o4bo4bo$b2o7b2o27b2o7b2o$20b3ob3ob3o$19b
o2bobobobo2bo$20b3o5b3o$19b2o4bo4b2o$24bobo!
I am not sure what you mean by "pattern's population is upper bounded" but "not all cells eventually become periodic" is total aperiodic.Empty Emptiness wrote: July 10th, 2026, 7:12 am Is there a name for patterns in which the pattern's population is upper bounded but not all cells eventually become periodic?
The former means that the pattern's population does not "grow without bound", as in the way is meant in the Sawtooth article. It still should not "tend to infinity".NNlk05 wrote: July 10th, 2026, 7:16 amI am not sure what you mean by "pattern's population is upper bounded" but "not all cells eventually become periodic" is total aperiodic.Empty Emptiness wrote: July 10th, 2026, 7:12 am Is there a name for patterns in which the pattern's population is upper bounded but not all cells eventually become periodic?
I think the cells in the path of the spaceships in normal sawteeth is aperiodic.Empty Emptiness wrote: July 10th, 2026, 7:41 am The former means that the pattern's population does not "grow without bound", as in the way is meant in the Sawtooth article. It still should not "tend to infinity".
For the latter, I wasn't going to require it to be total aperiodic, I just wanted there to exist cells that didn't become periodic.
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x = 26, y = 32, rule = B3/S23
21bo$4bo3bo11bobo$3bobobobo9bo3bo$4b2ob2o9bo3bo$17bo3bo$16bo3bo$5o3b5o
4bobo$ob4ob4obo5bo$2obobobobob2o$bobobobobobo$2b3o3b3o$3bo5bo$15b3o$14b
o3bo$13bo5bo$8b3o3bo3bo$7bo3bo3b3o$6bo5bo$7bo3bo$8b3o$16bo5bo$15b3o3b
3o$14bobobobobobo$13b2obobobobob2o$7bo5bob4ob4obo$6bobo4b5o3b5o$5bo3b
o$4bo3bo$3bo3bo9b2ob2o$2bo3bo9bobobobo$3bobo11bo3bo$4bo!
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x = 69, y = 38, rule = B3/S23
32bo$31bobo$31bobo$29b3ob2o$28bo$29b3ob2o$31bob2o$61b2o$60bobo$36b2o5b
o$35bo2bo3bobo$36b2o3bo2bo3bo$42b2o3bobo8b2o3b2o$2b2o6b2o35bobo7b2o5b
2o$bo2bo4bo2bo35bo9b2o3b2o$6o2b6o45bo3bo$bo2bo4bo2bo28b2o9bo$2b2o6b2o
29bobo7bobo$42bo8b2o$16b2o8bo$15bobo7bobo29b2o6b2o$16bo9b2o28bo2bo4bo
2bo$5bo3bo45b6o2b6o$4b2o3b2o9bo35bo2bo4bo2bo$3b2o5b2o7bobo35b2o6b2o$4b
2o3b2o8bobo3b2o$20bo3bo2bo3b2o$24bobo3bo2bo$25bo5b2o$6bobo$6b2o$34b2o
bo$34b2ob3o$40bo$34b2ob3o$35bobo$35bobo$36bo!