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Cell chains (game and conjecture)

Posted: August 1st, 2023, 11:20 am
by Coolberry
Rule. 1 you have to turn a blinker into a infinite growth predecessor.
by adding one cell then waiting for 1 or more gens before the next person repeats this
Rule 2 you can't have the same grid of objects appear twice.
Rule 3 if the pattern dies out the game ends.
Rule 4 if you can only create a grid of objects that you have done before the game will end.
Rule 5 if you create an infinite growth predecessor the game ends BUT the theory will be proved true.
Rule 6 try to prove the theory.
Rule 7 no double posting
Rule 8 no posting more than 6 times a day
Rule 9 The game will end on page 100 if it has not already done so.
Here is the starting Blinker.

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3o!
Have a nice day! -Coolberry

Re: Cell chains (game and conjecture)

Posted: August 1st, 2023, 7:43 pm
by lk050807
This:

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x = 3, y = 3, rule = B3/S23
bo2$3o!

Re: Cell chains (game and conjecture)

Posted: August 1st, 2023, 10:33 pm
by Disaster16439

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x = 7, y = 7, rule = B3/S23
2b3o2$o5bo$o5bo$2o4bo2$2b3o!
Someone should make cell salvo

Re: Cell chains (game and conjecture)

Posted: August 2nd, 2023, 6:46 pm
by BlinkerSpawn
I notice that the rules do not require the previous pattern to stabilize.
Thus, I will add this cell to gen 13 of the previous pattern:

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x = 12, y = 9, rule = LifeHistory
5.3A$4.2A.A$2.ACA.A$.4A6.A$2A$.2A$2.A$7.2A$7.2A!
This new pattern takes over a thousand ticks to stabilize - plenty of time over which it can be coaxed into a workable pattern.

Re: Cell chains (game and conjecture)

Posted: August 2nd, 2023, 11:43 pm
by rattlesnake
Add to gen 226:

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x = 40, y = 45, rule = LifeHistory
17.A$17.A$17.A$18.A$15.2A2.2A$3.A12.A2.2A$2.A.A11.2A.3A$3.A15.2A.A$19.
A2.2A$19.A3.A$20.5A$11.A8.2A2.2A$11.2A8.A3.A$13.A8.A.7A$9.A3.3A6.A3.A
$8.A.2A.3A6.3A5.A$7.6A8.2A.A.A.2A$7.A2.A.3A6.2A3.A8.3A$8.A5.A8.3A.A6.
A3.A$24.4A.2A3.A3.A$18.2A6.A2.A4.A3.A$17.A2.A6.3A5.3A$17.A2.A$18.2A13.
A$32.A.A$31.A3.A$30.2A.A.A$23.A3.A3.5A$32.A.A$19.A2.A5.2A$17.2A2.2A.3A
.2A.A3.2A$19.A.2A.A.2A2.A5.2A$27.A3.3A2.A.A$24.2A3.2A5.3A$22.4A.A2.A5.
3A$21.2A5.2A7.2A$19.2A2.3A3.A5.C.A.A$25.A12.A$29.A5.A$35.A$35.A2$23.2A
$23.2A!