counting to 50 with transitions

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R2INT
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Re: counting to 50 with transitions

Post by R2INT »

26. Add B5c for a 2c/6 counterfeit glider.

Code: Select all

#R B2cei3aeinq4ae5ck6i8/S2-n3acjy4z5y6c
!
# [[ RANDOMIZE ]]
We're in explosive territory now. Too bad we can't just remove B4a...
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LuveelVoom
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Re: counting to 50 with transitions

Post by LuveelVoom »

R2INT wrote: October 20th, 2026, 11:22 pm 26. Add B5c for a 2c/6 counterfeit glider.

Code: Select all

#R B2cei3aeinq4ae5ck6i8/S2-n3acjy4z5y6c
!
# [[ RANDOMIZE ]]
We're in explosive territory now. Too bad we can't just remove B4a...
See, you can do this in pass the rule... ...now if someone here decided to add B1c...
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R2INT
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Re: counting to 50 with transitions

Post by R2INT »

LuveelVoom wrote: October 20th, 2026, 11:23 pm
R2INT wrote: October 20th, 2026, 11:22 pm
See, you can do this in pass the rule... ...now if someone here decided to add B1c...
B1c would create a total mess. We'd have to stabilize the rule in the day or checkerboard agar.

Or, we could restart, like unname4798 did, but that wouldn't be counting to 50, it would be counting to 26.
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TheWayOfTheCon
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Re: counting to 50 with transitions

Post by TheWayOfTheCon »

R2INT wrote: October 20th, 2026, 11:22 pm 26. Add B5c for a 2c/6 counterfeit glider.

Code: Select all

#R B2cei3aeinq4ae5ck6i8/S2-n3acjy4z5y6c
!
# [[ RANDOMIZE ]]
We're in explosive territory now. Too bad we can't just remove B4a...
Would adding transitions to something like S2-n count?
I could've chose a better username, but oh well.

I think I've learned the ropes of cellular automata. My current interest is range-two LTLs.
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R2INT
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Re: counting to 50 with transitions

Post by R2INT »

TheWayOfTheCon wrote: October 20th, 2026, 11:27 pm
R2INT wrote: October 20th, 2026, 11:22 pm 26. Add B5c for a 2c/6 counterfeit glider.

Code: Select all

#R B2cei3aeinq4ae5ck6i8/S2-n3acjy4z5y6c
!
# [[ RANDOMIZE ]]
We're in explosive territory now. Too bad we can't just remove B4a...
Would adding transitions to something like S2-n count?
I don't think it would count, because it would be removing a survival condition, not adding one.

EDIT: I just had an idea: what if we got pass the rule to be an alternating checkerboard rule?
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TheWayOfTheCon
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Re: counting to 50 with transitions

Post by TheWayOfTheCon »

R2INT wrote: October 20th, 2026, 11:31 pm EDIT: I just had an idea: what if we got pass the rule to be an alternating checkerboard rule?
Would it be possible to modify it into one with all the transitions we currently have?
I could've chose a better username, but oh well.

I think I've learned the ropes of cellular automata. My current interest is range-two LTLs.
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R2INT
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Re: counting to 50 with transitions

Post by R2INT »

27. Adding S6a, which magically makes the rule less explosive:

Code: Select all

x = 64, y = 64, rule = B2cei3aeinq4ae5ck6i8/S2-n3acjy4z5y6ac
o2b4ob3ob5ob2o4bo4bobo2b2o4bo2bo3b7o2b2o$bo5b12o2bo2bo4b2o3b4o2bo2bob
o3b3obob2o2bob2o$6o5b4o3bo2b2o2b2ob2o2bobo2b7o2bo2b2obob2o2bo2bobo$2b
2o7b2ob5o2bob3o2bobo3b2obo2bobobob3o2bobo4bo3bo$obobob2o4bob7o2bo6bob
o3b2obob2o2bo4b3o3bob2obo$bo4b2o2b2ob2ob3o6bob5obo2b2ob6obobobob5o4b3o
$b3o2b2ob2o2bobo7b2ob2o2b2o8b3ob2o2b2o9b2ob2o$b3ob5ob2ob2ob2o2bo3bobo
b2o2bo2b6o4bob3o2bo4bo3b2o$2ob2o3bo3b4obobo3b5o3b2o2b3ob9obo2bo6bo$b3o
6bo3b2obobo3b3o2bobobob2ob2o2bo2bo2bo6bob3obobo$2bo4b2ob2obob3obo2bo3b
ob2ob3o2bo10bo2bob2o3b4ob2o$4o2bobo2b4o2b3ob3o3b3o2b3o2b2obob3obobob2o
bo2bo2bobobo$3ob2o3b3ob2o4b2o4b5o4b2o2bob2ob4ob2obo2bo3bo$2b2obo5b3o3b
o3b4obo2b2obo5b2ob2o4b2o3bob2o2b2obobo$bo4b3ob3obobobo4b2o5b5o3bo2bob
o2bobo2bobob2obo$3bo6bob5o3bo2b3o2b3ob3ob2ob2o2b2o2bobobob3ob2o4bo$2o
b2o5b2o2bobob3ob4obob3o3b2o2bo3bo2bo4b2obo3b2ob3o$o8b2obobo4b2o4b2ob3o
2bobobo7bobo8b2o4b2o$2b4o4bo4bobo3bobo3b6o5bobob4o2bobob5ob2ob3o$2bo2b
o2b2ob2o4bo2bo3b2ob4obo3bobob2o6bo2bo4bobobobo$b2obo3bo6b2o4bo9b2obo4b
o2bo2b2ob2o2bobo2b4ob2o$8b3o3bo3bo2bo3b4o4b2o3bo2bo2b5ob2ob2obo2b2ob2o
$3b4o2b2ob5o2bo2bo2bob2o2bo5bobo3bo3b4o3b2o3b4o$3o5bobob2o2bobob2ob4o
bobobob2ob2o5b2ob3o3bo3bobo2bo$bobo5b3ob2o7bo3bob2o2b2o4b2obobob2o3b2o
b2ob5o2bo$o5bo2bo2bo2b4obo2b3ob4obobob2obo2b6ob2o3bobo3b4o$obob2o2bob
2ob4obob3ob2o2b3obo2bobo5b2o2b2o3b3obobobob2o$2ob2o3b5o2bo3bo5bo2bo3b
2o8b3o2b6ob4o2b2o$2b2obobobob2obob2obob2o2b6o2bobo2b4o4bobobob2ob2obo
bobo$6b2o4bo5bob3obo3b3obo2bobobo3bo2b4o5bo5b2o$b2obob5ob3o3b4ob4o2b4o
bobobo2b3ob9o4b3o$bob4obo8b3o5bobobo2bo3b2o3b2obo3bobo3bo4bobo$obob3o
b2o3bobo4b2o2bobo3bobo2b3o2b5o2b6o3bob6o$3obo3bobobobo2b3ob2ob2obob2o
2b4ob6o9bobob2o2bo$2bo5b2obob3obo2bob3o4bo7b4o3b3o2bo3bob2o3bobo$3b2o
3bo3b2obo3bo2bobobo7b2o4bo3b5o4b3o2b2obobo$ob2o4bobo2b3obo4b3ob3o2bo4b
obo7b4ob3o2b3o4bo$6o3bo3bob3ob2obo3bob3o2b4ob10obo2bo4b2o$bob2obobobo
b15o3b2ob2ob3obob2o2bobobo2bobobob4o$o3b6obo2b2o6bo2bobob3ob4o3b9o2bo
bo4b3o2bo$o4bobobob3o4b2ob2obobo4b3o2bob2ob4ob2o3bo2bob3ob3o$2o4bo3bo
bobo3b3obo3bob3o3b3obob2obo2bobo2b2o2b3ob3o$bo2bob2ob5ob2ob3obo3b2obo
bob2obobob3ob3ob3obo2bob2obo2bo$3o2bo2bo4bo2b4obo2b2o4bob4o4b3ob2obo6b
5o2b2o$bo3b2o4bob6o3bo2bo3b4o3bo3bo4b2obobob5ob3o$o2b3ob5obo8bobo2bo3b
o4bo4b2o2b3ob2obo3b2o3bobo$2ob3o2b3o2bo2bob2o3b2ob3o5bo3b2obo3b2obo2b
o6bo3b2o$2bo2b2o5b2obob4o4b3o5bo3bo5b2obo7bo2bo3bobo$6b4obo3bobob2ob2o
2b4obo2bobob3ob3obo2bo3b3o2b2obobo$o2b7o2bo2b4obobobo5bobob2o2b2ob2ob
o2bo2bo2bobob2obob2o$bob4o3bobob2o3b2ob4o2b5ob3obo5bob2o4b5obobob2o$b
2ob2o2bobo3bo4b2obo6b3ob2obo2bo7bobo5b4o$o3b2ob5o2b4obo3bob2ob3obob2o
4bob3o2bo2b2ob2ob2obo2b2o$o2b2obobo2b2o3b2obob2ob4ob3ob5obobobo2bobob
4ob2o4b3o$6bo4b5o8bob3ob3ob3obobob2o2bob2ob2ob3o3bo2bo$b4o5bob2ob2obo
3b3obo4bo2b2o4bo2b3ob2o3b2o4b2obobo$o2b6obo3b2ob2obob3obo2bobobo2b2o5b
obo3b2o7b4o$bob2o8bobo2b3o3bo2bobob3ob2o3b2o2bo4bobobo2bo4bo$bo3bobo6b
5o8b3o2bo4bo4b3o2b13o$5b2ob8obob3ob2o4bo5bo2b2o3bo3b2obobob3obob4o$o4b
ob2obob4o2b3obobo2bobobobo5bo3bo3b3o2bob2ob2o$b2obo2b3o2b3obobob6ob4o
2b2ob2ob2o3bo3b4o4bobo3b2o$8o2b2o2b2o3b2ob2ob2ob2o4b5ob2ob2o2bo3b2o6b
ob3o$2o3b2o6b2o3bo2bo5bo4bobob3obo2b2ob2ob2obo2bobobo3bo!
# [[ RANDOMIZE ]]
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Aleph
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Re: counting to 50 with transitions

Post by Aleph »

Thought: What if we were to count all the way to 102? A buildup from nothingness to everything.
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R2INT
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Re: counting to 50 with transitions

Post by R2INT »

Aleph wrote: November 1st, 2026, 11:35 pm Thought: What if we were to count all the way to 102? A buildup from nothingness to everything.
That would be a potentially interesting idea. We would have to travel through explosive rules for a while before settling on the day rules, which operate on the all-live background. Then, it would become the equivalent of removing transitions instead of adding them, until we reach 102 where everything comes alive.

There is also the possibility, if you are careful enough, to travel to the day rules without going through unstable explosions, by the means of self-complementary rules.

In the current state of the rule, it looks like our best bet to get to stability quickly is to add the high survivals (5, 6, 7, 8, leaving D5ai and/or D6ce to preserve inverse expansiveness), and the high births to allow patterns to converge on the day agar.
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