Rules with interesting dynamics

For discussion of other cellular automata.
A for awesome
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Re: Rules with interesting dynamics

Code: Select all

x = 16, y = 9, rule = B2ac3r4cntz5e/S
2ob2o2$obobo2$11b2ob2o2$2bo8bobobo2$2bo!

x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

Re: Rules with interesting dynamics

If I identified the speed correctly, this otherwise unremarkable rule has this small c/9 ship.

Code: Select all

x = 13, y = 14, rule = B2cen3aeny456-ac/S23
5$6b2o$5b3obo$5b2o$8bo$6bo!  toroidalet Posts: 1019 Joined: August 7th, 2016, 1:48 pm Location: my computer Contact: Re: Rules with interesting dynamics Explosion with checkerboard and p2 stable regions (with chaos in both): Code: Select all x = 40, y = 40, rule = B2cn3acjky4cny5e6ac7/S1e2-ae3-i4ci ob2o3bo7bob2obobo3bob4o4bo$2o4b2o2bo2b2o2b3ob5obo5b2o2b3o$ob2obo2b2obo 2bobo3bob2o3bo3bobo5bo$bo3bobo2bo3bob3o4b3ob2ob2o$2bob2obo2b5o2bo5b2o 5bo2b5obo$o3b2ob2obo3b4o2b2ob3o2b4o2bob4o$2b2ob2o2bo3b4o2bo2b4ob2ob4ob 3obo$b16obob4ob4obob3o4bo$5ob3ob2ob2o3bob2obobo2bo5b6o$obob4o2b2obo2bo
3bob2ob2obo4bobo2b2o$5ob6ob2o2b5ob2obo2b2o4b4o$b2obobobo4bo4b4ob3ob2ob
5ob4o$2bob8ob4obob3obo4b3o3bob3o$b2obobobobobo3b2ob2o2b4ob2obo4b2o$b2o 2b2o2b4obob3ob2obobo2bob2obobo3bo$2bob3obo3bo2b3o2bo2b2ob4o4b5o$7o3bo 2bob2o6bo2bob2obo2b2o2bo$bob2o4b3obob2o2bobob4ob5ob2ob2o$2b5o2b5ob2obo 4b2o2b3o2bobo4bo$ob2obob3o4bobob3obo3b3ob5o2bobo$b2ob2o2b4ob2obobo2b2o 4bo3b4o$3ob2o3b6obob3o2bobo4b2obobobo$2b2obo2b2o2b2obobo3bob4obo2b2o3b ob2o$bobo2bobo4b3o3b4obob2obo2b2o3b3o$o2b5o2bo6b3o2bobo4bo2bobo2bobo$b
6ob4o4b3o2b4o5bob2obobobo$bo4bo2bob3obo2b3o2bo3bob2ob2o4bo$4b3ob3obob
3obo2bo2b3o2bobob4o2bo$bobo3b2o2bob3ob4o3b2o2bobob2ob2ob2o$3bobob3obo
3bo2b5obo6b9o$b2obob2obobo2b3o2bobob3ob2ob3ob4obo$b2obobobob2ob2ob2ob
2obo2bobo4b3obo$2ob2o2bo2b2o2b2ob2o3bobob3ob5o$3o3bob2o3b2o2b3o2b4ob3o
3b5o$o2bobobobo3bobob2obob6obob3obo$3o4bo3bo3bo3b2ob2o3b2obobob6o$bob 2o2bobo2bob3o2bobo2bobo3b2o2bo2bobo$2b11obobob2obo3b2o2b2ob2ob2ob2o$o 3bo3b6obo3b4obo2bo2b2o2b2o2b2o$o2b2o4b3o5b7o3bobo3b2ob2obo!

Similar but with snakes and the p2 pattern dominating:

Code: Select all

x = 90, y = 90, rule = B2cn3acjky4cy5e6c7e/S1e2cik3-i4ci
bo6bobo5bo3bo5b3o2b6obobo2b4o3b2ob15o3b2ob3ob2o2bo2bobobo$obo3bobobobo 10bo4b3o2bobo2bo5bobobo3b6o2b4o2b4obobobo2bo4bo2b2o$bobob2obo3bo2bo9b
2obo3b3ob4obo4b3obo2bob3o4bob5obobobob2o3bobob2obo$o3bo2b3o2bo2b4obob 2o2bob2ob2o2b2ob5o3b5ob3ob4obo3bob2o3bobo2b3ob4o2b3o$2b2o2bo2b3ob2o3bo
3bo8b2o2bo2b3o2bo11b5obo3bob2ob2o5bo2bo3bo2bobo$3bobo2bo2b5obob3o2b2ob 2ob2o2bobo3b6ob4ob5ob2o2b4obobo2b2obo2b3o3bob4o$ob2obobo5b3obob2obob5o
3bo2b4obo2b4obo2b2o4b7o2bobob12obobob3o$2b2o2b2ob5obob2ob3o2bo3b6ob6o 10b3ob2obo3b2o5bobobo5bob3ob4o$5o2b2ob2o3b2o4b2o2bobo3bo4b2o2bobo3bobo
b2o4b2o5bo2bob3obo2bob4obo6bo$o4b2obob2o8b3o3bo4bo3b2ob2o3b4obobo4bob 2obo4bo3b2ob2obo2b5o2b3o$2b2obo2bo2b2obo4bo3bob2ob3o6bo2bobo3bo3bo3bo
2bobo2bo2bobo2b2obobo4b3ob2o3bo$bo3bob2obo4bobo3bo3bobo4bob2ob3o3bob2o 3b3o2b2ob4o4bob2obob9o2b4obo$3b4o3bo3bo2b3obo7bob6ob2obo2bo3b2o2b2ob6o
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obobo3bo4bo2bobo6b6obob3o$obo6bobo2bobo2bob2obob2o3b2ob2o3b4ob5ob3obob 3ob3ob3obo3bob6ob2obobob2o$2o4bobo4b2obo4b3o3bob2o2bob5obob2o2bo4b2o2b
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2b2obo2b2o2b2obobo3b5o$3b4o4b3ob2o3b3o2bo2b2obobob2o3b2ob3obo3bo3bob2o b5obob3ob4o8b2o$b5o4b3ob4o6b2o4bo4b2o4bob2o5b6obo2b2o2b2o2bobobob5ob3o
b2o2bo$2ob2ob4ob2o3b2o2b3o3b2o2bo3b7ob3o2bob2o4bo2bob2o3bo7bobo2b2ob2o bob3o$4bobobobo3b3ob3obobobo3b2obo3b2obo2b2o5bo2b4obo2b2o3bo4b5o2b2o3b
obob3o$3b4ob2obo3bobo2bobob2o11b2obob4o2b2obo3b2ob6ob2obo2b4obobo2b2o 4bobo$o2b3o4bo4bo3bob6o2bobobobo3b2ob3o5b4obo4b2obob2o3bobob2obobob7o$o2b2ob2ob8obobo5b12o2b2ob4obo3bob2ob11ob2obob6obo2b3o$o2bob3o2bo5bob3o
3b2o2bobob3ob2ob4o2bo3b3ob2o7bob2o3b3o2bob2obo3bo4bo$o2bo2bo3bo5bo8b8o 2b2o4bo2bob2obo2bobobobo2bo3b2o2b2obo2b2o5bo3bo2bo$4o2b3o2b5o2b8ob2o3b
o2b3o2bobob2o6bob4ob2o5b2ob2o4b4ob3ob2o2b2o$obobob2ob2o2bobo2b3obo2bo 8bo2bo2b2o2bo2b2o3bob2o4bo3b4obobobo5bobobo3bobo$ob2obobob2obobob2o2b
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3b2obobo2b4obo2b2ob10o6b6o2b2o2b3o$2bob2o6bob2o5b2o3bo3b2ob4o4b2obo5bo 2bo2b2ob3ob2obo2bobobobobo2b3obob2obo$2b2ob2o2b3o7b2obobob2o2b3obobobo
2b2o2bobo3b5ob3ob2obo2b2obo4b4o4bobo3bo$o4bobo4bo3bo2bo2bo7bobob4obobo b5o4bo4bob5o6bobo4bob2o2bob3obo$b4o5b4ob2obo2bobo4b2obo6bob3o4b2o2bo2b
4o2bobo8bo4bo5bobob3o$bob3ob2ob2ob2o4bob2o2bo2bobob4obo2bo2b4ob3o2bo2b o4bob3obo2bo5b4ob3ob4o$b4ob3o2bob3o2b3ob2ob6o2b2o2b2o2b5ob2obob2obob5o
bobobo2bob2obobo3bobobo3bo$bo2b2o6b4ob2obo2b3ob4ob2o4b2obob4obob4o5b3o 3bobo3b2o3b2ob2o3b2obobo$bobob3o2bobo2bo3b2obobob3ob3ob2o2b2ob2ob2obo
3b3ob3o2bob5obob3o2bo5b5o2bo$4b2obo2bobob2obo3bobo2bo3b3obob2o2b5obob 3ob4ob6ob3ob3obobo4b2o3b6o$4obob4o2bo6bobo2bob2ob2o3bo2b3o2b6o3b4ob3o
2b2o2bo2b2o3b2obo5b3o2b2o$ob2o6bob2o2bobob3ob3o2b2o2bobo4bo5b2ob5o5bo 3b2ob2obob3o7b2obob2o$2b2obo5bo3bobobob2obob2o2b4ob2o5bob2ob5o5b3o5bob
2obo3b2ob2o5bob2obo$o2b4obo3b5o2b2obo4bo2bobo3b4obo3bo4b7o2b2ob4o2b9ob obob2obob2o$o2bob2obob6obob6o3bob5o2b4obo5b3o6bob2obobobo3b2o2b2ob2o3b
2obob3o$2bo2bobo2bobobob4o2bobo2b4ob4ob2o3bo4b2ob2ob2o3b2obob2o6b2o2b 2o2bo3bob4o$5bob2ob3obob3obo3bo4b2obobobo6bobobobo4b2ob2obob2o4b7ob2ob
o3bo3bobo$b2obo2bo2bo2b2o2bo2b4ob2o2b3ob2obo6bo4b5obobob2o3bobob2ob4ob o2b2o3b2ob2obo$b2ob10obo2b4obob2ob4o2bo5b2o2b4o2bob3o2b2o2b2o2b5ob2obo
b2ob2o2b2o$o4bob2o3bo2bo5b2o2bo2b5o4bo3b2obobo3bo2b8ob2ob2o5b4ob3o2bo 2b3o$2obobob4ob2o5b2obobo3b3o2b3o2b2o2b2ob5obo8b2ob2ob2obob2obo2b2ob4o
b2o$o2bo7b4obo3b2o3bo2b3obob3ob4o3b2o2bobo2bob2obo2bo2b5obob2o2bo5b3o 2bo$3ob7obob2obob2o4b2ob6o6bob5o4b3obo2b2o3b2o2bob4ob3o6bo3bo$8b3ob2ob o4b2obo2b3ob4obo2b2ob2o5bo2bobobo2bo3b4o2bo2bo2bo3b2o5b2o!  And farther along the spectrum we get eruptive snakes: Code: Select all x = 90, y = 90, rule = B2c3acjky4cy5e6c7e/S1e2-ae3-i4ci o3bobo10bobobob2obo4bo4b2o6bo5bo2b2o2bo3b2ob2obobo2bo4bob2o4b2obo$o3b
4o3b4o4bo2bo2bob2obob2o4b5o2bo3bo2bo2bob2o2b2o3bobo4bobob4obo$o5bo2b6o 3b2o2bob2obo2b2o3bobobo2bobobo2b2obob4obob3o5b3o6b8obobo$3o4bo4bob2ob
4o2bob2o6b3o2bo7bo2b4o2bo2b2ob2obobobobo3bo2b2o3bobo$b2obo2b2o3b2ob6ob obobo2b2obo2bo2b6obo2bobo5b2o2bob4o6b2ob2ob3o2bo3b3o$o4b2ob4o2b3o2bo4b
o2b6obo2b3ob3ob2o4bobobo4b2o2b4o2b2obob2o3bo2b3o2bo$bob2o4b3o2b5o2bo2b 3o4b2ob2obobo6bobo2bobob2ob3o2bob3o2b2o4bobo4bobobo$o2bob3ob5ob3o2bo3b
4o6bo3bobo2bo3b4obob5o3b2o5b4o2b2obob2ob5obo$3bo2b2ob2o2b2o2bob5ob2o3b 2o3bob2o3bob2obob5obob3o2b2o6b2ob2obob2ob2obob2o$o2bo4bo9b2obo2b3ob4ob
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2o2b2o2b3ob3o2b4o3bob4ob3obo3bo2b4ob2obo3bo2bob4o$2bobo4b7ob2ob2obo2bo 2bo3b3obo4bo5b2ob2ob3obo2b4ob3o2bo4b2o3bo4b2obo$bob2obo4bo2bo2b6o2b2o
3bob4o3bobobobobob2o4b2o4bobo3bo3b4o2b3o2b3o2b2o$obo2b3o2bo6b2ob6obobo b3o2bob3ob2obo9b3o3b2obob3ob2o3bo3bo2bo4bo$o3b4ob4ob2obo2bo2b3o2b3obob
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4bo2bo2bobo2b3o2bo3b4o2bob3o$bob3ob3o3bo2b2o6bo2bob2o3b2o2bo3bo3b2ob3o 4b3obobo2b2ob3o4bobo2bobob2obo$bo3b2obo2b3o3bo2b2o2b3o2bobo2bobo3bo2b
2obob3ob3o4b2o2bobo2bo2bo3bob2o3bo6bo$o5b2ob2o7bobob4o2bo2b3o5bo3bob7o 4b3o4b5ob2o3b4obob3ob5o$bob2obo4bo2b3ob3o3bob3o2bobo10b3o3b2ob3o2b7ob
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ob2o4bobob6o3bo2b3ob2obobobo$o2b3obobob3ob2o6bo2bo3b3o3b2o3bo4bob2o2bo 2b4o2bo2bob2o6bob2ob2o4bo$bo3bo2b3ob2obob2ob2o2bob3o4b5o8b6ob2ob3obo2b
o2b2ob3ob3obob5obo3bo$2o2b2ob3o2b2ob4o2b2ob2obo2b2obo2bo3b2ob3ob2obob 3o6b2o3b2o2b4ob2ob2ob3obo3bo$3obobo3b6ob5ob3o4b4o2b5o2b2o2bobobobo3b2o
10b4o3bob5o2b4o$o3bo2b2o3bo4b2o2b2o2b2obo3bo2bo3b4ob3o6bobo4bo2b3obobo bobo2b2obo4bo$2bo3b5obo3b2o4bo2b2obob4obo3bob2o2bob3o3bo2b3obob4o4b2o
2bo4b2o3bobo$bobob2o3b2obobo6bob2o3b4o4b6o4bob2o2b2obo2bobob2obobob4ob 2ob2o3bob2o2bo$bo2bo3b4o2b3ob3o6b2ob2o2b4o2b2o5b3o3b4obo2b3obob2ob5obo
3bo3b3ob2o$2o3b2o5b2o3b5o4bobob3ob4o2b2o4b2o2bob2o2b4o4bo2bo9bob2obo5b 2o$2bo5bob3ob2o2b6ob5o2b2o4b2ob2o2bo2b2o5bob2o3b2o4bo3b2o2b3o3b2ob2obo
$2o2bo4b3o3b2o4bobobo2bobo5b2o2b2o2bo3bob5o5bob3o5b2o3bo2b2o2bo2b5o$3o
bobo2b3o4bo2bobob3o12b4obobob2o2b2o5b2obo4bob4obob7ob4o2bo$3obo3b2ob5o bob2o2bob2o3b2obo2b3o4bo3b4o3b3obobo5b4ob5obo2bo2b7o$b2ob2obob2ob2obob
4o3b2obo8b5ob2obo2b8obob2o3b2ob4o3b2ob2obo3b6o$5o2b2obo2b4ob2obob2o4b 3ob2ob3o2b4obob3o3b2o2b5obob3ob2ob3o4b2o2b4obo$3bobobo2b2o3b3o6bo3bob
2ob2ob2o2bo2b3o3b2obo3bo2bobob6o8bob5o2b2obo$3o4bo2b2ob4o2bobobob2ob4o 3b4o2bo3bob3obo4bobo2b3obo3b3obobob6obobobo$o3bo3bo2bobo2b2o7b2o4b2o2b
o3b3obob4ob2obobob2obobo2b2o2b3ob2ob3ob2obo5bo$b6ob3o2b4o4b2o4bobo2bo 2b3o3b5obobo2b5o2bob2o2b2o2b2obo2bob7ob4o$2b2ob2obo2bo4bobob2o2b2obob
3o4b2o4bobo2bobob2o3bo2bo3b2obob2o5bob3ob2obo2b3o$o4b7o3bobo2bobo3b4ob obob2o5bo4b3ob2o3bob2obo5bob4obobo2b3o3bo3bo$2ob3obo2bob2obob2obob2ob
2o8bobobobo4b11o5bo2bobo6b3o5b2ob2o2bo$2o2b2o3b2o2b2o5b3ob2ob2o2b2ob3o bob2o3bobob2o2b4obo3bob5o3bo3b9obo$6obobo2b2o5b3obo2bo2b3o3bob4ob2o2b
6obo5b4o2bo3b3o2b2o2b3o4b5o$bobo3b3ob4ob4obobo2b2o2bobo5bo3bo2b2ob2o3b 2ob2o4b2o2b3ob2obobobob4obo2bobo$2obob2ob3o2bob2ob2ob3ob2o2bo3bo5bob2o
2b3obo2b4o2bo2b2ob2o8b3obob2obob3o$2o2bo2bo4b2obob2o2bob8o3b3o2bo5b2ob o5bo3b2obo2bob3o2bo2b5o2bob5o$bo4bo2bo3bo2bob2o2b2o2bob4o2bo2bob7o2bob
2o4b5obobobo7bob2ob3ob2o3bo$b5obobo2b3obob2o2bo4bobo3bo2bob4obobobob7o 2b2o2b2o4bob5o3b2ob5obo$b2obobo3b2o3bo2b3ob9o2b3o6bo4b2o3bo4bob4o2bo8b
ob2obo3bo2bob2o$2bobob2o2b3o4b3o2bobobobobo3bo2b2obo4b3obo4bob2ob3ob2o bob4o2bob7ob3o$o2bobob2ob2o3bob2o4bo2b4o5bo2bo2b6o2bo4bobo2bo9b2obobo
3bob6obo$2obo2b2obobob4ob3ob3obo5b6ob2o3bo2bobo5b2ob2ob3ob3o3b3obo3bo 2b4o2bo$o5b2obo5bob2o4b7obobo6b3obob2ob4obob3o4b3obob2o3b4ob3obobo$3bo b2obo2b6o2b6o2bobobob5o2bo3b7o3b3o2b2o2b2ob2ob5o3b2o4bob5o$ob2ob3o2bob
ob4o2b3obo6b5obob2o2b3o3b2ob2o2b3o5bo3b3ob4o2b2o2bo2bobo$o2bo3b4obo2b 4o3bo4bo2b2o2bo2b6o2bo4b2o5b2ob2o3b2o3b2o7b2o4bob2o$ob2o5b5o3b2ob2o2b
2obo2b2o2bo5b3o4b3ob2obob5o2bo4bo2bo3b2ob6obob3o$b3o7b2ob3obobo8bobobo b3obob3o2bobobo2bo5bo3bo2bob2ob2o4bo4b3o3bo$o3b2o4b2o3bo3bo4b2o2bo9bob
4obobob3o4b2ob3o2b2ob4obobo2bobo2b2o3bo$3b3o3b2obob2ob2obobob2obo3b5ob 2obo2bo4b2o2bo2b2obo3b2obo2bobob3o2bobo7b2o$bobobobo4b2ob4o2bobo2b3o2b
4o2bo4bobo3bo2b3obobobobob3o4bo4bob2o2bo3bobobo$2o6b3obobo3bob2obobob 2o2bobo3b4ob2obo7bob4o2bo2b2ob2ob2o2bo2bo2bobobo2b2o$3b2o3b2obob2ob4o
3bo2bo2b5o2b2o3bob3o3b4o2bo2b7o3b2obo2b4o2bo2b5o$bo2b2o4bo4bo2b2o3bo3b 2obob2o4bobob3o2b3o4bobo3b2ob3o2b3o2bob2obo5b3obo$3ob6o2bob3ob2ob5o4b
2obo2b4o2bobo2bo2bo5b4o3bob4obob5o4b4o2bo$o2b8ob4o3bob3ob2o2b2ob4o2b2o bobo3bob2ob2ob2ob4obobobo4bob4o2b3o2bo$b3o4b3ob2ob7o2bobo2bo2b3ob3obo
7b2o2bob3o4bo2bobo4bob2obo3bo2b3o2bo$obob3obob2o3bo4b3ob2o2bobob2o2b2o bob4o2bobobo2b2obo2bob3obob2obo3b2obob2o5b2o$2obo2b2o2bobo2b2o2bo2b4o
6b2obo2b3obobo2b2o2b2o8b5ob3o2b4o2b2obobo4bo$3o2b5o2b5ob2o2bob2o2b2o3b 2obobo2b4obobo2b4o2bo2bo2b2o2b2ob2ob4ob3obobo2bobo$2ob2ob3o3b2o3b3o2b
3o2b3o2b5o9bob6obobob3obo4b2o3bob3o3b7obo$ob2o4b2obo5b2o2b4o4b4o3b2o7b obo6b2o2b2o2bobob2ob2obob4obo2b2obobo$bo2bob2o2b10o4bob2o3b2obob2o2b3o
b3obob3obobobobo6bob5obobobo4bo3b2o!

(These rules are getting stabler so to show chaotic dynamics the soups need to get bigger)
EDIT:
This rule can make "spliced" snakes:

Code: Select all

x = 181, y = 146, rule = B2c3acjky4cy5e6c7e/S1e2ikn3-i4ciy
obobo3bo2bob2ob4o2bo5b5o2bobo2bob5obo4b2ob2obob2obo2b3ob2obobo2bobo2b
2obo2bo9b3ob3o4b3o5b2o4b3o2bobob2obobo2b7o2bobo2bo3b3o3bobo3bo4bo2bo$2o5b6ob7obo4bo5bobo2bo3bobo2bob3ob6obobob2obo2b2obob3o2bob4obo2b2ob2o 2bo4b2o3bo3bo3b2obobo2b3obo3bobo2b4ob2obo3b2o3b2o4b2obob3o4b4ob5o$2o7b
2o4b4obobobo3bob2o2b7ob4o2b2o2b2o2b3obob3ob3o6b5obo4b2ob3o3b3ob2o5bo2b
o2b2obo5b2obob4o2b5o3bob3o4b2o2bob2ob2o2b4o2bob2obob2ob2o$o2bo2bobob5o 3bo2bob4o2b6ob2o2bo5b2o3bob2o2bobo4b2o5b2obo2bobo2b3o2bo2b3obo3b3ob2o 2b2o5b2ob6ob2obobo5b2obo2b7ob2obob3o3b4o2b3obo2b3o4b2o$2ob2o2b3ob2o4b
2o3bob5o3b2obobob3ob5ob2ob4o4b2ob4o2bob2ob2o4bo5b5ob2o2bob3obob3o4bobo
bo5bob2obo2bobo3b2o2bobob2o3bo5b4o2bo2b3obobo3bo3b4o$2bo2bo3bobo2b3o2b ob3obob2obob3ob2obo4bo4bobob2o3bo3bo2b3o3bob3ob2o4bob2o3bobo2bob2obo3b 3ob2ob2ob2o2b3o2bo2b2ob4o3b3ob4o2b2obo3b5ob5ob3o2b2ob2ob4o$bobobo2b2o
2bo2b2ob2o3bob2ob4obob7ob2o2b2o4bobob2o2b3ob5obo2bobo2bobobob6ob3o2bob
o4b6ob3ob4ob2ob2obo2bobob2obo4bo3bobo3b3o3b5ob2ob9o5bo$2ob3o5bo3b3o2bo 2bob3o2bo3b2obo3b2o2bob2o3bo2bo3b2o2b3ob2o3b2obo8b2o2b2obo2b4o2b2o2b4o bob2ob3o3b3obob3o2bobo3bo3b2ob4o3bo3b9o2b2o5bo2b2o2bo$3o6bob2o3b5o2b2o
bo2bo3b4o2b4o3b4ob3o2bo2b3o2bo2bo4bobobob5ob2ob2obo2bobo2bo2bobo2bobob
o4b2o4b4o2bo7b4obobob2o2bo2bob5o2b2o2bobo2b2o3b2ob4o$2o3b2o3b2o3b8o4b 4obo2bob2o2bo2bo4b3obo2b2o2b2ob4o2b2o2b2o2bob2o2b2o2bob2o3b3o5bo3b4o9b 2o2b2obobobobobobob3o3bobo2b6o3b2o2bo4b2o2b2o3b3o$2ob6obo2b5o2b2ob2o4b
2o2bobo4b4obo2bo3bob2o3b4o2bo3b2obo4b2o2b2obob11obo3bo2b2o2b3ob2o3b2ob
2o5b2ob3o2b2obobo2bo2b3o5b2ob2ob2ob3ob2o2bo4bo$ob2o4bobobo3bobo7bob2ob 2o2bo2bo3b3obobo3bob5o2b4obob3ob5o5b6obo4b2ob2o4b4o3b6obo2bob2ob3o4b2o b4o4bob2obo3bo2bo2bob3o4b2obobo2bob3o$2bo4b3o2bob2ob2ob3ob4obobo2bo2bo
4bob3o2b3o2bo2bob9o3b3o2b2o4b3o2b2ob3o2bo3bo2b4o5bob2obob2ob4o2bobo3b
2ob2o2bob7obob4o2bobob2obo3b4ob2o3bo$b3o4bobo5bobobob2obo2b4obob2ob3ob 3o2b2o2bob5obob2o3b2obob3obo2b3o2bobob2o3bobobob6o2b2ob3obobob2o2bo3bo 2b2obobo2b5ob3obo2b2o5bo2bo2b3o4b2o4b2obobo$b3ob3o4bo2b2ob2o2bo2b2o3b
5o4bo2b6ob3ob3obobob3obob2obob3o6bob3ob2o3b3o2b3o2bo4b2o2bob2ob7o7b3o
5bobob3ob3o4bo9bobo2b2ob3o4bo$o5b2o2b2o3b2o3bo5b2ob2o3bo2bo2bo3bobo2b 2ob4o2b2o3bobob7o4b2ob2o4bo3bobob2o4bob3o5bo2bo6bo4bob2obo3bobo2bob7ob o4bob2o2b3ob3obo2b2o2b4o$o9b5obob2o3bo2b4o2b2o3b2ob3o2b3o2bo2b2obo2b4o
3bo3b3o3bob2obo2b2o4bob2o2bobobo2b4o10bob3o3b3ob2obobo2b2obob2ob2ob5ob
3o2b2ob2o2b2o2bob2obo2b3o$5o4bobo2b2o6b4ob2obo2b4ob3ob2o2b3ob2o6b4obo 2bobob3obob5o3bo2bob2ob2o3bob4o2bobob5o3b9obo4b5ob3ob3obo2bo2b2o2bobob 3o2b4o2bobo2b2ob2o$obo2bo2bo4bob4o2b6ob2obo4b4ob4obob4o2bob2o2bobo4bo
5b3obo6b2o2bob2obob3ob3o2b4o2bo4bobob2o2bo3b2o2b2obob3obo2bobo2bo2b3o
5bo2b2o2bo4b2ob2obo2bo$obobo4b5o2b2obob3o3bo3b2o2bo2b2obo2b3ob2ob2o3bo 8bo2bo2bo4bob2obo5bobob2o3b3ob2obo2b2o4b3obob2o3bo2bobobo2bobo3b2o3b2o 3bo2bo2bob4o4bob6obobo$o4b2o3bob4o2b4obobo7bobob2o2b2obobobo5b3obo3bo
6b2o3b2o3bobob3o2b4ob3ob3obob2o2b3ob2o2bob2ob3o5bobo3bobob3ob2ob4o3bob
ob4ob2ob3obobo3bobob3o$o6bo5b6ob2ob4ob4obob2o3b2ob3ob4o2b3o2bo5b2o5b3o 2b5ob2ob3o2b2o2bobo3bo3bo2bo2bob2obobo2bo4b5o2bo2b2obo2b4ob4obob2o5bob obob4o3b2o3bobo$obo2b3ob2o2bo2b3obobobob4o3b2o2bobo3bo2b4o3b2o3bo3b3ob
o2bo3bob3obo2bob2obo2bo2bob3o2bobo2bobob2obob3ob2ob5o3b2obo2bo3bob2o5b
o3b10ob2obobob2ob2obo3bo$o3bob2obo2b6o4b2ob6obo3bobo3b3o2b2obo2b2obobo b2obobob2ob2o2b3obobob5o3b3ob3o2b2ob2o3b2o2bobo2bob2o2b2ob2o2b3obo3b2o bobo3b2o2bobo4bo5bobo3b2o3b2ob2obo$ob2o2bob2ob3ob3ob6obob5obo3b3o8bo2b
o2b3ob2o2b4ob3obob4ob3o2bob3o3bob3o4b3o3bo2bo3b9o3bo5bo3bob4ob2o5b2o3b
o3b2obob2ob5ob2obo2b2o$4b3ob4o3b5o2bob3ob2ob3o2b2obobo3b3o5b7o11bo2b3o b2ob2o4bob2obobobobo2b2ob2obo4b3obo2bob3o3bob3o3bobo2b2obob2o3bob4ob2o b4ob3o4b2o2bo3bo$2bob4o4bo2bobo2b2o3bob3o5b2obob2o2b2o3bo2bobo2bo2b2ob
o4bo2b2o4b3o6bob2o2bob3obo2b2ob2obobo3bo3bo2b2obobob2o3bo2b3obobob2obo
bo2b3obobo2bo3bo3b6ob2o$bob8o4bob5ob2o2b2obobo3b4ob6o2b4o3b2obobobo5b 2ob2obo2bo2bo5b2ob7o4b3o3b2o2b2o2b2o2b2o2b3o2bo5bobobo3bob4o4bob2o3b2o 2b5ob4o5bobo$5bobobo3bob4o3b3o2b4o2b2o5bo2bobobo5b2ob2o2bo3b6ob2o2bo3b
5obo2b2obo3b2obo2b4o3bobobobo2bo4bob2obo2bob2o3b2o6bo2bob2o3bobobo4b2o
bobob4obo2b2o$bobob2o2b2ob5o2bobob7ob2o4bo4b3ob3o3b3o2bo2b2obo3b2o2bob o4bob2o3bob3obo2b4ob2o2bobobob2o2b2ob2obob2obobo2bob3o2bob11o3bobo2b7o 7b4o2bob2o$2ob4ob8obo3b2obob3obob4o2bo2bo6bob3o2b3ob2o2b2o2b2o2b9ob3o
2bob2ob3o3bo3bobo2b3obo2bo3bob5ob3o2b3ob2o4b2ob2obob2ob2o2b2o3b3o2bo2b
3o2bobobobo$2b3o2b5o3bo2b2o2bo2bo3bo2bo2b4ob2ob2ob6o2b3obo2b2obob2ob2o 3bob3ob5o2b3o2bo2b5obo2bobo2b3o2bobo2b2o2b2o2bob4o2bob4o2b2o2bobo2bo5b ob3o4b4o3b3obo$b2o3b4o3bob2ob3obo3b4ob2obob4o3bob4o2b3ob5o5bobobob2obo
4b2o3bo3bob4o3b4o2b2ob2o2b2o3bobobo4b5obo2bob2obobo2b2ob2o5b2ob2o2b4ob
4ob3o3bobo$b3o2bobob2o3b2ob2o4b4obobo2b2o2b2o2bob2obob2o3bo2bo5bob2o2b 3o4b2ob3ob4ob3ob2o2b3ob6o3bob2o2bo3b2ob6o2b5ob3o2b4o4b2ob2obobo3b3o4b 2ob2ob2o2b2o$2bo2bo2b2ob2ob4obo2b2obob3obobob3obo4b2o3bob2ob3obo4b3ob
4o2bobo2b4obobo2b3o2bo5bobobobobo2b2o2b3o5bo3b3o3bobo3bobo3b3o7b4o2bob
o2bo4b2o2b3o$o6b2o2bo2b5obob6o2b3o2b3o3bobo5b5obobobobo4b2obob3o2bob5o b2obo3b2obobo2b3ob2o2b2o2bo3b2obo3bobo3b2o2bob2ob2ob5o2b2o2b5o4b4o7b6o$bo6bo3b2obo3b5ob4ob2o3bobo2bo3bo5bob3o2b7obobobo3bobo4bob3o2bo2b3o9bo
2b5obo2bo2bo6bob6ob4ob7o5bobobob3o3b3o3b3o2b3o3bo$3b5o3b2obob2o3bo2bo 2bo4bobo6b2o3b4o3bobo3b4ob2o2bob2ob3o2bo4b2o2bobobo4bo2bobobo2bobobo2b 2obo2bo2bobo4bo4b3ob2ob2ob4ob2o2b2ob2obo3b2ob2ob5ob6o$ob4ob2ob2obob11o
bo2b5o4b7o4b2obob2o2b3ob5obo2bo2bobo2bo2b3o2bo2bo2bo2bob2ob2obo5bo3bo
2bob4o2b2obobobob3obo2b3o6bobo3b4o2bo3b2obobo2b2o2b2o$4bo4b2o2bo5b3o5b 4obobo9bobob2ob3o3b3ob3obobobo2b4obobo2b3o2b2o4bob4obobo2b3o3b2o3bo2b 2obo3b3obobo10bo2bo2b3o2bo4bob2obob4ob8obo$o4bo3b2ob3o4b2obo3b5ob2o3bo
bobo2b2ob3o4bobo4b2ob2ob8obobob2o4b2o2b2o5bob2o2b3o6bobo3b2o3bob3o3b3o
5b2ob3obo2bo4bobobobob3ob2obo2bo6bo$b2o4bob2ob4ob2obobo2b3obobob2obo3b o3b2ob3ob4ob2obo3b5obo2bobob2ob3obob2o3bo5bob2o2bo3bo3bo7b2o6bobobo2bo bo2b3obobobo13b2ob2o2b3o2b2obo2b2o$bo2bo4b3obob2ob2o3bobo2b4o4bo2bob2o
2bo5b2obobobo2bob2ob2o2b2obo2b2o4bo4bo3bob3obo3b2ob3ob2ob2o2bo6bobo3b
2ob2o2b6ob2obo2bobob2ob2obo2b4o4bobo2b2obo2bo$bo4bo2bo3b2obob6ob2ob2ob 3obo2bo3bobobo2b2obob2ob2obob2obo3bob6obo3b5ob2obo3b4o5b6obo2bo4b2obo 2b4obo4b3o2b5o6bob5ob2o2b5o2b3obobobo$3obob4o3bo3b2o2bo3b3obo3b2obo5b
4o2bob5ob2o2bob2ob3o2b2o4bob3obo2bo3b2ob2obo5b2ob2o2b2obo2bobo2b3ob2o
2b3o2b2ob5o5b3o2b2o2bob2obob3o2bo2bobobob2o3bo$2b6obo3bo2b3ob4obob2o2b 3ob3ob5o4bo3bobo5b5ob3o2bobobo2b2ob5obob3obobo2b2o2b4obo11b3o2bo4bobo 5b4o2b3ob2o3b2o6b3ob3ob3o3b3o3bo$bob2ob4o5b2o5bob3ob4o2bo2bo2b3obob2ob
o8b3o4bobo3b2o2bob4o2b3o2b2ob5obo4bobo2b2o2bobobo2bob2obo2b2obo2bo4b2o
3bo2b2ob2o3b2ob2o3bo2b3o3bo2bo4b2o$3bo2b2o2bobob2o2bob2o2b2o2bob2ob4o 2bobo2b2o2bo2bo3bo4b2ob3ob2o2bo5b2o4b2o3bobo2bo6bo2b6ob2obob2o3b2o4bo 4bobobo5b2obobo2bob2o3bobobobo3bo3bo3b4obo$2o2bob4obob4ob2o4bo2b2ob2ob
2ob2ob2ob5ob3o2b2obobob5o2bobo2bobo2bob5o2bobo2bob3o6bo2b2o3b2o2b4o2bo
4bobo2bob2o2b2o3b4o2b2ob2o4bobo3b3o4b2ob2o4bo$2bo3b3o4b4obo3bob4ob2o2b 6ob4o4b2o2b2obob2ob3o3bob2obo4bobo3b2o2bo3b2ob3o2bob5o2bo3b4ob4o2b3o2b obo2bobo2b5o3b3ob4o3b2o2bo2bob3o2bob6o$b3obo2b2o2b5o3bo2b2ob5o2b2obo2b
o2bob2ob2o6b2o2b3ob4obo3bobobo3bo2b3o3bob2ob2o4b2o2b3obo2bobobo2b2obob
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7b2obob2obobo3b2o4b2ob3ob3o2bo2b2o2b2o4b7obob2obo2b3obo3bo2b2o4bo5bobo
b2obo$b2o2bo3b2obo4b5ob4o3b2o2bo2b2ob2obobob6o2b2o2bobo3b2obo6b3ob2obo 2b5ob2ob3ob2obo2b5o2bobo3bo3b2o3b3o2bo3b2ob2o3bobo2bo2b2o2bo2bo2bobo3b o2bo2b2obo3bo$2b3ob2o2bo2bobo3b3obobobobobo5bobob2o3b3o2b2o2bob3obobob
2o2bobobobo3bobobob4ob2ob4ob2o6b2o4bo2bo3bob5ob2ob2obo2b2o3bo2b4obob3o
b2obo5bo4b3obo4bobo$bo2bo2b5obo4b2ob3o2bo2b3o2bo2bo5bob5obo2bo6bob2obo 2bob3o2bobob2o3bo5b4ob4obo4b2o2bo2b2ob2obobob3o2b2o3bob2o4b3obob2ob3ob 3obob2o5b2obobo2bo2b2o$bobo2b2ob2obo2bo5bo2b2obob2obo2b6o7bob5o5bo4b3o
2bo3bo5bo2b3o2b2ob3o2bobob9ob3o3b3o3b2obo2bo2bob6ob3o2b2o3b3o2bo3bob4o
3bobobobobobo$2o6b3obobo4b3o3bob12o2bob6ob2ob3ob2ob3o2b2o2bo2bo4b3o2b 2o3b4o2bobob4o3b3o2bo2bobobob2obob3o2bob2o5bo3bobob4obobo2bob3o3b3o2b 2ob2o2bo2b2o$o2b3o4bo6b2ob2obo4b5obo7b4ob4ob3ob3o2b2o2bo5b3ob2obo2bobo
2bob2ob2o3bobo2bo6bo2bo4bob2ob2ob2o5b2ob3o2b2obo2bo2bo5b2obob2o5b5obob
o$b4obobob3o3bobobo2bo2bobo4bobo2bo2b4o2bobobo4b4obo2bob3obobo2b2o2bo 2b5ob3ob2o2bobo2bo7bo2bo2b2o4b3obo2bo2b3obob4obobo5bo2b2o2bo4b2o2b6o5b ob2o$ob4o3b2o2bo2bo2bob10ob2ob2ob3o2bobobob2o3b4obobo3b2o4b2o2bob8obob
obobobo5bobob7o2b3ob2o2b2ob2o9b2obob2obob5obobobobo2bo4b2o2bob5obobo$o 2b3obob4o3bo3bob2obob2o2bobo2bo3b2ob4obo3b4o2b2ob3o2bo8b2o3b2obo6bo3b 5o3bob2obob6ob3o6b3obob4o2bob2ob2o2b2o3b2o4bo2b2o4bob3o3bo3bobo!  (technically the extra branches are just crystallographic defects that are affected by the snakes) A different rule family generates giant "castles": Code: Select all x = 4, y = 3, rule = B2cei3ceqry4ert5e6c/S01c2i3cinry4cnty5aey6i7e8 o$3bo$o!  "Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life." -Terry Pratchett gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm Re: Rules with interesting dynamics Code: Select all x = 32, y = 16, rule = B2c3ajnr4rt5a6ae7/S1c5678 30obo$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o$32o!
EDIT:

Code: Select all

x = 16, y = 16, rule = B2-a3-ai4-an5678/S1e2a5678
2obobob2ob2o2b2o$3obo2bo$obob6o3b2o$bo3bobo2b6o$5b2obob2o3bo$ob2o3bobo 2b4o$bo3bobob6o$2bo2bo2b4ob3o$4bo2b2ob2obobo$2o2b2o2bo2bo$obob2obo2bob
2o$b2ob2ob4o4bo$4bo2bobobob2o$o4b6ob3o$2ob2ob3o3b4o$4b2o6bob2o! jimmyChen2013 Posts: 133 Joined: December 11th, 2017, 3:28 am Re: Rules with interesting dynamics B34ce5ce6ce7/S2ace34ce5ce6ce7 a rule where gliders tend to be spawn in pairs, probably because of this reaction: Code: Select all x = 7, y = 4, rule = B34ce5ce6ce7/S2ace34ce5ce6ce7 5b2o$2o3b2o$b2o$o!

Failed Replicator!

Code: Select all

x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo$obo$bobo$2bo!  (That I wish was not failed D:) KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics Generations 23/345/4 contains a natural 9-cell 3x3 spacefiller that can repair internal damage to itself. vyznev Posts: 27 Joined: April 23rd, 2016, 4:08 am Re: Rules with interesting dynamics KittyTac wrote:Generations 23/345/4 contains a natural 9-cell 3x3 spacefiller that can repair internal damage to itself. Nice. A tub will spawn it: Code: Select all x = 3, y = 3, rule = 23/345/4 .A$A.A$.A! I wonder if something like this could exist in GoL. We've got lightspeed wave agars like this, and a spacefiller generating them doesn't seem entirely out of the question, but the waves are a lot more fragile than in your rule: Code: Select all x = 17, y = 20, rule = 23/3:T20,20 o4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o
3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4b o$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o$o 4bo4bo4bo$2o3b2o3b2o3b2o$o4bo4bo4bo$2o3b2o3b2o3b2o!
Presumably that's because the refractory state(s) in Generations make it much harder for disturbances to travel upstream against the wavefronts. I suspect one might be able to make something that looked similar in GoL, but it would probably blow up at the slightest disturbance.
Last edited by vyznev on January 29th, 2018, 10:48 pm, edited 1 time in total.

Posts: 1906
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: Rules with interesting dynamics

Not quite possible with current Life technology, at least:

Code: Select all

x = 33, y = 33, rule = B3/S234jt
12b3o3b3o$11bo2bo3bo2bo$14bo3bo$14bo3bo$14bo3bo2$12b3o3b3o$13bo5bo$13b 7o$12bo7bo$11b11o$bo8bo5bo5bo8bo$o5bo2b2o2bo5bo2b2o2bo5bo$o5b3obobobo
3bobobob3o5bo$5obobobo2bo5bo2bobobob5o$8bobo11bobo$8bob2o9b2obo$8bobo
11bobo$5obobobo2bo5bo2bobobob5o$o5b3obobobo3bobobob3o5bo$o5bo2b2o2bo5b o2b2o2bo5bo$bo8bo5bo5bo8bo$11b11o$12bo7bo$13b7o$13bo5bo$12b3o3b3o2$14b
o3bo$14bo3bo$14bo3bo$11bo2bo3bo2bo$12b3o3b3o!

There's a small chance there's a signal that can travel along the junctions and stitch the sections together but I wouldn't count on it.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Rules with interesting dynamics

vyznev wrote:Nice. A pond will spawn it:

Code: Select all

x = 3, y = 3, rule = 23/345/4
.A$A.A$.A!
That's the smaller version of a pond.

danny
Posts: 968
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

Re: Rules with interesting dynamics

KittyTac wrote:Generations 23/345/4 contains a natural 9-cell 3x3 spacefiller that can repair internal damage to itself.
Yes, this was known among other things since (at least) oct. 2011
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

Rhombic
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Rules with interesting dynamics

I'd like to see more rules similar to this one, with an unstable spacefiller

Code: Select all

x = 187, y = 159, rule = 2-a3/2-a34/4
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This one would be apgsearchable:

Code: Select all

x = 187, y = 159, rule = 2-an3/2-a34/4
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C2A.C.CAC2.2ABABA2.2C.B$B3.CA2B.B.C2.C2.C.CA.2A2.AC5.A.B.2C.C.ACBA.C 3.C4.A3BC.2A2.C2.B2.C.A.A2.C.B.BC.A2.B4.BC2A.A.B.A2.A.B.BA.B.C3.A.BC. B.BABCBA4.C2.A.CB.C2BC2.2CA.C.C.AB.C.B3.C.B.2BC5.AC3.C$2.3BAB.3A.ACAB
.CB.CB.A4.B2.C.B3.A.2A.3B.2B3.C3.B2.4C2.C2B2.B2.BA4.3C.ABC2.C.C.B.2A.
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6.B3.BA$C.A.C.AB.CB3.AB3.A2.A.CBCBAB3.AB3.B.C2.B.B.AB.A.A.A.C.3C2B.A 3.CABCA2.2BABCBACA2.CB.BCB.CB2.C.BC.BA.AC.C.3C3.AB.A.BAC2.CA.2B2AC.C. A5.B2.B2AB.BC2.C4.C3.A5.2A.C.A.AC.ABC.CA$4.C.C2.CAC2B4.CB3.3A2BC3.B.B
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2AB2.CB.2CA2.B.BA.B2.CB4.2C.BAB.A.B$ABA8.3AB.3A.C2.C.A2.BCA.AB.A.C3. 2AC.2A2.2C.BA.C4.C4.CB.B.CAB2CBA.A.B.C.AB2.BA2.BC.AB.B.2C.B.BAB2.C.2B .A.BABAB.B2C.B.C.B3.ACB.CACAC2.A5.BACA2.BABC2.BA2.B.A2.C.ABCA3.B3.B$A
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ABCA2.B3.2B5.B$CB.BC3.A.2ABA2.2C3.A.C.BA.C3.CBA2C2B.BC.B4.3C2A.A2.CBC .AB2.CA2.AB2.3C.A4.BA5.B5.C4.B7.A3.C6.2B2.AB.2C.B4.B2C4.B.2A.A2.B4.C. B.BA.AB.A.2A.2CBC2.B.C2B.A.B$.B.2CB3.3B.A.BABAB3A2BCACB.CB2.ACACB2.BA
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CB.B.C.CBC4.CBCBA2.B2A2.C.2A2C3.B2.B.C2.A.C2.2B2C7.ACB.A$A3C2ACB2.CA 2.CA3.2C.A3.BCA4.C.2B2.CBAC2.B.C.B2C2.2B2.BAB.B2.ACA.B3.A3B2.CB2.C4.C .A2.CBA.A2.CA.5C2.B2.AC.BCA.AC3.C3.A.CB.C.B.B2C.2BCA2.ABAC.A2.2B2ACA. ACA.AB.B.2BA.A5.C3B$2.2B.2CA2.CA3.B2.C.C2A2.AC.B2A.2A11.2B2.A.ACB2.BA
2.BAC2.B4.B4.BA2.B3.2A.C2AB2.C3.B.B3.C2A.C.2B2A.BC2B.BAC.2BC5.CB.C.C
3.AB.C2B4.A.BC2AC2.CA2B.2A.C.C2.AB.B.C.ABAB2.2B!

Gun

Code: Select all

x = 49, y = 61, rule = 2-an3/2-a34/4
24.A$22.2AB2A$22.BA.AB$21.A2CA2CA$21.B5CB$20.2AC.C.C2A$21.B.C.C.B$22. 2C.2C$22.CABAC$23.B.B$24.A7$24.A$22.2AB2A$22.BA.AB$21.A2CA2CA$21.B5CB$20.2AC.C.C2A$20.2A.C.C.2A$20.A.2C.2C.A$18.CB2AC3AC2ABC$17.B2.CBABABA
BC2.B$17.C6.C6.C$17.C5.BCB5.C$19.CB3.C3.BC$19.2A3.C3.2A$19.BC7.CB$23.
3A$22.2AC2A$21.2ACAC2A$21.ACACACA$21.ABCACBA$22.2A.2A$23.ABA$24.A10$
22.A.A.A$21.B2AB2AB$20.CACACACAC$4.AB16.ACACA16.BA$2.ABCBC15.5A15.CBC
BA$.BC19.2A.2A19.CB$3A5.BC13.ABA13.CB5.3A$AC.A3.ACAB13.A13.BACA3.A.CA$3A5.BC29.CB5.3A$.BC43.CB$2.ABCBC35.CBCBA$4.AB37.BA!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? vyznev Posts: 27 Joined: April 23rd, 2016, 4:08 am Re: Rules with interesting dynamics 77topaz wrote: vyznev wrote: Code: Select all x = 3, y = 3, rule = 23/345/4 .A$A.A$.A! That's the smaller version of a pond. Yeah, guess I was zoomed in. Edited to fix. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics Wait, you can use non-totalistic generations? Majestas32 Posts: 524 Joined: November 20th, 2017, 12:22 pm Location: 'Merica Re: Rules with interesting dynamics Just not in apgsearch Please, stop spam searching Snowflakes. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics B2cek/S13 Lots of engineering potential, but large seeds produce intricate patterns of gliders and puffers interacting due to this reaction: Code: Select all x = 6, y = 6, rule = B2cek/S13 2o2b2o3$bo$2bo$2bo!

Try randomly filling a 1500x1500 square and waiting.

77topaz
Posts: 1345
Joined: January 12th, 2018, 9:19 pm

Re: Rules with interesting dynamics

KittyTac wrote:B2cek/S13

Lots of engineering potential, but large seeds produce intricate patterns of gliders and puffers interacting due to this reaction:

Code: Select all

RLE

Try randomly filling a 1500x1500 square and waiting.
Indeed, this rule does indeed produce interesting, complex large-scale behaviour:
Screen Shot 2018-01-31 at 6.11.38 PM.png (153.03 KiB) Viewed 5389 times
(The original soup is in the centre of the image; the horizontal and vertical lines are formed by puffers; the other specks are spaceships.)

Rhombic
Posts: 1056
Joined: June 1st, 2013, 5:41 pm

Re: Rules with interesting dynamics

EDIT: run in Golly

Kirsty's rule exhibits a weird phenomenon that is almost certainly not unique to the rule:

Code: Select all

x = 103, y = 104, rule = B0/S45
34b8ob26o$34b8ob26o$32b10ob28o$32b4o5b3o17b4o2b4o$32b3ob5obob23ob3o$32b4o5b3o16b2o2b2ob4o$32b10ob28o$32b10ob28o$30b12ob30o$30b32o2b9o$28b
47o$28b6o7b3o17b4o4b6o$26b10o25b4o2b10o$26b5o2b3o4b5o22b3o2b5o$24b10ob
33ob10o$24b9ob2o5b3o17b4o2b2ob9o$22b11ob6obobob24ob11o$22b11ob2o4b5o4b 8o3b2o2b2ob2ob11o$20b63o$20b7o3b3ob2ob14o4b13obob2o3b7o$18b18ob5ob42o$18b9obobo7b12o6b6o2b3obobobobob9o$16b6o4bob3o7b4ob11o2b6ob6obobobobo4b
6o$16b6o4b7o7b2ob4o4b3o9b3ob2obobob5o2b6o$14b8o2b9o4b9ob7o9b6obob8ob8o
$14b8o2b3ob5o4b5ob7obo13bob2ob10ob8o$12b15o2b4o4b8ob12o7bob2ob21o$12b 7obo2b2o2b6o4b12o7b2ob4o2bob8ob4o2bob7o$10b9ob6ob5o3b10obob4ob7o2b7ob
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3bob7ob5o2b2ob2obobo2b3ob5ob2o3b3ob4obob8obo2b5obobo3b5obob3o$3obob5o 3bob7o3b3o2b4ob2ob12o2bo3b3ob2ob3ob5ob2obo2b6o2b2o2b6ob4o$3obob5o3bob
3obo5b3o5b3o3b11o2bo3b3ob2o5b2o2b2o2b4ob11ob10o$3obob5o3bob3obo13b3o2b 2ob8o2b2o7b19o3b5ob3o5b4o$3obob5o3bob6o17b2o2b8obo14b2ob10o3b5obobo3b
6o$3obob5o3bob3ob2o6b3ob4o3b3ob7ob3o10b6ob9o3b5obobo3b5o$4ob6ob10o4b5o
b4o5b9obob2o9b4ob11o3b5obobo3b5o$11ob2ob3obo6b5ob4o4b10ob2obob3o5b4ob 11o3b6ob2o2b6o$2b13o3b2o6b9o5b10obo2b5ob5o4b23o2b4o$2b11ob6o9b2obob5ob 3o4b7o2bob3o2b25o6b4o$8b5ob5o10b2o3b5ob3o6b3ob2ob3ob3ob8o6b6o$8b11o4b 3o4b14o5b3ob10ob8o3b9o$10b9o4b7ob4o4b5o12b2o4bob8o2b10o$10b11o2b7ob13o 2b4o3b10o2b6o2b11o$12b11o3b4ob9o6b4o3b4o5b7o4b5o3b2o$12b12o2b5ob11o3bo 2bob6o5b4o6b9obo$14b10o4b3ob11o3b4ob3o17b2o8b2o$14b10o4b3ob22o17bob10o$16b6o2b3ob3o3b19o18bobob2o$16b6o2b4o6b32ob5ob4o2b3o$18b10o6b4o2b4o9b
15o3bob4o2b3o$18b11o6b30o2b15o$20b9o3b4obob24obob2o5b7o$20b14ob45o$22b
11ob7o23b2ob11o$22b11ob32ob11o$24b9ob2o28b2ob9o$24b10ob30ob10o$26b5o2b
3o28b3o2b5o$26b10o28b10o$28b6o32b6o$28b44o$30b40o$30b40o$32b36o$32b36o$32b4o28b4o$32b3ob28ob3o$32b4o28b4o$32b36o$34b32o$34b32o!  Look at the cells around (55,37) if the leftmost bounding box corner is (0,0). When evolved 3 generations, a similar pattern but in reverse colouring appears. None of the intermediate generations show resemblance to the original pattern at that position. This is not exclusive to my posted pattern, feel free to play around and see how after 3 generations pretty much all natural-like patterns will be correlated to 3 ticks later (i.e. I don't count a random soup in generation 1, but after 35 generations or so it's good enough to see this). I think this is the first identified 3-tick correlation in a two-state strobing rule. SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics Well, that's interesting for a rule made by someone high on drugs. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics B2e3aceij/S23-a4 (Clouds) creates huge still lives/oscillators. Code: Select all x = 141, y = 147, rule = B2e3aceij/S23-a4 2o2bob4obobob2o3bo3b2ob2o3b4ob3obo4b4ob2obobo8b2o4bo3bo2bobo2b2obo2bob ob2ob2o5b2o3bob4ob2obo2bobo2bo2b3o2b7o$2b2o6bo4bo2b4obob3o4b4obob2o3bo
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2b3o$ob2o7b3o3b3ob2ob3obobob4obobo3bobo2bo3b2ob5ob2o6bobo4b5ob3obo3b2o b2obob7ob3ob2ob2o3b2o3bob4obo4b4o$bo3b5o2b4ob3obo5bo3b2ob2o2bo2bo2b2ob
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o11b2o$28b2o$15b4o$15bo2bo$16bo$15b2o!  77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm Re: Rules with interesting dynamics KittyTac wrote:Immensely sparky oscillator, the Tesla Coil: Code: Select all RLE  Haha, and it's p19, too. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am Re: Rules with interesting dynamics Generations 1e2-en3-ci4ir5y7c/2c3-ciq4ak6ack7e/3 has lots of natural log and infinite growths. Tell me if it's interesting enough to have its own thread. Seed: Code: Select all x = 227, y = 221, rule = 1e2-en3-ci4ir5y7c/2c3-ciq4ak6ack7e/3 3.A3BAB2.B2A.B.AB4.B3.AB.BA2B2A.B2A2B3A4B3.A2B.2A3.2A.B.A3.BA.2B5.B3. 3AB2.3B.A2.A2.A.B2.2BA2B.3A.BA.A2.BA2.A2.B.A6.A2.2B.B.B3.2B2A2.B.BA3. 2A3.B2.B3ABA.2AB.ABABA2.3AB3.A.AB.B3.B5.B.B3.B.A4.ABA$B.B2A5.A4.BA2.B
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2BA2.B2.A4.A2B.ABA2.2A2.A2B.2A4.B.B4.B4.BA.A$3.2A2B3.2B4.A2.4B.B.A3B. BA2BA6.B2.B.2B.2AB.2AB.B4.B2.2AB5.2B4.B5.B8.BA.2B.B.A.2B.A.2B3.A.BAB 4.2BA2B.BA.BA2.A2.B2.2B3.B.B.A2.BA.2A2.AB.AB2.B9.BA2.BAB4.AB.B2.A.BAB .A2BAB2A.B3.B3.A2.B3.AB!  Sqrt growth: Code: Select all x = 9, y = 3, rule = 1e2-en3-ci4ir5y7c/2c3-ciq4ak6ack7e/3 .7A$A3.BA2.A$.7A!  Last edited by KittyTac on February 17th, 2018, 5:41 am, edited 1 time in total. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm Re: Rules with interesting dynamics KittyTac wrote:Log growth: Code: Select all x = 9, y = 3, rule = 1e2-en3-ci4ir5y7c/2c3-ciq4ak6ack7e/3 .7A$A3.BA2.A$.7A!  As I noted on the other thread where you posted this, that's square-root growth, not logarithmic. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm Re: Rules with interesting dynamics B2ci3ai/S1c2-i3, a rule with enough transitions to allow patterns to escape both their bounding box and bounding diamond, creates large checkerboard crystal structures without exploding: Code: Select all x = 100, y = 100, rule = B2ci3ai/S1c2-i3 3b2obo2bob2obob2o3bo5bobo3bo7bo2b2o2b4ob5o3bo2b6o4bo2b2o10bobobobo2bo$
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8o!


KittyTac
Posts: 533
Joined: December 21st, 2017, 9:58 am

Re: Rules with interesting dynamics

Generations /23/4 produces intricate patterns of agar sections and Brain-like spaceships.

Code: Select all

x = 95, y = 87, rule = /23/4:T300,300
.A.C2.C.B.A.A.ACB.C2.A4.A2.2BCAB4.4B4.2A.A.C.3CA.BAC9.C5.B.CB2.B.CABC
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Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Rules with interesting dynamics

KittyTac wrote:

Code: Select all

x = 95, y = 87, ...
Don't mind me, just using this pattern to show off a rule with a one-cell reflector:

Code: Select all

x = 95, y = 87, rule = 05/2aen345/4:T300,300
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Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27. A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A$4.2A18$4.2A$4.2A2.2A\$8.2A!