Rules with interesting dynamics

For discussion of other cellular automata.
iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » January 25th, 2024, 4:38 am

B0123456aei/S5-ky, or "SlowLife", rich in oscillators, has a not-the-glider simple spaceship, and a just-discovered infinite-growth:

Code: Select all

x = 82, y = 17, rule = B0123456aei/S5-ky
77b2ob2o$45bo2bo29b3o$38bo7b2o5b3o4b3o16bo$b2o3b2o7b2o5bo6b3o5b3o6b2o
7bo6bo7b2ob2o4bo$bo5b2o6b2o4b3o4b4o6bo6bo2bo5bo7bo8b3o5bo$2o5bo5b2o6b
3o4b3o39b2ob2o3b3o$13b2o7bo4b4o47bobo$27b3o2$obo3b2obo$3o3b4o22b7o5b7o
$7b2o8b2obob2o8b7o5b7o$3o3b4o8b5o9b3ob3o5b3ob3o$obo3b2obo7b2obob2o8b2o
3b2o5b2o3b2o$32b3ob3o5b3ob3o$32b7o5b7o$32b7o5b6o!
Discussion thread and explosive variant
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

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NimbleRogue
Posts: 538
Joined: January 11th, 2021, 11:48 pm

Re: Rules with interesting dynamics

Post by NimbleRogue » January 29th, 2024, 8:33 pm

Soups in this rule are interesting as blotches of s8 will form that are surrounded by chaos meaning soups will slowly shrink until they die out, leading to s8 structures in periodic patterns being deceptively uncommon

Code: Select all

x = 1, y = 1, rule = B36ek78/S2-an3-cy4ijqrt5-acry6-c78
![[ RANDOMIZE ]]

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » January 30th, 2024, 10:13 am

B2ae/S1e2i, similar to Seeds, but still very different. "known" for puffers and rakes being surprisingly common:

Code: Select all

x = 87, y = 137, rule = B2ae/S1e2i
84bo$44b2o37bobo$43bo2bo20b2o15bobo$47bo37bo$48bo$49bo$50bo$7b2o42bo$
6bo2bo$3b2o$2bo94$47b4o3b3ob3o3bo2b2obo2bo3b2o$47b2o3b3o2b3obobo4bob2o
bo2b3o$48bobobo3b3o2bo3b3ob5o4bo$54bo2b3o7b2ob2ob2obobo$50bobo5b2ob3o
2bobob2obo$47b5o2bo3b5o2b3o6bob2o$49bo4bobo2bo3b2ob4o7bo$48b4o2b3obobo
2bob9obob2o$47b5o2bo2bobobo6bo2bo6bo$49bo3b2ob4o2bo3bo2bob2o3bobo$47b
2ob2ob3o2b2ob2o2b3ob2o4b3o$47bob2ob3o2bo3bobob2ob2obob6o$49bob4ob3obo
2bo4b3ob4ob2o$49bo2bobo2b2o3b2o2bo4bobo4bo$47bo5bo13b2obo2b2ob2o$48bo
2bob2o3b3ob2obo2b2o3b2o$51b2o3b2o2bob2ob3o3b2obo2bo$48b2ob2o2bob2o13bo
5bo$47bo4bobo4bo2b2o3b2o2bobo2bo$47b2ob4ob3o4bo2bob3ob4obo$47b6obob2ob
2obobo3bo2b3ob2obo$48b3o4b2ob3o2b2ob2o2b3ob2ob2o$47bobo3b2obo2bo3bo2b
4ob2o3bo$47bo6bo2bo6bobobo2bo2b5o$47b2obob9obo2bobob3o2b4o$48bo7b4ob2o
3bo2bobo4bo$48b2obo6b3o2b5o3bo2b5o$52bob2obobo2b3ob2o5bobo$47bobob2ob
2ob2o7b3o2bo$47bo4b5ob3o3bo2b3o3bobobo$47b3o2bob2obo4bobob3o2b3o3b2o$
47b2o3bo2bob2o2bo3b3ob3o3b4o!
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

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breaker's glider gun
Posts: 673
Joined: May 23rd, 2021, 10:26 am
Location: the inside of a stuffed anaconda or maybe [click to not expand]

Re: Rules with interesting dynamics

Post by breaker's glider gun » January 30th, 2024, 12:12 pm

NimbleRogue wrote:
January 29th, 2024, 8:33 pm
Soups in this rule are interesting as blotches of s8 will form that are surrounded by chaos meaning soups will slowly shrink until they die out, leading to s8 structures in periodic patterns being deceptively uncommon

Code: Select all

x = 1, y = 1, rule = B36ek78/S2-an3-cy4ijqrt5-acry6-c78
![[ RANDOMIZE ]]
A relative:

Code: Select all

x = 64, y = 64, rule = B36ek78/S2-a3-cny4ijqrt5-acry67c8
2ob2ob2o5bob9obo5bobob3o2b2ob2o2bo2b3o3b5o2bo$2obob2o2bob2o2b4o6bo4b2o
b2ob4o3bo3bobo3b2o5bob2o$bob2o2b2o5bob3o2bo2b7ob2o2bo3bo4bob3obobob2o
4bo$b2obo2b2ob5ob2o4b3ob3ob2o3bob5o2bo3b2ob4o4b2o2bo$2b2o3b2obo2b6ob2o
2bobobob3o2bo5b3obob2o2bob2o2bo2bo2bo$3bo2bob2o3bo2b7ob3o3bob2o2bo3bo
2b2obo2b2o2b3obob3obo$2b2ob5o2bo3bo3bo2bob2o3bo2bobob3o2bobo2b3obo2b4o
3bobo$b2o2b2o4bo2b2ob2o2bo2b2o5bobo2bo2b4ob3o2bo3b3o4b4o$2o2b3o4b2ob2o
4bob3o2bobobo2b2o2bo2bobobo2b2o2b3obo3bo2bo$2o3b2obo2bo2b2o2b2ob2obob
2o2b2o3bob3obo2b7ob3ob4o2b2o$2b4o3b5o4bob2o3bo5bo2bo4bob2obo2b5o3b2o2b
ob2o$ob3o2bob3o2bo3b5ob2obobob2o2b4o3b2obobobo2b2o3b2o$bob5o5b4o2bo2b
2ob11ob4obob2o3b3o4b3obo2bo$4obob2o3bob2o3bobobo6b2obobo5b3o2bobo2bo3b
7obo$o2b3o4b4o5b3obob3ob3o4bobo4b2o2bo2bobo2b2o2b2o$b2ob2ob3ob3ob3o2b
3obob5obobob2ob3ob4o4b5obo2b2obo$7bobobob4o3bob6ob3o2bobob2ob2ob2obo3b
ob4ob6o$bo2b4obob2ob2ob2o2bobo3b2o2bobo11bo3bo2bob2ob2o3bo$4b6ob5o2bo
bo6bob2obob2ob3o4b2o2bob2o2b4o$b2obo2bo3b2ob2ob3o2bobob6obobobobo4bo5b
obobobobobo$o4b3ob2o2b2o2bo4b2ob4ob3ob2o4b2obo2bob2o2b3obobo2b3o$3obo
2bob2o4bo6b4obo2bobo3b2o3bo3b2ob2o3bob2ob4o$2b5ob2o2b2o2bob3o2bo3b2o2b
o2b2ob2obo4b2o2b2o4bo3bobo$3ob3obo4b2o2b2ob3obobo2b5o3b3o4bo3b2o2b2ob
2o3bobo$b2o5b2o3b4o2bob3ob3ob5o2bob2o2b2obobobo2b2o3b3ob3o$b3ob2obob2o
bobobo8bo2bobob3obob2o7bob2obo3b3o2b2o$o8b3ob3o2bo3b3obobo2b2o3bobobo
b3o2bo2b2obo7b2o$2b3ob2obob2o4bo2b2ob2o2b2o2bo3b2o3bo2bo2b3o2b2obo4b2o
2bo$obo2b2o4bo2bobob4obo2bobobob3obobo5b2obo4b3o2bobo2bo$bob2ob3ob2ob
o2b2obo4bo2b2o4bob6ob2ob2ob2ob2o2bobo3b3o$2b4ob6ob5o2bob2o5b2obo2b3o2b
obo2bo2bo2b2o5bobobo$o2b3obobo3b3ob2o2b4o2b2o4b3ob3ob2o3b3ob2o2b2obo2b
3o$2bo3bob2ob4obob2o2bo5bobo2bob3o2bob3o2b3o2b2o2bob2o2bo$2ob3o2b8obo
bo4bob4obob3ob2obo3bob2ob2o2bob2o2bo2b2o$ob2o2b2o5b2o2bo3b3o4b5obo2bo
bo3bo2b4o2b3ob2o2b4o$obob2obob3obo2bobob4o6bo2bob2o3b4o4b2o2bo2b2o3bo
2bo$o6bo4bo3bo2bo3b5ob3obobo2b4o3b2o4bobo$2o2b2obob3ob2o3b3ob3obob2o3b
2o2b4obo2b4o5bo3b2o$ob2o2b3o2b2o2bo5bo5b2o3b6ob4ob6obobo4b2o2bo$2bo2b
obobob3ob2ob5ob3ob4obob3ob3obob4ob3o2bo2b3o$2b2o2b4obob2obobob2o3bob2o
bo5b2obob3ob5obo2b2ob2o4bo$2o2b2o2bo4b2o2bo2b2ob3o2b4obo3b5obobo4bo2b
2o2bob2ob2o$bo3b3o4bo2bob3ob4o3bob11obo3b2obo4b3o2b2o$3b2obo3b4o3b3o2b
o2bobob2ob3ob5o2b3obobob2ob5obobo$3bob2o2bobo6b2o2bo2bob6ob6ob3ob6ob3o
3bo2b2o$obobo2b2ob5o2b2ob2ob2ob7o2b2obobob4ob2o3b2o6bo2bo$3b2obo10b5o
2b2o2b2obobob6o3b2o2b7ob4o$o2bo2b3o8bob2o5bo2b4o3bob4obo2b5obo4b2o4bo
$b3obo3bo2b3o4bo3b3obob5ob2ob2o2bob2obob4o2b3o2b3o$3b5ob10obo2b3ob3o2b
2ob3o4bobo2b2o2bob2o2bo2bob2o$2o3b2o2b3o3bob3o4bo3b8obob2o2b4obo2b2ob
o2bo2b2obo$obo3b2o2bob3o2b2ob2o4bob6o3bo2bob2o9bo4b4o$b2ob2o3bo2bo3b2o
4b2o2bob2o2bo3bob2o3bo2bo3b7obo2b2o$ob2o3bo2b2o2b2o3bo2bob2ob4ob3o2b4o
bo2b2ob2ob4obo2b3obo$bo3b3o5b3o5b2obobob4obo3b2o2bo2bo2bo7b5ob3o$2bob
obobobo2bob3obob2o3bo4bo5b2ob5o3b3obobo3bo$o3bob4obobob3o2b3o2b3o2bo3b
o2bo3b2ob2o2bob2obobo4b2obo$5o4bo4bo3b3ob2o3b4ob3o3bo2bob2o2bobo2bo4b
3ob3o$3ob2o2b5o2bo2bo2b2obob3obob5o2b3obob5o3b2o2bob4o$b8o2b5o2b2ob3o
b3ob5ob2o2bo7b7obo3b2obo$3obo2b3o3b2o2b2o4b3obobo2b2o3b2ob3o4b2ob2ob2o
2bo3b3o$o2b3o2bo3b2o6bo4bo3bo2b4obo2bob2obob3o3b7o3bo$b3o2bo5b8o3b2o2b
obo2bo2bo2bob4ob2o3b7obo2bo$4bob3obo2b6o3b2o3b2o6b2o2bob5o2b3ob6obo3b
o!
:?: :?: . . . :!:
Give me a suggestion of something to draw here!

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NimbleRogue
Posts: 538
Joined: January 11th, 2021, 11:48 pm

Re: Rules with interesting dynamics

Post by NimbleRogue » February 2nd, 2024, 2:08 am

This rule has a total of 27 natural, or seminatural speeds of ship, with 2 unique c/13o, a 2c/26, 3 unique c/14o,2 unique c/15o, 2 unique c/21o, meaning there are 33 unique natural, or seminatural ships not including c/3 variants. Thanks to Ampere doing some RLS, and Qfind searching we have 3 new speeds, from search programs bringing us to 30 speeds in total, and 4, 'c' versions of previous period multiple ships.

Code: Select all

x = 826, y = 136, rule = B3aijnq4cjy5cky/S3ky4aceq5-ekqr6ac78
3o27b3ob3o23b3o27b3ob3o23b3ob3o23b3ob3o24b3o26b3ob3o24b3o26b3ob3o24b3o
27b3o27b3o26b3ob3o23b3ob3o25b3o26b3o28b3o25b3ob3o23b3ob3o23b3ob3o23b3o
b3o25b3o55b3ob3o23b3ob3o25b3o27b3o$o31bobo25bo31bobo27bobo27bobo26bo
30bobo26bo30bobo26bo29bo29bo30bobo27bobo27bo28bo30bo29bobo27bobo27bobo
27bobo27bo59bobo27bobo27bo29bo$o29b3obo25bo29b3obo25b3obo25b3obo26bo
28b3obo26bo28b3obo26bo29bo29bo28b3obo25b3obo27bo28bo30bo27b3obo25b3obo
25b3obo25b3obo27bo57b3obo25b3obo27bo29bo$o31bobo25bo29bo3bo25bo3bo25bo
3bo26bo28bo3bo26bo28bo3bo26bo29bo29bo30bobo25bo3bo27bo28bo30bo27bo3bo
25bo3bo25bo3bo27bobo27bo59bobo27bobo27bo29bo$3o27b3ob3o23b3o27b3ob3o
23b3ob3o23b3ob3o24b3o26b3ob3o24b3o26b3ob3o24b3o27b3o27b3o26b3ob3o23b3o
b3o25b3o26b3o28b3o25b3ob3o23b3ob3o23b3ob3o23b3ob3o25b3o55b3ob3o23b3ob
3o25b3o27b3o2$3o27b7o23b3o27b7o23b7o23b7o23b5o25b7o23b5o25b7o23b5o25b
5o25b5o25b7o23b7o23b7o23b5o25b7o23b7o23b7o23b7o23b7o23b7o53b7o23b7o23b
7o23b7o2$3o28bob3o24b3o28bob3o24b3ob3o23b3ob3o23bob3o25b3ob3o23bob3o
25b3ob3o23bobobo25bob3o25bob3o25b3obobo23b3ob3o23b3ob3o23b3obo25b3ob3o
23bobob3o23b3ob3o23b3ob3o23b3ob3o23b3ob3o54b3obo24b3ob3o23b3obobo23b3o
b3o$2bo28bo3bo26bo28bobo28bobobo25bo3bo23bo3bo27bobo25bo3bo27bobo25bob
obo25bobo27bo3bo25bo3bobo25bo3bo25bobobo25bobo27bo3bo23bobobo25bo5bo
23bo5bo23bobo3bo25bobo58bobo26bo3bo25bobobo25bobobo$3o28bob3o26bo28bob
3o24b3obobo23b3ob3o23bob3o25b3ob3o23bob3o25b3ob3o23bob3o25bob3o25bo3bo
25b3ob3o23b3o3bo23b3obobo23b3obo25b3ob3o23b3ob3o23b3ob3o23b3ob3o23b3o
3bo23b3ob3o54b3obo24b3o3bo23b3ob3o23b3ob3o$2bo28bobo28bo28bobobo24bo3b
obo23bo3bo25bobo27bo5bo23bo3bo25bo3bobo23bo3bo25bo3bo25bo3bo27bo3bo25b
o3bo23bo3bobo23bo3bo25bo3bo27bo3bo23bobobo25bobo3bo25bo3bo25bo3bo56bob
o26bo3bo23bo5bo25bo3bo$3o28bob3o26bo28bob3o24b3ob3o23b3ob3o23bob3o25b
3ob3o23bob3o25b3ob3o23bo3bo25bob3o25bo3bo25b3o3bo23b3o3bo23b3ob3o23b3o
bo25b3ob3o25bob3o23b3ob3o23b3ob3o23b3o3bo23b3ob3o54b3obo24b3o3bo23b3o
3bo23b3ob3o21$2b2o27b7o24bo2bo3bo2bo18b4o31bobo24b2o26b7o24b4o26b3o28b
2o25b5o3b5o21bo29b2o26b3o25b7o27b2o24b4o3bob2obo3b4o17bo22bob5obo24b2o
26b2o5b2o24b2o24b7o65b3o24bo21b2o32bo$b4o26b7o22b7ob7o15b6o25b6ob6o17b
6o24b7o23b6o24b5o25b6o24b5ob5o20b5o26b4o23b7o23b7o25b6o22b4o2b8o2b4o
13b4o24b7o24b4o26b3ob3o24b4o23b7o64b5o20b5o19b4o27b4o$6o25b7o22b7ob7o
16b4o25b7ob7o16b6o24b7o24b4o25b5o25b6o24b5ob5o20b5o25b6o23b5o24b7o24b
8o21b4o2b8o2b4o11b6o24b7o22b8o23b4ob4o22b6o22b7o64b5o19b5o20b4o27b4o$
2b2o27b7o23b6ob6o17b4o27b5ob5o17b8o22b9o23b4o25b5o26b4o25b5ob5o19b7o
23b8o22b5o24b7o23b10o20b4o4b4o4b4o11b6o24b7o23b6o24b4ob4o22b6o22b7o63b
6o19b5o21b2o27b6o$b4o25bob5obo23b3o2bo2b3o17b6o26b5ob5o18b6o23b9o23b4o
26b3o26b6o23bo2b3ob3o2bo17b9o22b8o22b5o25b5o25b8o23bo5b4o5bo12b8o23b7o
23b6o24b4ob4o22b6o23b5o61b8o17bob6o20bo30b4obo2bo$b4o27bo3bo24b4o5b4o
17b4o27b5ob5o18b6o23b9o23b4o26b3o25b8o25b3ob3o22b5o23bob6obo20b7o24b5o
25b8o29b4o19b5o24bob5obo22b6o24b4ob4o21b8o22b5o61b6o19b7o56b4o$62b3o5b
3o18b4o27b5ob5o19b4o26b5o25b4o24b7o25b4o27b2o3b2o21b7o22bob6obo21b5o
25b5o24b10o28b4o21b2o26b7o22b8o22b5ob5o19b10o21b5o61b5o19b6o58b4o$63b
2o5b2o19b4o26b6ob6o18b4o26b5o23b8o23b5o25bob2obo27bo3bo22b7o24b6o23b5o
25b5o26b6o31b2o49b9o22b6o24b4ob4o20b10o21b5o59b7o19b5o59b4o$91b4o27b5o
b5o20b2o26b7o23b6o23bob3obo25b4o56b5o25b6o23b5o24b7o25b6o83b7o22b8o23b
4ob4o22b6o23b5o58b8o18b7o58b4o$90b6o26b5ob5o20b3o24b9o23b4o24b7o24b6o
55b5o25b6o23b5o24b7o25b6o86bo25b8o24b3ob3o25b2o25b5o58b5o22b4o61bo$89b
8o26b4ob4o51b3o26b4o25b5o27b2o57b5o23b10o22b3o27b3o26b8o111b8o23b4ob4o
50b7o55b7o23bo$91b4o28b4ob4o50bobobo25b4o25b5o27b2o56b7o23b8o24bo28b3o
26b8o111b8o23b4ob4o50b7o54b7o$90b6o27b4ob4o80b4o25b5o27b2o57b5o25b6o
25bo28bobo27b6o113b6o25b3ob3o52b5o55b5o$90b6o28b3ob3o81b4o25bo3bo27b2o
89b2o85b8o114b2o28b2ob2o53b5o55b5o$92b2o117b6o56b2o175b10o142bo5bo53b
3o55b5o$211b6o56b2o177b6o203b5o55bo$211b6o56b2o177b6o203b5o$211b6o56b
2o176b8o203b3o$213b2o237b6o203b5o$453b4o203b7o$454b2o206b3o$662b3o$
662b3o$663bo17$3b2o237b7o54bo31b2o143b7o$2b4o235b9o51b5o27b6o141b7o$b
6o235b7o52b5o25b10o139b7o$b6o234b9o51b5o24b12o138b7o$8o233bob5obo52b3o
26b10o140b5o$3b2o237b7o53b3o27b8o141b5o$241b9o52b3o28b6o142b5o$241b9o
51b5o26b8o141b5o$240bob7obo51b3o27b8o141b5o$242b2o3b2o52b5o26b8o142b3o
$302b3o29b4o144b3o$302b3o29b4o142b7o$300b7o26b6o141b7o$301b5o28b4o143b
5o$302b3o30b2o143bob3obo$302b3o175b7o$302b3o176b5o$302b3o177b3o$302bob
o178bo22$301bo3bo$300b7o$301b5o$300b7o$302b3o$302b3o$302b3o$301b5o$
302b3o$301b5o$302b3o$302b3o$302b3o$302b3o$303bo!
Edit 1: now 22 speeds with c/20o, and c/21o
Edit 2: I miscounted the c/13s and the 2c/26 as different last time but now actually 22 with another c/21o, and a c/35o
Edit 3: The c/12 has appeared many times in D2_+1 gutter, yet I never saw it in the regular symmetry and a c/7o
Edit 4: I Forgot to include the c/12 in the last rle, and there now is a 2c/20o, and a 2c/63o. Surprisingly the 2c/63o did not appear in a gutter search, just a regular one
Edit 5: Thanks to Ampere using RLS, and Qfind we have c/4o,c/5o,c/6o,c/8o,c/9o,c/10o,c/11o

Code: Select all

x = 202, y = 64, rule = B3aijnq4cjy5cky/S3ky4aceq5-ekqr6ac78
8b2o4b2o31b4o20b4o4b4o20bo7bo23b4o25b4o27b2o$5bob3o4b3obo28b4o19b6o2b
6o18b3o5b3o22b4o24b6o23b8o$2b3o2b4o2b4o2b3o20b3ob6ob3o15b4o4b4o17b6o3b
6o19b6o24b4o24b8o$5o3b3o2b3o3b5o17b5ob4ob5o13b4o6b4o17b5obob5o21b4o25b
4o23b10o$b4o3b3o2b3o3b4o18b5ob4ob5o14b3ob4ob3o19b11o21b6o24b4o23b10o$b
o2bo2bo8bo2bo2bo18b5ob4ob5o16bob4obo21b5ob5o20b8o22b6o22b10o$5bo12bo
21bob4ob4ob4obo16b6o22b4o3b4o22b4o23b8o22b8o$42b4ob4ob4o20b2o25b2obobo
b2o22b6o24b4o23b10o$5bob4o2b4obo24bo4b2o4bo17b3ob2ob3o21bo7bo22b6o23b
6o21b12o$5b6o2b6o29b2o20b5ob2ob5o51b4o23b8o22b8o$5b14o28bo2bo19b5ob2ob
5o21b5o26b2o25b6o22b10o$3b2ob5o2b5ob2o20b4o8b4o13b5ob2ob5o20b7o20bo4b
2o4bo21b4o24b8o$b4ob4o4b4ob4o17b7o4b7o14b3ob2ob3o22b7o19b4o2b2o2b4o20b
4o25b6o$2b3ob3obo2bob3ob3o18b5o2bo2bo2b5o14b3ob2ob3o21b9o19b4ob2ob4o
21b4o26b4o$2b3o2bo8bo2b3o18b4o4b2o4b4o14b3ob2ob3o20b11o19b3ob2ob3o23b
2o26bob2obo$3bo3bo8bo3bo20b3o2b6o2b3o16b8o23b7o21b3ob2ob3o53b2o$4bo14b
o20bob2o3b4o3b2obo14b3ob2ob3o21b9o20b3ob2ob3o22b4o26b4o$3b4o10b4o21b4o
b4ob4o46b11o19b3ob2ob3o21b6o26b2o$3b3o12b3o20b4o3b2o3b4o47b7o24bo2bo
23b8o$3b3o12b3o23bo3b2o3bo51b5o51b10o23b4o$44bo3b2o3bo52b3o51bob8obo
21b6o$47b4o55b3o53b8o23b6o$43b2o2b4o2b2o51b3o51bo2b6o2bo22b4o$41b6ob2o
b6o45b2o2b3o2b2o50b6o24bob2obo$42b4o2b2o2b4o45b4ob3ob4o47b10o$42b4o2b
2o2b4o45b4obobob4o47b10o$42b2obo2b2o2bob2o44b6o3b6o48b6o$42bobob6obobo
47bo7bo52b4o$47b4o112b6o$48b2o112b8o$42b3o3b2o3b3o107b6o$40b6o2b2o2b6o
107b2o$41b4o2bo2bo2b4o$41b4o2bo2bo2b4o$41b2o2b2ob2ob2o2b2o$42bo4b4o4bo
$44b2ob4ob2o$48b2o$41bo4bob2obo4bo$41b5obo2bob5o$40b7ob2ob7o$42b5o4b5o
$43b5o2b5o$42b3o8b3o$43bo10bo$44bo8bo$43b4o4b4o$41b6o4b6o$42b6o2b6o$
42b4o6b4o$43bob2o4b2obo$45bo2b2o2bo$47b4o$46b6o$46b6o$42b2o2b6o2b2o$
41b4ob6ob4o$41b4ob6ob4o$41b4ob6ob4o$41b3o2b6o2b3o$41bo6b2o6bo$47b4o$
47b4o$47b4o!
Also the rulespace for the semi/natural is this B3aijnq4cy5cy/S4aq5acijn6ac78 - B3aijknq4cejwy5cky/S2n3cky4aceqwyz5acijkny6ac78
Just these ships have the same rulespace

Code: Select all

x = 839, y = 133, rule = B3aijnq4cjy5cky/S3ky4aceq5-ekqr6ac78
15$28bo2bo3bo2bo108b7o292b4o3bob2obo3b4o101b2o5b2o24b2o24b7o65b3o24bo
55bo$26b7ob7o106b7o292b4o2b8o2b4o102b3ob3o24b4o23b7o64b5o20b5o50b4o$
26b7ob7o106b7o292b4o2b8o2b4o101b4ob4o22b6o22b7o64b5o19b5o51b4o$27b6ob
6o106b9o291b4o4b4o4b4o101b4ob4o22b6o22b7o63b6o19b5o50b6o$28b3o2bo2b3o
107b9o293bo5b4o5bo103b4ob4o22b6o23b5o61b8o17bob6o51b4obo2bo$27b4o5b4o
106b9o299b4o109b4ob4o21b8o22b5o61b6o19b7o56b4o$28b3o5b3o109b5o301b4o
108b5ob5o19b10o21b5o61b5o19b6o58b4o$29b2o5b2o110b5o302b2o110b4ob4o20b
10o21b5o59b7o19b5o59b4o$147b7o413b4ob4o22b6o23b5o58b8o18b7o58b4o$146b
9o413b3ob3o25b2o25b5o58b5o22b4o61bo$149b3o415b4ob4o50b7o55b7o23bo$148b
obobo414b4ob4o50b7o54b7o$568b3ob3o52b5o55b5o$569b2ob2o53b5o55b5o$568bo
5bo53b3o55b5o$627b5o55bo$627b5o$628b3o$627b5o$626b7o$628b3o$628b3o$
628b3o$629bo17$208b7o54bo$207b9o51b5o$208b7o52b5o$207b9o51b5o$207bob5o
bo52b3o$208b7o53b3o$207b9o52b3o$207b9o51b5o$206bob7obo51b3o$208b2o3b2o
52b5o$268b3o$268b3o$266b7o$267b5o$268b3o$268b3o$268b3o$268b3o$268bobo!
By just removing the non c/24 diagonals (3 ships) the rulespace more than doubles to 2^16
B3aijnq4cy5cy/S4aq5acijn6ac78 - B3aijknq4cejwy5cky/S2n3cky4aceqwyz5acijkny6ac78
Edit 6: I recounted, and it is 27 base speeds, I don't know how I miscounted.
Last edited by NimbleRogue on April 17th, 2024, 3:23 pm, edited 9 times in total.

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » February 2nd, 2024, 5:36 am

B2-ae3ain/S012c3c4 causes patterns to almost always become a checkerboard-like thing that grows slowly for a while before stabilizing.

Code: Select all

x = 32, y = 31, rule = B2-ae3ain/S012c3c4
2o3bo2bob3obob2o3bo2bob3obo$2o3b2ob2obob5o3b2ob2obob3o$bobo2bo2b2obo4b
obo2bo2b2obo$2obob2o5bobob2obob2o5bobo$b2o2b4o3bo4b2o2b4o3bo$2bo3bobob
3obo3bo3bobob3obo$b2o2b2o3b2o2bo2b2o2b2o3b2o2bo$o2b4o7bobo2b4o7bo$4o3b
2obobobob4o3b2obobobo$4ob3ob2o2bob5ob3ob2o2bobo$4ob4o3bobob4ob4o3bobo$
bo2bo2b2o5b2obo2bo2b2o5b2o$2b3ob3o2bob2o3b3ob3o2bob2o$3o3b3o3bo2b4o3b
3o3bo2bo$5o3b3o2bo2b5o3b3o2bo$2o3bob2ob3obob2o3bob2ob3obo$2o3b2ob2obob
5o3b2ob2obob3o$bobo2bo2b2obo4bobo2bo2b2obo$2obob2o5bobob2obob2o5bobo$b
2o2b4o3bo4b2o2b4o3bo$2bo3bobob3obo3bo3bobob3obo$b2o2b2o3b2o2bo2b2o2b2o
3b2o2bo$o2b4o7bobo2b4o7bo$4o3b2obobobob4o3b2obobobo$4ob3ob2o2bob5ob3ob
2o2bobo$4ob4o3bobob4ob4o3bobo$bo2bo2b2o5b2obo2bo2b2o5b2o$2b3ob3o2bob2o
3b3ob3o2bob2o$3o3b3o3bo2b4o3b3o3bo2bo$5o3b3o2bo2b5o3b3o2bo$o6b2obobobo
bo6b2obobobo!
A slight change to the rule makes it explosive, but in a very interesting way:

Code: Select all

x = 32, y = 31, rule = B2-ae3ain/S0123c4
2o3bo2bob3obob2o3bo2bob3obo$2o3b2ob2obob5o3b2ob2obob3o$bobo2bo2b2obo4b
obo2bo2b2obo$2obob2o5bobob2obob2o5bobo$b2o2b4o3bo4b2o2b4o3bo$2bo3bobob
3obo3bo3bobob3obo$b2o2b2o3b2o2bo2b2o2b2o3b2o2bo$o2b4o7bobo2b4o7bo$4o3b
2obobobob4o3b2obobobo$4ob3ob2o2bob5ob3ob2o2bobo$4ob4o3bobob4ob4o3bobo$
bo2bo2b2o5b2obo2bo2b2o5b2o$2b3ob3o2bob2o3b3ob3o2bob2o$3o3b3o3bo2b4o3b
3o3bo2bo$5o3b3o2bo2b5o3b3o2bo$2o3bob2ob3obob2o3bob2ob3obo$2o3b2ob2obob
5o3b2ob2obob3o$bobo2bo2b2obo4bobo2bo2b2obo$2obob2o5bobob2obob2o5bobo$b
2o2b4o3bo4b2o2b4o3bo$2bo3bobob3obo3bo3bobob3obo$b2o2b2o3b2o2bo2b2o2b2o
3b2o2bo$o2b4o7bobo2b4o7bo$4o3b2obobobob4o3b2obobobo$4ob3ob2o2bob5ob3ob
2o2bobo$4ob4o3bobob4ob4o3bobo$bo2bo2b2o5b2obo2bo2b2o5b2o$2b3ob3o2bob2o
3b3ob3o2bob2o$3o3b3o3bo2b4o3b3o3bo2bo$5o3b3o2bo2b5o3b3o2bo$o6b2obobobo
bo6b2obobobo!
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » February 2nd, 2024, 5:50 am

iddi01 wrote:
February 2nd, 2024, 5:36 am

A slight change to the rule makes it explosive, but in a very interesting way:

Code: Select all

x = 32, y = 31, rule = B2-ae3ain/S0123c4
Adding B3y cancels the explosion, but wickstretchers still emerges from soups:

Code: Select all

x = 16, y = 16, rule = B2-ae3ainy/S0123c4
4b4ob2ob2o$o5b2ob3o$3b3obob5o$4obob2o3b4o$obo2b3ob2o2b2o$6b2o2bob3o$2b
obo3b2o2bo$5b2obobo3bo$o3b3obo3b2obo$2o3b4ob2o2bo$2bo2bob2o2bo2b2o$2o
6bo2b2o$3o2b2o3bob2obo$b3o3bo7bo$b3o2b3ob2o2bo$ob5obobobob2o!
The smallest wickstretcher is this:

Code: Select all

x = 8, y = 8, rule = B2-ae3ainy/S0123c4
2bo$bobobo$obob3o$bo2b2o$2bo3bo$3bobobo$4bobo$5bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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100th post: 18 November 2023
1000th post: 8 March 2024
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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » February 5th, 2024, 7:28 am

This one is basically a must-share for me!
B2ce3ei/S2-a3-a4 has its growth based on a failed wickstrecher and a very common puffer, causing highly chaotic growth.
After patterns are growing for a while, zoom out heavily and the dense areas looks surprisingly similar to cotton (even more so in Golly).

Code: Select all

x = 3, y = 5, rule = B2ce3ei/S2-a3-a4
bo$obo$3o$bo!
In the variant B2ce3ei/S2-i34 the wickstrechers don't fail, and the growth is very similar to those of real-life snowflakes.

Code: Select all

x = 3, y = 4, rule = B2ce3ei/S2-i34
bo$3o$3o$bo!
In another variant, B2ce3ei/S2-s3-e4, there are no wickstrechers, but it has a surprisingly common period-104 puffer.

Code: Select all

x = 3, y = 4, rule = B2ce3ei/S2-a3-e4
bo$3o$3o$bo!
Most similar rules are quite interesting, i strongly recommend you to explore them.
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » February 5th, 2024, 8:24 am

This rule is similar to Flakes, but there're no chaotic growth. Generally, wickstretchers can create interesting reactions, such as bouncing a wickstretcher:

Code: Select all

x = 347, y = 332, rule = B3ai/S012345678
b4obo4bobobobo2b2o2bob3o4b2o3bo2b3o4b2obo2b2ob2ob3o4bob5o2b4o2bob2ob3o
bo3bobo2b2o5bo2b2ob7ob3ob3o3bo3bob2o2b3obob4o3bobo3b2obobo7b2obobobob
o2b5o4b2obob3o3bobobob2o6b2o2b2o3bo3bo2b2o2bob2obo2bob2ob2ob3obob2obo
2bob2ob4o5b2ob3o2b2o3bo2bo4b5obo7b2obob3o2b4o3b2ob2ob2obo2b2o$3b3o2bo
2b2ob2ob3o2bo3b5o6bobo3bo2bo3b2o2b2o2bo4bo2bo5b2o3bo2b2ob2o3bobo2bobo
bo3bo3bobo2b4o3b3ob7obob2o5bobob2o2b2o4b4o2bo2bo3b3o2b2ob5o2b3obo2b2o
b2o5b2obo2bo2bo2bo3bobo3bobo7b3o4bo2b3o4bob2ob2o2bo2b3o3b5obo2b3o2bob
2obo2b3o3b2ob2obobo2b2o4b2obobobobobo7b2o2bob2ob2o2bo2b2o$5bobobobo4b
6obob2obo5bob3obob4obobobo2b2o2b3ob2o3bob2o2bobobo2b4ob2o2b2o2bo2bob2o
bob2ob3obob2o2b4o3b2o10bo3bo2bob2o2bo4bob3o3bo4bob2ob3o2b2ob3obob5obo
bo2b2o2bob2o2bo4bob2o2b2o7b7o2b4o2bobobo2bo5bo4b2o3bobobobob3o3bo2b2o
b3o4bo3b2ob2ob3o2bo2bo2bob5obo2bo4b4o2b3o2b4o2bo$o2bo2b3obo2b2obob3ob
3ob5ob3o3b6obo2bo3bo4bob7o2bobobobob2o4b2obob3ob7o2bob2obobo2bob2o3b2o
3b2o3b2o5b2ob3o2b2o2bo2b2ob5ob4obob2o3bobo2b4o2b3o5b2obobobobo5bo2bo2b
3o6b2obo2bobo2b2o3b2o2bobob2o4bobo2bob3o2bo2b5obobo2b2ob2ob2obo2b2obo
4bo4b5o2b2o6b2o2bob2ob2obo3bob4o2b2o3b2o$bob3ob2obob3obob3o2bo4b2obob
ob6o3bob2obobob3o2b2o2b2o4bob2o2bo8b3o2b6o2bo2b2o2bo3bo4bob5o3bo3b5o3b
4obo2bobo3bob2obo3bo5bobo3bob2o4b2o2bob2o3b3ob3ob2o3b3obob4o2bo2bo8bo
bobob5obob3obob2o2b3o3b2o2bob3obobob5ob2obo5b4obo3bobobo3b7ob2o2bo5b2o
b5o2b2o6b2o2b2ob3o$3ob2obobo2b3ob3o2bo3b2o3bo2b2o2bob5o2bo2bobob2obo5b
o3bo4bob3obob2o2b2o3bo2bo2bo3bob3o4bob4obo4bo3bob2ob2o2b4ob2o2bo4bo2b
o5bo2b3obobob4o2bobob2o2b3o2b2o3bob2o2bo3bob2o2b3obo2b4ob2o2b4obob5o2b
o6b2ob2ob3ob3ob2obobo4b2o6bobobo2bob5obo4b2o5bob2ob9o9b5o3b2o2b3o2bo3b
o$5ob2obob2obo4bo2bob3o3bob3obo2b2o2bob7ob3ob2obob2o3b3obob2o3bo2bo3b
7ob4ob4ob3ob2obo2b2ob4obo3bo3b2obo3b2ob3o3b2ob2o4b2obo2bob2ob3o2bob2o
b4ob2obobo3b4o4bo2bob8o2bo4b3obo2b2o3b2obob6ob2obo4b2ob4obo2b4o4b6obo
b2ob4o2bobo2bo2b2ob2obo2bobo2b3o2bo2b3ob3ob3obo3b3obob2ob2o2b2o$bo2b2o
4b2o2b2ob2obo2b6obob5obo2b3o2b4o2b2o2bo2bo4bob4o4bob4obob3obobo2b3o2b
ob4obob2o2b4o2b2ob5o3b2obo5b2o2b2ob3obobo2b2o3b3o2b8o6bo2b2obobobob2o
bo2bobo2b3obobo4bob9obobobo3bobo5b2o3b3o2b2o4b2obobo2bo2b2ob2obob3obo
2b2obo2bo2b2o2b2obo3bo2bob2o2bo2bo4bobo2bo5b4ob2o5b3obobo$o2bobo3bo3b
3obob2obobobobo4bo2bob2obobobob4ob2obo2b2obobo2b7obobob3obobob3o3b6ob
3obo4b4o2bo3bob2o2bobob4ob4o5bo2b2o3b2ob2o3bo2bobobo2b4o6bob2ob3o2bo2b
o3b2o2bo2bobo2bobo2b8obo2bobo4b2ob2o3b3o3bo2bo2b2obobo4b3ob2obo3b2o2b
2o4b2ob2obobo4bob3o4bo3b2ob3ob5o2bo2b2o7b4ob8o$bo2bo2bob7o4b2ob2o2bob
o5bo4bo2bob2o2b2o3bob2ob2o4b5obo2b2o2bobo2b2o3b3o2bo2bo6b3o3bob3obo2b
3o2bo2b4o4b5ob2o2b5obo2b3ob3ob2o5bobobob4obo3bob2o5bo6bo3bobo2b2obobo
5b4o2b2o2bo3bobobo4b3obo4bo3bo2b5ob3o3b2o2b3o3bo2b2o2b3obob2o2bo5bo2b
o2b2o2bo3bo2bo2bob2obo2bobobobo4bo$o2b2obo2b2o2bo2bo2b3obo2bob2o5b2o3b
4ob3obo2bobobo2bo2b3o2bob4o5bo4bo3b5ob2o2b2o2bob3o3b3ob2obo3b2o4b5obo
b4o6bo4bobobo2bo3bobob2o4b2o2b2o5bob2o2bob2obobo3b2o2bob4ob6o4bob7ob2o
bo2bo2bobo2b4o5bo2b8o2bobobo2bo4bo2b3o5b3o2bob2o3bo3b2o2bob7o3b2o3bo2b
obo2b2ob4ob2ob3o$4bob2o2bobo2b2o3bobob2obo5b4o2bo2b4ob2ob4o2b3o4bob7o
bobob3obo2bo3bo4b2obo2bo2b2o3b4o4b3o2bo5bob2o2bo3bo2b4ob7o2bobo4b2ob2o
b2ob5o2b3ob2obo2bobobo2b4o2b2o2b2o2bo2b5obob2ob3obo3bobo3bob3ob4o2bo4b
5ob2o2b2obo2b6ob3o2b2obo4bob2o2b2ob4obobobob2o2bob3ob3o3b2ob3ob4o3b3o
b3o$b3o3bo2bobob2o4b2o2b4obo6b3ob3ob2ob2o3bob2o3bob6o4bob4o7b2ob2o3b5o
b2obo5bo2b2obob2o4b3o2bo3bobo3bob4obobob3obob6ob2o2b3ob7o2b2obob2ob6o
b2ob2o3b3ob9o3bo2bob2o2bo3b5o3bo3b2o2b2o2b4obo3b3o3b2obo2bo2b4obobobo
3b2o3bo2b3o2bob2o3b2obobobo2bo4b2o2bobob3obobob5ob3o$4obo7b3o3b3obo2b
ob3ob3o2b6o2bob3o3b2ob2o2bob3ob3ob2ob3o2bobob3obo2bo3bobo2b5ob4ob2o2b
3obob3o2b2ob2ob3o3bo8b2o6b2ob2o4bob3o4b2o13b2obo3b2o5bob2o3bobo2b2ob6o
bob2obob4ob2o2bo3bob5o2b2o2b3o2bob3ob2o2bob3o2b2obob2obob4ob2obo4b3ob
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bo3bob2o2bo2bobo6bo4bo3bo2b2o3bo2b3o4bobobo2b3ob2o3b3ob5ob8obob12o2b2o
3bo2b2o2bo3bo6b4obo2bob3o2bo3b2o2b8o3bobo2b4ob2o3bobob2o5b3o4bobo3bob
3o2bobob3o2bo2bo2b2o3bob4o2b3o2b4o2bobob2ob2o3bo2b2ob4o2b2o2b2o2bo4bo
4b2obob4o3b2obob2obo2b2ob2o3bob3obo2b6o2bob4ob2o$b2ob3o3bobo6b2o2b3ob
o2b2o4bo4bo2bob2o4bob2ob3o2b2o3bo3b2ob3ob3obob5ob4o6bo5bo2b5o9b4o3bob
4ob4obo3bobo4b2ob3o5b2ob2o3bo2bob3o2bobo2b4o2b2ob2obobobobo2bo6b2obob
o5bo2b4obobobobobobob5o2bo2b3o2b2o3b2o2b3o5b2o2bo4b2ob4ob3o4bo6b2o2bo
4bo6bo3bo5b2obo3b4o$2o2b2obo2bo2b4obobo3b7o4bob2o3b3obobo2bobo2b9o2bo
3b2ob2o2b2o3b2obo2b2ob3ob3o2b2o2bo2b2o2bobob3o3b4ob4ob3o2bo2b2o4b4obo
2bo3bobo2b2ob5o2bob3obo4bobobo2bo4b3o2bo2b3ob2ob2obo4bob4ob2o2b3obobo
b4ob5o3b6o2b2obobo2b7ob2o3bob3ob3o4bob2o2bobob7ob2o2b3o4bobobob3o2bo2b
o2b4obobo$obobo2bo2b3o3b2ob2o3b2o2bobobo2b4ob2ob9obo3b3o6bob3ob3ob2o2b
3o2b3obo2b3obo8b5o2bobo2b3ob2o3b3ob2obob5o2bo8bob3o2bo3bo2b3o4b3ob3o2b
o2b4o2b3o2bob6o2bo2bo3b2ob5o3bobob2o2bo6bo2b5o2bobobob2ob3o3b6o2b4obo
3b2o2b2o2bob2o5b5ob4obo2bobo7bo5b3o3bo2b2ob2o3bobo$5obob2o6b4ob3obobo
b6ob2o4b4obob2o6bo2b2o4b2o3b5obo2bobo2b2o5bo3b2ob2obobob2o3bo3b3o2bob
o2bob2ob2ob2o2bo2bo2b3o8bo2bo2bo2b2o2bobo2bo2bob4obobobo4bo3b4o3bob2o
b2ob2ob2ob2o3b2o3b2obob3ob3o2bobo3b2ob2obo2b2o3bob4ob3ob2obobob2o3b3o
b3ob4ob2o4bobobo3b2o4b2o3b2o3b3obo3bob6ob2o$obobo4bo2bo2bo4bo2bobobo4b
2ob2o3bobo2bo3bobobo2b2obo3b3ob2obob5o4bob5obobob2obob5o4bo2bobo2b2o3b
obo2b2o2b3o2b3obo2b2obo2bob3ob2o2bob2o2bobobo2bo2bo2bobob2obobo2bobo2b
o4b2obo5b2o2b3ob5obo2bob3ob3o5bo2bo2bobo2bo6bo2bob4ob2obo2bo2b2obobob
o2bo4b2ob2obo2b2ob3o4bob3obo3bobo3bob5o3bo4bo2bobo$2bo10b3obob2o2bo3b
o2bobob3obob2o2b2o2bo3bo4b4o2b2ob3obo2bobob6obo2bo3b3o2b3o4b2o4b3obo3b
o4bo4b3ob9ob5obo5b2o5bobo2bo3b2obo2bo3bob5o2b3o3b2o3bobo2b2o2b2obo4b2o
3bob2o6b2o3b3o3bo2b5obo2b6obob2obo2b3o2bobo3b4o2b6ob2ob3o2bob12obobo2b
ob2o4b3o5bobob2o2b2o$o3b3o4b3ob2o2b3obo3bobobo2bo5b2o2b2o4b6o3bob2ob4o
b2obo2b3ob2obob5o2b3obo7b3o2bo4b2o2bo2bo2b2o5bo4bo5b2obo4b2o2bo2bo2bo
bo3bo3bo2bobo2b2o2b5ob6ob6o2b5o5bo2b4obob2obo2bo2bobo5bobo3bob3o7bo4b
2obo4b5o3bobo3bo2b4o3bob2o2b4o3bob6obo2b2o2b3ob2o2bobob3obobo3bo$2b2o
3b2o4b2obo2bo4bo7bo6bo2b3obobobob2ob2ob2o2b2o2b7obo2bobo2b2ob4o3bob4o
3bob2o2bo4bob4ob5ob2obobo5b4obo2b3o5b2o2bobo3b5o3b3ob2obo3b3o2bo2b2ob
obob2o3b6obob3o3b5obob2o2b4o3bobo2b2o2bob2o3b3o2bo2b3o3bobob2o3bobobo
3bob2obobo3b2obo2bo2b2o4bo2b3o4b3o2bob4o3bob2o2b2obo2bo$b2o6b2ob2o2bo
b2o3bo2bobo6b2o2b2o7bo3bo2b3o2b2o2bob9ob3o2b4o2b2o2b3o2b4obob2o2b2o7b
ob2ob3o2bobobo3bob3o2b4ob3obo2bobo4b3obob3o2bo2b2ob2o2b5obob4ob7ob2ob
o2bo4b4ob2o2bobo10b5o2b3ob2o3bob5o2bo2bob2o2bobobo2b5o7b3o2bo6bo2b2ob
o2b2o2bo3bo8bobo2bobobo2b2ob2o2bo$bob2obob2o3bob2ob2o5b2obo3b2o2b2obo
bob4ob2ob4ob2o2bobobob2o2bobo2bo6b3o2b3o2b2o4bo2b2ob5o2b4ob2ob2obobo2b
2o3b2obo3b2ob3o2b2obo3b2obo3b6o3bo3bo2bobo2bobob2ob2obob3obobo2bo2bob
3o2bob2o2bob2o3b2ob6ob2o4b3ob2o2bobobob2ob2ob6o2bobo2b3ob2o2bobob2o5b
obo3bob2ob2o2bo2b2ob4o4b2obo3bo3bob2obob2o2bo$b3obobob2o3b3ob2o2b5ob2o
b2obo2b2ob4ob6o3b3ob3ob5o2bo2b2ob4ob2o4bobo3bobobob4o2b3o5b2obobo2b3o
2bobo2b2obob7ob2ob3ob2o2bo2bobo2b4obo2bo2b2o2bobo2b3obobo3b3obobob6ob
o3bo3bo3b6obobo2bobobo3bo4b3o5bo6bobobobob4ob3o3bo2bo3bo2bo2bob4o2bob
4ob3o2b7obo4b4o2b3o2b2ob2o2b5o$o3b2obob3o2bo3b2o3bobob3o2b2obob3o2bo2b
obob2o2bo6b2o2bo3bobobo3bob3ob2o3bo2b4o2bo2bobo2bob2o6bob4ob3obobo2bo
bo3bobo2bo2b2ob3ob4ob3o3bob2o2bo2b2ob2ob3obobo3b4o2b2obo5b2obo2bob3o2b
2o3b2obob6o2b3ob2o2b3ob2obo2bo2b2ob2ob3ob2o2bobo2b2obo6bo7bobob5o4bo2b
2ob4ob2obo2bob4obobo3b2obo3b4obo$5bobo2b2ob3o2b7obo2b3o2b3ob2obo3b3ob
2o2b2obo2bob3ob2o2bobo2b2o2bo3b5o3b2o2bo4b4o3b3o9bobo4bobob7obo12b3ob
ob3o2b2o2b3o5bob2o3bob2o2b5o2bo3b3o2bo4b3o2b4obobobob2obo3bo2bob2o3b2o
bob4o2b2o2b3ob3o3bobo4bob2obobobo3b5ob8o2b3obob3o4b2ob2o2bo3bob2o2bo5b
2ob2ob4o$2bo6bobo2bo2b3obo8b2obo3b2o2bob2ob2ob2ob2o2b3ob6obob2o3b3o4b
2o2bo2b2ob2ob3o2bo3b2obo2bo4bob5ob2obobob3ob6obo4b2ob3o2bob3o4bo2bobo
b2ob4obo2bob2obo3b2ob2obo2bo2bo3b2obo2b2obob2o2bob2o4bobo7bob2obo5bob
4ob2o2b2obobobob2obo2b3ob2o4bo2b2ob2ob5o6bobob3o3bo3b3ob4obobo4b5o2b2o
b2o$2b5ob3obob2o4b2o3b2obo2bobobo2bo3b2obobobob2ob2o2bob4o5bo3b3ob2ob
3obo3b3o2b2o2b2o5bo9bobobo4b2o3b3o4b2ob3o4bobo2b3o3b2obob2obo2b2o4b4o
bo3b3ob2obo5b2o2b3o5bo2b2ob3o2b4o2bob2ob3obo2b2o3b3ob3ob5ob2o3bo6bo2b
3o2b3ob2obob2o2bo2b2obo3bo4bo5bob2o2bobo2b4ob2o2bo4b2o2bo3bobo$bob3ob
ob2o2bo3b6ob2obo2bobob6o5b2ob2o2b2obo4b3o2bob2obo2bo2bo2b5ob2o2bo4bo3b
3ob2o2bo2b2ob2obo3b2o3bobob2o2bobob3ob3o3bo2b2ob2obo2b3obo7bob13ob2ob
4obo2bobobob2o4b2obo4b2o6bo2b3ob2obobo5b4o2bo3bo2bob8o2bo7bo2b3o4b2ob
4obobobo5b3o2b2o2bob2ob2obob2o3bo2bo2bob4obo3b2o$2o4b4obobo2b3ob10ob2o
3b2obo2bobo2b7o2bo2b2o3bob3o2b4o4bo3b2obo3b3o2b8o2b13obo2bo2b2o4b2ob6o
3b3ob4ob2o4b3o3bo2b2obo2b3o2b2obob2o2b2obo2bobo3b3o2b2ob2ob3o3bo2b3o4b
3o2bo3b4o3bo2b3obob3o3bo3b2ob2obobob2o2bob4obob3o2bob2obo2b3o2bob4obo
b4obob3o2b2ob2o2bobobob2obobob2o$o5bobo4bobobo4bobob2o2bob2obo4b2o2b4o
b3obob3obo3bo2bob2ob2ob2o2b3o4bobobo3b5o2bob4ob2obob2ob3o2bob2o3bo3b6o
3b3o2b7o4b2ob5ob2obobo4bo4b4o2bobob2ob2o5b2obobobo2b2ob4ob5ob2o2b5o2b
5obo2b3obob2ob2o5bo2b3ob3ob4o2bobo3b2o2bo2b3ob2o2b2ob2obob3o2bobo3bob
ob2ob2obo5b2ob4o3bob2o$2b2ob2ob3o3b2ob2o4bo2b2o3bob2o2b2ob2o2bo4bob3o
3bo4b3o5bo3b2ob2obob6o5b2ob2ob7ob2o2b3obobo4bobobo2bobo8b3o3b2ob3ob14o
2bobobo3b2ob4ob4obo5bobobobo4bo3bob2o2b2obobo2bo2b3o2bob3obo3b2ob3o2b
4ob4o2b3o3bobo2b3o2bobob2o2b3o4bo2b2ob3obobobobo3b4obob2obob3o3bob2o3b
o4bo2bo$o2bo2b2obobo2bobo2b2o3b4o2b3obobob6o3bob5ob3ob4obobo2b3o3b3ob
obobo2bo2b3obo4b2ob4obo2bobobobo3b5obo2b2o2b3o3b5o4bo2bobobob6ob2ob2o
b4obob3ob3ob2o8bobobo4b2obo2b2obo3bo3bob3obob2o3bobo3bo2b3obo2b3obo2b
3ob2obo5bo3bo2b6o3bob5ob3ob2o5bo6b5obobo3b8o4b2obo6bo$2o2bo2bob2obo2b
2o3b5ob3o4b2o5b2obo2bob5ob2o2bob5ob2o2b3o2b2o2b2ob7obobobo5b3o5bo2b2o
b5o2b2o2b2ob2obob2ob2ob2ob2ob3o2b3o6bo3b5o2b2ob2o4bo3b2obobobo2bo7b3o
bo2b2obo2b2o2bob5o2bob2o3b2ob4o3bobo3bobo4b3o2b3o2bo12b2o2bobobobo2b4o
4bobob3o2b3o3b4o2b2ob2o5b3o2bo3bobob2o$2b7obobob3o3bo2bob2obobo5bob2o
3b2o2b6obo3b4o3b4obo2b4o3b3o3bo2bo3bo2b2o2bobob3obo2bob4ob5ob2o2bobob
2o3bobobob8obobo2b2obo2bo3b2o3bobob3o6b2o3b6obo2b2obobo5bob2ob2ob2ob3o
b2ob2o2bo2bo2b2obo2bo3b2obobo3b9obob4ob2obob3ob4o3b2ob3o2bo2b3ob2ob2o
2b2obobo10bob2obobo2bobo4bo$3bo2b2obobo3b4obob4ob2obob2o3b3obob2o9b2o
2bob5obo2bob2ob6ob2obo2b2obo2b2o8bo2b4ob2obo2b2o5b3obo2bobobob4o2b2ob
5ob4o2b2ob3ob2o3bobob2o3b7ob2ob3obob3o4b2o2bob2ob2o2b2ob4ob3ob2ob2o2b
obo2b2o3b4o4b2ob2obobob2o2bo2bob3o7bobobo2bob2obo2b3obobobo3bo2bob3o4b
3o3b2o3b5o2b3o2bobo$4b3ob5ob5o3bob2o2bob2o2bo2b2o2b2o3b4obo3b3o2bo7bo
3b4o4b4o4b3obo3b2ob2obobobob3obo3b2o3b2o3bobob2o2b2o3b7o2bo2b2ob3ob2o
3b2o4b2o2bob3ob6ob2ob4obo4bobob2o4bo2bob3obo3bob2o2bo4bob2ob3obobo4b3o
5bo2bobo2b2o2bo2b2ob4ob2o2bo5bo5bo2bobo2bo9b3o3bobo2bobobo7b8o$4bo3b2o
4b3o2b3ob2obob2ob2ob3o8b2ob2o3b3ob2o2bobo3b2ob4o2b3obobobo2b3ob3ob3o3b
2o2bob4ob3o6bob3ob2obob2o2b2o4b6o2b4o2b2o3b4o5b2o2bob3obo2b3ob3ob2o3b
o4b3o4bob3o3b2ob3o4b2o2b2ob3o3bobo4b2obob2o2bob4obob4obobo2bob3obo2bo
2b3obobo2bobo3bobo3bobo2b3o2b2obo2b2o4bo6bo3b2ob3o$2bo6b2o7b3obob3obo
bob2obo6b9obobo2bob2o3bo3b3o3bo5bobo5bo2bo2bobo3bo2b2o6bo2bobo2b2obo2b
ob2o3bob6obobo2bo5bob7obo2bob3obo2bob5obob2o3b3o2b2o4bob3obobobobobo7b
2o2bobo2b4ob2o5bo2b2ob2ob2ob2obob2o3bobo3bo2b10o2b4obobo2bob3obo7b2ob
o2bo2bo3bo2b2obobobo2bo2b2ob5o$2b4ob2o2bo3bo2b2ob4obobobob3o2b2o5bob2o
5b5obo2b2obobobobobo2bo3bo2bo2b2obo2bo2b6o2bobo2b2o5bo5bo2b3obobo3bob
2o2bobo3bob4o3b4o2b2ob2ob3ob2o3bob3o2b2ob4o2bob3o2b4ob2o2bo2b3o3bobob
2o3b3obobo3bo2bo2b2o4b2o3bob3ob3o5b3ob2ob3obo2b2o3bo2bo3b4o7b2ob3o3b4o
2b2obobo4b6o3b2obo3b2o$3o2b6obo2bo7bobob2o2bobobo4bo2b2o5bob5ob4o2bob
o2b2ob3o6bo2bobob4o2bob2obobo3bobobobo7b3ob2obobo3b4obo2b6o2bo3bo2bob
o2bo2bo3bo4b2ob2o2bo3bob3ob2o4bob10o4b2ob6obob2ob5obob2ob3o2bo2b6ob3o
2b3o4bo2b3o4bob5ob2o3bo2b3o3bo3b2o3b3ob3o5bo5b2o2b4o4b6o2b2obo$b4o4b3o
2b2o4b5ob2o5bo5bo2bo2b3obob2o2b2ob2o4bob2obo2b2obo2b3obo2b2obob3obob2o
3bob2o4b3o3bo2bob14obob2ob2ob2o5bobo2b3o4bob2ob3ob2o9bo4bo2bo3b3o2bo3b
o2b2obob3obobobo3bob2o2bobo7b3ob2ob3ob4ob2o3b2ob2o2b2o2bo2b3ob2o4b7ob
ob2o3bobo3b6obobob3o6b2o6bo3b5o2b2o$bo2bo3b2ob3ob2o3b10o2b6o3b2obobo4b
2obob2ob2o2bobo8b2ob2obo2bo2bo3b2obo6bobo5b4obobobo2b4o4b2obob2obobo2b
2o3b2ob2o3b2obob2o3b2o3b2obo5b2o3bo2bo2b2ob4o2bo3bobob2o4bobobo2b3o2b
3o3b7ob2o2bo6bobo2bo4bobo4bob3o2b3obo2bo3b5o2bobobo3b2obob3ob3o2bob5o
6bo3b2obo2bobo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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User avatar
NimbleRogue
Posts: 538
Joined: January 11th, 2021, 11:48 pm

Re: Rules with interesting dynamics

Post by NimbleRogue » February 15th, 2024, 5:40 pm

This is one of the most astonishing ships I've ever seen. I'm still struggling to grasp how this isn't an oscillator

Code: Select all

x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!
Here's the pop-plot
Attachments
Crazy ship.png
Crazy ship.png (16.2 KiB) Viewed 931 times

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

AlbertArmStain
Posts: 1274
Joined: January 28th, 2022, 7:18 pm
Location: Planet Z

Re: Rules with interesting dynamics

Post by AlbertArmStain » February 15th, 2024, 6:24 pm

Here's an interesting circuitry rule I found while rulegolfing (this is the minrule):

Code: Select all

x = 45, y = 17, rule = B2cek3aej4aj/S1e2eik3ekry4jz5r
6bo$8bo$18o26bo$o16bo3b10o13bo$o16bo3bo8bo3b11o$o16bo3bo8bo3bo$o16bo3b
o8bo3bo2bo$o16bo3bo8bo3bo2bo$o16bo3bo8bo3bo$o16bo3bo8bo3bo$o16bo3bo8b
o3bo$18o3bo8bo3bo$30bo3bo$24b7o3b3o2$25bo$25bo!
Sadly, it's not very good for self-construction.
this is what it was originally derived from:

Code: Select all

x = 37, y = 23, rule = B2cek3aej4aijr5c/S2eik3eknry4ijrwz5r
10bo$12bo$12o$o11bo3b7o3b10o$o11bo3bo5bo3bo8bo$o11bo3bo5bo3bo8bo$o11b
o3bo5bo3bo8bo$o11bo3bo5bo3bo4b5o$13o3b3o3bo3bo4bo$16bobo3bo3bo4bo$16b
3o3bo3bo4bo$22bo3bo4b6o$13b10o3b5o5bo$13bo16bo5bo$13bo16bo5bo$11b3o16b
o5bo$11bobo4b5o7bo5bo$11b3o4bo3bo7bo5bo$18bo3bo7bo5bo$18bo3bo7bo5bo$18b
o3b9o5bo$18bo17bo$18b19o!

User avatar
breaker's glider gun
Posts: 673
Joined: May 23rd, 2021, 10:26 am
Location: the inside of a stuffed anaconda or maybe [click to not expand]

Re: Rules with interesting dynamics

Post by breaker's glider gun » February 15th, 2024, 8:19 pm

AlbertArmStain wrote: this is what it was originally derived from:

Code: Select all

x = 37, y = 23, rule = B2cek3aej4aijr5c/S2eik3eknry4ijrwz5r
10bo$12bo$12o$o11bo3b7o3b10o$o11bo3bo5bo3bo8bo$o11bo3bo5bo3bo8bo$o11b
o3bo5bo3bo8bo$o11bo3bo5bo3bo4b5o$13o3b3o3bo3bo4bo$16bobo3bo3bo4bo$16b
3o3bo3bo4bo$22bo3bo4b6o$13b10o3b5o5bo$13bo16bo5bo$13bo16bo5bo$11b3o16b
o5bo$11bobo4b5o7bo5bo$11b3o4bo3bo7bo5bo$18bo3bo7bo5bo$18bo3bo7bo5bo$18b
o3b9o5bo$18bo17bo$18b19o!
some development on this might be interesting...

Code: Select all

x = 36, y = 60, rule = B2cek3aej4aijr5c/S2eik3eknry4ijrwz5r
32b4o$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo
$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo
2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$32bo2bo$3o29bo2bo$obo29bo2bo$33o2b
o$35bo$7bo27bo$6bobo26bo$6bobo26bo$6bobo26bo$6b3o26bo$35bo$35bo$35bo$
27b3o5bo$27bobo5bo$27b3o5bo$27bo7bo$27bo7bo$6b18o3bo7bo$6bo16bo3bo7bo
$6bo16bo3bo7bo$6bo16bo3b9o$6bo12b5o$6bo12bo$6bo12bo$6bo12bo$6bo12b6o$
6bo17bo$6bo17bo$6bo17bo$6bo17bo$6bo17b2o$6bo17bo$6bo17bobo$6bo17bo$6b
o17bo$6bo17bo$6b19o!
EDIT: cool!

Code: Select all

x = 30, y = 74, rule = B2cek3aej4aijr5c/S2eik3eknry4ijrwz5r
26b3o$26bobo$26bobo$26bobo$26b3o2$13b17o$13bo13bobo$13bo13b3o$13bo$13b
o$13bo$13bo$13bo$13bo12b4o$13bo12bo2bo$13bo12bo2bo$13bo12bo2bo$13bo12b
o2bo$13bo12bo2bo$13b14o2bo$15bo5bo7bo$17bo5bo5bo$29bo$29bo$29bo$29bo$
29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo
$29bo$29bo$29bo$29bo$29bo$29bo$29bo$29bo$21b3o5bo$21bobo5bo$21b3o5bo$
21bo7bo$21bo7bo$18o3bo7bo$o16bo3bo7bo$o16bo3bo7bo$o16bo3b9o$o12b5o$o12b
o$o12bo3bo$o12bobo$o12b6o$o17bo$o17bo$o17bo$o17bo$o17bo$o17bo$o17bo$o
17bo$o17bo$o17bo$19o!
:?: :?: . . . :!:
Give me a suggestion of something to draw here!

User avatar
hotcrystal0
Posts: 2246
Joined: July 3rd, 2020, 5:32 pm
Location: United States

Re: Rules with interesting dynamics

Post by hotcrystal0 » February 22nd, 2024, 9:36 am

This rule is Life, but with background B1c “noise”:

Code: Select all

x = 76, y = 54, rule = R2,C2,S34-67,102-135,170-203,255-271,B17,51-67,119-135,187-203,255-271,NW01010101010111551101015500550101115511010101010101:T100,100
o8$49b2o$48bobo$50bo3$21b2o2b2o2b2o2b2o2b2o$21b2o2b2o2b2o2b2o2b2o3$21b
2o14b2o$21b2o14b2o$29bo2$21b2o14b2o$21b2o14b2o3$21b2o14b2o$21b2o14b2o
3$21b2o2b2o2b2o2b2o2b2o$21b2o2b2o2b2o2b2o2b2o$49bo8b2o5b2o$49bo7bo7b2o
$49bo10bo6b2o$58b2o7b2o7$58bo7bo7bo$50b2o5bobo5bobo5bobo$50b2o6bo7b2o
5bobo$74bo4$67bo$53b2o8bob3o$52bobo8b2o$52bo13b2o$51b2o10b3obo$63bo!
Some of the basic mechanics of the rule:
Still lives can act like “air pockets”;
Some oscillators can do so too, but may work only on certain spacings?
The noise can be trapped be still lives;

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » February 22nd, 2024, 11:25 am

Seems i have too much interesting rules to share them one by one, so i put them in the "interesting dynamics" section in User:Iddi01/CA_discovery list
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
confocaloid
Posts: 3058
Joined: February 8th, 2022, 3:15 pm

Re: Rules with interesting dynamics

Post by confocaloid » February 22nd, 2024, 6:57 pm

iddi01 wrote:
February 22nd, 2024, 11:25 am
Seems i have too much interesting rules to share them one by one, so i put them in the "interesting dynamics" section in User:Iddi01/CA_discovery list
Some people make a single forum thread to post their explorations in different rules.

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » February 24th, 2024, 6:16 am

Preblocks forms in the aperiodic agar, which can't escape from domination of preblocks crystals:

Code: Select all

x = 64, y = 64, rule = B2ae/S12:T100,100
o3b4o3bobo3b2obo5b4o3bob6o2bob2o2bobo3b2o4b3o$bobo4b2ob2o3bob3obo2b4o
b2obobob2o4b3ob2o2b3obobo4b2o$2ob2o2bobo2bob4o3b4o3bobobobo2b3o3bobo4b
o3b2ob2o3bo$2ob2obo3b2ob3o2b2obob4obo2b6obo5bobo2bob2o2bo4b2o$obo4bob
obo4b2o3b3ob2o2bo4bob3obo2b3o6b2ob2obo2bo$bob3o2b2o3b4o2b3o2b3o4b3ob2o
2bobo8b3obob4obo$bo3bob3ob5o2bo2bobo3b2obobo3b3obobobo6bo3b2ob2o3bo$b
2obo2b3ob2o2b2ob3ob3ob4o2bobo5bob3obo2b5o4b3obo$b3obobo2b2o2b2obobo3b
5obobobo3bob3o2b4o2b2obob2obob3o$b4ob2obob2o2b3obob5o2b3ob4o4b5ob2o3b
2obob2o2b3o$bo2b5obob2o2bo2bobo2bo2bob2o2b4o2b2ob3o3b3obobobob2o3bo$o
2b2o3bobobo2b2o2b2ob4obob2o3b2obo4b3ob2ob2obo2b3o4bo$b2ob3ob2o2b3o5b2o
4b4ob2ob4o2bo2bobob2obo2b2o6bo$3bo4bob2o3bob3ob5o4b2o3b4o2bo8b3o2b2o$
obob12obob3o2b2o3b2o8bo3bo2b2obo2b2o2bob2o$2bo3bob3o2bo4b2o3b2o2bo2bo
8b3o5bob6o2bo3b3o$3o2b2ob4obo2bo2bob2o2b4obobo2b3o2bo2b6o2bob2ob2ob3o
$2bobo2bobo2bob2obo6bo2b3obo2b3obob3obobobobo4bob4o2bo$8o2b2o2bobo4bo
2b3ob2obo4bo2b2ob4o2b3ob2o5b5o$o4b7o3b2ob2o2bob2ob2o2b2o4bobo3bobob4o
bobo2b2ob4o$b4o5bob3obo2bo3bobobob2obob7o3b3ob2o3b3o2bo2b3o$2b4o2b2o3b
obo2b4o2b7obob2obo2b6o2bo2b2o2b4o2bo$b3o6b3o2b2obobo3bobob3o2bo4b2o2b
2o3bo5bob2o3b2obo$9b3obobo2b3ob2obob2o2bobo3b2o2b3o4bo2bobo4bobobo$2b
3ob2o2bo2bo3b2o2bo3b3obobob3o2b3o3b2ob3obobo7bobo$3b3o2bo2bo2b2ob2ob2o
bob3o3bo2b2o2b2obob4obob3obob2o2b2obo$2b5o6bobo5bobob2o2bo8b2ob6ob5o3b
2obob2o$3o3b4obo2bo3bob3obo5bob3o3b2ob2obobo2b4o3bo2bobo$ob2o5bob2obo
bob4ob5obobo2bo2bo2bobo2b2o3b2obo2bo4b3o$5ob2obo4b3o2b2o2b2ob6ob3o2bo
b2ob2ob2obo3bo3b3o3bo$3bo3b3obo2b2obobo2bobobo3b2o2bo3b3o2bob4obob3o2b
2obo$bo2b4obo2bo2bo4b3o3bo2bobo3bo2bob2obo3bo2bob2obob2obobo$2ob2ob2o
2bo2bo5b4o2b2o2b2o2bob6o3bob2o5bo4b3ob2o$b4o2b4o2bob3ob2o3bo4b5o4bobo
bo5b2o3b6o2bo$b2o2b4o4bobo2bobo2b5obo3b5o6bo2b2o2b3o4bobo2bo$b4obo4b7o
8b3ob2obob3ob3obo2b6o2b4ob3o$2bo3b4obobob8obo3bobobo4b2ob4obob3o2b5o6b
o$o3b4o4bob3obo4b3ob3o4b3o3b2obo5bob2o2b3ob3obo$2ob2o2b3o2bo2bob3ob3o
bo2bobobo5bo3bob2o2b2o2bobo2b2o2bo$5bobo7b7o3bob2obo3b2o5bo3bo3bo2bob
2o2b2o3bo$2bo2b4obob2ob4ob2o7b2o2bo7bo2bo2b3obo3b3ob2o$o4b3ob2ob2o2b4o
2b3o4bo3b6o2b2o2bobob2o2b5obob3o$ob3o2b3o3bob3o2b2o4b6ob2o3b2ob2o4bo2b
2obo5bobo$4bo2bo5b4o2b2ob2o2bo3b2ob3o2b2o6b3ob2ob6o2b3o$obo2bo3b2o9b2o
bob3o3b3obobobob2o2bo2bo3b2o2b2o2b2o$2obo3bo5bob2ob2ob2ob2ob2obobobo2b
o2b4ob8o3bobo2b3o$b3o2bo3bo2b5obobobob3o6b2o2bobo2bob3ob2o6b4ob2o$b2o
2bobo2bobo2bob4o4b5ob8o2bobo2b2o4bo2bo2b2o2bo$bobo2b3ob7o2b3ob6o2b2ob
ob2o2bobob2obo2b4obob3ob2o$obobobo3b2ob4o2b2obobob4obo2bob10o3bobo3bo
2bo4bo$3b2o2bob2o4b5o3bobo2b3obo4b2o6bo3bobob2o6bo$bob2o7b3obobo3bo3b
3o2bo2b2o3b4obobob2ob2o3bob3o$b2o4b3obob2o7bo3b2o2bo2b7ob5o5bob2o2bob
o2b2o$2b2o2bobob2o3bob4o4b2o2bo3bo2b3obo3bob7o5b6o$5ob2ob2o3b4o3bo4bo
2bobob2o2b2o5bobob2o3bob4obob2o$ob2obo2b6obobo2bo2bobob4ob2ob2obobob3o
3bob3obob2obo3bo$2bo2bo2b4ob3o4b2ob3o8bo2bo2bo2b11ob2o2bo$obob5obobob
o5bobobob8obo3bob2obob2ob2o2bo3bobob3o$2bo2b3obo2b3o2bobob3o2b2ob4obo
2bo2bo3b3o2bo2bo3b2ob2obo$b2o3bobobobobo3bo3b4obobob2ob2ob3o2bo2bob3o
bo5b2ob2obo$3ob2o2bo3bobo2bobobobobob3o2bobob4o2bo2bobob5o3b4o2bo$bob
obo2bobobob4o3b3obob3ob2obob2ob4o5bob4o2b3o2b2o$2ob2ob2o3bo3b3o4bobob
3o2bob2o6bob3obo4bo3b2ob3obo$ob2ob2obob12o2bob2obobo3bob2o2b3ob8o3bob
o3b2o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

-

100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

-

Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » February 26th, 2024, 6:18 am

Macbi wrote:
SuperSupermario24 wrote:Can't forget the anti-tub rule (TRYPOPHOBIACS BEWARE):

Code: Select all

x = 16, y = 17, rule = B36-c7c8/S134cijkrw5-aej6-a7
3b2o2bo$2bob2ob2o3bo$o3b2o3b5o$14o$7ob4obo$4b2obob3o$b2o2b2ob5obo$5b6o
2bo$4b2ob4obo$4bobob4ob2o$4b2ob2ob2o2b2o$3b5obobo$3b6ob3o$4bo2b4obo$7b
3obo$9b2o$9b2o!
A similar thing happens in B35678/S01234567

Code: Select all

x = 16, y = 16, rule = B35678/S01234567
b2ob2obo2b4o$7bo6b2o$b4ob2ob3o2bo$o3bobo3bo2b3o$o3bo2bo2b2obo$obo2bo2b
o2bo3bo$2b7obo4bo$2b3o2b2obob3o$2b2o4b3o2bo$bobo4bob3ob2o$2b3o2b5ob3o$
3b5obob2obo$2o2bob2o2b5o$4o3b2obob2obo$o2bo4b2o2b2o$bob2obob2o!
Inspired by those two, i have decided to create a rule where PTLs (Pre Traffic lights) are permanent.

After i'm done, i searched in the rulespace for something interesting, and i got this:

1. This is one of the slowest exploding rules ever discovered.
2. It builds city-like structures with lakes in the middle. (as in real life cities and lakes, as seen in a satellite image)
3. The t-ship works, and there are guns and reflectors for it.
4. There are multiple types of failed wickstrechers (and possibly non-failed ones).

I put this at high speed so you can actually see the growth:

Code: Select all

x = 31, y = 9, rule = B35i/S23-acny4eijkrw5-aeij6-a7
5bo$5bo$3b5o19b4o$3o2bo22bobo$obo2bo22b3o$3o2bo$5bo$5bo$5bo!
#C  [[ STEP 32 ]]
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » February 28th, 2024, 7:28 am

I decide to make another constructional CA, but I'm not finished:

Code: Select all

x = 34, y = 3, rule = 01e2ik3ery4ejt/2eci3ae4a/3
.BA5.BA3.BA5.BA5.BA$34A$2.BA4.BA3.BA4.BA6.BA!
I hope that 3-state INT will fix it.
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

-

100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

-

Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

User avatar
NimbleRogue
Posts: 538
Joined: January 11th, 2021, 11:48 pm

Re: Rules with interesting dynamics

Post by NimbleRogue » February 28th, 2024, 7:46 pm

iddi01 wrote:
February 26th, 2024, 6:18 am
Inspired by those two, i have decided to create a rule where PTLs (Pre Traffic lights) are permanent.
In this version, they can sometimes die, but it is very hard for them to, can someone find a ship in this rule or a related one based around a string of pre-traffic lights?

Code: Select all

x = 10, y = 4, rule = B35i/S23-acny4eijkrw5-aeij6-a7e
7bo$9o$obobobob2o$9o!
Here is a p177 showing the possibilities

Code: Select all

x = 12, y = 5, rule = B35i/S23-acny4eijkrw5-aeij6-a7e
b2ob4ob3o$b9obo$2obobobob3o$b9obo$b2ob4ob3o!
Edit 1:
A 2c/57o,2c/113o,2c/139o, 2c/172o, that has a crazy oscillator front tagalong,4c/187o, and a whopping 22c/11003o,

Code: Select all

x = 127, y = 29, rule = B2n3-cey4ewz5ciy6kn7e/S2-c3eijk4eijrw5-ij6-e7e
5o15b5o16b3o17bobo17b3o18bo3bo16bo$2ob2o16bobo17bobo17b3o17b3o17b7o14b
3o$b3o17b3o17b3o17bobo17bobo17bobobobo12bobobobo$2ob2o16bobo16b2ob2o
15b5o16b3o16b9o13b3o$5o16b3o17b3o17bobo16b2ob2o15bob2ob2obo13bobo$bobo
16b2ob2o15b2ob2o16b3o16b5o16bob3obo14b3o$b3o16b5o16b3o17bobo16bo3bo18b
obo16bobo$2bo17b2ob2o16bobo17b3o37bob3obo14b3o$21b3o17b3o17bobo37bobob
obo13b5o$21bobo17bobo16b5o36bob3obo$21b3o17b3o16bo3bo38bobo$20b2ob2o
15b2ob2o57b5o$20b5o15b5o57b2ob2o$20bo3bo15b2ob2o58b3o$41b3o37bobo19bob
o$40b2ob2o36b3o19b3o$40b5o36bobo19bobo$41bobo36b5o17b5o$41b3o37bobo18b
2ob2o$81b3o18b5o$81bobo18b2ob2o$81b3o18b5o$81bobo18b2ob2o$80b5o17b5o$
80bo3bo17b2ob2o$103b3o$103bobo$103b3o$104bo!
Lots of interesting solid parts to this ship

Code: Select all

x = 11, y = 7, rule = B2n3-ek4jy5ciy6n7c/S2-cn3-an4-aknqz5-aeij6-ae7e8
2bo$o$b10o$bobobobobo$b10o$o$2bo!
Edit 2: 6 speeds 2c/16o,2c/81o,2c/156o,2c/325o,2c/568o,12c/2991o

Code: Select all

x = 118, y = 19, rule = B3-k4ceyz5cik6n7e/S2-c3-anry4ceijkrw5-aik6-e7e8
bobo16b5o18b3o15bobo18bo29b5o$5o16bobo17b7o12b5o48b3o$2ob2o15b5o16bob
obobo12b2ob2o46bobobobo$b3o16b2ob2o15b9o11b5o48b3o$2ob2o15b5o35b2ob2o
16b3o29bobo$5o15b2ob2o36b3o16b2ob2o28b3o$2ob2o15b5o36bobo16b5o28bobo$
5o56b3o16b2ob2o28b3o$bobo57bobo16b5o28bobo$b3o57b3o17bobo29b3o$bobo56b
2ob2o15b5o28b3o$b3o57b3o16bobobo$2ob2o56bobo$b3o57b3o$2ob2o56bobo$2bo
57b5o$2bo57b2ob2o$61b3o$61b3o!
Edit 3: another ship in the first rule, no more in the second despite a double overnight search
Edit 4: A cool 14c/15041o

Code: Select all

x = 6, y = 5, rule = B3-cek4ejqyz5iky6k7/S2-c3eijkq4eijkrtw5-eij67e8
5bo$5o$obob2o$5o$5bo!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » March 4th, 2024, 3:36 am

Made diamoeba less stable:

Code: Select all

x = 162, y = 159, rule = B35678/S1e5-a678
5obob2ob2o4bo3b2ob2o3bo3b2obob3o3b5o2b3o4b3ob2o3b3o4bobo2b4o3bob3o4bo
2b3obobo3bo2b4ob5o2bob8o4bo2bo4bo2bob3obo3b2o$ob8o4b2o2bo2bobo2bob5ob
obobo4bo2b2obobobob2o2b2ob2o4bob6obob2ob2o2bo3bob2o2b2ob9o2b2ob4o4b2o
b8o2b3o2bo3b2ob3o4bo4bob2o$3o2b3ob3obo5b2ob2o2bobo8b2o2b2o2b2ob5ob6o2b
o2bo2bobob7o2bo2b7ob4o2bobob4o2b2obo2bo3b4o3b2obob2o5b2o4bo3b2o2b3o2b
o3b2o$2b2obo2bob4o3b2o2bo3b2ob5o2b5o3b2obob4o5b3o6bob2o2bob2obob7o5bo
b3o2b2ob2ob3obob4o6b2obo5bobob2o3bob2o2bo2bob3o2bobo$o2b2ob3obobo3bob
3obobo2bo2b2obob6o2b3o3b3ob4ob7o2bo5b2obob2ob2obo2b3o4bo6b2o2b3o2bo4b
4obo3bo2bob3ob4o2b3obob3ob2obo3bo2bobo$ob2obobo3b4obo3b3obobo2bob5o4b
obo2bob2ob6o4b6o3bo2bo2bo6bo4b2ob2ob2ob4o2b3o3bo3b4ob4obo2b4ob2o7b3ob
3ob2o2b2o2b3o2bo$2o3b4obob5ob3obo3b3o4b2ob6ob2o3b4obo2b3o2b2ob3ob7obo
2bob2o4bo3b2ob4ob3o2bob2o6bo3bo2bo3bo2b2obob4ob4obo3b2ob3o2bobobo$o2b
2ob3o4b3obob4o3bob6obo2b3o2b3o2b2obo2bob4ob4obob3obob2ob2o4b7o2bobo3b
o3bobob4ob2o3bob2o3bobo2bo3b9obo2b2obo2b3o3bobo$2bo2b4obo3b2obobob3o3b
o2b8obo2bo2b2o2bob4ob3ob5ob2obob2o4bo3b4obo2bo2b3o3b4o2b2o2bobo2b2obo
3bo3b2obobobobo3bob2o2b5o4bobobo3b2o$3bo3bo2b2o2b2o2bo7bob2ob2o3bo2b3o
b2o4b2ob3obob2obobob3ob2o2b3ob3ob2obo2b2ob5obo2bo6bo6b4ob2obob5ob5o2b
o2bo2bo2b2o4bob5o2bo$o2b2ob4ob4obo2b2o3bo5bo2bobob4o2bob3o2bobob6o3bo
3b3o2b7obobob3o2b2o2b4obo3bobob2ob3ob3obobobobo2bobo3b2obobobo2b2obob
o3b3o2b2ob2o$b4ob5obob2obobob3obo4bo3bo4bob3o3bob3ob4o2bobo3bobo2b4o3b
ob2o2bob2o4b3o4b2o2b4ob2ob2obob2obo2bo3b2ob4o2bo2b3o2b2o2bo2bobob2o3b
obo$3obo3b3o3b2o2bobo4b2obob3o7b4ob2o5bo3b4obo2bo2bo3b4o3bo2b2o3b5ob3o
2b3o4b2obob2ob3ob3ob3o2bo2bob2obo2bobobo3bobo2bobo5b5o$b6o2b3o2bobo2b
ob3o4bo2bobob5o2b2ob2ob3obobo2bo2b2obobo5bobo3bo2bob4o3b2obo3b3o2bo3b
2ob5obob2ob2obobob3ob2ob2ob3o2bobob2o2b3ob2o6bo$bobo3b3ob2obo2bob2o4b
2obob4obob2o2bobo2bobo3bo5b3o2b3obo2bob3o7b4ob4obo5bo3bo9bo3bob2obo2b
o2bob2ob3o2b3ob2o3bobo2b2o4bo$b2o3bo3bo3bo5b2ob2o3bob6ob2ob2o4b2ob2o4b
3obobo3bo2b2o2b2o9b2obobo5bob2ob3obo2b3obo3bobo3b2obo2b2o4bo3bob2ob2o
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ob2obob3o2b4ob2o2bo3bob3o2bo2b5ob2o4b3o2b4obobo2bobob3obo3bo5bo5bobob
o3bob3o9b3o3bob3o$b3o2b3o2bo2b2o3bobobob3o5b2o3b3o2bob6o2bo2bobo3bo2b
2o2b4ob2ob3o3b4o3b4o2b2obo5bo2b4obo3bo2b3o2b4obob2o3bo4b2ob3obo3bo2b2o
b2o$obob3o13bo2bo3b2ob3o2bo2b3obobobo2bo2bo2bobo3bo5bob4o3bob2obo2bob
o4bobob2ob12ob3ob2ob2ob2o4b2obo3b2o2b6o5b3ob2ob5o$bo2b2ob6ob2ob2obob3o
2b2ob2o2b2obo3b2obo4b3ob5o2bob5o2bobob2obo2bo3b2o6bobobo2bo3b4o3bo2bo
2b2o2bob4obobob4obobo2b2ob2o2b3o3bob4o2bo$o2bobo3bob2o3bob2ob2ob2o4bo
b4o2b2obob2o2bobo2b4o3b2ob4o3b4ob2o4bo2b2ob3o2bo10b4o3bob3o4b2ob5obo3b
obo2bobobo2b3ob2ob3ob3ob2o$b5ob6obo2bob4o4bo2bo2b7o2b2o2bo4b3o3bo2bo2b
ob2ob8o2b2o2bob3o3b2o3b3o3b2o4bobo3bo2b2obobo2bobob2o4b2obo3b2o6b2o5b
2o2b2o$bo3b2o2bo12bob2obob2ob3o5bob4obo4bob4o5b3ob2o5b2ob2ob4o2b2obob
2ob2o2bob3o2b8o2bo2bob2o2b6o2b2o2bobob4obo2b9o3b2o$b5o5b2obo5bo2bob2o
bo2b2o2b2obobo3bob4o2bo5b5obobob2obobobobob2obo3b3o3bo9b3obo3bo3bob3o
3bobobob2obobo2bob2o2bob4obobo3bo4bo$3obo4b6ob2ob2o5bo3bobob3o3b2ob2o
bo4bo2bob2ob5o2bob2o2bobobo2b6ob3obob2obob6o2bo6bo4b11ob3o3b2o3bobo4b
o3b5obob2o$3b2obobo2bobob2o3bobo3b2o3bo2bobob3o4b4o4bobob3ob2obobob3o
b6o5bob2ob3ob2obob2o2b3ob12ob3ob3o2bo3bob2o4bo2b4o2b2obo2bob3obo$2o2b
3ob4ob2obob3ob3ob4ob3o2bob2ob2o3b2o2b2o2bo7b6obob6obob6obob3o2b4o3bo5b
3o2bob4obo2bo4b2obob5o2bo3bobo5bo2b2ob5o$3bo2bob2o2bob2o3b2o2bo3b5o2b
o2bob2o6bo2bob2obo2b2o2bobob2ob3obobob4o2b2o2b2obob2o3bobo6bob2obo3b2o
2b4ob5o2b4obo2b2o3bobo2bobobobob2o2bo$b2obob2o4bo2bobo2b3obob2o2b2obo
4b2o3bo3b3obo2b2o4bo2b2obo2b3o2b6obo3bobobob2ob2o2bo2b2ob2ob2o2bob2o2b
2obo2bobobo3bobobo2b2ob3o2b2o2bobo3b2o3bo$4bo2b2obo3bo2b6ob5o2bo2bo3b
2obob6o4b2ob6o2bo2bo4b2o2b3ob3obo2b3obobob3obobo4b2o2bo2b3o3b2o3b4ob4o
2bobo3bobob4o2bobo3b2o2bo$2b2o2bo3b2o6bo2bo2bo3bo2b3ob2ob4o2bo2bo3b2o
2b3obo2bobo4bobobobob6o2b2o3b3obo4bo3b2o2bobobobo6b3obo2bo2b5o2b5o2bo
b2o3b3ob3o2b2o$b2obob8obobobo3bo4bobob3ob3o2b3o4b2o4bobob2ob2o2bo2bob
8o2b8o3b2o4bo2b3obo3b2o6b3o2b2obo3bo3bo2b2o2b2o11b2obob2o$2o5bo2bob3o
2b2obobo2bobo5b2o3b2o2b2ob2o2bob2ob2o2b2ob5o2b3o3bo4b2ob3obob3obob5o2b
o4b3o3bobob2o2bo2bobo2bo2bobo2b3o3bobo3b2o4b2o4b2o$bob3o2b5ob3ob2o2b5o
2bo3b2ob2obob7o4bob2obo2bo5bo3b2o2b2ob4o2b7ob3obobob4ob3o2b2o2bob2o2b
ob3o5bo2b2o3bo2bob4o2b2o2b2obob2o2bo$4ob5obo3bobo3b2obo8bo2b3obobob3o
2bobo2bobob4obo9bo2bobo2bobobobobo2bobo2bobo2bobo3bo2b2o2bo2bobobo2bo
4b2o3b2obo2bo2b2o2bo2b6obob2o$2o2b2ob2o3b2ob3o3b3o2bobo3bo2b3obo2bo6b
o2bobo2b3o5bobo3b2ob3obob2ob2ob3o5bobo2b2o3bo2bo2b4obobo2bo4bobobobo2b
2o2b5o3b11o2b3o$b5ob2o2bobobobo2bobo3bo5b4ob4obobo3bobobobob3o2bobob2o
b2obo4bo2b2o2b2ob7ob2o2bob2o2bo4b3obob3ob7ob2obobo2bobo2b2ob5obo2b5ob
4o$4o3b4ob3o3b3ob2obobob2o2bob3o4b3o3b2o2bo3b4ob3o2b2ob2ob2o4bob2obo3b
2obobob2o5b2o3bo3b2o3bo4bo5bo3bo3b2ob2obobobo8b2o2b2ob2o$obob2o4bo3bo
4bo3bo2b3o3bo2b4o3bobo2bo2bo2b2ob4ob5o2b2o2bo5bo3bob2obobo2bob2obo4bo
2b3o2bo2b5obo2b2o2bo4b3ob2ob2o2b2obob3o7bob3o$b5ob2o5b6o5b5o2b2ob2ob2o
4b4o4b2o2bo2b6o2b2ob2o5b4obo3bob4o2b4ob2o3bo4b2obo2bo2b2ob5ob3o3bob2o
2b2obo5bobo3bo5b2o$2b3obob3o3b3ob2ob3obo4bobobo2bobob2obo2b2ob2ob2ob2o
bo2b2ob3obob2obob2o2b3o2bo3b2o2bobo9bo2bo2bo2bo3bobo3bo5bo5b2ob2ob2o3b
o4bob4obo$b3obo2bob2ob2o2bob3o4b4o2b2obo3b2o2b2obo2b5o3b3o2b2ob2ob7o4b
obobobo2bob3o3bo2b2o2bo3b2o2bo2b3obobob3o4b2obo2bob3obobobo3bobobobob
o$3b3ob3o2b6o4bobobob3o3bobobobobobobo2b2ob2obo2bo2b2ob3obobob5o2bo3b
4o2b2obo2bo2bo2b2o4b6obo6b4ob4ob2o2bobo7bob3o3b3o$b3obo6b2ob8o4b5ob2o
2bo2b2ob3o4b5ob3obob2o2bo4bob2obo9b3obob3ob3o2bo2bob5obo8b3ob2obobobo
6bob3o2bob3ob3obo3b2o$4o3b2o2bo2bobobo2b2ob3o2b3o2b3o2b2o4bo2bobo4b5o
b6o3b2o7b2o3b3o2b3o2b3o3b3o2b3ob2obob8ob3ob2o4b5ob2obobobob2o3b3ob2ob
o$bob3o2bobobo2b2o2b3o2b3o7bo3bo2b2o2b2o4b2o5bo2b4o2b2o4b2o3bo2b3ob2o
3b2obo2b3o5b2obobo2b3ob2o2b2obo4b2obo2b6o5b4obo4b2o4bo$o3b3o3b2o2bo5b
obobobo3bobo2bob3obob2o4bo2b2obo3bo3bob4ob6obo3b3o3b2o5b2obo7bobob6ob
2ob3o4bob2o2bobobo3bo2bob2o3b2obobo2bo$o3b4obo6bo4b2o2b3o4bobo2bo2b5o
b3o2b2ob2obo3bobobobo3bo2bob3o2b4ob2o3bo3bob3o5bo2bo2bo3b5obo10b2o4b2o
b2o4b2obo5b4obo$2obo2bob2o2bo2bo5b2obob4o3b2obo2bo6b2o2b3ob2ob2o2b2o6b
2o2bob3o3b2obo2b2ob3obob3o2bo5bo2b2obob3o2bo2bobob2o3b3ob4o6b2o3b4obo
4bo$obobob2ob2o4bob4o2b2o2bo2b2ob2o2bobobo2b3ob2ob2obobo2b2o7b2o3bo4b
2o2bo2bobo4b5obo2bob2ob6o3bob6o6b4o3bob3ob6o2bo5b3obo$bo6b2obobo5bo3b
5obobobo2b3o2bob4ob3ob4obo2b7ob2obo2b3ob2ob3ob2o2b3o2bo6bo2b6ob2o2b2o
bobo2bobobobobo2bo2bobobo2bob2obo4b3obobo$bo2bo3b2o2bo5b3ob2o2bob2o2b
ob3o2b2obo2b2o2b2o2bo2b2o3bob8o2bo4bobo6b2o5bob2o2bobo4bobob4o2b3obob
2o4b2ob3o3b4o5bobo2bo6b3o$4o4bob3o2bo2b3o2bo2b2obo2b3ob3o2bo2b4o3bob2o
2bob3obob4o2bo3bob3ob5ob3o3b2o2bob2o4b2o2bobo2bobob4obobob2o2b2ob3o7b
3obo3bo4bo2b2o$2b2obob2ob4obo5b3o2b2o2b2o4b2ob3ob5o2b5o5b2ob2obo2b2ob
obo2bob2o2b2o2b2obobob2ob4obo2b4ob2ob2o6b2obo2b2obobo2b2obobo5b2o7bo3b
2o$ob2ob2ob2o2bobobob3ob3o2bo4bo2b4obobobo2b4o2bobo2bob2o2b2ob4ob2ob5o
bo3b3o2bo2bobo4bobob2obo3b6ob2o2b5ob2ob2o8bob3o3b2o3b3o3b2o$obo3bo2bo
2bo2bo5bo3bo8bob5o3bobobobo3bo2b2obob5o2bo3b2ob4obo2b2ob4o2b3o2b3o4bo
b5o2b2obo2bobob2o9bo2bobo2b2obo2b2o3bob6o$bob2o2b3ob2o2bob4ob4o3b2ob4o
4bo4bo3bobobobo3bo3bo3b2ob2o2bobo4b2ob2o3bo2b6ob4ob2obo2b7o3bo3b2obob
ob2ob2ob10o3bob2o2b2o$2bo7b3o2b2o4b2obobo2b3o2b7obobob3ob2obo3b2o3bob
4o3b2o4bo5b3o4b5o2bo2b2o7b4o2b2o2bo2b4obobo3b2o2bob3obo2b5ob2o3bobo$o
4bo5bobobobob2o2b3o2b3ob4obob4o4bo3b5obo2b2obo5bo2bo2b2o2bo5bo2b2obo2b
ob2o5bo3b5o9bo2bob4o2b2o3b9o4bob2ob3o2b2o$2bobobob5ob3obo4bobobob8o2b
5o2b3obobo2bo6b2ob3o2bo2bobo4bobob2o3bo2bob2obo2b3o4bo2b2obo2bo5bo2b6o
2bobobobobob2obob2ob3ob3o3bo$4b9o11bo3b2o4b5obo5b2obo3bo5b4ob4o2bobo2b
4o2bob4obo3b2ob3obob4o4bo2b2o5b2ob2o8bobob3ob7ob3ob2obo2b4o$2bob3ob2o
3b3o2bo5b2o6bo4b3o2bo2bo2bo3b2ob2obo5bo3b2obo2bo4bo2bobo7bob2o2bobobo
bob3ob2o2bobo5b3obo3bobo4bo2b2ob2obobobobob3ob3o$b2obob2o4b2o2bo8bo2b
4ob5ob2o2bob3ob2obobob2o2b4obob2ob5o2bo4bo4b2o2bob3o3bobobo3bo3bob2o2b
2ob3ob2o3b2ob3obob2o2bobob2o6b3obo2bo$2b2ob2o2b2o2b5obo3bob2o2bob2obo
2bo3bo3b5o4bob3o6bo2b2ob3ob4obo3bobo2b2o2b2o2b3ob4o2b5ob2ob4obob3o2b4o
b2obo2b5obob2o3b2ob3o2bo$3obo2bobobobo2b2ob3o2b3obo2bobo3bob3obob2obo
2bo3b3o2bobo2b2obobob2o3b2o3b3o2b4o3bobobo5b4obobob2o3b2obo2bobo8b3ob
obob2o2bo5b2o2b2ob2o$5o2bo3bo2b2o2b2ob3ob3o2bob3o3b4o2b2o7bo2bob3obob
o2bobo2b5obob2o3bo2bobob2o4b5obo3bo4bobob7o4b8obo8b5o4b2ob2o$2ob3ob2o
b2ob3obob4o6bobob2ob2o2bobo4b4o2bob3o2b2obobob2ob2o3bob10ob2o2bob3o2b
2o4bobo2bo5bobobo2bo5bobobob5ob4o2b4obob2o5bo$5bobo2bobob2obobo2b4ob6o
b2obo2bobo2bo3bob5o2bo4b6obobobo2b2o2b2obo2bobobobob3ob2ob3ob2obo7b2o
6b4obobobo2b2o3bo2bob2o2bob5o2b2o$2ob3o3b2obob3ob2obo4b3obo2bo2b2o2bo
2b2obobobo6b2obo3b2obo2bo3bob2o3bo3b4ob2ob5o2b3o10bo2b2o2b2ob7o2b5o2b
o6bobo2bob2o3b2obo$o2bo4bobo2bo2b2ob3obob7obo3b4obo3b2ob3obo2b2ob3o2b
2o4bob2o3bobobobo3bo2bobob3o2bob2ob2ob7o3b3o2b5ob3obo2b3o4b2o5b2o2b2o
b2obobo$2o2b2o4bobo3b3o2bo3b4o3bo2bo2b2o2b2ob2o2bo2b2ob3ob4o2bobob3o2b
o3bo4b6obo2b2o3bo2bo3b8obo7b4o2b3obob7ob2obobo2b2o3bo2b2obo$b2ob2o3bo
2b3o2bo2bob2o2b9obo2bob2o2b2ob2ob2o2b3o2b2o4b3obobob2obob2obo2bobo2b3o
b2ob2obo2bobo2b2o3b2ob2o2b3ob2ob3o3bobo2b3o2bo2b4o3bo2b4o$2obob4obo5b
obo3b3ob2o6bo2b6ob3ob2obo5bobob2ob7o2bo4b2ob2o3bo3bobob3ob2obob3obobo
b2ob8ob3ob2o5bo2bobobo2b3obobo2bo2bo3bo!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

Mathemagician314
Posts: 95
Joined: November 15th, 2023, 3:15 pm
Location: Toroidal Universe MKA-84

Re: Rules with interesting dynamics

Post by Mathemagician314 » March 4th, 2024, 7:39 am

Here's a fun one that apgsearch doesn't like, with a c/11 diagonal spaceship:

Code: Select all

x = 131, y = 19, rule = B2-a3-enq/S01c3c4c
2b3o51b3o32bo10bo$o5bo47bo2bo2bo28bo3bo6bo3bo22bob2o$93b2o9b2o24bo$
101b2o2bo$130bo12$91bo7bo9bo3bo$108b3ob3o6bobo3bobo$92bo8bo7bo3bo!
Can we make a (28,3)c/84 spaceship??

Code: Select all

x = 6, y = 7, rule = B3-e4i5-a/S2-i3-a4cr5e6c
3o$o$o2$5bo$5bo$3b3o!
[[ THEME PCA ]]

Code: Select all

x = 6, y = 5, rule = 2-ak34/2kn3-r4aijnr5c/5
.3A$.ABA$DAD2A$.ABADC$.3A2B!
[[ THEME BLUES ]]

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » March 4th, 2024, 11:39 am

B34/S245678 creates some sort of artwork inside of the expanding thing, where chaos and order coexist. (the ordered part are wicks, and occasionally agars. Also, the layout of the artwork seems to be radiating from the center of growth.)

Code: Select all

x = 8, y = 7, rule = B34/S245678
b2o$2bo$b4o$3bob3o$2b3o$b2o!
Also, an interesting GOBWR rule with a spacefiller-like thing for a pseudo-random high period agar:

Code: Select all

x = 177, y = 166, rule = 3456-a78/1267c8/3:T177,166
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$85A2.90A$85A2.90A$177A$177A$177A$177A$
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$
177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A
$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$177A$
177A$177A$177A$177A$177A!
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » March 4th, 2024, 7:32 pm

iddi01 wrote:
March 4th, 2024, 11:39 am
B34/S245678 creates some sort of artwork inside of the expanding thing, where chaos and order coexist. (the ordered part are wicks, and occasionally agars. Also, the layout of the artwork seems to be radiating from the center of growth.)
...
Bounded W60 emulator:

Code: Select all

x = 39, y = 40, rule = B34/S245678
39o$39o$2ob36o$2ob36o$2o3b34o$4ob34o$4o3b32o$6ob32o$6o3b30o$8ob30o$8o
3b28o$10ob28o$10o3b26o$12ob26o$12o3b24o$14ob24o$14o3b22o$16ob22o$16o3b
20o$18ob20o$18o3b18o$20ob18o$20o3b16o$22ob16o$22o3b14o$24ob14o$24o3b12o
$26ob12o$26o3b10o$28ob10o$28o3b8o$30ob8o$30o3b6o$32ob6o$32o3b4o$34ob4o
$34o3b2o$36ob2o$39o$39o!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

-

100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

-

Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

iddi01
Posts: 115
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

Re: Rules with interesting dynamics

Post by iddi01 » March 9th, 2024, 1:52 am

I accidentally found the range-2 equivalent of Seeds (it behaves shockingly similar to Seeds, but spaceships are much more versatile):

Code: Select all

x = 8, y = 9, rule = R2,C0,S,B3,N@FC663F
4$b2o$bo$b4o$6bo!
I tried a Generations variant with an added survival condition, with small patterns usually stabilizing into a lot of spaceships, some with high period.
However, large patterns tend to be still explosive due to rakes being way too common:

Code: Select all

x = 34, y = 27, rule = R2,C4,S3,B3,N@FC663F
2$23.2A$23.A$23.A$15.A$6.3A5.2A$12.3A2$3.A$3.A$3.A$3.A2.A11.A$6.3A9.A
$12.A5.A$12.A5.A$2.A9.A5.A$.2A15.A$.A16.A$.A3.3A9.2A$8.4A3$17.A$17.3A
$6.3A!
Using the same logic, i discovered the range-3 equivalent which surprisingly, is no longer explosive.
Patterns in it actually stabilize very fast, which causes it to be slightly boring, until a replicator and this P6 showed up:

Code: Select all

x = 46, y = 9, rule = R3,C0,S,B4,N@FF060C3060FF
2$42bo$42bo$40b2ob2o$4b4o34bo$12b4o26bo!
I've ran apgsearch on it, and it turned out to be one of the rules with very versatile spaceship periods.
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2$32b3o$32bobo$32bobo$32b3o27$63b4o$b4o58bo2bo$bo2bo23bo4b2o28b4o$b4o
21bobo$28bo21$35bo$34b3o6$33b3o$33bobo$33bobo$33b3o!

User avatar
b-engine
Posts: 1388
Joined: October 26th, 2023, 4:11 am
Location: Somewhere on earth

Re: Rules with interesting dynamics

Post by b-engine » March 9th, 2024, 10:07 am

This rake-like device spits movement of the large "particles" in W54:

Code: Select all

x = 383, y = 2, rule = 3eir4i/2a3i/3
383A$B3ABA2BABABA3BABA3B2AB2A4B2A6BAB2ABAB3ABA2BABA4BA4B3ABA2B2A2B2A2B
2AB2A3B2AB3A2B3A2BA7BAB2ABABA4B2A2BA2B2A2BABAB5A3B2ABA2B5AB2ABA2BA2BA
4B4A4BABABA2BAB2A2B3ABA2B3AB3A2B3A3B2ABAB5ABABABAB2AB2A2BABA3B4AB2AB2A
2B4ABA3BA4BABA4BA2B2A7B2ABA2BABABAB3A8BABA3BA2B3ABABAB2AB2A4BA2B6ABA3B
4A3B2AB2ABA2BABABA2BA2B2AB2AB!
Most LtL patterns under 8x8 bounding box and smallest LtL camelship
My rules

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100th post: 18 November 2023
1000th post: 8 March 2024
10000th post:

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Do not capitalize my username. Also you can edit quotes cause I don't like very long quotes.

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