Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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drc
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Miscellaneous Discoveries in Other Cellular Automata

Post by drc » December 19th, 2015, 5:44 pm

This rule:

Code: Select all

@RULE lotsofdots
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,0,0,1,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,0,0,1,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,0,1,0,1,0,1,0,1
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,1,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS

0 0 0 0
1 255 255 255
Has a very sparky period 324, 11c/162 orthogonal (yes you read that right) natural (but rare) dot puffer, specified by 6 cells:

Code: Select all

x = 4, y = 5, rule = lotsofdots
3bo2$o$b3o$bo!
Another 6 cell growth, this time p46 3c/23 diagonal:

Code: Select all

x = 4, y = 4, rule = lotsofdots
3bo$o$o$b3o!
Last edited by drc on December 19th, 2015, 10:02 pm, edited 1 time in total.
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Billabob
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Billabob » December 19th, 2015, 6:42 pm

drc wrote:3c/23
That's a nice coincidence - Life's rulestring is B3/S23.
▄▀
▀▀▀

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BlinkerSpawn
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by BlinkerSpawn » December 19th, 2015, 9:17 pm

drc wrote:very sparky period 324, 162c/11 orthogonal
I believe you meant to put 11c/162 there.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » December 19th, 2015, 10:03 pm

BlinkerSpawn wrote:
drc wrote:very sparky period 324, 162c/11 orthogonal
I believe you meant to put 11c/162 there.
Fixed
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drc
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » January 8th, 2016, 5:42 pm

Code: Select all

@RULE B2ex3-lS23
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,0,1,0,0,0,0,0,1
0,0,1,0,0,0,1,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS

0 0 0 0
1 255 255 255
P120 gun

Code: Select all

x = 4, y = 9, rule = B2ex3-lS23
2bo$bobo$bobo$2bo4$2o$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » January 9th, 2016, 6:49 am

Code: Select all

x = 10, y = 4, rule = B2ex3-lS23
b2o4b2o$o2bo2bo2bo2$8bo!
Err... Rule? (I mean like B34ecS12-a3)
If you're wondering:

Code: Select all

@RULE Beaecsizae
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,1,1,0,0,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,0,1,0,1,0,1,0,1
0,0,1,0,1,0,1,0,1,1
1,0,0,0,0,0,0,0,0,0
1,1,0,1,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,1,1,1,0,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,1,0,0,0,1,0,0,1
1,1,1,0,0,0,0,1,0,1
1,1,1,0,0,0,0,0,1,1
1,1,0,1,0,1,0,0,0,1
1,1,0,1,0,0,1,0,0,1
1,1,0,0,1,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,1,1,0,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,1,0,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,0,1,1,1,1,1,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0
Yes, common 2D replicator
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » January 9th, 2016, 7:29 am

Code: Select all

x = 69, y = 18, rule = Beaecsizae
60bo$bobobo52b2ob2o$bo3bo52bo3bo$2o3b2o53bo$bo3bo53b3o$7o$bo3bo6bo7bo
7bo2bo9b2o15b5o$obobobo5bo2bobo2bo7bo2bo9bo14bo7bo$14b2ob2o10b2o9b2o
11bo5bobo5bo$o5bo7b2ob2o9b2o10bo12bo5bobo5bo$bo3bo22b2o22bo5bo3bo5bo$
2bobo8bobobobo19b5o10bo3bo3bo3bo$3bo23bobo10b3o11bo5bo5bo$11b3ob3ob3o
5b3o11bo13bo9bo$2bobo51bo7bo$2b3o52bo5bo2$59b3o!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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drc
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » January 9th, 2016, 12:26 pm

Almost a 4c/8 puffer:

Code: Select all

x = 13, y = 3, rule = Beaecsizae
2bo7bo$2bo7bo$3o7b3o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » January 10th, 2016, 4:10 pm

Code: Select all

@RULE gp
@TABLE
n_states:2
neighborhood:Moore
symmetries:rotate4reflect
0,1,0,1,0,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,1,1,0,1,0,0,0,0,1
0,1,1,0,0,1,0,0,0,1
0,1,1,0,0,0,1,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,0,0,0,0,0,1,1
0,1,0,1,0,1,0,0,0,1
0,1,0,1,0,0,1,0,0,1
0,1,0,0,1,0,1,0,0,1
0,0,1,0,1,0,1,0,0,1
0,1,0,1,0,1,0,1,0,1
0,0,1,0,1,0,1,0,1,1
0,0,1,1,0,1,0,1,1,1
0,0,1,1,1,0,1,1,1,1
1,0,0,0,0,0,0,0,0,0
1,1,0,0,0,0,0,0,0,0
1,0,1,0,0,0,0,0,0,0
1,1,1,1,1,0,0,0,0,0
1,1,1,1,0,1,0,0,0,0
1,1,1,1,0,0,1,0,0,0
1,1,1,0,1,0,1,0,0,0
1,1,1,0,1,0,0,1,0,0
1,1,1,0,1,0,0,0,1,0
1,1,1,0,0,1,1,0,0,0
1,1,1,0,0,1,0,1,0,0
1,1,1,0,0,1,0,0,1,0
1,1,1,0,0,0,1,1,0,0
1,1,0,1,0,1,0,1,0,0
1,0,1,0,1,0,1,0,1,0
1,0,0,0,1,1,1,1,1,0
1,0,0,1,0,1,1,1,1,0
1,0,0,1,1,0,1,1,1,0
1,0,0,1,1,1,0,1,1,0
1,0,0,1,1,1,1,0,1,0
1,0,0,1,1,1,1,1,0,0
1,0,1,0,1,0,1,1,1,0
1,0,1,0,1,1,0,1,1,0
1,0,1,1,0,1,0,1,1,0
1,1,0,1,0,1,0,1,1,0
1,0,0,1,1,1,1,1,1,0
1,0,1,0,1,1,1,1,1,0
1,0,1,1,0,1,1,1,1,0
1,0,1,1,1,0,1,1,1,0
1,1,0,1,0,1,1,1,1,0
1,1,0,1,1,1,0,1,1,0
1,1,0,1,1,1,1,1,1,0
1,1,1,1,1,1,1,1,1,0

@COLORS

0 0 0 0
1 255 255 255
This rule has a natural growing puffer, that I don't know if apgsearch recognises:

Code: Select all

x = 8, y = 5, rule = gp
o$2o$2o2bobo$o2b5o$4bobo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » March 14th, 2016, 4:22 pm

Arbitrarily slow c/(2 * # of states) glider

Code: Select all

x = 3, y = 3, rule = 12/346/3
.2A$A$.2A!

Code: Select all

x = 3, y = 3, rule = 12/346/256
.2A$A$.2A!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » March 17th, 2016, 8:43 pm

B013/S2 is pretty cool. Soups generated in even states last very long, while ones generated in odd states devolve into several small oscillators.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » April 13th, 2016, 9:40 pm

Trippy e.e:

Code: Select all

x = 6, y = 4, rule = B2-c_S0
2b2o2$bo2bo$o4bo!
EDIT:

Code: Select all

x = 5, y = 4, rule = B2-c_S0
2b2o$4bo$bo$o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » May 27th, 2016, 12:20 am

Extremely small natural p96 four-barreled GG:

Code: Select all

x = 3, y = 3, rule = B34i5j_S23-a4i6c
3o$obo$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » May 27th, 2016, 11:46 am

Weird spaceship based on LWSS':

Code: Select all

x = 7, y = 5, rule = B2i35r_S023-a4i
bo3bo$3ob3o$obobobo$b2ob2o$b2ob2o!
It can remove a dot from a different, similar spaceship in the same rule, while also preserving the dot on the ship. It's hard to describe:

Code: Select all

x = 7, y = 12, rule = B2i35r_S023-a4i
3bo$3bo$3bo2$3bo3$bo3bo$3ob3o$obobobo$b2ob2o$b2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » May 27th, 2016, 3:13 pm

Weird growth:

Code: Select all

x = 7, y = 2, rule = B3_S23-a4i6c
3ob3o$obobobo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » May 30th, 2016, 3:15 am

Familiar Two LWSS:

Code: Select all

x = 6, y = 5, rule = B35e_S236c
3b2o$2bob2o$2o$obo$bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Gamedziner » May 31st, 2016, 10:59 am

drc wrote:Trippy e.e:

Code: Select all

x = 6, y = 4, rule = B2-c_S0
2b2o2$bo2bo$o4bo!
It's building up a Sierpinski Triangle!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » June 2nd, 2016, 7:28 pm

I love searching rules like this that generate THOUSANDS of objects per soup, yet are still miraculously stable:

Code: Select all

x = 16, y = 16, rule = B3_S12-ae34ceit
obo4bo2b4obo$2b2obobobo5bo$bo2b2o5b2o$ob2ob2ob2o3b2o$bo6bobo$bobo2b3ob
obob2o$3o2bo2b3obobo$2o3bo4b2ob2o$bo2bob2o3b2o2bo$o2b2o2b2o2bo2bo$bo2b
o2b2o2bo3bo$b4o2bob3obo$2o3b2obob2o$b2ob3ob2ob2obo$o2b3o3b2obo$2b2ob4o
2b2ob2o!
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drc
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » June 4th, 2016, 9:11 pm

B3_S23-e Pattern Collection:

Code: Select all

x = 99, y = 37, rule = B3_S23-e
9b3o2b2ob3o44b2obo3b3ob3o2b2o$9bobo2bo2bo46bo2b3o2bo2b3o2bo$9b3ob2o2b
3o43b2o2bobob3obo3b2o8$4b3o17b2o25bob3o3bob3obo8bobobob3o12bo$4bo19bob
o23bo2bo5bo3bo2bo6bo2bobobobo11b3o$3ob3o18b2o23bo2b3o3bob3o2bob3o2bo2b
3obobo10b2o2bo$obobobo19bo23bo2bobo3bobo4bobo4bo4bobobo10b2o2b2o$3ob3o
44bob3obobob3obo2b3obo5bob3o10b2ob2o$o56bo35bo$o93b2o6$91b3o$91b3o2$
90bo$91bo$91bo3$4b3ob3o14b2ob2o20b3o7bob3o26bob2o$4bobobobo13bobobo23b
o6bo2bo27bo2b2o$3ob3obobo13b2obo22b3ob3o2bo2b3o25bo$obobobobobo15bo23b
o3bo4bo2bobo27bobo$3ob3ob3o13b2o24b3ob3obo3b3o27b3o$o23bo$o!
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Gamedziner
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Gamedziner » June 5th, 2016, 7:00 am

Code: Select all

x = 0, y = 0, rule = B123/S0358
o!
Any ruleset allowing birth with 1, 2, or 3 nearby cells and survival with 0, 3, 5, or 8 nearby cells will make a single cell tile the entire grid, leaving no spaces. Since all live cells have 0, 3, 5, or 8 other live cells near them, and all nearby dead cells are near 1, 2, or 3 live cells, this fills up the entire grid even if you add more birth and/or survival allowances.

Furthermore, the "0" can be eliminated if you start with a 3 by 3 block:

Code: Select all

x = 0, y = 0, rule = B123/S358
3o$3o$3o!

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!

muzik
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by muzik » June 5th, 2016, 9:51 am

Adding 1 allows this:

Code: Select all

x = 2, y = 1, rule = B123/S01358
2o!
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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drc
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » June 5th, 2016, 11:20 am

Sierpinski Builders:

Code: Select all

x = 3, y = 4, rule = B3_S2-in34i
b2o$2o$b2o$2bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » June 23rd, 2016, 11:04 pm

Potential p652 in a rule that borders on explosive, but doesn't explode

Code: Select all

x = 3, y = 4, rule = B3_S235e
2o$b2o$2o$o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by drc » December 18th, 2016, 12:19 am

Bumping this again to say a very important question has been answered: What happens if a replicator replicates in really strange ways? This:

Code: Select all

x = 16, y = 9, rule = B3-e/S2-cn34iHistory
.3D$D2.D$3.D3$3.3E7.3D$5.E9.D$5.E9.D$4.E9.D!
-
This rule has strange infrastructure, with 11c/72d and xc/2xo puffers:

Code: Select all

x = 14, y = 16, rule = B3-e/S2-cn34i7cHistory
.E$2.E$2.E$.2E$E7$12.D$13.D$13.D$12.2D$11.D!
Sample explosion:

Code: Select all

x = 18, y = 10, rule = B3-e/S2-cn34i7c
o$o$o6$15b3o$15bobo!
-
3c/40 forerake:

Code: Select all

x = 3, y = 4, rule = B3-e/S2-cn3-y4i
bo$2bo$2bo$3o!
c/5 diagonals:

Code: Select all

x = 4, y = 4, rule = B3-e/S2-cn3-y4i
b3o$o2bo$3bo$2bo!
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Rhombic
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Rhombic » December 19th, 2016, 7:18 am

c/3 orthogonal

Code: Select all

x = 13, y = 17, rule = B37/S238
b2o7b2o$2bo7bo$b2o7b2o$2b3obob3o$3b2obob2o$5b3o$bo9bo$bobob3obobo$2bo
2b3o2bo$bo9bo$4bo3bo$b2o7b2o$2b3obob3o$obo2bobo2bobo$2o3bobo3b2o$2ob2o
3b2ob2o$3b2o3b2o!
c/2 orthogonal

Code: Select all

x = 11, y = 16, rule = B37/S238
8b2o$4b2o2bo$2bo4b2o$5bob2o$2b2obo$3bob2o$3bobobo2$bobo3bobo$2bo5bo$o
3bobo3bo$o3bobo3bo$bo2bobo2bo$2b2obob2o$4b3o$5bo!
Various spaceships, B3567/S3568

Code: Select all

x = 45, y = 25, rule = B3567/S3568
23bobo$23b3o$22b5o$24bo$22b5o$22b5o$24bo$21b2obob2o$20b4ob4o12b2obo$
22b5o14bob2o$20bo2b3o2bo12b3o$21b7o14b2o$21b3ob3o13b2o$22b5o$b3o16bo2b
3o2bo13b2o$bobo16b3obob3o$19b2obobobob2o10bobo$b3o17b3ob3o$2bo16b11o
10b2o$o3bo16b2o3b2o10bo4bo$o3bo5bo3bo4b4o3b4o8b2o2b2o$obobo5bobobo7b5o
10bo6bo$o3bo5bo3bo6b3ob3o10b2o2b2o$b3o7b3o9bobo11b8o$2bo9bo10bobo12b6o
!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

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