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Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

Miscellaneous Discoveries in Other Cellular Automata

Postby drc » December 19th, 2015, 5:44 pm

This rule:

@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:

x = 4, y = 5, rule = lotsofdots
3bo2$o$b3o$bo!


Another 6 cell growth, this time p46 3c/23 diagonal:

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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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Billabob » December 19th, 2015, 6:42 pm

drc wrote:3c/23


That's a nice coincidence - Life's rulestring is B3/S23.
Sorry, my cat typed that.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 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.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby 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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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby drc » January 8th, 2016, 5:42 pm

@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

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

Postby Saka » January 9th, 2016, 6:49 am

x = 10, y = 4, rule = B2ex3-lS23
b2o4b2o$o2bo2bo2bo2$8bo!

Err... Rule? (I mean like B34ecS12-a3)
If you're wondering:
@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
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Saka » January 9th, 2016, 7:29 am

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!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby drc » January 9th, 2016, 12:26 pm

Almost a 4c/8 puffer:

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

Postby drc » January 10th, 2016, 4:10 pm

@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:

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

Postby drc » March 14th, 2016, 4:22 pm

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

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


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

Postby 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

Postby drc » April 13th, 2016, 9:40 pm

Trippy e.e:

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


EDIT:

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

Postby drc » May 27th, 2016, 12:20 am

Extremely small natural p96 four-barreled GG:

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

Postby drc » May 27th, 2016, 11:46 am

Weird spaceship based on LWSS':

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:

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

Postby drc » May 27th, 2016, 3:13 pm

Weird growth:

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

Postby drc » May 30th, 2016, 3:15 am

Familiar Two LWSS:

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

Postby Gamedziner » May 31st, 2016, 10:59 am

drc wrote:Trippy e.e:

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

Postby 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:

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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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby drc » June 4th, 2016, 9:11 pm

B3_S23-e Pattern Collection:
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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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Gamedziner » June 5th, 2016, 7:00 am

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:

x = 0, y = 0, rule = B123/S358
3o$3o$3o!
A base-2 ruler for all your measuring needs in CGOL:
32b32o$16b16o16b16o$8b8o8b8o8b8o8b8o$4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o$2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby muzik » June 5th, 2016, 9:51 am

Adding 1 allows this:

x = 2, y = 1, rule = B123/S01358
2o!
2c/n spaceships project

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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby drc » June 5th, 2016, 11:20 am

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

Postby drc » June 23rd, 2016, 11:04 pm

Potential p652 in a rule that borders on explosive, but doesn't explode
x = 3, y = 4, rule = B3_S235e
2o$b2o$2o$o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

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

-
3c/40 forerake:
x = 3, y = 4, rule = B3-e/S2-cn3-y4i
bo$2bo$2bo$3o!

c/5 diagonals:
x = 4, y = 4, rule = B3-e/S2-cn3-y4i
b3o$o2bo$3bo$2bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Postby Rhombic » December 19th, 2016, 7:18 am

c/3 orthogonal
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
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
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
!
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