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Miscellaneous Discoveries in Other Cellular Automata

Posted: December 19th, 2015, 5:44 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: December 19th, 2015, 6:42 pm
by Billabob
drc wrote:3c/23
That's a nice coincidence - Life's rulestring is B3/S23.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: December 19th, 2015, 9:17 pm
by BlinkerSpawn
drc wrote:very sparky period 324, 162c/11 orthogonal
I believe you meant to put 11c/162 there.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: December 19th, 2015, 10:03 pm
by drc
BlinkerSpawn wrote:
drc wrote:very sparky period 324, 162c/11 orthogonal
I believe you meant to put 11c/162 there.
Fixed

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: January 8th, 2016, 5:42 pm
by drc

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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: January 9th, 2016, 6:49 am
by Saka

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

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: January 9th, 2016, 7:29 am
by Saka

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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: January 9th, 2016, 12:26 pm
by drc
Almost a 4c/8 puffer:

Code: Select all

x = 13, y = 3, rule = Beaecsizae
2bo7bo$2bo7bo$3o7b3o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: January 10th, 2016, 4:10 pm
by drc

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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: March 14th, 2016, 4:22 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: March 17th, 2016, 8:43 pm
by drc
B013/S2 is pretty cool. Soups generated in even states last very long, while ones generated in odd states devolve into several small oscillators.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 13th, 2016, 9:40 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 27th, 2016, 12:20 am
by drc
Extremely small natural p96 four-barreled GG:

Code: Select all

x = 3, y = 3, rule = B34i5j_S23-a4i6c
3o$obo$bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 27th, 2016, 11:46 am
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 27th, 2016, 3:13 pm
by drc
Weird growth:

Code: Select all

x = 7, y = 2, rule = B3_S23-a4i6c
3ob3o$obobobo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 30th, 2016, 3:15 am
by drc
Familiar Two LWSS:

Code: Select all

x = 6, y = 5, rule = B35e_S236c
3b2o$2bob2o$2o$obo$bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 31st, 2016, 10:59 am
by Gamedziner
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 2nd, 2016, 7:28 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 4th, 2016, 9:11 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 5th, 2016, 7:00 am
by Gamedziner

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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 5th, 2016, 9:51 am
by muzik
Adding 1 allows this:

Code: Select all

x = 2, y = 1, rule = B123/S01358
2o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 5th, 2016, 11:20 am
by drc
Sierpinski Builders:

Code: Select all

x = 3, y = 4, rule = B3_S2-in34i
b2o$2o$b2o$2bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: June 23rd, 2016, 11:04 pm
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: December 18th, 2016, 12:19 am
by drc
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!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: December 19th, 2016, 7:18 am
by Rhombic
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
!