Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

confocaloid wrote: February 14th, 2025, 10:19 am R2,C0,S10-19,21,30-39,50-59,75-79,B15-19,35-39,55-59,75-79,NW01000000010005190500001900190000051905000100000001
WhiteHawk wrote: February 14th, 2025, 11:53 am So how does this work?
In this case, the only difference from Conway's Life should be in the survival condition S21 listed in the above definition. To determine what it means, one needs to read the neighbour weights (NW...):

Code: Select all

NW01000000010005190500001900190000051905000100000001   (hexadecimal, two digits per neighbour)

01 -- -- -- 01
-- 05 25 05 --
-- 25 -- 25 --
-- 05 25 05 --
01 -- -- -- 01
The only way to obtain 21 by adding weights of some subset of neighbours is (21 = 5 + 5 + 5 + 5 + 1). Hence the condition S21 means
"the cell is currently alive, has four alive diagonal Moore neighbours, has precisely one alive range-2 saltire neighbour, and does not have any other alive neighbours"

Since S21 is listed, the cell survives in that case (allowing the alien p62 to exist), and it turns out that that doesn't break any shown patterns from Conway's Life.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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Aleph
Posts: 2277
Joined: February 18th, 2021, 11:18 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

Stopbox but it's lightspeed:

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x = 23, y = 3, rule = photonbox_wip
3B7.BAB7.2BA$BAB7.3B7.3B$3B7.3B7.3B!
@RULE photonbox_wip
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7

# All boxes (sheath)
2 ,1 ,a0,a1,a2,a3,a4,a5,a6,2
2 ,a0,1 ,a1,a2,a3,a4,a5,a6,2
# Stationary box
1 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,1
# Orthogonal box
0 ,0 ,2 ,1 ,2 ,0 ,0 ,0 ,0 ,1
0 ,0 ,1 ,2 ,0 ,0 ,0 ,0 ,0 ,2
# Diagonal box
0 ,0 ,1 ,0 ,0 ,0 ,0 ,0 ,0 ,1
0 ,0 ,2 ,1 ,0 ,0 ,0 ,0 ,0 ,2
0 ,0 ,2 ,2 ,1 ,0 ,0 ,0 ,0 ,2
# All boxes (core)
1 ,a0,a1,a2,a3,a4,a5,a6,a7,2
# Everything else
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
I'll let people play with the ruletable however they please.
EDIT: This is starting to look like an actual caricature of stopbox; lol

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x=0, y=0, rule=photonbox_wip1
!
[[ RANDOMIZE ]]
@RULE photonbox_wip1
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7

# All boxes (sheath)
2 ,1 ,a0,a1,a2,a3,a4,a5,a6,2
2 ,a0,1 ,a1,a2,a3,a4,a5,a6,2
# Stationary box
1 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,1
# Orthogonal box
0 ,0 ,2 ,1 ,2 ,0 ,0 ,0 ,0 ,1
0 ,0 ,1 ,2 ,0 ,0 ,0 ,0 ,0 ,2
# Diagonal box
0 ,0 ,1 ,0 ,0 ,0 ,0 ,0 ,0 ,1
0 ,0 ,2 ,1 ,0 ,0 ,0 ,0 ,0 ,2
0 ,0 ,2 ,2 ,1 ,0 ,0 ,0 ,0 ,2
# All boxes (core)
1 ,a0,a1,a2,a3,a4,a5,a6,a7,2
# Attempt at stopping explosion
0 ,1 ,0 ,0 ,0 ,0 ,0 ,0 ,0 ,2
# Everything else
a0,a1,a2,a3,a4,a5,a6,a7,a8,0

Code: Select all

x=0, y=0, rule=photonbox_wip2
!
[[ RANDOMIZE ]]
@RULE photonbox_wip2
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7

# All boxes (sheath)
2 ,1 ,a0,a1,a2,a3,a4,a5,a6,2
2 ,a0,1 ,a1,a2,a3,a4,a5,a6,2
# Stationary box
1 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,1
# Orthogonal box
0 ,a0,2 ,1 ,2 ,a1,a2,a3,a4,1
0 ,a0,1 ,2 ,a1,a2,a3,a4,a5,2
# Diagonal box
0 ,a0,2 ,2 ,1 ,a1,a2,a3,a4,2
0 ,a0,2 ,1 ,a1,a2,a3,a4,a5,2
0 ,a0,1 ,a1,a2,a3,a4,a5,a6,1
# All boxes (core)
1 ,a0,a1,a2,a3,a4,a5,a6,a7,2
# Attempt at stopping explosion
0 ,1 ,a0,a1,a2,a3,a4,a5,a6,2
# Everything else
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
User avatar
CARuler
Posts: 1347
Joined: July 30th, 2024, 5:38 pm
Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

forms an agar

Code: Select all

x = 113, y = 102, rule = photonbox_wip
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BA.A.3B.2A.A2.4A.A.AB.B.2A6.BA.A.A.A2.B5.2AB3A.AB.3B2.BAB$7.2A3.AB4.2A
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A3.B.2B6.A.2B.A4.B.4B.BA7.3A3.A.BA5.2BA.A2.B.A.2B.ABA2B.A.2B.B2.2A4.2B
4.B.B5.A.B$A2.A2.A.A9.B.A2.A.A.A2.A2.B2.BA3.A2.BABA.A.B2.2A.BA2.A3.3A
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2.B4.AB2.BA5.A2B2.A.2A4.A4.BA5.B.A.2B.3A.3B.BA.B.3A2BA2.2BA.B$2.B3.2B
A3.B.2B9.2AB.A2.2B2A2.2AB2A.B2.B3.A2.3A2.B.2B.A3.B2.BAB.A.A.BABA3.2B2.
B3.2B.B2.B.A2B3.B3.A$AB2.2AB.BABAB4.B3.B.A3.BA.BA2.2A.A3.2B3.ABA2.B.A
BAB.B.4BA2.A4.B.2B3.AB3.2B.A.2BA.B.BABA2.2A3.2B2A.B$2A2BA7.BA2.A.2A.A
2.A.BA.A.2AB2AB.2BA3.2AB.6A4.2AB2AB2AB2.ABA2BA.B.2B.B2.AB2.A.B.A.A2.3A
B2.A.2BA.4B$.A4.A.3AB.2A.B2A2.A2BA2B2.BA4.A.2A.2B2.B2.B.B3.BA.BA.2A5.
2B2.AB2.4B2.2A5.2A6.2A2.B2.BA2B2A2B$BA3.A.BABA.2A2.A2.B.B4.A4.3A3.A2B
A2.2BA.2A5.AB2.B.BA.A.3B5.B.2B2A3.2B5.B3A.B.2BA2B2A4B2.B.B!
@RULE photonbox_wip
@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
var a0={0,1,2}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
var a8=a7

# All boxes (sheath)
2 ,1 ,a0,a1,a2,a3,a4,a5,a6,2
2 ,a0,1 ,a1,a2,a3,a4,a5,a6,2
# Stationary box
1 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,2 ,1
# Orthogonal box
0 ,0 ,2 ,1 ,2 ,0 ,0 ,0 ,0 ,1
0 ,0 ,1 ,2 ,0 ,0 ,0 ,0 ,0 ,2
# Diagonal box
0 ,0 ,1 ,0 ,0 ,0 ,0 ,0 ,0 ,1
0 ,0 ,2 ,1 ,0 ,0 ,0 ,0 ,0 ,2
0 ,0 ,2 ,2 ,1 ,0 ,0 ,0 ,0 ,2
# All boxes (core)
1 ,a0,a1,a2,a3,a4,a5,a6,a7,2
# Everything else
a0,a1,a2,a3,a4,a5,a6,a7,a8,0
likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
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pifricted
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pifricted »

wwei47 wrote: February 14th, 2025, 12:56 pm Stopbox but it's lightspeed:
Rule:Buzyblocks
...is enjoying his teenage time.
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b-engine
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

wwei47 wrote: February 14th, 2025, 12:56 pm Stopbox but it's lightspeed:
In fact, Stopbox is inspired by BusyBlocks by islptng, which have small still lifes, orthogonal and diagonal lightspeed spaceships.
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islptng
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

pifricted wrote: February 15th, 2025, 12:29 am Rule:Buzyblocks
Rule:BusyBlocks
islptng wrote: November 25th, 2024, 2:41 am This rule has various actions between 3x3 blocks.
A 3x3 block is made of 8 state-2 cells and 1 state-1 cell.
It's movements depends on the position of the state 1 cell:
Still life, diagonal ship or orthogonal ship.
It looks like B1/S0 with clusters, but it is not at all.
My sandbox | All my engineered replicators | BsKngt | TNT
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

vv Here is what seems to be a slightly more active variant keeping those reactions and objects:

Code: Select all

x = 76, y = 47, rule = R2,C0,S4,21-22,24-25,27,36-40,42,55-58,89-91,104-110,120-127,137-143,170,172-178,187-195,205-211,222-227,240,256-260,272-279,289-295,307-311,326-327,342-345,357-363,374-379,393-395,410-411,B10-12,14-16,26-34,42-54,58-61,63-84,94-101,110-113,115-121,126-128,132,134-140,142-144,149-163,165-170,178-186,189,194-196,199-204,210-212,218-222,224,226-228,233-245,248-256,262-271,278-288,294-296,300-312,318-328,330-332,334-344,346-358,360-365,367-373,375-383,385,387,389-396,399,402-413,415-416,419-421,424,NW01010101010111551101015500550101115511010101010101
30b2o38bo$30b2o18b3o18bo7$9bo$10bo$8b3o10$70b6o$19bo50b2o2b2o$20bo49bo
b3o$18b3o50b3o$72b2o5$39bo$5bo27b2o3bobo$4bobo26b2o2bo3bo$3bo3bo28bo5b
o$2bo5bo26bo3bo3bo$bo3bo3bo24bo5bo3bo$o5bo3bo24bo2bobo2bo$bo2b3o2bo26b
2o4bo$2bo5bo28bo3bo$3bo3bo30bobo$4bobo32bo$5bo64b2o$70b3o$70b4o$70bobo
$70b3o$69b3o$70b2o!
LifeViewer-generated soup:

Code: Select all

#C [[ RANDOMIZE RANDWIDTH 128 RANDHEIGHT 128 RANDFILL 25 ]]
x = 3, y = 3, rule = R2,C0,S4,21-22,24-25,27,36-40,42,55-58,89-91,104-110,120-127,137-143,170,172-178,187-195,205-211,222-227,240,256-260,272-279,289-295,307-311,326-327,342-345,357-363,374-379,393-395,410-411,B10-12,14-16,26-34,42-54,58-61,63-84,94-101,110-113,115-121,126-128,132,134-140,142-144,149-163,165-170,178-186,189,194-196,199-204,210-212,218-222,224,226-228,233-245,248-256,262-271,278-288,294-296,300-312,318-328,330-332,334-344,346-358,360-365,367-373,375-383,385,387,389-396,399,402-413,415-416,419-421,424,NW01010101010111551101015500550101115511010101010101
bo$2bo$3o!
Probably there are some higher-period oscillating curiosities, maybe there's an infinite growth. I would be surprised to see a gun in either of these variants. On the other hand, the subspace (even the subspace keeping these reactions) is horribly large, and probably there *is* a gun and other interesting stuff in *some* variant, but finding an example might be somewhat of a challenge.
Conway's-C4 wrote: February 3rd, 2025, 8:22 am
confocaloid wrote: February 2nd, 2025, 9:39 pm
Conway's-C4 wrote: February 2nd, 2025, 9:07 pm [...] This is just a thought experiment to see if "interesting" rules have interesting interactions with uninteresting rules.

And that rule is Sacs (I just made up the name)
Here I "added" the glider, the block and the blinker from Conway's Life. The old medium-period oscillators (p11, p13, p17, p19) no longer exist, but there might be something different: [...]
[...]

Edit: Glider Rune

Code: Select all

x = 11, y = 11, rule = R2,C2,S4-11,21-27,36-43,52-59,68-75,89-95,104-111,120-127,136-143,153-159,170,172-179,187-195,205-211,221-227,238-243,256-263,272-279,289-295,306-311,323-327,340-347,357-363,374-379,391-395,408-411,B10-12,26-28,42-44,58-60,74-76,94-96,110-112,119-121,126-128,142-144,158-160,178-180,189,194-196,210-212,226-228,242-244,262-264,278-280,294-296,310-312,326-328,346-348,362-364,378-380,394-396,410-412,NW01010101010111551101015500550101115511010101010101
5bo$4bobo$3bo3bo$2bo5bo$bo3bo3bo$o5bo3bo$bo2b3o2bo$2bo5bo$3bo3bo$4bob
o$5bo!
Edit 2: Glider Deforming Reaction

Code: Select all

x = 17, y = 11, rule = R2,C2,S4-11,21-27,36-43,52-59,68-75,89-95,104-111,120-127,136-143,153-159,170,172-179,187-195,205-211,221-227,238-243,256-263,272-279,289-295,306-311,323-327,340-347,357-363,374-379,391-395,408-411,B10-12,26-28,42-44,58-60,74-76,94-96,110-112,119-121,126-128,142-144,158-160,178-180,189,194-196,210-212,226-228,242-244,262-264,278-280,294-296,310-312,326-328,346-348,362-364,378-380,394-396,410-412,NW01010101010111551101015500550101115511010101010101
11bo$5b2o3bobo$bo3b2o2bo3bo$2bo5bo5bo$3o4bo3bo3bo$6bo5bo3bo$7bo2bobo2b
o$8b2o4bo$9bo3bo$10bobo$11bo!
Furthermore,

Code: Select all

x = 21, y = 13, rule = R2,C2,S4-11,21-27,36-43,52-59,68-75,89-95,104-111,120-127,136-143,153-159,170,172-179,187-195,205-211,221-227,238-243,256-263,272-279,289-295,306-311,323-327,340-347,357-363,374-379,391-395,408-411,B10-12,26-28,42-44,58-60,74-76,94-96,110-112,119-121,126-128,142-144,158-160,178-180,189,194-196,210-212,226-228,242-244,262-264,278-280,294-296,310-312,326-328,346-348,362-364,378-380,394-396,410-412,NW01010101010111551101015500550101115511010101010101
$5bo$6bo8bo$4b3o2b2o3bobo$9b2o2bo3bo$12bo5bo$6b2o3bo3bo3bo$7b2obo5bo3b
o$6b2o3bo2bobo2bo$12b2o4bo$13bo3bo$14bobo$15bo!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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PiSpaceships
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

A puffer that I found while rulegolfing:

Code: Select all

x = 7, y = 6, rule = B2-a3i/S012
bo3bo$o2bo2bo3$2bobo$3bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi »

PiSpaceships wrote: February 17th, 2025, 4:11 am A puffer that I found while rulegolfing:

Code: Select all

x = 7, y = 6, rule = B2-a3i/S012
bo3bo$o2bo2bo3$2bobo$3bo!
2c/4 ship, same simplified speed:

Code: Select all

x = 23, y = 10, rule = B2-a3i/S012
19b3o2$20bo2$bo3bo$o2bo2bo$18bo3bo2$2bobo14bobo$3bo16bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

PiSpaceships wrote: February 17th, 2025, 4:11 am A puffer that I found while rulegolfing:

Code: Select all

x = 7, y = 6, rule = B2-a3i/S012
bo3bo$o2bo2bo3$2bobo$3bo!
It is a p62 orthogonal c/2 puffer:

Code: Select all

x = 61, y = 25, rule = B2-a3i/S012
42bo$41bo$41bo2$45bo$40bo2$43bo$7bo39bo$38bobo9bo5bo$o30bo6bo16bo$59bo
$4bo2bo3bo5bo38bo3bo$59bo$o30bo6bo16bo$38bobo9bo5bo$7bo39bo$43bo2$40bo
$45bo2$41bo$41bo$42bo!
#C [[ THEME MCell GRID TRACKLOOP 62 31/62 0/62 ]]
By placing two interacting instances of that, I found a p134 orthogonal 24c/67 puffer:

Code: Select all

x = 52, y = 29, rule = B2-a3i/S012
30bo$30bobo$32bo3$28bo11bo$2o8bo10bo3bo3bo9b3o5bo$26bobo2bo8bo7bobo$
26b3o4b2o6bo6bo2bo$28bo6bo12bobo$21bo12b3o5bo4bo$33bobo$29bo3bo5bo$37b
2obo$26bo2bo3bo3bo3bo2bo$37b2obo$29bo3bo5bo$33bobo$21bo12b3o5bo4bo$28b
o6bo12bobo$26b3o4b2o6bo6bo2bo$26bobo2bo8bo7bobo$2o8bo10bo3bo3bo9b3o5bo
$28bo11bo3$32bo$30bobo$30bo!
#C [[ THEME MCell GRID TRACKLOOP 134 48/134 0/134 ]]
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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CARuler
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

c/4o + more

Code: Select all

x = 56, y = 7, rule = R3,C2,S6-11,B9-11,NW0010100000000010434010030300104340100000000010100
obo2$obo$54bo$30bo24bo$29b3o21b3o$28b2ob2o!
edit:
c/4d

Code: Select all

x = 284, y = 172, rule = R2,C2,S6-11,B9-11,NW0101014341030301434101010
158bob2ob3o3bo2bobo5bo2b2o2bo2bobo3b3obo3b2o2bo3b5o2b4o7bob2o4b2o4bob
4o3b2obo5bo4b3o3b2ob3o2bo$155b2o2bo2bob2ob6ob2o3b2obo3b2obob3ob2ob5o2b
obob2o5b2o5bo4bob2o2b4o2bob2ob8o3b3o2bo6bo2b3obob3obobo$155b3ob2obo2b
2o5bobob7ob2o2bobo2b2o6b2ob2o2b3ob4ob2obobo3b2o2b6o2b2o4bob6o3bob3obo
b4obob2o2b2o2b5o$158bo2b14obob5obob7obo2bobo4b3o2b3o3b2ob2ob2o2bo4b3o
b3ob2o2b2o2bo4bo2bob2o3bo2b2ob3ob2o5b3obo$157b5obob2o9b4o2b4o3bob4ob4o
bob2obobob2o2bo4bobobo3bo3b3o4b6o3bo4bo4b3o2b3ob2o2b2o3bobo3b3o$155b7o
2b2ob8o3bobob2o2b2ob2obobob3o2b3o3b2o2b2o2bobob2ob2ob4o2b2ob2o2bo2bo3b
o8bob2o3b3o6bo3b3obo2b2o$155bo2bo2bo2b2obobo5bobo2b3o6b2o3b3ob2o7b6o2b
obo9b4obo3b2ob5o5bobob3o4b2o4bobob3ob3o3bo2bo$156bob3o3b4o2bob2ob2obo
bob4o4bob3o5bo4b2o3bobobobobobo9bo2b9o3b2o3bo3b3obob4ob3o2bob3o2b3obo
$157bobo2bobo3bo2bob3ob2o3b4obob2o2b2ob2o2b4ob3o2b3obo2b4obo2bob2obob
3obob2o2bo2b3o4bo4bob2obobo6bobo2bobo2bobo$155b2obob2o3b6o2bo2b2o2b6o
2b2obo4bo6b3o2bobobo2b2o2b2obob2o2bo2bo2bo3b3o2bobo2b2obo2b3ob4o3bob2o
4bobo2b2obo$156bo4b5o3bobo3b2obob8obo2b2o5b2obo2b3obo3bo2bobo3b3ob4o6b
o2b3ob2ob2obo2b3o3bob2o2b2o2b3ob4ob4obo$156b7o4bob2obo3bobo3bo2bobob4o
2bo3b4o3b2o3b5o3bo3b3o3b3o3bob5obo2b3o3bo5b5o8b2o6b2ob2o$157b3obo4b2o
2bob3ob2obob6ob4o3b3obob2ob2obob6ob3obob5o2bo4b2ob2o3bobob2ob3o2b4ob3o
b3ob3o4bo4bo3bo$157bobo2b2o2b2o8bo2bo2b2obob2o5b4ob3ob3obob4o2b2o3b2o
3bob2obo3bobo3b5o3bo2bo2b5o2bob3o2bo2bobob2o5b2o$155bo3bo2b2o6b2o6b2o
bobobobo4b5ob2o2b3obo2bob4ob5o3b4obo2b2ob3o2b3obobob2obo2bob6obo3b2ob
4ob7o$2o156bobobo3b2ob2o4b2o3bo2b6o3b2ob3o2b7o2bob2ob4o4b2ob3o3b4o3bo
b3obo2bobob3obobob5o5b2ob2ob3o5bo$obo157b3o2bo6bobo7bobo3b4ob3o3bo3b2o
7bo2b2obo2b2ob3o2b3obo2b3o2bo2b3ob2ob2ob2o5b2o7b4ob2obobob2o$o154bo3b
o4bo2bob3o2b5ob2obo2bobo2bob2o6bobob2ob2o3b2obo2bo2b3o5b2obo3bo5bo2bo
bob2obob3o2bo3b3o6b2obo2bobo$155b2obob5o3bo4bob2obo2b2o3bo3b3obo2bobo
bobobo2b2obobo3b2o3b2o2b3o2b4o2bobo2b4obo2bo4bo2bo2b4ob3o2bobob3o3b2o
$156bob2o4b2obobobo4b2obobob3obob4o3bo3bobob3o2b2o3bo7b2obo3b2ob5obob
obo4bo4b2o2bo3b3o4bo4b3ob6o$74bo85b3o2b3o3bo4bo9b4obobo4bo2b2o2b3ob3o
2bobo3bo6bob2ob2o4b2o2b3obo4bo4bo2bo3b2o2b4ob3obo3b2obo$72bo2b2o78b3o
2bo2bo2bo2b4o3bo3bobo2bo2bob2o3b3ob2o2b4obo3b2ob2obo3b4o3b3obo4bobobo
b2o4bobo3bo2bob3o2bob3o2bo2b5o2bo$71b2o2b2o84b4obo2b2obo2b3ob2obobob3o
bo5b2obo5bo4bobo2b2ob2o3b2ob2ob2o4b2obo3b6o3bo2b3o6b4o3bobob3o6bo$157b
3o4bo2bo2bob2ob5o3bob2o2b2ob5o2b2obob2o2b2o2bo3bo3bobobo4b3obobo3bo2b
4o2b7o2bob12obo3bo2b2o2bo$71b2o82bo2b2o2bob2ob5o7b5ob3ob8o2b2ob3ob5ob
o2b2obo2b2obo2bob2ob4o7b7obo2bob2obo2bo5b2ob2obo2bo4bo$155b3ob3ob2ob3o
b3ob2obo2bo2bo3bobobo5b2ob2o2bo3bo4bo3bo2b2o2b2o3bob2ob2obobobob2o2b4o
bo2bo2b4ob3ob4o2b3o2b3obo$155bobob2ob2obo2bo2bo2b5obo2b6obobobobo2bob
2o2b5ob5o3bo3b2obobobo5b3o2b2ob2ob3o7bo2bobobobo2bo4b2ob7o$155b2obob8o
b2ob4obo2b2o6bob2o2b2obob2obobo5bobo2b3o3bob4o2b3obob6obob4o2b2o2bo2b
2o7bo2bo2bob3o4bo$155bobob2o5b2o2bob3obo5b2ob4obobo4b2o5b4ob2o8bob2o5b
2o2b3o2bobobob3obobo2bo4bob2obo2b4obo2b2o2b7o$158bobob2obob2o2b6ob2o4b
ob2ob2obobob2ob3o4bo2b3ob2o2b2obo2b5o5b3o2bo2bo2b4obo6b2obo2bobo2b4ob
4o2b3o2bo$155bobo2bob3obo2bob3obobobo2b2ob2o4bo3b2o5b2o2b2o4b2ob2o2b3o
bob2o3bo6b2ob3obob2obob2o2bo2b2obobobo2b2o4bo2b2o4bo$155b2obob2o4b6ob
5o3bo3bo2b2o2bob2o4bobob3o4bobo2b3obo2bob2ob2o2b2ob5o4b2o3b2ob4o3bobo
2bob2obobo3b3obob3o$156b2o2b2o3bob2o2b4obo2bo2bo6b3o2b2ob4obobob2o2bo
4bo4bobo5b3obobo2b3ob5o3bo3bo2bo3b2ob2ob2ob2ob4o3bo2bo$157b2o2bo5b4o3b
3ob2obob3ob2ob2o2b2obob2o3b2o3b3o3bobo2bobo4bo2bo5bo2bob3o3bob3obob6o
b8obo4bo2bo3bo$155bo2b4ob3ob2o3b2obob3o6b2o3b2ob2o4b3o10bo2bo4b2o3bo7b
o2b3o2bobobobo2b2obobo4bo2bob3o5bob4ob2o$155b2ob2ob2o2bo2bobo2b3obo2b
4ob4ob2o3bo8b2ob3o2b2ob2obob2o3bo3b5obo2b4obob3obob2obobo2bobobo2bo4b
4o3b2ob2o$158bo2b2o3b2ob3o2bo2bob3o2b2obo3bo5b8o2b2o3bo4b4obob4o9bo5b
o4bo3bob2ob2o3b5o3b2ob3ob2obob2o$155b3o2bo3b2obobo5b3obo3b2ob3o2b3obo
4b2ob2o5bo3bob4obo3b3o4bob2o2bo5bob2ob2o3bob2obo4bo2bo2bobo2bobobobo$
155bobo3bobo3bob2o5b4obobo2b2o4b7o3bo3b2o4bo2b4ob2obob4o3bo2bo3b2o3bo
b2o2b3o2bobo3bo3bobo2bo2bob3obobo$159bob5obobo9b5ob6o2b2ob2obo2b2ob2o
b2o2b4o2b3ob2ob13o2b5ob3obo2bob4o3bobob2o3b5obo2b2obo$156b3o3bob2o4b3o
bo2b2o2b2o2b3o2bobob3obob2obo5bob2ob2o3b2ob2ob2ob2o3b2ob4ob4o2bo5bo3b
2ob2o2bobo2b3o7b2ob2o$155b2o7b3ob4ob5ob2o2bo2b2o8bobo3bo3b3ob6o2bob3o
2bo2bo2b2obo3b2o2b2o2b6ob2o3bobob5o2b3obo2b4o2b2o$157bob10ob6obo4bobo
2bob2obob3ob2obo2b2o2bob2ob2o3bob2ob3o4b3obob2o2b2obob2o2b3o2bo2b2o2b
obobob4obo2bo2b6o$157bo5bob2obo2bo3bobo4bobobo2b2ob2o4b2o2bob2o2b3o4b
ob2obob2o2b3obo4bobo2bob2o3bobobo3bo3b2o2bobobo2bob2obobo$155bob3ob2o
bobob2obo2bo3bobo3bobob2obob2o4b3obobo6bo4b2o3b3obo3b3obob3obo2b2obob
o2bo2b5o2bobo2bo2b4o3bob4obo$156bob2o2b2o4bob2o2bob8ob2obo2b2obo2bobo
7bob2o8bobob3o2bo3b4o4b2ob3ob2ob2o3bobo2b2o3b5o4b3o3bob2o$156bobo8bob
o3bobob2o2b2o2bo3bo6b2obo2b3o3bob3o2b3o3bo2bob5o2bo5bobo3bobo2b3ob3ob
2o9bob4ob3obobo$155bobo2b4ob3o3b7ob3o3bo4b3ob2obobo3bob2o3bobo3b3obo2b
o3b4o3bob3obo3bobob2obo3b2ob2obob2o2bo2bo4b4o2b2o$155bo5b2ob2o6b3ob2o
bo7bo5bo3b2o2b3obobo2b3o3bo2bobo5b2o2b3ob4o2bo2bo3bo2bo2bobo2bo2bobob
2o3bob2o2b2obo$156b6obobo5b2o7b2ob2o2b2obob2obob3obo2b2ob4obobo2b3obo
7b2ob3ob5ob3obo2bo2b4o3b4o6bo2b4o3b2obo$9b2o144b2obo2b2obo2b5obobo2bo
b3obo2b2ob2obobo3b5ob3o3b2o2bo3b2o3bob2o2b2ob2obo2b4ob2ob3ob6ob2o2bo2b
o2bobo3b2o4bob2o$9b2o145bo3b2ob2o4bobo2b2ob6o2bo2bo2bo3bob2ob2obob2o4b
2obo2bobo2bo3b2o5b3obo2bo3b5obo2b4o5bo7b2o3b3o3b3o$156b2o3bo2b3o3bo3b
2ob3obo2bo10b2ob3ob2o2b2o7bob2ob2o2b4o2b3ob2ob4ob4obo2b3ob2o4bo3b2ob2o
b3ob2obobob2o$11bo144b3obobobo2b3ob3o2bob2obo2bob2obobob3o2bo2b6obo4b
ob4obo3bo3b2o4b6o4b2ob3o2b2o5b5o5b3ob4o2bo2bo$157b2obo5bo3b2obo2b2o3b
3o3b2ob2ob2o4b2o3bo2bo3b2obo3b5o2bo4b4o2bo3bo3bo4bo2bob2o2bo2b3ob3obo
bo4bobo$155b4o3bo3bo3bob2obobo2bob7o4bo3bo2bobo2bobob4obo2b2ob2o3bobo
bob4o4bob2obo2b3obo2bob3o4bo4b2o3b3o2b3o2bo$155b3obob7o4bob3o2b2obo8b
2obobo4b3o2b2ob4ob2o3bo3b3ob2ob2o2b4obobo3bo2b4obo3b2ob2ob4o2b3o4b3o4b
o$155bob5ob3o2bo3b3ob3ob3o5bob2o4b2o2bo5b5ob2o2b2o2bob6o3bob4obo4b4ob
2obobobo2bo2b3ob2o2b2obo2b5ob2o$156b3obo2bobob3ob3o2bob6ob2o2bob2ob3o
b2obo2b2ob2ob2o2b3o3bo2b2obobobo3b2obobobo4bo5b2o2bo9bob4o3bob6o$156b
o4bo3b6ob2ob2o3bo2bob3o2b2obobo4bo2bob2o2bo2b3o4b2o2bob2o4bo5bo3b3o2b
ob2obob3o2b3ob3obo5bo2b2obob3o$155b4o3bobobo2b2o2bo4b6obob3o2b2ob2o3b
ob2obo2b2ob2ob3obob10obob2obo2bobobo2b3o3bob2o3bob4ob3ob2obo2bob4obo$
71b2o86b3o2b2obobo2b2obo3b2o2b5o3b2ob2o3bob2o2bo3bo2b2o2bobob2o2b2o3b
4obob4ob2obo2b2obo2bobobob2ob2ob2obobob4obobo2bo$71bobo83b2o2b5o2b2o3b
o5b2obo5bo3bo5b2o5b2o2bo3bo2b3o3bo2bo3bo3bo2bo2bo2bo4bob2obobob5obo8b
2ob2o2bo2bobo$72b2o82b3ob5o2bo2bo4b3o3bo2bobob2obo4bobob3obobob3o9bob
4o4b2ob4ob3obobo2bo5bo5b3obo2b4obob2ob2obobobo$157b2obob2obob4o2bo4bo
2bo2b5o13bobo3b2o3b2o4bob2ob3o2b3o2bo3b4ob2obobo2bob2o2bobobo2b3o2b2o
bob4o2b4o$156bobobo2bob6o2bob3ob3o2b2o2b2o3bob5obob4ob6o2b2ob2o4b2o2b
o3b4o2b4ob3ob3o3bobob3obob2obob3o2bob4o3bo$156bo3bo10bo3bo2b8o2bo2bob
ob2o2bobobo2bo2bo4b4o2b2ob3ob2obo4b2ob2obo3bobobo4bob2o3b4obo2bo2b2o2b
ob3ob2o$155b2o2bo2b2ob3ob2o2bo3bob5ob5ob2o3b3obo3b2o4bo2bo6b2o3bo4bob
2ob3obob2ob4obob2o2b2o3bobobob5o2bob5o$155bob2ob3obo3b2obo3b2o3bob5ob
2o2b2o2bo5b3ob2obo3b3o4b5ob3o2b3o5bob4ob2obob2o2b5o3b3o6b3obobo4bo$158b
ob3obobo2bobo4bobob2ob2obobobobob5obob2ob6o2bobobo2b2obo3b5ob2ob3o7b2o
b2o4bob3o2bobob3o2bobo2bobo2bo$155b2o3b2obo5bob5obob4ob2ob2obo3b2o9b2o
3b3obob2obobob2o2b3o3bo3bob2ob3ob5ob5o2b2o2bobobobo2b4ob4obo$155b2o2b
2o2bo2bobob2ob2obobo2b2o2bo2b3obobob2ob2ob4ob6o3bo7bob7obobob2o2b2obo
4bo2b3obo2bob3o5b4obo2b3ob2o$157b3o4bobo3bobo5b3o4bo4bob4ob2o2bobob9o
bobob5ob4o3b3ob2o2b2o2bobo3b2o2b3o2b3ob3o2b4o3b3o3bo$155b4o4bob2ob3ob
obob2obob2obo2b2obobobobob2o5b6o2b2o4b5ob2o6bob3o3b2ob2o4b6ob2o2b2o2b
o2bob2o3bob2obo$155b2o3bo2bobobob3ob4obo2b3ob2obo3b2obo5bob2o4b7o4bo2b
o5b3o4bo2b3o2b4o2bob2o4b2o3b3ob2ob2o4b2ob2o2bo$155b3o3bob3o4bob2o4bo5b
3o3b2o3b2o2bo2b2obo3b4o5bo2bo3bobob2o3bobob2o2b9ob2obo2bobob3o2b4ob2o
3b2o3bo$155bobo5b2ob2ob3ob2o2bo4b2o3bob2ob2o4bo4b3o2bobobob2o2bo3bo2b
2o2bob2obo2bo6b2o4b2o2bo9bo2b5obo3bo2b3o$155bobo3b2o2b2obo2bo2bo3b2o2b
o3bobo4b2ob3obo7b2o2bo5bo3b2obo2b2obo2bo2b2ob3o5bob2o2bobobob2o2b4obo
bobobo2b2o2b2o$155b4obo5bo2bo5bobo2bo2b2o2b5o3b4obo2b5ob2obo2bob4o2b2o
2bob2o2b3obo2b6o3bo5bobobob2o2b9o4bo2b3o$155bo4b2ob2ob2ob6obo3bob4ob2o
3b4o3bo2bo2b2o6b2o5b3o3b4o2bo3b2ob3ob2o2b2o4b4obo4b3obobo2bo5bob2obo$
155b2ob2obobo2bo6b5ob5o3b5o3b4o3b2ob4ob2ob2o2bo3bobo4bob2o2bo2bobob2o
2b2obob2ob3o2bobob2o2b4o5b2o3bo$156bobo2bo2b2ob2o2b3o3b3o3b2o2bob3obo
bob2o4bob2obo3b4ob6ob2o2bo6b3obob4ob3ob2o2bo3bob3o4bob2o3bobob2obo$155b
obobo3b3ob2obobo5b2ob4o2b2o5bobo2b5o2bobo2bobo2bob2ob2o2bo5b3o2b2o2b5o
bob2obob5o6bo2b2o4bob3o3bobo$155bobob2o2b2obo4b3o3bo2b4o2b6ob2obo3b3o
bob3obo2bob3ob3o5b2o3bo3b3o2b2o5bobo2b3ob3o2bo2bo3bobobobo2b2o2b2o$156b
ob2o2bob2ob2o2b6obobo2bo3b2o2b4o2bob2o2b3ob10ob3o5bobob2o4bob3o3bo2bo
4b4o2b2o2bobo2bo2b3o3b2ob2ob2o$155bobo2bo7bo2b2o5bobo2b3ob2ob2o2bobob
3o2b3o4b5ob2o4bob2o4b2o2b3obo4bo2b2o4bo2b3o2b2o2b3obob3ob5ob2o$158b3o
b2obo4bob2obo2bo3bob2obob3ob3o2b3o3b2o4b3o2bo5bobo2bob3ob3o2bo2b4o3bo
2bobob3ob2o4b2o2b2ob3obo4bo2bo7$115b2o$114bo2bo$117bo$46b7o62b2o$46bo
5bo45$121bo2$122b2o$122bobo$123bo47b2o$170bo2bo$170b3o17$109bo$110bo$
109bo$110bo$109bo$110bo$109bo!
edit2:
c/2o

Code: Select all

x = 238, y = 94, rule = R3,C2,S6-12,B9-11,NW0001000000000000434001030301004340000000000001000
107bo2bobob2obo4bo2bob4obo3bobobobob4ob2o6b4ob3obobob3ob3o7bob2obobob
2ob3ob2ob5ob3o2bo7bobo2bo2bo2b2o2bo$104b2o2bo2b2obo4bob2o6b3o2b2o2bob
3ob3ob2o2b2obo4b4ob5obob3ob2ob5o3b2o2bo3bo2b2obo2bob2ob8ob2obo3bobo2b
o2bo2bo$106bob3o7b2o2b2ob3o3bobo4b3obo2bo2b3o2bobo3bo5bobo3bobo8bo2bo
bobobo2bo5b3o4bo2bo4b2o3b5obo8bo$104b2ob2o2b7o4b4obo2bob7ob3ob2obobob
7o3b2obob2o5bo6b3o2b3o3b2o3b2o2bobo3b2o3b2o2b2o2b3o2b2o3bo2bob4o$104b
3o2b3o2bo2bo4b2o2b2obo2b4obob2ob5o2bobobob5obo2b7obobo3b2obo3bo2b2obo
7b4obo3b3o4bob4ob3ob3o5bob2o$104b2ob2ob2ob4obob2o2b3obo3bob3ob4o2bobo
3bob5o2b4o8b5o3b5ob3o2bo3b4o2b2ob2obobobobo2bobo2bo5b3o2b5obo$105bo3b
o4bob4o3b2o2bo4bo2bo3bo2b3obob4ob2ob2o4b2o3bob2o2bobobo2bobo5bo2bo3b3o
2bo2b2o3b2o3b5o2bo3b2o2b3obobobo$104b2o5bob3o2b2obo3b4o2b3o2b4o2b5ob3o
9bob2obobob3obo2bob2o4bo2b4ob5ob3o2b7obobobo2b5obo2bo6b3o$105b3ob2obo
b2ob7obo2b2ob2o2bo2b3ob2o2bob3o6b3ob2ob2o2bobob2ob2ob4o4b4obobobo3b2o
b2o2b6o4b3o3b4obobob2o3bo$104b12obo2bo2bob3obob2ob2ob2o4b6ob2o2bob3ob
3o3b2ob2ob2obo3bo4b4o2bobo3b2o3b2obob2obo3b3ob3o3b3o3bo3b3obo$104b2ob
3ob5ob3obob2obo4bo2bo6bo3bo2bob4obob5o2bo3bobobo2bo2bo2bobo2bob2obob2o
b3o3b6o2b3o4b3obo4b3obob3obo$105bob3ob2ob3o5b2obob2obob4o2b2o2bo3b3ob
2ob2o2b5ob2o3bobobobo3b2o4b6obobob2o5bo5b3o5bob3o2b2ob2o4bo3bo$105b3o
b3o4b2o2bob2ob2o2b5o4bob2o3bob3obobo2bob6o5bob2obo5b2ob2ob6o2b3o6b3o2b
2o2bo3b5o2bo2b3obo3b3o$104bo2bo2b5o3bo2b4o2b5obob2obo2b2ob2o3b3o2bo2b
obo2bob2o2b3ob2obob4ob2ob4o2bo3b4obo5b2o2b2obob3o2bob2obo2b2o3bo$104b
3o3bo3b2ob3obobob2obob3obob3o4bo3b4ob4o2b3o2b4o2bo2bo2b3o3b3obobob4o4b
8o3bo3b3o2b3o2bo4bo5bob3o$105bo2b7ob2o2b2ob3obobob2ob3ob3o2b3o4bob4o2b
o2b3o2bob5ob2ob2ob2o5b2o2b2o2b3o2bobobobo3bobob3o2b5o2bob2o2b6o$104b2o
bo3bo5b2obo3bobo2bo2bo2bo2b5o2bo2bobo2b3o2bobo2b2o2b2ob3ob2ob2o2bob2o
2b2ob3o3b2obob2o3b2obo3bo2bob5o2bob3o2bo2b2o$104b2ob8ob4o2bobob2o6b2o
4bobo3b3o2bo7bo3b3ob2o2bo2bob2o2bo2bobo2bo5b7o3bo2b3ob3ob3obo6bo3bob2o
2bo$104bo3b2o2bo3bo2b2ob2o7b2o2b2o2bobo2bo2bobo2bobo3bo3b2o3b3o3bob3o
bo5b4o4b3ob2o2b3o4b3o5b2o2b6obob2o2b4o$105bo2bob2o3b3obob2o2b4o3b7o2b
ob2o5bobob2obo2bob2o2b2ob8obobob2ob4o5b3ob4o3bo3bobo4b4o2bo3bo2b4obo$
105b3o4b2obo2b3o2bobob2obob2o4bo5bobobobo2b3obo2bo4b6ob2o2bobo2b2obob
6o2bo3bobobo3b4obobobo4bob3o3bo3bob4o$105bo2b4ob3obob2o4b2obo3bo2bo5b
4o5bob3o6bob2o6b3o4bobobo3bo2b2obob4ob6obo2bo2b2o3bo3b3o2b2ob2obo4bo$
104b2o2b2obob3o2b2obo4bob3ob2o4bob4ob4o5b6ob7obo7bob2o2bob2ob2o2b6o3b
ob3ob2ob4ob3o2b4obo7bobo$104bo4b2o2b8o4bo2bo2b4o2bo3b2ob2ob2o2bo5b3ob
2obo3b2ob6o5bob7ob2o2bob2obobob3o2bobobob2o2b3obob3o2b2obobo$108b2ob2o
4b5obob3o3bo3b2o4b3o2bo2b2o2bobo2bo2bobob5ob2o5b3o5bo2b3o2bobo2b2o2bo
2b3o6b2o2b3o3bob2o5bo2bo$105b4o6b3o3b5o2bob4ob6o3bob3obo3bo2b2o2b2ob2o
bob9ob2o3bo3bobobobobobo3bo2bobo2bobob4obob2obo2b2o3b2ob2o$105bo3bobo
b2obo6bo3bobobo2b2ob4o4b2o2bo4bobo4b2o3b4obob2ob2o2bo2bob8o3b2obo3bo4b
3obobo4b2obobo2bob7o$104bobob2ob2ob2o2bob2o2b2obobob2o2bo3b2o2b2o5bo2b
o3b4ob3obo7bo2b7ob3o2b2o2bob3obo2bob3ob2o3b2obo2b4o2b3o3bob2o$106bobo
b3ob2obo2b5o2bob3o2bo3bobo2b2o3b2ob3o2bobobo3bob2obobo4b6obo3b2ob3o4b
3obo3bobo8bo7bobobo3b2obo$105b5o4bobob2obobobo4b2ob4o2bo2b3obo3bo2bo2b
ob4ob4obobobob2o3bo2b3o3b3ob2o5bobo2bob2obo4b3obobo2bobo3b5o$104b3o2b
2obob2ob2o3b2o4b4o2b2o4bobo2b2obo2bo2b4o2bo2b3o8b6ob2o3bo3b6o4bo2bob3o
b3o3b3o2b3o2b2o2b2o3bo2bo$108bob4ob3obob2ob3o3bob2ob4o2b4ob7o2b3o4b2o
bobob2obo4b2obob3ob2obob2ob3ob4o2b3ob2ob2obo4b5obobobo7bo$104bo2b3o4b
o3bo5bo2b3o5bo3bo2bo2bo2b2obo4b3o2b3o2bo3bobo3bob2obobo3bobob3obobobo
3b2o3b3o3bo3bobo4bo6bo2b3o$107b6obobob2o2b4o2b4o3bo5b9o2b2obobobo4bob
obo2b2o6b2ob2ob7ob3o6bobo2b3ob4o2bobobo3bobob5o2bo$105b2ob2o2bo2bob2o
b5ob2o4b2o2bo3bo5b2ob2ob3ob2ob3ob4obo2b2o3b3ob3o3b3o2b2ob2ob5ob4obo2b
o3b5o4b5obo3b4o$104bob2obobo2b3ob2ob6o2b2o3b5o2b7o2bo2b3o2bo2bo4bobob
ob6ob2o3b2o2bo2bob2ob2ob2obobobo3bobo2bo4bob2obo2bo2b2ob3o$106b2o2b2o
b4o2bo3bo3bobo2b3o2b5obo2b2o3bo2b2ob2obobo4bobob2ob3o5bob4o2bob2obo5b
o2bobobo3bob2o2bobo2b2ob2ob3obo2b2o$108b3obo2bo2b3ob2obobo5bo2b2obo2b
2obobob2ob3o5b2ob3o2bob3obo7b2o8bobob5o2b2o2bo5bob3o2b2o2b2o2b4ob4o$104b
o3b2o4bo2b2ob3o4bob2obo2bo6bobobobo4bo3b3o5b2ob2o2bo3b10ob2obobobo3bo
b5obo3bobob6o6b7ob3o$105bo2bo2b2ob3o3bo7bo2b2o2b4ob6ob4obo2b2ob4obo3b
obo3bobobobo2b8obo2bob2o2b2obobo4bobo2b2o2b4ob2ob2obob2o3bo$108bo3bob
6ob2ob3ob2obo9bob2o4b4obo3bo4bo5b2o2bo3bob2obobobo3bo6b3ob3o4b2o3bo4b
3o3b3o2bo3b3o$104bob4ob15o4b2obob3o2b2o2b5o2b2o4b2o5b2ob3obobob3ob5ob
ob2o2bob2o4bo2bo3b2o5b2o4bo3b2o10bobo$106b2o2bo2b5ob2o2bo2bo7b4o2b4o2b
ob3o2b2ob4o3b2ob4o2bo2bo2b3o4bob2ob2ob3o4b2obob3obo4b4o2bo3bo6bobob3o
$107bob4ob3ob2o2b6ob2o4b3ob2ob2o2bobo3bo2bob2o4bo4bobo2bo2bob2o2bobo3b
o2b2obo2bob5o3bo2bobo2bobo3bob3o4bobo2bobo$104bo5b2o7bo2b2o4bobo2b4o2b
2o3bo3b2o3b2obob2ob2o2bo3bobob2ob4o3bob3o6b2obobob7obo4bob3obob2ob4ob
2o4b2o$105b2obo2bob2obob2obo2bo2b2ob2o2b2o2bobobo3bobobob3o3bo2b2o3b3o
bo2b2o4b5o2bo3b3o2b4obo2b2obobobo2bobo3bobob2obo2bob4ob2o$104b2ob3ob5o
b2obo3bob4ob2obobo2bob2o3b5o2b2obo4b3ob4o6b5ob2obobo3b2o2b3ob3o3bo3bo
b2ob2obo5b2ob3o3bob3o$106b2o2b2o5bob2o2bobob2o2bo2bo2b5o3bo3bo2b2o6b6o
3b2o2b2o2b5obo6b2obobob2ob3ob2o2b2o3b3o3bo2bobo6b7o$104b6o2bobob2obob
o4b4obob4o3b3o2b2o2bobo2bobob3o7b2ob2o2bobo3bo3bobo3bo2b2o2bo3bo3bo2b
ob3ob3ob2o4b5obo5bo$104bo3bo3bobob2o4b2ob2ob4ob2ob2o2bo6bo2bo2b2o2b3o
2bobobobobo2bobo3bo2b2ob4o4bobo5bob2obobo2bob3ob5o4b3ob4ob3o$107b2o3b
ob2ob4o2b3o2bob2ob2ob2o2b4o3bobo3bobobo2b2o2b2obo2bo3bo2b3ob3o2bo2bob
3ob4o2bo3b4obobobo3b3ob3o2bobobo2bobo$104b7o3bo2bob4ob2o2b4obo2bobo2b
o3bobo4b3o2b2o3b2obo7b2obo2bobo2bobobobobo3b2o2bo6b3ob3o3bo2bo2bo2b3o
2bo2b4o$106bo2b2obo3b3o2bobob2o2bo2bobo4b4o3bo7b2ob3obob4ob3obob2obo2b
ob2obobo2b5o5bobo2bob2obobo5b3ob2o2b2o3b2obo2bo$105bo2b3ob3obobob5ob5o
2b3o3b4o3b3obo2b4o2bo2b3o3b4obob2o3bob4obobob4o7b6obobob5o2bo2b3obo5b
o2b2o$106b2ob5o4b2ob2o2bo4bob2ob3o2b3obobobo2bobobob5o2bob8o3b4o3b3o2b
o6b2o2b2ob3obo2bo3b5o3bob4o2bo2b4o$105b2ob2o2bo4bo3bo4bo4b3o2b2obo3bo
b2o4b3ob2o3b2o2bo2b2obob4ob3ob7o2bo2bo2bo5b2o2b6obobo4bo3bo2b2ob4obo$
104bobo2b3o2bob2o2b2o3bobo2bo2b3obob2o3bo3bo2b2obobo2b2ob2o3b2obo2bob
2o2bo5bo5b2o3b4ob2o2bo6b2obo2b3o3b2ob2obo4bobo$105bo2b4o3bo3bob2obobo
2bob2ob7ob4ob2o2b5o2bob2obob2ob2ob3o3bo4b3o3bob3o2b2o4bob2o2bob2o7bob
2o4b4obo2b4o$104bo2b6o3b2o2bobob2o4bobob3o2bobobob2o4bob6o2bo4bob5o2b
obo2b3o3b2o7bo4bob2ob7ob5o3bo2bo3bob3ob3o$105b5obob4o5bo2b4o2bo2b3o2b
o3bobob4ob2o2bob2obobo4b2o3b3ob5o2bo5bo2bob4o3b4obobob4o3b3obob4o8bo$
104bobo3b2o2bob2ob2ob2ob2ob3o3b3obob2o2bob4obo5bo4b6ob4ob3o2bo5bo2bob
3obo2bobo2bo3b4o3b2ob3ob4o2b3ob3obo$105b2o3b2o3bo5bo3bobo3b4o2b2obo4b
2obobobobo5b2ob5o3bo3b3ob5obo2bobobobo2b2ob3o5b2obobo2bo2b3o2bobo2bob
obo2bo$105b4o3b2obobobobobobo2bo2bob4o4bo2bob2o2b5o5bob2o2b2o3b3ob3o2b
o2bob3ob2ob2obob2o4bo3b2ob4o2b3o4b2o6b2o4bo$104b3obob2o4bob3ob7o2bobo
2bo2bo2b3o8bob3obo5b3o3bob2obo3bob8obo3b2obo4b3ob2o3bobob2obo2bob3ob2o
3b2o2bo$104b2o2b3o2bo2bobob4ob3o4b2obo2bo4b2obo2bob2obo2bob2o4b6obo4b
3ob3o3bob8o2b3ob2o5b5o2b3obobobob2o2b3o2b2o$106b2ob4obob4o2bob2ob2ob2o
b2obo3bob2o2bob2ob2obob2obo2bob2o2bo2bo2b2ob2o7b2o3b5o3bo6bo3bo3bo3bo
3b4o3b3obo$105bo4bo3bo7bob7obo4bob2o3b2o3b3ob2o2bob3o2bobo5bo2b4o2b2o
bob2o6bob5obo2bo2bobob3o2b6o2bobo3b3ob2o$104b4ob2obo8bobo2b3o2b3o3bo2b
5o2bo3bo2bo5bobo4b5ob3o2b4o2b2o2bo2bob2ob3o2b2ob2ob2ob6ob2o3b4obob4o$
105bo4b2o3b2ob3obobo2b3obob2ob6o2b3o2b3o2b2o2bo2b5o2b3o4bobobo2bo2bo3b
4o2bo5b5ob5o3b2o3b2o2bob6obo2b2o$105bo6b4ob2ob2o2b3o2bob3obob2obob2o5b
o2b3ob3o2bo2b2obobobobob4o2bobobobo2b9o2bob3obo2bo2b2o4b2obo5b3obo2b2o
$104bobobo3b2obo2b3obob2o3b3o4bob5obobo5b3o4bo2b4o3b3ob2ob3obo2bob3o3b
o2b4o3b2ob2o2b3o2b4o5b2o3b2o2b5obo$104bob3obo2bo4bobob2o2bo2b3obo3b3o
b3ob2o3bob3o6b2obob2obo2bo2bo5bo2bo5bobobo2bo2b7ob5o2b2ob3o2b4ob5o$104b
o3bo2bo5b5o4b2o4bo2bob3o2bo2b4obob2o2b2o2bob2ob2ob2o3b2o2b4obo2bobob2o
2bob2ob2ob2o4bobob3obobob2o2bo2b2obob4ob2o$105b4obo3bo2bo3b5o3bobo2b2o
b2o2b3o2b3o2bob2ob4o3bo3b3o4b8ob3ob3o4bo2bob2obo5b2obob4obob3obo2bob2o
b3o$104b2ob4o2bo3bob2o2b5ob2ob2o7b3obo2bob2o2b4obobo2b4ob5o3b3o2b2o2b
2ob2obob3ob2o2bobo2bobo3b2obo2bob4o2b2o4b2obo$104b2ob2o2bo6b3ob3obob2o
4b5o2bo2bobo3bobo3b2o3b2ob2o3b3o3bob2ob4o5b3ob7obob6o3bo4b3o2b2o4b2ob
5o$105b4ob4o3b2o2b2o5bob7o4bob4ob3o4bo4b2o2b2ob2obo3b3o2bo3b3obobob2o
b3o2b4ob2obobob3obob3ob4obo3bo3b2obo$111b3o3b3ob3obobobob3ob3o3b5o4b2o
3b3ob2o3bob3o2bobob3o2b3o3bob3obobo2bob2o3b2o4b4o2bobobo3bob2o3bob2ob
2o$106bobo3bo2bo2bob2ob2obo3bo2bo2bo4bo2bo5bobo2bobobo4bobo2b4ob3ob4o
bob2o4bob8o6bo3b2o2b5obobo2bobo5b4o$105b2o5b6o3bo2b3o3bob3o9bobobobo6b
2ob3obobo2b2o2bo3bob13o2bob3ob5o4bobo2bob2ob2obobob3o2b3o$104bobo6b2o
bob2obobob6o2bobo2b2ob3ob2ob3ob2o2bo2bobob3o5bo2bobo2bobob2o3b2o2bo2b
ob2ob2o4b2o2bo3bo4b2o2b2o2bob2ob2obo$106bobobob2ob6ob2ob2obobob2obobo
2b3o4bo2b2obo4b2obo3bo6b2ob3obo3bo5bob2o3b4o2bo2bo5b2obo4b2obo4bob2ob
ob4o$104b3o2b2o5bo3b2o2b2o2bob2obob2o2bob2obob2ob3o2b2o3bob9obo2b2ob2o
2b2o4b3o2b4obo2bobo2b5o2b2o5b3o2b4o2bobo2b2o$106b8ob2o3bo4b2obo2b2ob2o
2b3obob8obo3bob2o3b2o2b2o8bob3o3bo2b3o2b2o3bob3o8b3ob3obo4bobob2o5bo$
105b2o2b2ob2obob2obo5bob2o2bob2obo2b2o5bob4o4b4o4b2o2bob8o3bo3b2o2b2o
5bobobob8obo3bo2b2obob2o6b2obobo$104b2o2b2o2bobobob4o6bo2b3obo2b2obo4b
2obo3b2o2b2ob4o3b3ob2ob2o7bob2ob2o3b5o3bo6b4ob2ob2o2b3o2bo2b3o6bo$104b
4o3b3obo3b3o2b3o3b9obob2o2bo2bo4b4ob5ob2o3b3o3bo2b2obobo2b3obobo2bob5o
bo2bob3obo2bob2o3bobobobo2b2obo5$bo$2o$bo!
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

A simple low-initial-population two-glider collision explodes into an almost-spacefiller with internal imperfections. Different collisions result in different patterns with regular and irregular regions.

Code: Select all

x = 22, y = 7, rule = R2,C0,S0,24-256,288-1624,B1-5,136,157,161,286,380,406,536-786,NW7D7D197D7D7D0501057D19010001197D0501057D7D7D197D7D
bo$2bo$3o2$19bobo$19b2o$20bo!
#C [[ THEME MCell GRID ZOOM 4 ]]
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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PiSpaceships
Posts: 218
Joined: January 17th, 2025, 12:20 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

A 3-cell replicator in a stripe subrule of LifeSeedsBoard:

Code: Select all

x = 9, y = 115, rule = LifeSeedsBoard
$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDB
DBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BD
BDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD
$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDB
DBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BD
BDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD
$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBCACBD$BDBDB
DBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BD
BDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD
$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDB
DBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BD
BDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD
$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDB
DBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BD
BDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD$BDBDBDBD!
(it vanish because emulation board is finite)
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AforAmpere
Posts: 1422
Joined: July 1st, 2016, 3:58 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by AforAmpere »

Strange ship made of two RROs and an intermediate thing:

Code: Select all

x = 45, y = 67, rule = B3aijr4ceiqz5r6c7c/S2-i3-a4i5cejkq6a7c
2b3o$b2obo$3o$bo2bo$2b3o$3bo3bo12$21bo$20b3o$19b2o$21b3o$20bo$19b2o$
19b2o$25bo$23b3o$23b3o6$26b2o$25b3o$25bo2bo$26b2o23$42bo$41b3o$40b2o2b
o$39bob4o$38b3o$37b2obo$38b2o$39bo2b3o$42b3o!
EDIT, world's most over-the-top rake:

Code: Select all

x = 3, y = 4, rule = B3aijr4ceiq5r7c/S2-i3-ay4ei5cejqr6ack
2o$b2o$2o$o!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.
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LittleLWSS
Posts: 152
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Location: In a mysterious, historic, and powerful country in the East Asia

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LittleLWSS »

A 13x13 Methuselah I found randomly when I'm trying to defend-explosion my life-like isotropic rule.

Code: Select all

x = 13, y = 13, rule = B3-k7/S23-ck4q5y
b3obo3bobo$6bob2obo$bobobobo2bo$3ob2ob2o2bo$3ob3ob3o$o2b8obo$2bo2bo2bo
$2o7bobo$2o2b3ob3obo$2o3bob2ob2o$b3obobo2b3o$3obo3b5o$3bo2b7o!
It stabilizes at 2800+ generations.
This is LittleLWSS.

Code: Select all

x = 5, y = 4, rule = B3/S23
o2bo$4bo$o3bo$b4o!

Code: Select all

x = 5, y = 4, rule = B3-k7/S23-ck4q5y
o2bo$4bo$o3bo$b4o!

Code: Select all

x = 5, y = 4, rule = B3-y7e/S2-n3-cey4ei
o2bo$4bo$o3bo$b4o!
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confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

AforAmpere wrote: February 19th, 2025, 7:39 am EDIT, world's most over-the-top rake:
I think it is p1210 mod605 orthogonal 13c/121:

Code: Select all

#C [[ GRID THEME MCell TRACKLOOP 1210 0/1210 -130/1210 ]]
x = 265, y = 198, rule = B3aijr4ceiq5r7c/S2-i3-ay4ei5cejqr6ack
30bo$29b3o$28bo2b2o$27b3o2bo$28bob3o$30b2o$26b3o4b2o$27bo6b2o$27bo2bo
3bo$27b2o3bo24bo$36bo19bobo$35b3o17bobobo$34b2o2bo15b2o3b2o$34b2obobo
14b2o2b2o$34bobobo8b3o5bob2o$35bobo9bobo6bo$36bo9bo2bo$46b3o$47bo$43b
2o$43bobo$42b3obo$43bo2bo$43bo3bo$45bobo$46bo$166b3o10b3o$167bo11bo2bo
$164bobo2bo8bo$163bo3b2o9b3o3bo$157b2o3bo16b4o2bo$157bo2bob3o20bo$157b
o3bo4b3o7b3o6bo$158b3o4bo2bo7bo4b4o$166bo10b2o2bo$163bobo$162b2o2bo$
162bo2bo$163b3o8$68bo2$65b3o7b3o$64bo2bo4b2obob2o$63b2o6bo2bo3b2o$64b
2o5bo4bobo$65bo6bob4o$75bo14$139b3o$138bo2bo$86bo51bo3bo$138b2ob2o$86b
o$82b2o$82bo2b2o$83bobo$84bo4$256bobo$6bo248b2obob3o$5bobo247bo2b4o$5b
2obo254b2o$7bobo101bo152bo$7b2o101b3o147bo3bo$b2o2b2ob2o99b2o2bo145b5o
$2o4bo101bo3b2o137bo6bo2bo$b2obo103bobo3bo14b4o117bo2bo2bobo$2b4o2bo
98b8o13b2o2bo116bob2obob3o$6b2obo98bobo16b2o2bo116b2o4bo$7b2o99b2o6b2o
10bo2bo55b3o59b3ob2o$116bob2o9b2o55bo2bo60b3o$116bobobo65b2o2bo60bo$
116bo3b2o68b2o$115b3ob2o68b2o$114bobo2bo123bo$112bob5o124b3o$111b3o2bo
128bo$b2obo2b2o60b3o39b3o73b2o55bo$2o2bob2o60b2obo115bobo49bo2b2o2b4o$
bobo3bobob2o54b2o119b2o50b3o3bo2b2o$8bobob2o54bo2bo113b4o57b2o2b2o$10b
o2b2o54b3o113bo3b2o57b3o$4bob2o2b2obo56bo116bo2b2o57bo$5b3o2b3o173bo3b
o$7bo179bo2bo$8bo74bo2bo100b3o$9bo70bo2bo166bo2bo$5bo2bo241bo2bo$5b3o
70bo5b2o79b2o82bo4bo$6bo75bobo79bobo82b3ob3o$82bo80bo86bo3bo$80b3o81b
2o84bo2bo$81bo82b3o84b3o2$95bo$92bo$91b2o$94b2o$89b3o$88b2o$89bo4bo2$
92bo47$59b2o$59b2o$60bo$59bo$57bo$57bob2o$56b2obo$48bo7b2ob3o$47b3o12b
o$46bo2b2o10b2o4b2o$46b2o2b2o5bo8b2o$45b2o3bo7bobo11b2o$44b2o4bo2bo6bo
bo9bobo$45b2o3bo8b3o12bo$46b2o3b2o18bob2o$46bo21bobobo$46bo2bo17bo3bo$
48bo22bo$45bo3bo19bo$42bob3ob2o$41bobo2b2o2$39b2o2bo$39b2o$41bobobo$
40bo2b2o$40bo3bo$41b3o!
It reminds of the following rake, each is high-period, each is slow, each shoots spaceships in multiple directions:
confocaloid wrote: April 25th, 2024, 2:26 am An old 58c/748 rake

Code: Select all

x = 172, y = 73, rule = B2i3aijnr4cknqz5iy6ae8/S2-n3-a4aceiy8
116bo$115bobob2o$113b2o4bo$112bo5bo2bo$112b3ob2o2b2o$115bo3bo$115b2ob
2o$115b2o$47bo$46bobo$47bo8$151b3o3$63b2o$62b2o39b2o$64bo37bobo$102b2o
$159bo$158b3o$157b2o2bo$158bo2b2o$156b2o3bo$154b2o2bo$148bo6b2o$147b4o
2bobo$146b3o2bo2bo$146b4obo10b3o$67b2o56b2o20bo3b2o11bo$67bobo55bobo
20bobo4b2o3bo2b2o4b2o$68bo57bo27bobo3bobo6b3o$71b2o81bo2bo2b3o6b2o$70b
3o81bo$71b2o77bo2bo2b2o$152b2o7b3o$119b3o25bo2b4obo5bobo$97bo21b3o26bo
bo2bob2o3b2o3bo$96bobo21bo27b3o2b2o5bo3b2o$96b2o56b3o4bob3o$152b2o7b3o
$152b2o$b2o$3o$b2o4$130b2o$129bobo$129b2o14$76bo$75bobo$76bo!
#C [[ TRACKLOOP 748 58/748 0/748 ]]
confocaloid wrote: February 20th, 2022, 6:13 am
hotcrystal0 wrote: December 5th, 2021, 5:35 pm
hotcrystal0 wrote: February 8th, 2022, 10:00 pm
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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hotcrystal0
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hotcrystal0 »

Random replicator:

Code: Select all

x = 545, y = 554, rule = R2,C2,S9,28,B19,NW00010001000109090901000900090001090909010001000100
384$464bo$461bo2bo$461bo!
Edit: a c/2d and a breeder:

Code: Select all

x = 16, y = 5, rule = R2,C2,S9,B19-21,NW00010001000109090901000900090001090909010001000100
o$10bo4bo$o10bo2bo$bo10b2o$2bobo!
137 days until New York's age verification law goes into effect.

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!
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confocaloid
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

It's surprisingly difficult to find something compatible with that replicator, but at least it's compatible with its own black/white inversion, without increasing the neighbourhood range:

Code: Select all

x = 66, y = 71, rule = R2,C0,S1-9,12-14,17-19,21-49,52-54,57-64,66-69,72-105,107-109,112-346,350-404,B55-57,293-294,298,333-334,339,348-349,353-354,384,388-389,393-394,404,NW002D012D002D0505052D01050005012D0505052D002D012D00
15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$
15b51o$15b51o$b2o12b12o2b37o$b2o12b12o2b37o$15b51o$15b51o$15b51o$15b
51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b
51o$15b51o$15b51o$b2o12b12o2b37o$b2o12b12o2b37o$2o13b13o2b36o$2o13b13o
2b36o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$15b51o$
15b51o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$
15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$
15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o$15b27o!
#C [[ GRID THEME MCell ]]
the subspace wrote: optional birth conditions (337): 3-4, 8-9, 13-14, 17-44, 48-49, 53-54, 58-59, 62-66, 68-89, 92-94, 98-99, 103-105, 107-110, 113-134, 138-139, 142-145, 148-150, 153-181, 183-185, 187-191, 193-195, 197-241, 243-292, 295-296, 299-332, 335-338, 340-342, 345-347, 350-352, 355-383, 385-387, 390-392, 395-398, 400-403
optional survival conditions (337): 1-4, 6-9, 12-14, 17-19, 21-49, 52-54, 57-59, 62-64, 66-69, 72-105, 108-109, 112-161, 163-207, 209-211, 213-217, 219-221, 223-251, 254-256, 259-262, 265-266, 270-291, 294-297, 299-301, 305-306, 310-312, 315-336, 338-342, 345-346, 350-351, 355-356, 360-387, 390-391, 395-396, 400-401
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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Aleph
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Aleph »

2c/4 binary counter:

Code: Select all

x = 3, y = 8, rule = B3-nq4a/S23-an4a
b2o$bo$o$o$o$o$bo$b2o!
User avatar
R2INT
Posts: 811
Joined: July 2nd, 2024, 7:42 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by R2INT »

I have completed the list of the 19 transition subsets that, starting from B/S012345678 need to toggle together in order to keep the rule zebra-complementary (meaning that it behaves the same under black-white reversal and when XORed with checkerboard or zebra stripes):

Code: Select all

# Starting from B/S012345678, modify these transitions together
B04e6i/S2i4c8
B1c5cr/S3cr7c
B1e3e5e7e/S1e3e5e7e
B2a4jn6k/S2k4ry6a
B2c4it6c/S2c4it6c
B2e6e/S2e6e
B2i4c8/S04e6i
B2k4ry6a/S2a4jn6k
B2n4z6n/S2n4z6n
B3ak5j/S3j5ak
B3cr7c/S1c5cr
B3i5y/S3y5i
B3j5ak/S3ak5j
B3n5n/S3n5n
B3q5q/S3q5q
B3y5i/S3i5y
B4ak/S4ak
B4q/S4w
B4w/S4q
Visual Proof: Below is a diagram showing all the possible states the background in a zebra-complementary rule can be. In this diagram, moving from top to bottom inverts the 3x3 grid. Moving from left to right XORs the 3x3 grid with the checkerboard agar. Moving from F to B XORs the 3x3 grid with the zebra stripes agar. Notice how the zebra stripes agar is rotated when XORed with the checkerboard agar.

Code: Select all

# [[ THEME Mono ]]
#C NOTE: This is supposed to be a 3D diagram, but since LifeViewer is 2D (not 3D), this is the best I can do.
x = 24, y = 17, rule = B/S012345678History
5D.5D2.5D.5D$D3.D.D.A.D2.D3AD.DA.AD$D3.D.DA.AD2.D3.D.DA.AD$D3.D.D.A.D
2.D3AD.DA.AD$5D.5D2.5D.5D2$5D.5D2.5D.5D$D3AD.DA.AD2.D3.D.D.A.D$D3AD.D
.A.D2.D3AD.D.A.D$D3AD.DA.AD2.D3.D.D.A.D$5D.5D2.5D.5D2$3.5D8.3D$3.D12.
D2.D$3.4D9.4D$3.D12.D3.D$3.D12.4D!
When I put one of (B1c, B1e, B2a, B2c, B2e, B2i, B2k, B2n, B3a, B3c, B3i, B3j, B3n, B3q, B3y, B4a, B4q, B4w) inside the top left square (which is black in the first diagram), here is the resulting diagram:

Code: Select all

# [[ THEME Mono ]]
x = 148, y = 131, rule = B/S012345678History
5D.5D2.5D.5D8.5D.5D2.5D.5D7.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.5D$
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AD.DA2.D6.D2.AD.DA2.D2.D2.AD.DA2.D$D3.D.D.A.D2.D3AD.DA.AD8.D2.AD.D.2A
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A.D7.D2A.D.D.2AD2.D2A.D.D.2AD6.D2A.D.D.2AD2.D2A.D.D.2AD$D3AD.DA.AD2.D
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7.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.5D2$3.5D8.3D16.5D8.3D15.5D8.3D
15.5D8.3D14.5D8.3D$3.D12.D2.D15.D12.D2.D14.D12.D2.D14.D12.D2.D13.D12.
D2.D$3.4D9.4D15.4D9.4D14.4D9.4D14.4D9.4D13.4D9.4D$3.D12.D3.D14.D12.D3.
D13.D12.D3.D13.D12.D3.D12.D12.D3.D$3.D12.4D15.D12.4D14.D12.4D14.D12.4D
13.D12.4D3$32.5D.5D2.5D.5D7.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.5D$
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.DA2.D6.D2.AD.D.2AD2.D2A.D.DA2.D$32.D3.D.DA.AD2.D3.D.DA.AD7.D3.D.DA.A
D2.D3.D.DA.AD7.D3.D.DA.AD2.D3.D.DA.AD6.DA2.D.D2.AD2.DA2.D.D2.AD$32.D.
A.D.D3.D2.DA.AD.D3AD7.DA.AD.D3AD2.D.A.D.D3.D7.DA.AD.D3AD2.D.A.D.D3.D6.
D2A.D.DA2.D2.D2.AD.D.2AD$32.5D.5D2.5D.5D7.5D.5D2.5D.5D7.5D.5D2.5D.5D6.
5D.5D2.5D.5D2$32.5D.5D2.5D.5D7.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.
5D$32.D3AD.DA.AD2.D3.D.D.A.D7.D3AD.DA.AD2.D3.D.D.A.D7.D2A.D.DA2.D2.D2.
AD.D.2AD6.D2A.D.DA2.D2.D2.AD.D.2AD$32.D3AD.D.A.D2.D3AD.D.A.D7.D3AD.D.
A.D2.D3AD.D.A.D7.D3AD.D.A.D2.D3AD.D.A.D6.D.2AD.D2A.D2.D.2AD.D2A.D$32.
DA.AD.D3AD2.D.A.D.D3.D7.D.A.D.D3.D2.DA.AD.D3AD7.D.A.D.D3.D2.DA.AD.D3A
D6.D2.AD.D.2AD2.D2A.D.DA2.D$32.5D.5D2.5D.5D7.5D.5D2.5D.5D7.5D.5D2.5D.
5D6.5D.5D2.5D.5D2$35.5D8.3D15.5D8.3D15.5D8.3D14.5D8.3D$35.D12.D2.D14.
D12.D2.D14.D12.D2.D13.D12.D2.D$35.4D9.4D14.4D9.4D14.4D9.4D13.4D9.4D$35.
D12.D3.D13.D12.D3.D13.D12.D3.D12.D12.D3.D$35.D12.4D14.D12.4D14.D12.4D
13.D12.4D3$63.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.5D$63.D3.D.D.A.D2.
D3AD.DA.AD7.D3.D.D.A.D2.D3AD.DA.AD6.D2.AD.D.2AD2.D2A.D.DA2.D$63.D2.AD
.DA.AD2.D2.AD.DA.AD7.D3.D.DA.AD2.D3.D.DA.AD6.D2.AD.DA2.D2.D2.AD.DA2.D
$63.D.A.D.D.A.D2.D3AD.D3AD7.D3AD.DA.AD2.D3.D.D.A.D6.D2A.D.DA2.D2.D2.A
D.D.2AD$63.5D.5D2.5D.5D7.5D.5D2.5D.5D6.5D.5D2.5D.5D2$63.5D.5D2.5D.5D7.
5D.5D2.5D.5D6.5D.5D2.5D.5D$63.D3AD.DA.AD2.D3.D.D.A.D7.D3AD.DA.AD2.D3.
D.D.A.D6.D2A.D.DA2.D2.D2.AD.D.2AD$63.D3AD.D.2AD2.D3AD.D.2AD7.D3AD.D.A
.D2.D3AD.D.A.D6.D2A.D.D.2AD2.D2A.D.D.2AD$63.D3AD.D3AD2.D.A.D.D.A.D7.D
3.D.D.A.D2.D3AD.DA.AD6.D2.AD.D.2AD2.D2A.D.DA2.D$63.5D.5D2.5D.5D7.5D.5D
2.5D.5D6.5D.5D2.5D.5D2$66.5D8.3D15.5D8.3D14.5D8.3D$66.D12.D2.D14.D12.
D2.D13.D12.D2.D$66.4D9.4D14.4D9.4D13.4D9.4D$66.D12.D3.D13.D12.D3.D12.
D12.D3.D$66.D12.4D14.D12.4D13.D12.4D3$63.5D.5D2.5D.5D7.5D.5D2.5D.5D$63.
D3.D.D.A.D2.D3AD.DA.AD7.D3.D.D.A.D2.D3AD.DA.AD$63.DA.AD.D3.D2.DA.AD.D
3.D7.D2.AD.DA2.D2.D2.AD.DA2.D$63.D3.D.D.A.D2.D3AD.DA.AD7.D2A.D.DA2.D2.
D2.AD.D.2AD$63.5D.5D2.5D.5D7.5D.5D2.5D.5D2$63.5D.5D2.5D.5D7.5D.5D2.5D
.5D$63.D3AD.DA.AD2.D3.D.D.A.D7.D3AD.DA.AD2.D3.D.D.A.D$63.D.A.D.D3AD2.
D.A.D.D3AD7.D2A.D.D.2AD2.D2A.D.D.2AD$63.D3AD.DA.AD2.D3.D.D.A.D7.D2.AD
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$66.D12.D2.D14.D12.D2.D$66.4D9.4D14.4D9.4D$66.D12.D3.D13.D12.D3.D$66.
D12.4D14.D12.4D3$63.5D.5D2.5D.5D7.5D.5D2.5D.5D$63.D3.D.D.A.D2.D3AD.DA
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D2.AD.DA2.D$63.DA2.D.D2A.D2.D.2AD.D2.AD7.DA.AD.D3AD2.D.A.D.D3.D$63.5D
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2.D3.D.D.A.D7.D3AD.DA.AD2.D3.D.D.A.D$63.D2A.D.D.2AD2.D2A.D.D.2AD7.D2A
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D3AD$63.5D.5D2.5D.5D7.5D.5D2.5D.5D2$66.5D8.3D15.5D8.3D$66.D12.D2.D14.
D12.D2.D$66.4D9.4D14.4D9.4D$66.D12.D3.D13.D12.D3.D$66.D12.4D14.D12.4D
3$63.5D.5D2.5D.5D7.5D.5D2.5D.5D$63.D2.AD.D.2AD2.D2A.D.DA2.D7.D2.AD.D.
2AD2.D2A.D.DA2.D$63.D3.D.DA.AD2.D3.D.DA.AD7.D3.D.DA.AD2.D3.D.DA.AD$63.
DA2.D.D2A.D2.D.2AD.D2.AD7.D2A.D.DA2.D2.D2.AD.D.2AD$63.5D.5D2.5D.5D7.5D
.5D2.5D.5D2$63.5D.5D2.5D.5D7.5D.5D2.5D.5D$63.D2A.D.DA2.D2.D2.AD.D.2AD
7.D2A.D.DA2.D2.D2.AD.D.2AD$63.D3AD.D.A.D2.D3AD.D.A.D7.D3AD.D.A.D2.D3A
D.D.A.D$63.D.2AD.D2.AD2.DA2.D.D2A.D7.D2.AD.D.2AD2.D2A.D.DA2.D$63.5D.5D
2.5D.5D7.5D.5D2.5D.5D2$66.5D8.3D15.5D8.3D$66.D12.D2.D14.D12.D2.D$66.4D
9.4D14.4D9.4D$66.D12.D3.D13.D12.D3.D$66.D12.4D14.D12.4D3$94.5D.5D2.5D
.5D$94.D2.AD.D.2AD2.D2A.D.DA2.D$94.DA2.D.D2.AD2.DA2.D.D2.AD$94.D2.AD.
D.2AD2.D2A.D.DA2.D$94.5D.5D2.5D.5D2$94.5D.5D2.5D.5D$94.D2A.D.DA2.D2.D
2.AD.D.2AD$94.D.2AD.D2A.D2.D.2AD.D2A.D$94.D2A.D.DA2.D2.D2.AD.D.2AD$94.
5D.5D2.5D.5D2$97.5D8.3D$97.D12.D2.D$97.4D9.4D$97.D12.D3.D$97.D12.4D!
In this rulespace, because there are 19 subsets of transitions, there are 2^19 = 524288 rules in the zebra-complementary rulespace. There are 2^14 = 16384 rules without B0 or any of the relativistic transitions (B1c, B1e, B2a). There are no spaceships that are currently known in this rulespace, though.
Last edited by R2INT on February 22nd, 2025, 1:08 pm, edited 3 times in total.
Range-2 INT
R2INT's Rule Collection

Travelling Ts has surpassed LeapLife in post count, but not yet in technology.
User avatar
confocaloid
Posts: 6697
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Several notes/observations/corrections:
R2INT wrote: February 22nd, 2025, 1:50 am B2i4c8/S04e6-i
Is the minus sign deliberate or a typo?
R2INT wrote: February 22nd, 2025, 1:50 am zebra-complimentary
I think you mean "complementary".
Related: https://english.stackexchange.com/quest ... plementary "Complimentary" vs "complementary"
R2INT wrote: February 22nd, 2025, 1:50 am [...] 8192 rules without B0 or any of the relativistic transitions. [...]
The term 'relativistic' does not appear anywhere else in this post, and was not defined or linked. Is it relevant here? What it means in this case? Can this be explained in a clearer way without using the jargon?
R2INT wrote: February 22nd, 2025, 1:50 am I have completed the list of the 18 transition groups [...]
In explanatory texts like this, I suggest to avoid any jargon or terminology that is unnecessary or can be misleading.
In this case, both 'transition' and 'group' can be misleading, and both pieces of jargon are unnecessary.

'Group' can confuse the target audience, because there are groups in mathematics (such as permutation groups, symmetry groups, etc.) which also appear in Life/CA-related discussions. In this case, you are apparently talking about subsets rather than groups. Therefore it is better (more clear and precise) to describe them as subsets.
https://en.wikipedia.org/wiki/Subset

'Transition' can confuse the target audience, because in CA-related texts it normally means a state-to-state transition, rather than an "if-then" rule.

CA-related sources aiming to provide clear readable explanations normally draw a clear distinction between a state-to-state transition that either happens or doesn't happen (such as "birth", "death", "survival", etc.) and a rule that determines when a specific transition happen.

In this case, you are apparently talking about rules prescribing state-changing transitions (births and deaths). Therefore it is better (more clear and precise) to describe them as rules, and to list subsets of rules that require each other.

Related:
https://web.archive.org/web/20230928182 ... ary_03.htm
https://web.archive.org/web/20040323172 ... ndixA.html
https://conwaylife.com/w/index.php?titl ... 314#Page_2
R2INT wrote: February 22nd, 2025, 1:50 am There are no spaceships that are currently known in this rulespace, though.
Just one spaceship is easy, assuming I understand the idea. This was found using qfind in a few minutes of investigation, and apparently works when inverted or XOR-pasted into zebra stripes (in either direction):

Code: Select all

x = 15, y = 19, rule = B2cei3acikr4cit5jy6ce7c8/S1e2-ce3-jy4-eit5ejnqy6akn78
3b3o3b3o$3bobo3bobo$3b3obob3o$4b2o3b2o$4b2o3b2o$6bobo$5bobobo$6bobo2$
4b2o3b2o$2bobobobobobo$bo2bo5bo2bo$b6ob6o$b3ob2ob2ob3o$o2b4ob4o2bo$6bo
bo2$5b5o$7bo!
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Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

A 3c/6 spaceship in B2o/S2H (probably known):

Code: Select all

x = 6, y = 4, rule = B2o/S2H
$b2o$bob2o!
Edit: two common c/4d in /2-en/3 (one works in Brian's Brain):

Code: Select all

x = 13, y = 5, rule = /2-en/3
2.B8.B$A.A6.A.A$2B7.2B$A8.A.BA$10.AB!
Last edited by PiSpaceships on February 22nd, 2025, 11:59 am, edited 3 times in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by R2INT »

confocaloid wrote: February 22nd, 2025, 3:29 am Just one spaceship is easy, assuming I understand the idea. This was found using qfind in a few minutes of investigation, and apparently works when inverted or XOR-pasted into zebra stripes (in either direction):
Are there any small spaceships in non-explosive zebra-complementary rules (refer to the last post)?

(EDIT 08-12-2026): Found such a rule a while ago, with a c/4d (I don't know where the rule originated from):

Code: Select all

x = 3, y = 3, rule = B2-an3jy4ciqrtwy5aik6ace8/S12ikn3-aik4ackryz5-jy6an78
obo$bo$2o!
Last edited by R2INT on August 12th, 2026, 9:59 pm, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

6c/18d spaceship in a stable in-progress rule called Diagh:

Code: Select all

x = 3, y = 3, rule = Diagh
.AB$2A$B!

@RULE Diagh

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect

var a={0, 1, 2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var n={0,1}
var p={1,2}
var q=p
var x={0,2}
var y=x

0 0,2,2,1,2,2,0,0 1
0 2,1,n,0,0,0,0,0 2
0 2,2,2,0,0,0,0,0 1
0 p,0,0,0,2,0,0,0 p
0 1,0,1,0,0,0,0,0 1

1 2,0,2,0,0,0,0,0 0
1 2,0,0,0,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,1,2,0,2,1,0,0 1
1 p,0,q,0,0,0,0,0 1

2 1,p,0,0,0,0,0,0 1
2 2,0,0,2,1,0,0,x 1
2 p,0,0,0,0,0,0,0 2
2 1,0,1,2,0,0,0,0 2
2 p,0,q,0,0,0,0,0 2

a b,c,d,e,f,g,h,i 0
It's extremely sparky, so we can do various things with it. For example, it turns into p18 domino puffer after placing a domino next to it:

Code: Select all

x = 5, y = 3, rule = Diagh
3.AB$B.2A$B.B!

@RULE Diagh

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect

var a={0, 1, 2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var n={0,1}
var p={1,2}
var q=p
var x={0,2}
var y=x

0 0,2,2,1,2,2,0,0 1
0 2,1,n,0,0,0,0,0 2
0 2,2,2,0,0,0,0,0 1
0 p,0,0,0,2,0,0,0 p
0 1,0,1,0,0,0,0,0 1

1 2,0,2,0,0,0,0,0 0
1 2,0,0,0,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,1,2,0,2,1,0,0 1
1 p,0,q,0,0,0,0,0 1

2 1,p,0,0,0,0,0,0 1
2 2,0,0,2,1,0,0,x 1
2 p,0,0,0,0,0,0,0 2
2 1,0,1,2,0,0,0,0 2
2 p,0,q,0,0,0,0,0 2

a b,c,d,e,f,g,h,i 0
Another domino puffer:

Code: Select all

x = 3, y = 4, rule = Diagh
B$.AB$2A$B!

@RULE Diagh

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect

var a={0, 1, 2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var n={0,1}
var p={1,2}
var q=p
var x={0,2}
var y=x

0 0,2,2,1,2,2,0,0 1
0 2,1,n,0,0,0,0,0 2
0 2,2,2,0,0,0,0,0 1
0 p,0,0,0,2,0,0,0 p
0 1,0,1,0,0,0,0,0 1

1 2,0,2,0,0,0,0,0 0
1 2,0,0,0,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,1,2,0,2,1,0,0 1
1 p,0,q,0,0,0,0,0 1

2 1,p,0,0,0,0,0,0 1
2 2,0,0,2,1,0,0,x 1
2 p,0,0,0,0,0,0,0 2
2 1,0,1,2,0,0,0,0 2
2 p,0,q,0,0,0,0,0 2

a b,c,d,e,f,g,h,i 0
edit: c/3 diagonal spaceship:

Code: Select all

x = 5, y = 5, rule = Diagh
2.A2B$4.B$BA2$.B!

@RULE Diagh

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect

var a={0, 1, 2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var n={0,1}
var p={1,2}
var q=p
var x={0,2}
var y=x

0 0,2,2,1,2,2,0,0 1
0 2,1,n,0,0,0,0,0 2
0 2,2,2,0,0,0,0,0 1
0 p,0,0,0,2,0,0,0 p
0 1,0,1,0,0,0,0,0 1

1 2,0,2,0,0,0,0,0 0
1 2,0,0,0,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,1,2,0,2,1,0,0 1
1 p,0,q,0,0,0,0,0 1

2 1,p,0,0,0,0,0,0 1
2 2,0,0,2,1,0,0,x 1
2 p,0,0,0,0,0,0,0 2
2 1,0,1,2,0,0,0,0 2
2 p,0,q,0,0,0,0,0 2

a b,c,d,e,f,g,h,i 0
edit: A wider puffer (engineered):

Code: Select all

x = 11, y = 11, rule = Diagh
8.2B2$8.B$9.AB$8.2A$8.B$6.B2$B.B.AB$B2.2A$3.B!

@RULE Diagh

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate8reflect

var a={0, 1, 2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var n={0,1}
var p={1,2}
var q=p
var x={0,2}
var y=x

0 0,2,2,1,2,2,0,0 1
0 2,1,n,0,0,0,0,0 2
0 2,2,2,0,0,0,0,0 1
0 p,0,0,0,2,0,0,0 p
0 1,0,1,0,0,0,0,0 1

1 2,0,2,0,0,0,0,0 0
1 2,0,0,0,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,1,2,0,2,1,0,0 1
1 p,0,q,0,0,0,0,0 1

2 1,p,0,0,0,0,0,0 1
2 2,0,0,2,1,0,0,x 1
2 p,0,0,0,0,0,0,0 2
2 1,0,1,2,0,0,0,0 2
2 p,0,q,0,0,0,0,0 2

a b,c,d,e,f,g,h,i 0
Last edited by PiSpaceships on February 22nd, 2025, 1:01 pm, edited 3 times in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

R2INT wrote: February 22nd, 2025, 10:40 am
confocaloid wrote: February 22nd, 2025, 3:29 am Just one spaceship is easy, assuming I understand the idea. This was found using qfind in a few minutes of investigation, and apparently works when inverted or XOR-pasted into zebra stripes (in either direction): [...]
Are there any small spaceships in non-explosive zebra-complementary rules (refer to the last post)?
As far as I can see, the post didn't require (or even define, for that matter) nonexplosivity. If I understand the intended idea, then the spaceship I posted provides an example to answer "There are no spaceships that are currently known in this rulespace, though."

I'm not sure whether I understand the intended idea (it's often hard to follow such explanations with unstated assumptions and problematic terminology). I just tried to guess what was meant there, maybe I guessed correctly, maybe not, there was no confirmation or correction so far either.

Likewise, to be able to answer questions involving "non-explosive" (to enable an interesting discussion) one would need to define nonexplosivity, or at least explain what is more likely to count as nonexplosive. (This is likely to be hard to define. E.g. how to deal with soups that "apparently grow forever chaotically" but then either unexpectedly settle at some time or produce a regular growth?)

In many cases, referring to / reusing an existing concept from a wider field (mathematics, computer science) is going to be objectively better than reinventing some variation of it, in those cases when there is choice at all.
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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