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Miscellaneous Discoveries in Other Cellular Automata

https://conwaylife.com/forums/viewtopic.php?t=1971

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Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 25th, 2025, 7:50 am
by Naszvadi
islptng wrote: April 24th, 2025, 11:00 pm ...
[Edit 1] Sawtooth:

Code: Select all

x = 105, y = 35, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
4bo2bo$4bobobo15bo$3bo5bob2o11b2o$4bobobo15bo$2o2bo2bo2$91bo3b2o4b2o$
89b9ob2o2b2o$90b2ob3o4b3o$46bo42b4o2bo3bobo$32bobo11b2o29bo9b5ob2ob4o
2bo$27b2o3bo2bobo6b2obo29b2o10b4o2bo3bobo$32bobo10b3obo27bo12b2ob3o4b
3o$25b2o62b9ob2o2b2o$91bo3b2o4b2o8$49bo$49bo$47b2ob2o$49bo2$48b3o$48bo
bo$48b3o$49bo$49bo$49bo$51bo$51bo!
This is not a sawtooth, just a nonlinear (sublinear?) growth.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 25th, 2025, 9:20 am
by R2INT
Smaller c/3o spaceships (EDIT: added more spaceships):

Code: Select all

x = 134, y = 94, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
3o2b3o7b3o2bo2b3o5b3o2bo2b3o7b3o2bo2b3o7b3o2bo2b3o7b3o2bo2b3o9b3o2bo2b
3o6b3o2bo2b3o$2obob3o7b2obobobob2o5b2obobobob2o7b2obobobob2o7b2obobob
ob2o7b2obobobob2o9b2obobobob2o6b2obobobob2o$bobobob2o7bobobobobo7bobo
bobobo9bobobobobo9bobobobobo9bobobobobo11bobobobobo8bobobobobo$2bo2b3o
9bo2bo2bo9bo2bo2bo11bo2bo2bo11bo2bo2bo11bo2bo2bo13bo2bo2bo10bo2bo2bo$
3bo2bo13bo15bo17bo17bo17bo$2bo2bo12b2o2bo11b2o16b2o16b2o19b2o$7bobo7b
2o4bo9b2o16b2o17bobo17b2obo15b3o14b3o$5b3obo7b2obobo15b3o17bo11b2o5bo
11b2ob2o15b3o14b3o$6bob2o8bo2bo2bo10b2ob3o12b2o2b3o10b4o2bobo10bo2b5o
12b2o15b2o$6b2o10b2o2bo11bob2ob2o11bob3o2bo7b4o3bob2obo10bo4b3o12bo3b
o12bo$7bo15bo11bobo2bo11b6o11b2ob3o2bobo14b3o16bobo$5bo2bo26bo15b2ob3o
11bo8bo18b2o9bo2b2ob2obo$6b3o24bo2bo14b2o3bo14bo24bo10bob3o2bobo$6bo28b
o60b2o12b2o2bo$8bo25bo73bo8$3o12b3o2b3o8b3o2bo2b3o8b3o15b3o15b3o16b3o
15b3o$2obo11bobo2bobo8b2obobobob2o8bobo15bobo15bobo16bobo15bobo$bob2o
2bo8bo4bo10bobobobobo10bo17bo17bo18bo17bo$3bo2b3o6bobo2bobo10bo2bo2bo
10bobo2b2o11bobo2b2o11bobo2b2o12bobo6b3o6bobo$2b3o4b2o3bob6obo25bob5o
bo9bob5obo9bob5obo10bob5o2bob2o5bob5o2bo$3b5ob2o5b2o2b2o29b3o2b2o11b3o
2b2o11b3o2bo13b3o3b2obo8b3o3bobo$2bob2ob3o5bo2b2o2bo12b3o17bob2o14bob
2o9b2o3bobo11b2o4b2obo16b2o$6b3o7b2o2b2o13b3o17bob2o14bob2o9b6o13b4o3b
2o13b4ob2o$7b2o6bob4obo13b2o19bo17bo13b2o18b2ob3o11b2o4b2o$7b2o8bo2bo
11bo3bo51b2obo14bob2o2b2o15bo$18b2o11bobo20b4o30b5o14bo2bo$17bo2bo9bo
b2ob2o2bo14b2ob2o28b5o16bo2bobo$18b2o10bobo2b3obo14b3o30bo3b2o16b2o$32b
o2b2o18b3o29b3obo$38bo16bo33bo6$33b3o2b3o11b3o14b3o15b3o16b3o16b3o$b3o
12b3o14b3obob2o11bobob3o10bobo15bobo16bobo16bobo$bobo12bobo13b2obobob
o13bobob2o11bo17bo18bo18bo$2bo14bo4bo10b3o2bo13bob2o2b2o9bobo15bobo16b
obo16bobo$bobo12bobo2bo2bo9bo2bo19b2o7b5o14b4obo13b4obo13b4obo$ob5o8b
ob4obobo10bo2bo15bo2bo10b7o9b2ob2o14b2ob2o14b2ob2o$2b3o12b3o3bo7bobo15b
3o3b4o11b2o12bo2bob3o3bo7bo2bob3o3bo7bo2bob3o$b2o18bob4o4bob3o13b2obo
2b2obo11b4obo12b2o4b3o10b2o4b3o10b2o$b4o18b2o6b2obo15bobobob2o31b5o2b
o11b5o2bo11b4o$3bo12bo4bob2o8b2o16b3obobobo11bob2o11b2ob2ob3o13b2ob3o
12b3o2bo$4bo10b3o3b2obo8bo19b2obo14bo2bo10b2o5b2o17b2o12bo2bo$2bo2b3o
7bob5o10bo2bo16bobo2b2o11b2o3b2o9b2o4bo2bo15bo2bo13bo$2bobob2o6b3o3b2o
10b3o35bobobo11b2o4b4o15b4o13b2o$bo5b2o7bo3bo13bo40bo17bobo16bobo12b2o
$2b2o2b2o24bo4$125b3o$20b3o14b3o13b3o15b3o13b3o16b3o16bobo$3b3o14b3o2b
3o9b3o13bobob3o11bobo13bobo16bobo17bo$2bob3o13bob2obobo9bob2o13bobob2o
12bo15bo18bo17bobo$2ob3o12b2o2bo3bo8b2o2bo2b3o8bob2o2b2o10bobo2b3o8bo
bo16bobo15bob4o$2obobo11b3o2bo2bobo6b3o2bobo2bo13b2o12b4ob2o7bob5o12b
ob5o14b2ob2o$b3obo3b3o5b2o5b3o7b2o4b2obo11bo2bo10b2o4b3o10b3o16b3o13b
3obo2bo$b5o3b3o7bo3bo3bo8bo5b3o5b3o3b4o8b2o2bo2b2o10b2o23bo12b2o$b2o2b
4ob2o5b3o4b2obo6b3o6bo6b2obo2b2obo10bobobo2bo8b5o20b3o8b4o$b3o2bobo2b
o14bo14bob2o6bobobob2o10bob2o2bo13bo18b2o2bobo6bo2b3o$2b2obo18bobobo6b
2o3b2obo8b3obobobo7bobo13b5o15bo5b2obo10bo2bo$b2obo20bo2bo6bobo3b2o11b
2obo10b3o12b2o7bo10bobo2b2o14bo$2b2o21bo9b3o4b2o9bobo2b2o7b2o15bob2o3b
3o8bob2obo15b2o$3bo19bo2bo11b4o26b2o14bobob4obo8bobo2b3o14b2o$25bo13b
3o43b2o5b3o9bo4bo$24bo14bo48bo3bo4$39b3o14b3o29b3o16b3o$6b3o15b3o12bo
bo14bobo13b3o13bobo16bobo$6bobo11b3obobo13bo16bo14bobo14bo18bo$7bo12b
2obobo8b3o2bobo10b2o2bobo14bo14bobo16bobo$6bobo10b2o2b2obo7b2ob4o10bo
b5obo12bobo10b5obo12b5obo$3b3o2bo11b2o13b3o4b2o8bo2b3o15b5o9b3o16b3o$
3b2obobo12bo2bo11b2o2bo2b2o6bobo3b2o10b7o13b2o17b2o$2b2obo3bob2o7b4o3b
3o5bo2bobobo10b6o13b2o13b5o14b4o$3b2o3bobob2o6bob2o2bob2o7bo2b2obo10b
2o12bob4o14bo18bo$4bo4bo3bo7b2obobobo13bobo8bob2o32b5o12bo$8bo4bo5bob
obob3o14b3o7b5o12b2obo12bo7b2o8b3o2bo$13b2o7bob2o18b2o7b5o11bo2bo11b3o
3b2obo9b2obobo$20b2o2bobo16b2o7b2o3bo9b2o3b2o10bob4obobo8b2o5bo$53bob
3o11bobobo9b3o5b2o10b2o2b2o$55bo12bo16bo3bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 25th, 2025, 8:41 pm
by islptng
Whoa, tiny c/4o that resembles a ship in CGoL (I forgot what)

Code: Select all

x = 7, y = 11, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
4bo$3bobo$3b2obo$4bo$bo$3o$bo$4bo$3b2obo$3bobo$4bo!
c/5o:

Code: Select all

x = 52, y = 13, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
36bo3bo$16bo7bo10b6obo$4b2o8bo3bo3bobob2o3bo4bo3b4o3bo$4b3o7b3ob4obob
3obobobo8b2o3bobo$7b2o5b4obo4bo3bobobo6bob3obob3o$3b3o2b5o3b2o2bob2ob
6o8bo2b8o$2obo3b6obo3bob3o3b2o4bob3obob5o3bob2o$3b3o2b5o3b2o2bob2ob6o
8bo2b8o$7b2o5b4obo4bo3bobobo6bob3obob3o$4b3o7b3ob4obob3obobobo8b2o3bob
o$4b2o8bo3bo3bobob2o3bo4bo3b4o3bo$16bo7bo10b6obo$36bo3bo!
c/4d:

Code: Select all

x = 54, y = 54, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
6bo$5b2o$5bob2o$4b2o$3bob2o$b4o$2o2bob3o2bo$2bo3b2ob2ob2o$2bo3bobo4bo$
7bo2bo2b2o$7bobo2b3o$6bo4b3obobo$7bo2b6o4bo$7b8obo2b2o$9b2ob3o2bobob2o
$11b2o3b4o$13bob3ob2o$11bo2b3obob3o$15bobo6b2o$13b4o5bo$12b2o2b2o4b2ob
2o$14bo2bo4bob2obo$14bo2bob3obob2ob2o$20bobo2b3ob2o$18bo2bo3b4obo$18bo
b5obob2o3bo$20bob4obob2obob2o$21bob2obo3bo2b2obo$22bob2o4bo2b3obo$22b
2ob2o3bo2bo2b2o$23b2ob5o2b2o2b2o$35bo2b2obo$26bo5b2ob4obo$25bob4obob2o
3b2o$26b3obo2b2obobob2obo$26bobo2b3o2bo2b2o2b2o$27bobo2bob3o5b2o$28b3o
bo9bo$30b3obo6bo$31bobobo4b4o$32b4o3b3o4bo2bo$31bo2bo3b6obob2o$36b2obo
b2o2bo4bo$34b3o2bobo3b2ob3o$35bo8b3obobo$41b4ob3o2b2o$40bo2b3ob2obo$
41bo3b3ob4o$41bob4obo$40bo2bo3bobob2o$42b3ob2o2bob2o$45bobobo2bo$45bob
ob5o$50bob2o!
c/3d:

Code: Select all

x = 47, y = 47, rule = B2i3-knqr4cikyz5cjkry6kn7/S1e2ci3-ekq4ijqwyz5-cei6ekn7
14bo$13b2o$12b4o$9b4obob3o$11bo2bobobo$7bob4o2bob2o$6b3obo3b4ob2o$5b3o
2bo2b2obobob3o$6bobobo2bobo5b2o$3bobo6bob3o4bo$3bob4o4b3ob3o$3b3o8bob
3o2bobo$2b2obo3bo4bobo4b2o$b2o4b2obo4b2ob2obo2b2o$5ob2ob4o5bobob3obo$
2bo2b2ob3o2bo2b2o3b2ob2o2b3o$3b2ob2obob3obo4bobo3bob2o$3bob2o3b2o3bo4b
o4b2ob3o$3b3obo2b2ob2o5b4o4b2o$6bo3bo2bo7bo3b3o$6b2o6bob3ob2o4bob3o$7b
3ob3obo2b3ob3ob5ob3o$7b2o3bob3obo2bo3bo2bo3b2o$11bo2bo3bo2bob3o2bobo2b
2o$13b3o5bob2o5bobo2bo$13bobobobo2b2o2bo2bo5bo$14bob2ob3o3b2o7bobo$19b
obo13bobob2o$15b4ob4o10b2ob2obobo$15b4ob2o3bo7b2obob2obo$15bobo2b2ob2o
7b8o2bobo$34bo10bo$21b2obo5bo9bo3bo$21b3o5b2o3bo3bo7bo$21bobo2bob4obo$
24b2ob2obo$26bo2b2o$27b2obo$28b3o2bo$27bob2o$27b2o3bo$29bo$28bobo2$30b
obo$31bo$33bo!
Why not moving discussion to the "CataFlakes" thread?

Adding this rule to my LifeWiki page and my sandbox.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 26th, 2025, 10:09 am
by PiSpaceships
c/6o in emulated R2 rule:

Code: Select all

x = 17, y = 5, rule = TestR2
3A4.3A5.2A$3A4.A.A4.A.A$2.A13.A$.A$A!

@RULE TestR2

@COLORS
1 255 255 255  # alive
2 0 0 255 # dead>alive
3 0 255 0 # alive>alive
4 100 0 0 # alive>dead
5 100 100 100 # dead>dead

@TABLE
n_states:6
neighborhood:Moore
symmetries:permute

var a={0,1,2,3,4,5}
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 x={0,4,5} #dead
var y={2,3} #alive

0 1,1,1,0,0,0,0,0 2
1 1,1,a,0,0,0,0,0 3
1 a,b,c,d,e,f,g,h 4
0 1,b,c,d,e,f,g,h 5

5 3,3,5,5,5,5,5,0 1
x a,b,c,d,e,f,g,h 0
y a,b,c,d,e,f,g,h 1

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 28th, 2025, 2:58 am
by b-engine
FWKnightship wrote: April 28th, 2025, 2:12 am A clean 2D replicator made up of spaceships:

Code: Select all

x = 11, y = 11, rule = B2eik3aijy4i5jkn6i7c/S1c2cek3n4c5e
8bobo$9bo7$o$bo$o!
This related rule contains this gun that's not really made of spaceships, but interestingly it is two types of failed replicators in two different phases:

Code: Select all

x = 11, y = 11, rule = B2eik3aijy4i5jkn6i7c/S1c2cek3n4c5ae
8bobo$9bo7$o$bo$o!
EDIT:
Lots of zebrawise spaceships and (maybe) puffers:

Code: Select all

x = 5, y = 4, rule = B2eik3aijy4in5jkn6i7c/S1c2cek3n4c5e
2b3o$2o2bo$o2bo$bo!
The minimal rule contains 10c/32 diagonal rake of V-ship, and this is a natural single barrel rake of that:

Code: Select all

x = 30, y = 42, rule = B2ek3ijy4in5j/S1c2cek3n5e
23b3o$23bo2b2o$23bo4bo$28bo$24bo4bo$25bo3bo2$25bo$17b2o6bo$7bo8bo7bob
o$6bob3o14bo$20bo$10b3ob2o2b2o$10bo5bo3bo$11b2ob2o$3b3o7bo$2bo$bo2b2o
$2bob2o$3b2o$5bo$9b3o$9bobo5$25b2o$26bo$25b2o3$12b2o$13bo$4b3o5b2o$4b
obo3$4b2o$o$bo3bo$2b3o!
EDIT 2:
This is not glider 3736, this is a very weird 7c/39 orthogonal spaceship:

Code: Select all

x = 4, y = 7, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e
2o$obo$o2bo$bobo$o2bo$obo$2o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 28th, 2025, 9:05 pm
by CARuler
in nlife

Code: Select all

x = 4, y = 3, rule = B2n3-n/S23
b2o$o2bo$4o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 28th, 2025, 9:13 pm
by CARuler
islptng wrote: April 20th, 2025, 11:44 pm Nice explosive Generations rule with c/9o's, 2c/11o's, c/2 puffers, and unknown speed diagonal wickstretchers.

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-n4-t/8
! [[ RANDOMIZE ]]
It's more-state variants looks also interesting. Have a look at the 247th variant:

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-n4-t/256
! [[ RANDOMIZE2 ]]
Subtracting B3j and we get a faster ship and less wickstretchers:

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-jn4-t/8
! [[ RANDOMIZE ]]

Code: Select all

x = 1, y = 1, rule = 12-ai3-e/3-jn4-t/256
! [[ RANDOMIZE2 ]]
4c/518

Code: Select all

x = 4, y = 5, rule = 12-ai3-e/3-n4-t/256
qNqM$2qM$A3qM$.AqLA$2.A!
edit:
rake

Code: Select all

x = 10, y = 16, rule = 12-ai3-e/3-n4-t/8
2.A$.ABA$.3C$2.B3$2.A$.ABA$.3C$8.A$5C2.A$ACDCA$.ACA$2.A2$9.A!
edit2:
the soup is good

Code: Select all

x = 64, y = 64, rule = 12-ai3-e/3-n4-t/8
2.EDG2.C2.AD.G.A4.CBE.C2.CG2.EG3.C3.BAF.E.BC3A3.F2DA3.2A$3.CBA.BE.B2.
B3.E2.FC5.D2.AE2.B.A2G5.2BEF.F2.C3.A2.AF2.B$C2.G4.BF.CG.2CGEC.DE2F.A.
CDEAC4.F.E.E.C.CF.2BDB3.FD.E2.G2.C$C2.C.B4.C5.GCEB3.F2.E4.B2.FECFCD2E
2.AD.AB.EFGC.EB4.A.C$C3.B.EA.G2.BF3.EC.DA.C.FA2.B.G2.FA2.G4.2C2.DB.E.
C.F2.G.2E.BG$G.AF.B2.D2.G2.G4.DCGDEF.EA2.CAG.B7.D.E2.B2F3.G3.E.B2.C$.
G2.F15.2GCBC.C4.FEA2D2.G.C3.FG2.2E.E.E7.AB$G5.C2.A2.B2.ABFB.D3.F8.A2B
.ABFGC2.E.2E.C3.DFA.F3.CB$D2F2GB3.AD.2DFBA.EG.GBF2.CAC.G2.CB.FC2.G.3C
BFB.E2.EF.A.BD2.F$GF.GAB2F.CEFC3.2CEB2.DG.FA3.C.2A.EFC3.DA.AB2C.E.2C.
C3.F.E.BE$B2.F.A3.E2.BAG7.A3.A2.BE.B.BC4.D2AG.C2.A2.B2EA4.G2.FC$.F.BA
2.BA.DE3.E.C3.F.E2.AGFCA2.2C4.F.B2.D2.E2.CE.F4.CDBC.F$BDBC3.A.D3.BDC2.
F2C.F.E4.A.G.C.F3.ABD.DEG.F.AB.2DEB.C4.AF$A.AB2.B2.EC.FGD.DFDBD2B.G3.
CEF2.BE.G.CA.A2.2A.D2.F.DFBADCGFEG$2.D7.DA.C.EFGF4.G.C3.EB2.DGD2.D.FE
.DFB2.A3.EB.BCE$6.C5.2AC.C4.CDG4.D.DF.F4.FD2E2.F5.2E.GDEA.ED.D.G$.D3.
E.ADACEF2.E2.A.GB2.A.D2FB3.BE.C2.FE2.2EG6.D2.C6.AG$.2CEF.F2.A3.E.DE2A
3.G.CDCB.FE.GB.A.AF2.AF2A2DF.F.C.EB.BD2.A.F$3.F3.BCAGFDA2.DCBF.DGDF.B
EBF2.2AC.2B.EAE.BE4.C4.F2G.A.B.F$CA5.GEFG.2A3.E.C2.BED.A9.ADG4.DG.G.G
BD.F.FBC2.DB2.E$GE.BA2.A3.GA6.2G2.C3.AD2.E.B3.AG2.F3.CAGDC.B.G.EA3.F.
G$A.DA.AEG.C.E2A2.AF2.AF.2DGDB2.GDC2A.C.B2.A3.D3.F.B3.A3GDB2.A$GE.BCF
3.A2.F4.BE.GEA.CF3.F.D.G2.EFC.D.DFGC.FCF3.B.EC6.D$F2.F.F5.BF2EB2.GB2.
D7.F2.GC2.2G4.E.A3.B2.GC.D.E.2A2.G$8.E3.DE2.EG.EA2.E2CEDCE.FGAG3.2GCA
E2.G.EB.2A.F.DGA4.GA$.C6.AD2.A2EF5.E2AGD.D.A2D2.2DE2.FAE5.E2.E4.E2.D.
EFD$3.BC2.GF.EDGE.B2.GAB2.FE.A.D.BGBAG.F.BGDABFD.C3.B4.B$.A.BG.GFG.F.
D5.A3.A.GEGB.DF.F3.AF3.C2BC7.DB.F7.C$ABA2.C.E.2DB.F2.D.CG.AD2C2.F3.GB
A2.G3.2CFD.ED2.F2.C.GD5.DBA$F.CB2.B.FA9.D.BF.E2.D2.EFDA2.DA.GE6.A.BGF
.BD5.EC.E$A3.C2.D.B2.G14.ABE2.DC.G.G2.G.F.A.AD6.2D.F.BGA.F$A3.CG2.DFD
ABFCEGDGF.EABE.F.F.DGE5.2E.AB3.GF5.BDE2.GDG2.E$F2.CDE3.2F2B.E3.B2.CF2A
G3.F5.CB2.D.FD2.A.A4.B.G3.G.E2.F$7.G.BGE2.AFB.A2.C.B.AC.B2.CG2.2A.CD.
C3.EA.E.G.2F.EACAFD$.B.FC.DAF.DG.G2BECFA.G.DED2.AF2E5.EFC4.FGBDE4.D6.
E$.C.EGCD3.E3.G.A.EFA2.2F.CF2C5.G.DED.C2.E.E.BF.E.CAGCD2.GCFD$.D.G.B.
D.DAED.F.EFDE2.BC.D2.BGF.G.2C.D2.2G2.E5.C.GAB.2D3.DCA$2.C3.CFEG2CBE.A
.D2.EG2.A.B.GC2GBFD2.A3.E.BG2.D.C2.C2.DE.GDE.B$3.G2.D.C2.F4.DGE6.BD3.
EBDCA.E2.ECB2.B2.A3.G2.GF2.E$G.GA.F2.D.E3.A2.2A.EDF.GD6.C3.CD2.E2.BFE
4.AFA2.DC6.B$.BE.FDAG3.EA.DC5.GE2.D2.GDCD.F.C.A.BD.D4.DE.E2.CEC5.2DF$
F2.E7.B3.CG.DG2.G3.EA2FG.F4.AC2.C4.AEA.GC.BF.D.D.AF$FCB.FDE3.E3.A.GDE
4F.D3.A2.GDG2.DEC.C3.C3.G.AD2.EC.DE.C.GA$A3.EA.2BDAG4.D3.A2EAD.B2.F2.
CACEA3.CB.A2.E3.GBD.A.GD2GD$C4.C2F2.G2.D.DC.G3.BE2.B.B.ED3.F.D.E4.DCA
5.B10.D$A.DF.A2D.G.AC5.G.EA.DAC3.G4.G2.A.2G.DBDFAD5.CF3.FBDE$.A3.E2.E
F.A3.FA2.BA.F.E.FD.CG4.BG.2DB4.C4.F.2B.E3.E3.G$AFB2.2A.GFA2GF.GA2.G.C
2.D.C.2FCDFEBEBE2.FB.C3.A3.F.G.G.A.D.EBF$B.B.E2A.DB.D3GCB.FD7.A3.C2.G
3.BA2.EF.C3.CAEG.C.EF2.2EC$4.A.EDC.GDB2.2BAD.A.BFAF.G.GD.E.F.EFE.FAC3.
FEDA.F2.E3.AD.A$2.ACE2.A.D3.D.FEAB2.B.D.E.EAF.FBE4.DB4.B.E3.G.E.E3BF.
2C$2.FE4.2B.A.D7.G.G3.F.EDE2.FEGFE.AD2B.D2.AFDFBA5.AC.EB$C2.E4.CEF.DB
4.CF3.CA.C.A2.CBA4.EB5.2G2.F4.F2.2B2.A2D$E5.C.A3.E5.C.ED.AF2.C.3F2B2.
D.G.B3.D2.AD2.F.C.EFE2.CEFG$AFDFA.3A.DB.BADBCG3.EFE9.C2.D.GEFA2.E2.E.
BC.DFE.DACG2.E$.DAD.C.GE5.AE2.B.F.B5.B2.D2GD4.DF2.B.E2.DFC3.2GA.C.G$.
D2A.E2.B4.GBA8.2E.ABC.2F.F.DF2.BF.CF.2B.2EC2.DCB5.CA$CBE.2GD2.C.BGBC2.
D.AG2.G.CA.DBD2.DGF.BFD3.BC.F.D2.G.2C4.C2.AG$ECB2.G4.2F2.FABFA.G2.A.D
E.BDB3.FB.D2.E2.BD.EDB.CEF.GEAGC.DC.D$CF.E.AF.G2B.A.E2.G4.GD2GEDG.A4.
D4.G3.E.ADB.E.E.CD4.BDEC$.A.CE.AE3.AB.BCG.CDC2ACFBAGAG2BG.EC.2D.E.F.F
DB.CF.BD.G.BFDA$2.A.EFAC2.G.C2.ABCA2.C2.G4.CDC4.DF2.A2C.CBG3.E.C5.E2.
AGE$B2C3.BC.D.D2.A.D3.GE.FG3.A.C.BD5.F4.AGFB.D.D.CBA.B.DE.2C$.DFDEBD2.
FB2.G.E2.E2C.A.G4.B3.B.CDGD.CG.G.GAFEBDCEA3.DF2.FA!
edit3:
a fuse from anther five star soup

Code: Select all

x = 47, y = 156, rule = 12-ai3-e/3-n4-t/8
40.A$19.A8.A12.A$18.A10.A8.A3.A$17.A12.A8.A$32.2A$19.A9.A8.A$18.A11.A
6.A$17.A2$19.A$18.A19.A$17.A21.A$26.G$19.A8.FE8.A$18.A9.EDA6.A$17.A8.
A2GFDA$27.A2FCA$19.A8.A2ED$18.A10.AE7.A$17.A21.A$27.A$19.A6.A11.A$18.
A7.A10.A$17.A9.A$28.A$19.A9.A$18.A11.A7.A$17.A21.A$26.A$19.A7.A10.A$18.
A8.3A7.A$17.A10.A2B$28.AB2C$19.A9.AC2D$18.A11.ACE5.A$17.A21.A$26.A$19.
A7.A10.A$18.A9.A8.A$17.A11.A$30.A2ED$19.A10.4E$18.A12.2A5.A$17.A21.A$
26.A$19.A7.A10.A$18.A9.A8.A5.G$17.A11.A$29.2D2A$19.A8.2EA2EAF$18.A9.C
E4F4.A$17.A9.BCA3F6.A$26.A2B3D2.G$19.A7.AC2DB6.A$18.A9.AD2A5.A4.2A$17.
A12.BA4.2G4.E2A$35.F2G4FECB$19.A8.A5.A3E4FBDC$18.A10.A3.AB3EA4ED$17.A
12.A2.AB3CDADCE$33.2A4C2B$19.A8.A4.A4BA2BA$18.A10.A4.B7A$17.A12.A11.A
$36.A$19.A8.A6.A4.A$18.A10.A4.A6.A$17.A12.A11.A$36.A$19.A8.A6.A4.A$18.
A10.A4.A6.A$17.A12.A11.A$36.A$19.A8.A6.A4.A$18.A10.A4.A6.A$17.A12.A11.
A$36.A$19.A8.A6.A4.A$18.A10.A4.A6.A$17.A12.A11.A$36.A$19.A8.A6.A4.A$18.
A10.A4.A6.A$17.A12.A11.A$36.A$19.A8.A6.A4.A$18.A10.A4.A6.A$17.A12.A11.
A$36.A$19.A8.A6.A4.A$18.A10.A4.A6.A$17.A12.A9.2FA$35.FA3.2F$19.A8.A6.
A2F2.AD$18.A10.A5.2A2F2DA$17.A12.A5.AB2DA$36.A2BA$19.A8.A8.3A$18.A10.
A$17.A12.A2$19.A8.A$18.A10.A$17.A12.A2$19.A8.A$18.A10.A$17.A12.A2$19.
A8.A$18.A10.A$17.A12.A2$19.A8.A$18.A10.A$17.A12.A2$19.A8.A$18.A10.A$17.
A12.A2$19.A8.A$18.A10.A$17.A12.A2$19.A8.A$18.A10.A$17.A12.A2$19.A8.A$
18.A10.A$17.A12.A2$19.A8.A$18.A10.A$17.A2D8.2FA$18.2DF7.2F$18.BA2F6.A
D$18.A2BF5.2DA$19.A2BD2.F2DA$20.AB2E2GDA$21.2A2EB2A$22.2A2CA$23.3A$24.
A!
edit4:
fuse

Code: Select all

x = 283, y = 64, rule = 12-ai3-e/3-n4-t/256
34$16.yLyMyNyO4.yDyEyFyG4.xTxUxVxW4.xLxMxNxO4.xDxExFxG4.wTwUwVwW4.wLwM
wNwO4.wDwEwFwG4.vTvUvVvW4.vLvMvNvO4.vDvEvFvG4.uTuUuVuW4.uLuMuNuO4.uDuE
uFuG4.tTtUtVtW4.tLtMtNtO4.tDtEtFtG4.sTsUsVsW4.sLsMsNsO4.sDsEsFsG4.rTrU
rVrW4.rLrMrNrO4.rDrErFrG4.qTqUqVqW4.qLqMqNqO4.qDqEqFqG4.pTpUpVpW4.pLpM
pNpO4.pDpEpFpG4.TUVW4.LMNO4.DEFG$16.yKyLyO5.yCyDyG2yH3.xSxTxW2xX3.xKxL
xO2xP3.xCxDxG2xH3.wSwTwW2wX3.wKwLwO2wP3.wCwDwG2wH3.vSvTvW2vX3.vKvLvO2vP
3.vCvDvG2vH3.uSuTuW2uX3.uKuLuO2uP3.uCuDuG2uH3.tStTtW2tX3.tKtLtO2tP3.tC
tDtG2tH3.sSsTsW2sX3.sKsLsO2sP3.sCsDsG2sH3.rSrTrW2rX3.rKrLrO2rP3.rCrDrG
2rH3.qSqTqW2qX3.qKqLqO2qP3.qCqDqG2qH3.pSpTpW2pX3.pKpLpO2pP3.pCpDpG2pH
3.STW2X3.KLO2P3.CDG2H$16.yM2.yN4.yE2yIyF2yI2.xU2yAxV2yA2.xM2xQxN2xQ2.
xE2xIxF2xI2.wU2xAwV2xA2.wM2wQwN2wQ2.wE2wIwF2wI2.vU2wAvV2wA2.vM2vQvN2vQ
2.vE2vIvF2vI2.uU2vAuV2vA2.uM2uQuN2uQ2.uE2uIuF2uI2.tU2uAtV2uA2.tM2tQtN
2tQ2.tE2tItF2tI2.sU2tAsV2tA2.sM2sQsN2sQ2.sE2sIsF2sI2.rU2sArV2sA2.rM2rQ
rN2rQ2.rE2rIrF2rI2.qU2rAqV2rA2.qM2qQqN2qQ2.qE2qIqF2qI2.pU2qApV2qA2.pM
2pQpN2pQ2.pE2pIpF2pI2.U2pAV2pA2.M2QN2Q2.E2IF2I2.6A3.A$21.yO.yM2yL2yJyI
yG.yE2yD2yByAxW.xU2xT2xRxQxO.xM2xL2xJxIxG.xE2xD2xBxAwW.wU2wT2wRwQwO.wM
2wL2wJwIwG.wE2wD2wBwAvW.vU2vT2vRvQvO.vM2vL2vJvIvG.vE2vD2vBvAuW.uU2uT2uR
uQuO.uM2uL2uJuIuG.uE2uD2uBuAtW.tU2tT2tRtQtO.tM2tL2tJtItG.tE2tD2tBtAsW
.sU2sT2sRsQsO.sM2sL2sJsIsG.sE2sD2sBsArW.rU2rT2rRrQrO.rM2rL2rJrIrG.rE2rD
2rBrAqW.qU2qT2qRqQqO.qM2qL2qJqIqG.qE2qD2qBqApW.pU2pT2pRpQpO.pM2pL2pJpI
pG.pE2pD2pBpAW.U2T2RQO.M2L2JIG.E2D2BA3.A$22.2yN2yL2yJyIyH2yF2yD2yByAxX
2xV2xT2xRxQxP2xN2xL2xJxIxH2xF2xD2xBxAwX2wV2wT2wRwQwP2wN2wL2wJwIwH2wF2wD
2wBwAvX2vV2vT2vRvQvP2vN2vL2vJvIvH2vF2vD2vBvAuX2uV2uT2uRuQuP2uN2uL2uJuI
uH2uF2uD2uBuAtX2tV2tT2tRtQtP2tN2tL2tJtItH2tF2tD2tBtAsX2sV2sT2sRsQsP2sN
2sL2sJsIsH2sF2sD2sBsArX2rV2rT2rRrQrP2rN2rL2rJrIrH2rF2rD2rBrAqX2qV2qT2qR
qQqP2qN2qL2qJqIqH2qF2qD2qBqApX2pV2pT2pRpQpP2pN2pL2pJpIpH2pF2pD2pBpAX2V
2T2RQP2N2L2JIH2F2D2BA2.A$5.A7.A7.A2yN2yL2yJyIA2yF2yD2yByAA2xV2xT2xRxQ
A2xN2xL2xJxIA2xF2xD2xBxAA2wV2wT2wRwQA2wN2wL2wJwIA2wF2wD2wBwAA2vV2vT2vR
vQA2vN2vL2vJvIA2vF2vD2vBvAA2uV2uT2uRuQA2uN2uL2uJuIA2uF2uD2uBuAA2tV2tT
2tRtQA2tN2tL2tJtIA2tF2tD2tBtAA2sV2sT2sRsQA2sN2sL2sJsIA2sF2sD2sBsAA2rV
2rT2rRrQA2rN2rL2rJrIA2rF2rD2rBrAA2qV2qT2qRqQA2qN2qL2qJqIA2qF2qD2qBqAA
2pV2pT2pRpQA2pN2pL2pJpIA2pF2pD2pBpAA2V2T2RQA2N2L2JIA2F2D2BA$4.A2.A4.A
2.A4.A.yOAyMyL2yJAyHyGAyEyD2yBAxXxWAxUxT2xRAxPxOAxMxL2xJAxHxGAxExD2xB
AwXwWAwUwT2wRAwPwOAwMwL2wJAwHwGAwEwD2wBAvXvWAvUvT2vRAvPvOAvMvL2vJAvHvG
AvEvD2vBAuXuWAuUuT2uRAuPuOAuMuL2uJAuHuGAuEuD2uBAtXtWAtUtT2tRAtPtOAtMtL
2tJAtHtGAtEtD2tBAsXsWAsUsT2sRAsPsOAsMsL2sJAsHsGAsEsD2sBArXrWArUrT2rRA
rPrOArMrL2rJArHrGArErD2rBAqXqWAqUqT2qRAqPqOAqMqL2qJAqHqGAqEqD2qBApXpW
ApUpT2pRApPpOApMpL2pJApHpGApEpD2pBAXWAUT2RAPOAML2JAHGAED2BA$A7.A7.A4.
2yOyNA2yK2yI2yGyFA2yC2yA2xWxVA2xS2xQ2xOxNA2xK2xI2xGxFA2xC2xA2wWwVA2wS
2wQ2wOwNA2wK2wI2wGwFA2wC2wA2vWvVA2vS2vQ2vOvNA2vK2vI2vGvFA2vC2vA2uWuVA
2uS2uQ2uOuNA2uK2uI2uGuFA2uC2uA2tWtVA2tS2tQ2tOtNA2tK2tI2tGtFA2tC2tA2sW
sVA2sS2sQ2sOsNA2sK2sI2sGsFA2sC2sA2rWrVA2rS2rQ2rOrNA2rK2rI2rGrFA2rC2rA
2qWqVA2qS2qQ2qOqNA2qK2qI2qGqFA2qC2qA2pWpVA2pS2pQ2pOpNA2pK2pI2pGpFA2pC
2pA2WVA2S2Q2ONA2K2I2GFA2C2A$21.2yOyNyM2yK2yI2yGyFyE2yC2yA2xWxVxU2xS2xQ
2xOxNxM2xK2xI2xGxFxE2xC2xA2wWwVwU2wS2wQ2wOwNwM2wK2wI2wGwFwE2wC2wA2vWvV
vU2vS2vQ2vOvNvM2vK2vI2vGvFvE2vC2vA2uWuVuU2uS2uQ2uOuNuM2uK2uI2uGuFuE2uC
2uA2tWtVtU2tS2tQ2tOtNtM2tK2tI2tGtFtE2tC2tA2sWsVsU2sS2sQ2sOsNsM2sK2sI2sG
sFsE2sC2sA2rWrVrU2rS2rQ2rOrNrM2rK2rI2rGrFrE2rC2rA2qWqVqU2qS2qQ2qOqNqM
2qK2qI2qGqFqE2qC2qA2pWpVpU2pS2pQ2pOpNpM2pK2pI2pGpFpE2pC2pA2WVU2S2Q2ON
M2K2I2GFE2C2A.A3.A$21.2yOyNyL.yJ2yI2yGyFyD.yB2yA2xWxVxT.xR2xQ2xOxNxL.
xJ2xI2xGxFxD.xB2xA2wWwVwT.wR2wQ2wOwNwL.wJ2wI2wGwFwD.wB2wA2vWvVvT.vR2vQ
2vOvNvL.vJ2vI2vGvFvD.vB2vA2uWuVuT.uR2uQ2uOuNuL.uJ2uI2uGuFuD.uB2uA2tWtV
tT.tR2tQ2tOtNtL.tJ2tI2tGtFtD.tB2tA2sWsVsT.sR2sQ2sOsNsL.sJ2sI2sGsFsD.sB
2sA2rWrVrT.rR2rQ2rOrNrL.rJ2rI2rGrFrD.rB2rA2qWqVqT.qR2qQ2qOqNqL.qJ2qI2qG
qFqD.qB2qA2pWpVpT.pR2pQ2pOpNpL.pJ2pI2pGpFpD.pB2pA2WVT.R2Q2ONL.J2I2GFD
.B2A2.A$19.yJ2yNyK2yN2.yB2yFyC2yF2.xR2xVxS2xV2.xJ2xNxK2xN2.xB2xFxC2xF
2.wR2wVwS2wV2.wJ2wNwK2wN2.wB2wFwC2wF2.vR2vVvS2vV2.vJ2vNvK2vN2.vB2vFvC
2vF2.uR2uVuS2uV2.uJ2uNuK2uN2.uB2uFuC2uF2.tR2tVtS2tV2.tJ2tNtK2tN2.tB2tF
tC2tF2.sR2sVsS2sV2.sJ2sNsK2sN2.sB2sFsC2sF2.rR2rVrS2rV2.rJ2rNrK2rN2.rB
2rFrC2rF2.qR2qVqS2qV2.qJ2qNqK2qN2.qB2qFqC2qF2.pR2pVpS2pV2.pJ2pNpK2pN2.
pB2pFpC2pF2.R2VS2V2.J2NK2N2.B2FC2F2.2A3.A$19.yHyIyL2yM3.xXyAyD2yE3.xP
xQxT2xU3.xHxIxL2xM3.wXxAxD2xE3.wPwQwT2wU3.wHwIwL2wM3.vXwAwD2wE3.vPvQvT
2vU3.vHvIvL2vM3.uXvAvD2vE3.uPuQuT2uU3.uHuIuL2uM3.tXuAuD2uE3.tPtQtT2tU
3.tHtItL2tM3.sXtAtD2tE3.sPsQsT2sU3.sHsIsL2sM3.rXsAsD2sE3.rPrQrT2rU3.rH
rIrL2rM3.qXrArD2rE3.qPqQqT2qU3.qHqIqL2qM3.pXqAqD2qE3.pPpQpT2pU3.pHpIpL
2pM3.XpApD2pE3.PQT2U3.HIL2M3.2AD2E$19.yIyJyKyL4.yAyByCyD4.xQxRxSxT4.xI
xJxKxL4.xAxBxCxD4.wQwRwSwT4.wIwJwKwL4.wAwBwCwD4.vQvRvSvT4.vIvJvKvL4.vA
vBvCvD4.uQuRuSuT4.uIuJuKuL4.uAuBuCuD4.tQtRtStT4.tItJtKtL4.tAtBtCtD4.sQ
sRsSsT4.sIsJsKsL4.sAsBsCsD4.rQrRrSrT4.rIrJrKrL4.rArBrCrD4.qQqRqSqT4.qI
qJqKqL4.qAqBqCqD4.pQpRpSpT4.pIpJpKpL4.pApBpCpD4.QRST4.IJKL4.ABCD!
edit5:
train

Code: Select all

x = 12, y = 3, rule = 12-ai3-e/3-jn4-t/256
.OA2.UA2.pCA$NONATUTApBpCpBA$.OA2.UA2.pCA!
edit6:
splitterrules wrote: April 19th, 2025, 10:06 am (27,14)c/809 with same dynamics:

Code: Select all

x = 16, y = 14, rule = B3-k4ce5e6i/S2-i3-ak4eity6ei
3bo$b4o$o3bo$o2bo$3o7$14bo$13bobo$13b2o!
does this emulate a termite

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: April 29th, 2025, 9:51 pm
by confocaloid
Two p4 oblique (5,2)c/2 spaceships, "circular" neighbourhood (range 4), possibly known

Code: Select all

#C preserved in 2^104 cellular automata of the same type:
#C optional birth conditions (50): 19-68
#C optional survival conditions (54): 5, 7-8, 11, 19-68
#C [[ THEME Golly GRID TRACKLOOP 4 10/4 4/4 ]]
x = 25, y = 53, rule = R4,C7,S5,B5,NC
8.2E$11.4C$12.D$7.2F2.D$7.2F.FD2.E3.2A$3.E2.6F2DE$7.F.3F2DED3.C$4.E5.
7D2BC$8.C3.DE3D2BCB3.A$6.E5.EA2.6B2.A$17.BC3B2.A$14.A2.C$23.A$16.A5.A
26$5.2E$8.4C$9.D$4.2F2.D$4.2F.FD2.E3.2A$2.7F2DE$E3.F.3F2DED3.C$8.6D2B
C$9.DE3D2BCB3.A$6.C2.E2.7B2.A$10.A3.BC3B2.A$8.C5.C$20.A$19.A!
p13 oscillator and p3 orthogonal c/1 spaceship, (12+1)-cell "range-2 von Neumann" neighbourhood

Code: Select all

#C preserved in 2^6 cellular automata of the same type:
#C optional birth conditions (3): 9, 11-12
#C optional survival conditions (3): 10-12
#C [[ THEME Golly GRID ]]
x = 20, y = 8, rule = R2,C4,S3,5-6,9,B3,6-8,10,NN
13.2AB$BCB10.2BC$A.A10.C.C.2A$A.A13.C3A$A.A13.C3A$A.A10.C.C.2A$BCB10.
2BC$13.2AB!
Several rakes

Code: Select all

x = 87, y = 138, rule = 3467/27/4
26.C2.BCABA$25.B.B.A.BCBA$25.3A.2A2.A.A$27.2B3.2AB2A$26.3A2.6A$30.C2.
B5A$28.2B3.C5A$28.C.2CB.C.A$29.2B2A3BA$29.2A2.C.A31$70.BC.A$66.A.A.C.
B3A$65.BCB.B.BABA.A$66.A2.3A2B4A$63.ABA.2A.BA2B4A$63.2ACA.A2.2ABA.A$
64.2A.2ACB.B3A$65.ABC3.C.A23$74.A$72.ABCB2.CBA$70.ABC3.C.A.CBA$68.ABC
2.BCBABC.A.CBA$68.ABC.AB2.2A2.B.A.A$69.AB2C4.CBCA2B4A$70.AB5.B.B2CB4A
$77.4ACB2A$78.A.C4A$80.AB.A20$C.C7.2A$.B8.2BA$8.C.CA.A$9.B.4A$3.BC7.A
.A$2.C.A8.4A$AB.B8.2ABA.A$.BC.C5.B.A2B4A$ABCA2B3.C.8A$.AB.ACA2.B.A.A.
A.A$3.C2.B.2ACB2.CBA$5.AC2.BA$6.2BC$5.C.A$5.B$4.CA$3.CB$3.BA$.2CA$.2B
$.2A8$65.A$63.ABCB$62.BC2.B.A$61.AC2.C.2B2A$62.B.B.BC2A.A$61.2ACB2.C
5A$62.B.CA.6A$62.C3.BA.A.A$68.CBA$66.CBA$65.CBA!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 2nd, 2025, 12:21 am
by Citation needed
Is the rule "KnightSeeds" known?

Code: Select all

x = 1, y = 1, rule = R2,C2,S,B2,N@54422a
obo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 2nd, 2025, 2:43 am
by b-engine
This "big B" is a diagonal 7c/100 rake:

Code: Select all

x = 4, y = 5, rule = B2eik3aijy4i5jkn6a7c/S1c2cek3n4c5ae
b3o$o2bo$o2bo$o$4o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 2nd, 2025, 4:12 am
by confocaloid
Luckily, the forum search appears to work for custom/weighted neighbourhoods reasonably well (not that there's any obvious way to tell whether it actually returns all valid matches; judging by past experience, some old posts may be missing) -
search.php?keywords=54422a+B2
search.php?keywords=54422a

That said, "is this known" may not be the most interesting question in this context. The idea of using that particular neighbourhood (the 8 cells "one knight's move away") is known. The idea of using outer-totalistic set of rules (so that only the number of cells of each state is considered; their specific configuration is otherwise ignored) is also known.

The more interesting question may be, did anyone discover anything of interest in the cellular automaton R2,C2,S,B2,N@54422a so far? You posted obo! pattern, which here is a phase of a p2 oscillator. Are there any other objects likely to be considered interesting? Are there reasons to be interested in this particular CA?
Citation needed wrote: May 2nd, 2025, 12:21 am Is the rule "KnightSeeds" known?

Code: Select all

x = 1, y = 1, rule = R2,C2,S,B2,N@54422a
obo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 2nd, 2025, 7:36 am
by Naszvadi
b-engine wrote: May 2nd, 2025, 2:43 am This "big B" is a diagonal 7c/100 rake:

Code: Select all

x = 4, y = 5, rule = B2eik3aijy4i5jkn6a7c/S1c2cek3n4c5ae
b3o$o2bo$o2bo$o$4o!
Corderized:

Code: Select all

x = 1341, y = 1257, rule = B2eik3aijy4i5jkn6a7c/S1c2cek3n4c5ae
464b3o$464bo$463bo14$432b3o$432bobo11$321b2o2b3o$321bobobo$323bo$323b
2o9$505b2o$504bobo$504bo$504bo9$283bo$283bo$283b2o$285bo13$295bo70b2o$
296bo68bobo$297bo67bo$296b2o67bo2$439b3o$439bobo5$242bo$243bobo300bo$
244b2o299bo$544bo$544b2o22$202b2o$202bo$203b3o$407bo$268b3o135bo$270bo
134bo$271bo133b2o10$585b3o$585bo$584bo7$446b3o$162bo283bobo$162bo$162b
2o$164bo15$242b2o202b3o$242bobo201bo$244bo200bo$244bo6$121bo$122bobo$
123b2o$626b2o$625bobo$625bo$625bo20$81b2o$81bo$82b3o$453b3o$453bobo$
216bo270b2o$217bo268bobo$218bo267bo$212b3ob2o268bo$212bob4o$212b3o3$
211b2ob2o$211bobobo$211bobobo$211bo3bo$212b3o452bo$666bo$665bo$665b2o$
223bo$224bo$225bo$225bo$224b2o$41bo143b2o$41bo143bo$41b2o143bo$43bo
143bo11$220bo$219bo$218bo$218b2o2$528bo$527bo$207b3o316bo$207bobo316b
2o5$o$bobo$2b2o3$706b3o$706bo$460b3o242bo$460bobo2$6bo$5bo$4bo$4b2o10$
184b3o$184bo$183bo3$259b3o$259bo$258bo3$567b3o$567bo$566bo5$477b2o$
477bo$477b2o3$747b2o$746bobo$469b3o62b2o210bo$468bo65bo182bo28bo$468b
2o64b2o179b2obo$713b3ob2o$45b3o166b3o495bobob3o$45bo168bobo494bo2bo$
44bo666b2obo$591b2o117bo$591bo$591b2o123bo$712bobo$712bobobo$712bo3bo$
712bob2o$648b2o71bo$648bo72bo$225b2o421b2o59bo9bobo$224bobo482bo6bo3bo
$224bo492bobo$224bo493bo$715b2o3bo$300b2o403b2o9b4o$299bobo403bo$299bo
405b2o5bobo$299bo412bo5bo$484b3o226b2o2b2o$484bo123b2o105b2o$483bo123b
obo$607bo$607bo2$500bo$498b2o$498bobo$498bobo3bo$501bo2bo$501bo2bo$
501b3o$496b5obo285bo$495bo5bo239b2o44bo$494bobobobobo237bobo43bo$495bo
b3obo238bo45b2o$496b2ob2o239bo$498bo$86b2o$85bobo$85bo$85bo5$757b2o$
723b3o30bo$723bobo30bobo$755bo2b2o3bo$266bo489bo2bo2bobo$265bo490bobo
5bo$264bo492bo6bo$264b2o496b2o$760b2o$221b3o117bo$221bobo116bo$339bo$
339b2o2$649bo$648bo$647bo$647b2o10$827b3o$827bo$826bo3$127bo$126bo$
125bo$125b2o10$305b3o$305bo$304bo3$380b3o$380bo$379bo3$688b3o$688bo$
687bo$730b3o$730bobo7$228b3o$228bobo637b2o$867bobo$867bo$867bo3$166b3o
$166bo$165bo10$346b2o$345bobo$345bo$345bo2$421b2o$420bobo$420bo339b2o$
420bo339bo$760b2o$729b2o$728bobo$728bo$728bo$817b2o$817bo$817b2o4$926b
o$874b2o48b2ob2o$874bo34bo14bob2obo$874b2o32bo15b2o$907bo16b2o$755bo
151b2o22bo$753b2o167b5o$753bo168bo5bo$207b2o544bo168b2o5bo$206bobo715b
o3bo$206bo$206bo$947bo$945b2o$945bo$945bo3$235b3o$235bobo$387bo39bo$
386bo$385bo38bo5bo$385b2o40bo2$422bo2bo3bo2bo29bo$461bo$427bo32bo$424b
o5bo29b2o2$427bo342bo$769bo$285b2o481bo$285bo482b2o$285b2o3$962bo$961b
o$342b2o616bo$342bo617b2o$342b2o2$948b3o$948bo$418bobo526bo$399b2o17b
4o372b3o$399bo16b2o375bo$248bo150b2o15b2o3bo371b2o$247bo168b2o3bo$246b
o$246b2o171bo2$986b3o$985bo$440bo544b2o$439bo$438bo493b3o$438b2o492bob
o3$426b3o$426bo$425bo$272b3o$271bo158b3o$271b2o157bobo68b3o$501bo$500b
o3$464b3o342b3o$463bo345bo$463b2o343bo5$1001b3o$1001bo$1000bo3$989b2o$
988bobo$988bo$835b2o151bo$834bobo$833bo61bo$287b3o604bo$287bo607bo$
286bo2$1027b2o$1026bobo$952bo72bo$479b3o469bo$479bo472bo$478bo3$467b2o
$466bobo540bo$466bo541bo26bo$313b2o151bo542bo23bo2bo$312bobo722bo$311b
o230b2o488bobobo$541bobo488b2ob2o$541bo492bo$541bo2$505b2o343b2o$504bo
bo342bobo$503bo345bo$849bo30b3o56b3o$879bo59bobo$879b2o160bo$1041bo$
1040bo$1040bo3$437b3o$437bobo590bo$1029bo$1028bo$363bo512bo151b2o$362b
o511b2o$363bo510bo163bo$328b2o544bo159b2o2bo$327bobo704b2ob2o$327bo
708bo$327bo30b3o$357bo62bo$357b2o60bo$420bo$520b2o$519bobo$519bo$519bo
$477bo$476bo31bo$477bo29bo$506bo27b2o$354bo151b2o25bo$352b2o179bo3bo$
352bo181bo48bo$352bo186bobo40bo$534bo2bobobo39bo$532b2ob2o2b2o40b2o$
530b5o3b3o$530bo6bobo351bo$529bobo5b2o351bo$530bo7bo350bo$530b9o350b2o
30b2o$532bo3bo383bobo$919bo$532bo2bo$531bo$531b2o228b3o$761bo$760bo6$
543b2o370b3o$545bo368bo$369bo174b2o368b2o$368bo175bobo$367bo171bobo2b
2o400b3o$367b2o30b2o137bo6bo400bobo$398bobo138bo4bo$397bo141b2o190b3o$
541bo189bobo4$444b3o$444bobo5$393b3o$392bo$392b2o228b3o$622bo$621bo3$
930b3o$930bo$929bo32bo$960b2o$960bo$960bo2$802b2o$801bobo$801bo$801bo
2$977b3o$946b3obo24b2o3b2o$946bo3bo23bo7bo$946bo3bo23bob5obo$947b4o22b
ob2o3bo2bo$973bo8bo$408b3o569b3o$408bo563bo$407bo32bo501bo28bo$438b2o
531b2o$438bo531bobo$438bo532b3o$971b2ob2o$946b2o24bob2obo$946b2o24b2o
3bo$974b3o6$434b2o$433bobo$432bo230b2o$662bobo$662bo$662bo$738b3o$738b
obo4$451b3o$451bobo2$843bo$842bo$841bo$841b2o$453b3o$452bo2bo$451bo3bo
$450bo2b2o$450b2o$449b2o$448b3o$448bobo20bo$448bo21bo$449bob2o16bobo$
450b2o17bobo3b2o$452bo16bo2bo3bo$470bobo4bo$470b5obo$472b4o10$704bo$
703bo$702bo$702b2o10$882b3o$882bo$881bo6$745b3o$745bobo19$743b3o$743bo
$742bo10$923b2o$922bobo$922bo$922bo22$752b3o$752bobo2$784b2o$783bobo$
783bo$783bo9$964bo$963bo$962bo$962b2o25$825bo$824bo$823bo$823b2o10$
1003b3o$759b3o241bo$759bobo240bo26$864b3o$864bo$863bo7$773b2o$773bo$
773b2o$1044b2o$1043bobo$766b3o274bo$765bo251b2o24bo$765b2o63b2o187bo$
830bo186bobo$830b2o185bobo$1018bo4$887b2o$887bo$887b2o5$944b2o$944bo$
944b2o$1020b2o$1019b2o$1017bo2b2o$1017b2o$1001b2o13b2o2b2o$1001bo15bob
3o$781b3o217b2o12b3obo$781bo123b2o111b2o$780bo123bobo107b2o2b2o$904bo
109bo2bobo$904bo109bo3bo$1015b3o6$798b3o$798bo2bo$797bobob2o282bo$792b
3ob2obobobo234b2o44bo$791bo3bob2o3b2o233bobo43bo$791b2o2bo241bo45b2o$
790bobob2o241bo$791b2obo3b2o$791bo2bo3b5o$792b3o5b3o7$1022b3o$1022bobo
$1062bo$1060bo2b2o$1060bobo2bo$1057b2o4bobo$1056bo4bo4bo$1055bo2b2o6bo
$1055b2o$1054bo3bo$1055bob2o$1056bo3$946bo$945bo$944bo$944b2o10$1124b
3o$1124bo$1123bo26$985b3o$985bo$984bo44b3o$1029bobo9$1165b2o$1164bobo$
1164bo$1164bo24$1056b2o$1026b2o28bo$1025bobo28b2o$1025bo$1025bo3$1113b
2o$1113bo$1113b2o$1225bo$1223b2ob2o$1221b9o$1206bo14bo7bo$1170b2o33bo
14bobo5bobo$1170bo33bo16bo7bo$1052bo117b2o32b2o17b7o$1050b2o168bob3ob
2o$1050bo168bo5bo$1050bo167bo2bo6b2o$1218bo2bo2bobo3bo$1218bo4bobo2bo
2bo$1219bo4bo3bobo$1219b3o2bo4b2o13bo$1221b3o4bo13b2o$1242bo$1242bo15$
1067bo$1066bo$1065bo$1065b2o4$1259bo$1258bo$1257bo$1257b2o3$1245b3o$
1245bo$1244bo$1091b3o$1090bo$1090b2o5$1283b3o$1282bo$1282b2o$1231b3o$
1231bobo14$1106b3o$1106bo$1105bo5$1298b3o$1298bo$1297bo3$1286b2o$1285b
obo$1285bo$1132b2o151bo$1131bobo$1130bo2$1191bo$1190bo$1191bo$1324b2o$
1323bobo$1322bo2$1248bo$1247bo$1248bo5$1305bo31bo$1304bo31bobo$1305bo
31b2o$1331bo5bobo$1330bo6b2o$1329bo6bobo$1330bob2o3bo$1147b2o181bo2bo$
1146bobo182b3o$1146bo91b3o$1146bo30b3o58bobo$1176bo$1176b2o7$1327bo$
1326bo$1325bo$1173bo151b2o$1171b2o$1171bo$1171bo$1338b2o$1336bo2bo$
1338bobo$1335bo3bo$1336bob2o$1337bo16$1188bo$1187bo$1186bo$1186b2o30b
2o$1217bobo$1216bo11$1212b3o$1211bo$1211b2o$1245b3o$1245bobo21$1227b3o
$1227bo$1226bo32bo$1257b2o$1257bo$1257bo8$1243b2o$1243b2o$1242b2o2bo
30bo$1242bo6b3o$1242b2o2bo2bobo$1243bo2bo5bo$1243b3o5bo18b3o9b2o$1248b
4o18bo2bo8b2o$1248b2o20bo2bo$1273bo$1270b4o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 2nd, 2025, 7:42 am
by confocaloid
^^ See also another solution: viewtopic.php?p=210995#p210995
confocaloid wrote: May 2nd, 2025, 5:25 am [...] EDIT: solved, p100 diagonal 7c/100 corderoid:

Code: Select all

#C [[ THEME Golly GRID TRACKLOOP 100 7/100 7/100 ]]
x = 1062, y = 1062, rule = B2eik3aijy4i5jkn6a7c/S1c2cek3n4c5ae
555b2o$555bo$555b2o4$517b3o$517bobo3b3o86b2o$523bo88bo$522bo89b2o5$
669b2o$669bo$669b2o5$726b2o$549b2o175bo$548bobo175b2o$547bo4$783b2o$
783bo$783b2o5$840b2o104b2o$840bo104bobo$840b2o79bo5bo16bo$920bo2bobo2b
o$919bo3bobo3bo$919b2o3bo3b2o$918b2ob2obob2ob2o$897b2o19bob2o5b2obo$
897bo20b2ob2o3b2ob2o$897b2o20b2o7b2o$919bo8b2o$920b3o$564b2o$563bobo
357bobo$563bo358bo16bo$563bo350b2o6bobo12b2o$914bobo6bobo11bo$913bo10b
o12bo$913bo$879bo33b5o$879bo41b2o$879bobo34bo5bo$880b2o34bo5bo2$918b3o
3$590bo$524b3o61b2o$524bobo61bo$588bo9$954bo$953bo33bo$952bo32b2o$952b
2o31bo$985bo3$838bo$839bo$839b3o4$605bo$604bo$603bo321b3o$603b2o320bob
o50b3o$977bo$977b2o11$629b3o$628bo$628b2o2$798b2o$798bo$799bo$800bo5$
993b3o$993bo32b3o$992bo32bo$1025b2o2$531b3o$531bobo7$644b3o362b3obo$
644bo364bo3bo$643bo365bo3bo$1010b4o2$758bo$758bo$758bobo244bo$759b2o4$
1009b2o$1009b2o30b3o$1041bo$670b2o368bo$669bobo$668bo$932b3o$932bobo
83bobo$1018b3o6$1057b3obo$1057bo3bo$1057bo3bo$1058b4o3$717bo$718bo334b
o$718b3o4$1057b2o$1057b2o$685b2o$684bobo$684bo$684bo6$538b3o$538bobo5$
711bo$709b2o$709bo$677b2o30bo$677bo$678bo$679bo$1011bobo$1011b3o5$729b
o4$722b3o9b2o$722bo2bo8b2o$722bo2bo$725bo213b3o$722b4o213bobo8$637bo$
637bo$637bobo$638b2o2$667b2o$667bobo$670bo14$1004bobo$545b3o456b3o$
545bobo4$596bo$597bo$597b3o16$641bo$642b2o$643bo$643bo302b3o$946bobo4$
556b2o$556bo$557bo$558bo8$997bobo$997b3o14$516bo35b3o$516bo35bobo$516b
obo$517b2o4$614b3o$617bo$616b2o17$953b3o$475bo477bobo$476bo513bobo$
476b3o511b3o18$588b2o$588bobo$591bo4$435b2o$435bo$436bo$437bo$559b3o$
559bobo13$983bobo$983b3o7$395bo$395bo$395bobo$396b2o$960b3o$960bobo3$
562bo$563b2o$564bo$564bo14$370b3o$373bo$372b2o4$581b2o$581bo$581b2o2$
566b3o407bobo$566bobo407b3o2$638b2o$638bo$638b2o$577bo$575b2o$575bo$
575bo$695b2o$695bo$695b2o5$752b2o$752bo$752b2o5$809b2o$809bo$809b2o
156b3o$967bobo3$344b2o$344bobo245bo273b2o$347bo243bo274bo$590bo275b2o$
590b2o4$923b2o$577b2o344bo$576bobo344b2o$576bo$576bo5$616b3o328b2o$
615bo332bo$615b2o330b2o4$975b2o$904b2o68bobo$905bo68bo$904b2o68bo5$
861b2o$862bo$861b2o5$818b2o181bo$819bo179b2o$318bo499b2o179bo$319b2o
678bo$320bo310b3o$320bo310bo$630bo$775b2o$776bo$775b2o2$618bo$617bo$
616bo402bo$616b2o114b2o$733bo$732b2o$647b3obo360b3o9b2o$647bo3bo360bo
2bo8b2o$647bo3bo360bo2bo$648b4o363bo$689b2o321b4o$690bo$689b2o5$648b3o
$650bo$650bo$647b3o12$291b3o$6b2o286bo$6bo286b2o$6b2o3$9bo$7b2o$7bo55b
2o$7bo55bo593b3o$63b2o592bo$656bo4$120b2o$120bo$120b2o5$177b2o494b3obo
$177bo495bo3bo$177b2o494bo3bo$674b4o4$234b2o433bo$234bo$24bo209b2o$23b
o$22bo$22b2o649b2o$673b2o$291b2o$291bo$291b2o$3o$obo262b2o$265bobo$
268bo$348b2o$348bo$348b2o$378bo$48b3o328bo$47bo331b3o$47b2o$405b2o$
405bo$405b2o7$412b3o$412bo32b3o$411bo32bo$444b2o3$401b3o$401bobo6$63b
3o272b2o$63bo274bo$62bo276bo98b2o$340bo96bobo$436bo4$239bo$240b2o$241b
o$241bo4$89b2o$88bobo$87bo7$7b3o$7bobo$298bo$298bo154b2o$298bobo151bob
o31b2o$299b2o151bo32bobo$452bo31bo10$104b2o$103bobo$103bo375bo$103bo
373b2o$477bo$477bo4$212b3o$215bo192b3o$214b2o192bobo2$257bo$258bo$130b
o127b3o$128b2o$128bo$128bo$490b3o11bo$490bo2bo7bo2bo$490bo2bo7bo2bo$
493bo7b3o$490b4o5$527bo$525b2o$525bo$525bo8$217b2o$145bo71bo$14b3o127b
o73bo326bo$14bobo126bo75bo$143b2o2$538b3o9b2o$538bo2bo8b2o$538bo2bo$
541bo$186b2o350b4o$186bobo$189bo5$169b3o$168bo$168b2o3$494bobo$494b3o
5$415b3o$415bobo13$184b3o$184bo$183bo6$160bo$161b2o$162bo$162bo2$200b
3obo$200bo3bo$200bo3bo$201b4o$21b3o$21bobo2$196bo3$487bobo$487b3o$200b
2o$200b2o17$422b3o$422bobo5$133b3o$136bo$135b2o15$480bobo$480b3o7$28b
3o$28bobo14$107b2o$107bobo$110bo9$429b3o$429bobo8$473bobo$473b3o19$81b
o$82b2o$35b3o45bo$35bobo45bo20$466bobo$466b3o4$436b3o$436bobo12$54b3o$
57bo$56b2o16$42b3o$42bobo6$459bobo$459b3o8$52b3o$50b2o2bo$50bo3bo$51bo
2bob2o$54bo$41b3o15bo$39b3ob3o13bo$38bobobobobo12bo$37bo3b3o2bo8bo$41b
obo2bo2b2o4b3o$38b2o8bo2bo391b3o$40b2o8bobo390bobo$38b2o8bo2bo37b2o$
41bobo45bo$37bo3b3o45b2o$38bobobob2o$39b3ob3o$41b3o2$146b2o$146bo$146b
2o3$50b3o$50bo$49bo153b2o$203bo$203b2o3$37bo$36bo$35bo224b2o$35b2o223b
o191bobo$260b2o190b3o4$76b2o$75bobo239b2o$74bo242bo$317b2o5$374b2o$
374bo$374b2o5$431b2o$431bo$431b2o5$459b3o$458bo$405b2o51b2o$91b2o313bo
$90bobo312b2o$90bo$90bo3$362b2o$363bo$76b3o283b2o$76bo$75bo3$319b2o$
320bo$117bo201b2o$115b2o$115bo$115bo2$276b2o$277bo$276b2o196b3o$474bo$
473bo3$233b2o$135bo98bo$233b2o3$128b3o9b2o$128bo2bo8b2o$128bo2bo58b2o$
131bo59bo298b3obo$128b4o58b2o298bo3bo$490bo3bo$491b4o3$147b2o$148bo
337bo$147b2o4$490b2o$117b2o371b2o$116bobo$116bo$116bo12$143bo$141b2o$
141bo$141bo10$161bo4$154b3o9b2o$154bo2bo8b2o$154bo2bo$157bo$154b4o!
Naszvadi wrote: May 2nd, 2025, 7:36 am [...] Corderized:

Code: Select all

x = 1341, y = 1257, rule = B2eik3aijy4i5jkn6a7c/S1c2cek3n4c5ae

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 3rd, 2025, 9:08 am
by WhiteHawk
b-engine wrote: May 3rd, 2025, 8:57 am I don't know the speed of this not-quite puffer made of spaceships:

Code: Select all

Really cool destruction & rebuilding reaction

Code: Select all

x = 16, y = 16, rule = B2eik3aijy4iz5jknq6i7c/S1c2cek3n4c5ek6c
11b3o$10bo3bo$10bo2bobo$10bobo2bo$11bo3bo$12b3o5$b3o$o3bo$o2bobo$obo2b
o$bo3bo$2b3o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 3rd, 2025, 9:21 am
by b-engine
Square root gun made of spaceships:

Code: Select all

x = 38, y = 38, rule = B2eik3aij4iz5jnq6k7c8/S1c2cek3n4n5ek
3bo$2bo$bo$o31$37bo$36bo$35bo$34bo!
Through that its period doesn't increase much each cycle.

EDIT:
Weird oscillator-like mist cloud methuselah:

Code: Select all

x = 13, y = 15, rule = R3,C2,S,B2,4,NW0001000010001000000001000001000000001000100001000
5bo$11bo$o3bobo$2bo5b4o2$3bo$10bo$6bo5bo$o3bobo3bo$7bo$5bo3bo$bo$5bo2$5bo!
Challenge: find a high-period oscillator in this rule.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 4th, 2025, 8:40 am
by confocaloid
b-engine wrote: May 4th, 2025, 7:08 am 2c/14 when trying to find a c/4 spaceship:

Code: Select all

x = 6, y = 7, rule = B3-c/S23-q5q6c
o$2o$4bo$4b2o$4bo$2o$o!
The same p14 orthogonal c/7 spaceship, the four standard spaceships and figure eight from CGoL, an alien p8 oscillator, an alien statorless p25 oscillator that can be used as a "stop and go"-like periodic 180-degree glider reflector to make high-period glider shuttles, and who knows what else, in a two-state isotropic cellular automaton defined using a fully-symmetric weighted neighbourhood:

Code: Select all

#C optional birth conditions (2588): 4-13, 17-25, 30-38, 44-52, 57, 59-64, 67-79, 81, 83-103, 105-107, 109-116, 121-129, 134-142, 148-155, 161-168, 172-181, 185-233, 240-246, 252-259, 265-272, 279-285, 290-298, 302-327, 329-350, 357-363, 369-376, 382-389, 396-402, 408-416, 420-443, 445, 447-467, 475-480, 487-493, 501-506, 513-519, 525-527, 529-532, 535, 540-547, 549, 551-562, 564-584, 591-597, 604-610, 618-623, 629, 631-636, 640-652, 655-664, 666-701, 708-714, 722-727, 735-740, 747-748, 750-754, 759-768, 770, 773-780, 783, 785-818, 824-831, 838-844, 852-857, 864-870, 874-886, 888-935, 943-949, 954-961, 968-975, 981, 984-987, 994-1003, 1006-1013, 1015-1017, 1019-1031, 1033-1045, 1047-1052, 1054-1055, 1057-1067, 1070-1071, 1073-1079, 1081, 1084, 1086-1091, 1093-1106, 1110-1119, 1121, 1123-1170, 1176-1183, 1187-1197, 1199-1209, 1211, 1214-1221, 1223, 1225-1239, 1241-1251, 1253-1300, 1303-1368, 1370-1429, 1431, 1433-1434, 1436-1451, 1453-1455, 1457-1459, 1461-1473, 1475-1486, 1488-1499, 1501-1534, 1536-1681, 1683-1691, 1693-1871, 1873-1875, 1877-1879, 1881-1927, 1929-2811, 2813-2924
#C optional survival conditions (2686): 0-12, 17-25, 29-38, 42-51, 54-65, 69-77, 80-130, 132, 135-142, 147-155, 161-168, 171-182, 184-194, 196-234, 239-246, 251-259, 265-272, 279-285, 288, 290-299, 303, 305-311, 313, 315, 317-338, 341-351, 354-363, 368, 370-376, 382, 384-389, 395-403, 408-416, 420-430, 432-443, 445-468, 471-480, 486-493, 500-506, 514-520, 525-532, 539-547, 550-559, 561, 563-564, 566-574, 576-585, 587-597, 605-610, 617-624, 630-637, 643-651, 656-663, 666-701, 703-707, 709-715, 719-727, 729, 734-741, 748-754, 760-767, 774-781, 783, 785-793, 795, 797-845, 847, 849-859, 864-872, 874-875, 877, 879-884, 886, 889-949, 951-963, 965, 968-976, 980-990, 994-1002, 1004, 1009-1015, 1017-1020, 1022-1082, 1084-1094, 1096-1105, 1107-1108, 1110-1120, 1122, 1126-1133, 1135-1146, 1148-1173, 1175-1210, 1212, 1214-1225, 1227-1236, 1240, 1242-1251, 1253-1328, 1330-1357, 1359-1602, 1604-2924
#C [[ GRID THEME MCell ]]
x = 75, y = 57, rule = R3,C0,S26-51,143-159,161-168,260-285,314,377-402,494-519,534,548,611-636,654,728-741,743-753,769,845-861,863-870,962-987,1079-1104,1134,1196-1221,1313-1338,1430-1455,1547-1572,1664-1689,1781-1806,1898-1923,2015-2040,2132-2157,2249-2274,2366-2391,2483-2508,2600-2625,2717-2742,2834-2859,B39-51,156-168,273-285,390-402,507-519,624-636,741-748,750-753,858-870,975-982,984-987,1092-1104,1209-1221,1326-1338,1443-1451,1453-1455,1560-1572,1677-1681,1683-1689,1794-1806,1911-1923,2028-2040,2145-2157,2262-2274,2379-2391,2496-2508,2613-2625,2730-2742,2847-2859,NW017575007575017501750175017575750D0D0D757500010D000D010075750D0D0D75757501750175017501757500757501
70bo2bo$74bo$70bo3bo$71b4o5$57b2o$35b3o18bo2bo$15b3o17b3o17b2ob2o$14bo
3bo16b3o17b3o13bo$15b3o20b3o14b2o12bo3bo$38b3o14b3o16bo$38b3o14b2ob2o
9bo4bo$56bo2bo10b5o$57b2o7$70b2o$68bo4bo$56bo17bo$57bo10bo5bo$55b3o11b
6o7$11bobo$6o6b2o$12bo53b2o$66bobo$47bo20bo$27b6o15bo19b2o$46b3o8$57bo
$58bo$56b3o$65b2o$65b2o3$65bob2o$65b2obo!
The weighted neighbourhood (weights are given in hexadecimal; '0D' means 13; '75' means 117):

Code: Select all

01 75 75 -- 75 75 01
75 01 75 01 75 01 75
75 75 0D 0D 0D 75 75
-- 01 0D -- 0D 01 --
75 75 0D 0D 0D 75 75
75 01 75 01 75 01 75
01 75 75 -- 75 75 01

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 4th, 2025, 7:42 pm
by CARuler
osc (in 1d)

Code: Select all

x = 9, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
2o2bo3bo!
edit:
bigger

Code: Select all

x = 8, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
2o4b2o!
edit2:
almost a ship

Code: Select all

x = 9, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
obobo2bo!
edit3:
diehard

Code: Select all

x = 9, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
2ob6o!
edit4:
some stuff

Code: Select all

x = 362, y = 309, rule = R2,C2,S0-5,B2,4,N@07c000
3b2ob2ob2ob2o8bobob3o4bo2bo2b3ob2o4bo2bobo2bob7ob3obo3b6o2bobo4b2obob
obob3o5bobo3bo4b6ob4ob4o3bo4bo3bo3bobob4o2bo5b4o2b2ob2ob3o2bo3b3o4bo2b
3obob3o9b4o3b5o4bob2obo3bo4b4o3b3o2bob8o2bo2bo2b3obo2bo2bob6o2bobo5b6o
bobobo2bo2b2obob2ob2obob5o3bob2obo2bob4obobobo$2obo2b6obo4b2o2bo2b2o2b
3o2bob2ob2obo2b2obo2b2o2b2o4b4obob3o5b2obob2obobob3o2bo2b8ob3o2b2ob3o
2bob2ob2o2bo2bob2obobo4bobob2o2b5o2b8o3b2o3bo2bob2obobo8b5ob2ob2o3b3o
5bo2bo2b2o3b5o4bob2o3b10obo3b2o2bobo2b2o5b2o2bo4bobo2b2ob3obob3ob6o4b
obob5o3bo2bob3o4b2o2b4obo2b3ob3o2b2o4b2o$o3bobob3obob6ob2o2bo2b2ob3o4b
2obobo3b4ob5ob4ob3ob2obo14bo3b3o2b3obob2o2bo2b4ob2obob2o3b2ob3o2bo2bo
7bobob3ob2obo3bo3b2obo2b8ob3obobobobobobo2bobo4b2o3bob3o6bo2b3obo6bob
3o2bo2bobobo4bobobob5ob2o3b4o2b3o2bobobo4b2o3bo2bo4b2obobo2b9obobobo3b
2o3b4obobo2b2o5bo2b7ob2o2bo$2o2bob3obobo2b2o3b3o2b4o4b3o2b3ob2ob2obo2b
o5bo3b2ob3o2bob2o3bobob2o5bobo2b3o3b3o2bo5bo3bo3bobobob2obob3o2b4o3bo
b2ob5obo2bobo5b2o5bob2o3bobob2o2bob2ob2o4bo3b2o2bo2b3o2bobobobo2bobo2b
ob2o5b5obob2ob5o2b2o2bo4bobo3bo3b6ob2obo6bo12b3ob2obobobob5o2b4o2b2ob
o4bobo2b3obobob2o2bobo$2o7bo3bo3b2obo2bo2bob4obo2b2obo2b2o3b2obo4bobo
3b2ob2obo2b5ob5obobobo2b2o5bo2b3ob3o2b4ob2o3b2o3b2obob3o2b4o4bo5b4o6b
obob2ob3ob4o3b2o3bo2b6o4bo3b2o2bob3obobo2b3o2bo2bo3bobob5obob2o3bobob
3o2b5ob2o3b2o5bo4b3o2bo3b3ob6ob3obo6b2o2b3o4b2o3b5o3bobo4b4o2bo2b2ob3o
bo6bobo$3b2o3b4o3b2o3bob2ob2o3b2ob2obo2b6ob2obob2o4bobo2b2o3b2o5b3obo
b2o2b3ob4obo3bo6b3o4b3o6b2obobo4b2ob2o3bob2ob3o2b2o3bo5bobo2b3o3bo6b2o
2bo3b2obob2ob2o2bo4b2ob2obobo3bob5o4bobo3b2obo3bo3bobo2b2ob2obo3bob2o
2b2ob3obo2bo5bobo3bo3b2ob4o4b2obo4b3o3bobobob2o2b2obob3o4b4o3b3o2b2ob
4o2bo3bo$2o3bob2o5b2o2b5o4b2ob3o3b3obo2b4o3bobo5b2obo2b4o2bo3bobobobo
2bo2b3o3b2obob3ob3ob3o4bo6bo5b4o2bo2bobob3obo2b4obo4bo2bo4b2ob2ob2obo
5b4ob4o3bo6bo3bo5b5ob3o2bob3obo4bob3ob4ob2obobobob2ob5obo3b2obo2b6obo
bobob2ob2o2b3o3b4obo3b3obo2bobob2o3bo2b2ob4o2bo5bo2bo3b2obo2b3o5bo2bo
$4bo2b3ob2o5b6ob2obo3bob2obob2ob3obob6obo2b3o5bob2ob3obo2bobo2b2o3b6o
bob2o3b2o3bo2b3o3b2o2b7o4b4ob3ob5o2b3o2bob4o2b3ob2ob3o5b2o3b2ob3o3bob
2o2bobobo4b2obo3bo3bob2o3bo6bobo2b2o5b5ob2o3bob3o2bobo2bobobob5o3bo5b
obob3o3b3o2bo2b3ob2obobo2b2ob10ob2o2bo2b3ob3o3b3o3bo3b3ob2o$ob2obob4o
b2o4bo3bob2o2bob5obo5b2ob3ob2o2bob2obo3bob4ob2o2b3ob2o2bob3o2b3o3b2ob
o3b2o4bo2bobobobo4b7obobob3obo2b3o2b4o2b2o4b9ob3ob2ob2o2b4ob2obob2ob2o
b8obob2obobob2ob6o2bob5o2b2obob7o2bob3o6bobobo4b2o5b2o2b2o2b7ob4o3bob
2ob3o2bo2bob2ob2ob4ob2obobobo4b2ob3obob6ob2o6bo2bo$2o2bo2b3o2bo3b4ob3o
2bob3o4b3obob2ob2o4bobob2o2bob6o3b6o2bob3o3bo2bobobo7b2ob2obo4bo3bo2b
5o4bo3bob4o3bobo2bob2o4bobob2o5bobo2bob4obob4ob5o4b2obo3b2o2b2obo2bob
2ob3o2bo2bobobo2b3obob2obob3o2bo3bo3b2o5b4ob3obob2o3b5o2b2o5bobo3b2o2b
3ob2o3bo4bobob3o2b7o2bob2obob2o2bob2obob3obo5bo$o2bob6o2bo3bob2o6bo2b
ob4o2bob3ob7o4b5ob3obobo2b2o5b3o2b3o3bo2bobo3bobobo2b2ob3o2b3o2b2o2bo
2b5o2bob5o3bobo3b2o4b8o5bob2o3b2obo2bobo2bo2b2o2b2o3bobob2o5bob6o2b2o
5bo3bob4o2b3o2bo2b4ob2o2bob2o3b2obobobo2b2o7b3o3bo2b2o3b6o4bobo3b4o2b
4obob6ob2o2b3o2bob2obobo3bo2b4o4bo$b3o2bo2bo2bobobob2o2b4obob3obobob2o
3bob2ob3o2b2obob3o2b3obo3b3o5b3o5b7ob2o4bobobo2b6ob3o4b2o3b3ob3obob5o
2bo4b3ob5obo2bob3ob5o2bo2bo2b2o2bob3o2b4ob2o3b4o7b6obo4bob2ob4o2b3obo
bo2b3o3b2o2bo9b2o4b9o2b2ob3ob4obo3b4o3bob6ob3o3bobobob5o6bob2obo2bo3b
o4b2ob3obo$obo3b7o2b2o5b2o4bobo2bo2bobobobob2o2bo2b2o2bob2o4b2o2bo2b5o
3bo3b2obob4o6bob2o2bob2ob2o2bobo5b3o2b4obob2obo2b5ob2o2b2o3bobobob2ob
4o2b2o5bobo3b2ob2ob2obob3obo2b2obobob2o2b3o3b2o4b2obobo2bo2b4obo5b5o3b
2o3b3obobo2b2obo4bobo6b2o3b6ob2o3b2ob4o2b3ob4obobo2bobobob2o7bo5b3o2b
3ob5o$bo2bobo2b2obo4b2o2b4obob2o2bo2b2o2b3ob3o2bo5bob2obo2bo4bobo6b2o
b2ob2obobo3b2ob5ob2obob6ob3o4bo2b2o2b6obobo4bob2ob4o3bob4ob7o5bo2b2o3b
obo2b2o2b2obo2b5obo3bobob3obobob4o2bobobo4b3o2b3o3b3o7bobob3o3b6o4bo9b
2ob2obo2bobo5bob3o3b4ob2o2bo4b6o2bobo2b2obob3ob4o5bob2obo3bo$bo2bob3o
b5o2b4o7b2o2bobob2ob3o2b3obob2o3b2obo2b4o2bob2ob2o2b2o3b2ob2o2b2o2b2o
bo3bo5bo2b3obo5bobob5obo3bob2ob2ob4obobob6ob3o2b4o2bo3b3ob2ob4ob2o4bo
bo3b2o2b2o3bobo5b8o3b2obobo3bob2o2bobobo4b2ob2ob2o3bo3bo3b2o2bobo5bo2b
2o4bob2ob3obobo2b3obob2obob3ob3o4b2ob2obo4bobo2b2o3b3o3bo2b5o2bo$bob2o
3bo8b2ob5o6bo2b5o7bo2b2obo2b3ob2obo3b2ob2o2bob4o4bobo2b2o3bo5bob6o2bo
2bo3b5ob3ob4obobo2bo2b3ob3o2b2obobo2b2o2b3obo4b3ob3o5bo2bobo3b2ob2ob3o
bo2bobo5b2ob2o2bob4ob2o2bob3ob2ob3o2b4ob3obob2ob6o4bob2ob5o2b4o2b2obo
4bobo3bobobo2b2o4b3o2bo3bo3b2ob3ob2o4bo2b5ob4obo4bob3o$ob4o3bobobob5o
b3obobobobo3bo2b2ob2o4bob3o4b2obo2bo3b2ob2o3bobob3obob4o5bo2bob3o3bo2b
3o5b2obob3o2bo4bobobob4ob2o2b3ob2o2b2obob3obob5o3b3o4b3o3bo5b5ob2obo3b
2obo3b2obo7b2o3bob3ob4obo2b2ob3o6b5ob2obo3b2o2b3o2bobo2b2obob5ob3o2b4o
b3o2b5o2b2ob4o2bo2bo2b3ob3o3bob2obo2b4obo2bo2bo3bo$3b2o2b9o3b6ob2o3bo
b3o2bo3bo2b3o2b3obo2b4ob3obo2b2o2b3obo2b3o5b2o2bob2obo3bo3bobobo2bo2b
5o7bo4bobo7b2o3b2obob2o2bo7b2obob3o5bo3b2ob3o3b10o2bo4bo2bobo3b2ob4ob
3o2bo3b6ob2obo6bo2bo4bob3obob4obobo3bobobo6bo3bo3b4obobobob3o8bobobob
2ob2o3b2o5b2o2bobo2b2obo3b3ob3o$o2bobo2b6o3bob2o3b3o3b5o2bobob4ob3o5b
2obo2bo4b3o3b2o2b3o2bo9b2o5bo2bo2b3o3b4ob3obo2b2ob5ob5obo6b2o2bo3b4o3b
o4b2ob5ob2o2bo3b2o2bob4o3b6o2b6ob2ob3obob5o4b2ob3obo2b3obo2bo4bo4bob3o
6bo2bo3b2o4b2ob3o2bo4bo2b2o6bob5obo2bobob2ob2o2bo4b4obo3b2o3bo6b2o4b7o
$2o2b2obob3o2bo5b7ob2o2b4ob2o2b2obo2bobobobob3o3b2o4b3o2b2o4bo2b2ob2o
b3obo2b4ob2ob2obo2b2o2bobo2bobobobobo2bo3bobobo2bo3bo4b2o2bobo3b3o2b3o
bo3b3o7bobo3b3o3b2obo3bob2ob4o3b5ob3obobobobo4b2obo2bobo3bo2bo2bo3b10o
b2ob2obo3bo3bo3b3o2bo2bob4obobo3bobobo2b3obo2bo2bobob2o2b6o2bobobobob
2o2bo2bob3ob3o$o3bo4b2ob7obobo3bob3obo2bob2ob2o2b2ob3o2bo2b2o3b2ob3o3b
obo2bob4o2b2ob11o7bobobo2b2o2bo4bobo3b4obo2b2o2bob4o2bob2obo5b2o2bobo
2b4obo2b2ob5o4b3obo2b3o3bob2o4bo4b4o2b2o3bobob2o5b3ob3ob4ob2obobo2b4o
b5ob2ob2obobo2bob2o2b2obobo3b3o2b2obo3b2o3b3obo4bo3bo2b2o2b5o2bo4b6o2b
o2bobobo2bob2o$o2b2o3b4ob2ob2o3bobo2bo3b4ob8obo9bo2b2obob2ob3obob4ob3o
b2ob2o2b2ob5obo2bo2bob4o5bo6bo3bobo5bo2bob2ob2o4b2o2bo2bob6obo4bob2o3b
o3bobobo3bo3b4o2b3o3b3obobobo2b2obo2b3ob2o2b2obo2bobo3b2ob4o2bo4bo4bo
2b2ob2o3b2o3bobobo2bobo3bob2obob4o2b2o5b2obo9b2obo2bo2bob2o2b3o4bob2o
3bob2o3bo2bo$2bo4b2o3bo3b3ob4ob2o2bo2bo2bo2bob2o2bob2obo3b2ob3o2b3o3b
obo3bo2bo2b2o4b3o3bo5bobo2bo3b2obobob2obobobobob2ob3o3b3o2bob3obobob4o
2b3o2bo4b2o2b2o3bob5o2bob2o2b3ob4obob3ob2obo2b2obobob3o2bobobob4o4bob
9o3bobo3b3ob2o11bo5bo4b2o3b3o5b2o2b3obo2b2ob5o2bobo2b2obo2bob3ob5o2b2o
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2bo4bobobobob3o2bobo4b2o2b3o2bob2o4bo2bo2bob4o2b2obobo3b2ob2ob3ob8ob2o
2bo2bobo3b5o2bo3bo2bo3bo2b3o$2o6bo2b2obob2o4bobobob2o2bo2bo2b2o2bo2b2o
bo2b2o4b2o2bo3b3ob2o2bo5bo2bob2obobo4b5o2bob3obo2bob2obob3obobobobob3o
b4ob3o2b4o2bo4b4o2b2o3bo4bo3bo4b3ob2o8bo3bobobo6bo4bob9ob3obobob2ob2o
5bo4bo2b4o3bob2ob4ob2ob3o2bo2b2o2bobobo2b3ob2o2bo5bobob2o5bob3o4b3o2b
3ob2o2b2o2b2obo2b3ob2o2bobobobo$3o2b3obo5b4obo2b2o2bobo3bob4ob3o2b2ob
ob4o8bo2bo4b3obobobo4b5ob2o5bob3o2b4o4bob2obobobobo3bobobo2b2o2bob2o2b
9obo3bob2o3b4obob3ob2o5b5obob3o2bob4obo4bo2b3ob2obo2bo3bob2o2b2obo3b3o
b2o5b3o3bo3bo3b2ob4ob2obo3bob4o7b2o3b2o3bobo2bo3b2ob2obo2bo7b6ob2o4bo
bobob4obobo5b4o$bo6b2ob2ob2obob4ob3obo2b4o3bo2bob3o6bobob2obob3o3b2ob
obob2ob4o2b2o4bo4bo4bob4o3b2o3bo4b2o3b3o3bo3bob3obob5o2b6o5bo3b2o4bo2b
2ob2obo2bo2bo3bo2bo9b3o2b5ob4ob3ob3obobobob2obob7o2bo4b2o3b2obobobob4o
3b2o3b3o3b3ob3obobobo3bobobob2o3b3o2bo3b5o4bobobob2obo2bob2obo3bobo2b
obob2o$3obo3bo2b4ob2ob2o2bob4obobo2b3o12b2o7bo2bo3bo2b3obo2b2o2bobobo
bob3o3b2obo2b2ob4obobob2o4bo2bobob3ob3o5b3o2bo2b3obobobo4bo2b5obo2b2o
b6o2b4ob3ob2o2bob2o7bo6b2ob2o2b5ob2obob2obo2b3obo3b2o2bobo2b3ob2o5b3o
3b2o2bo3b3o4b2o2b2ob2o3bobo4bo3b6ob2o2b5o2bo2b3obob6obo3bo2bobo2b4ob2o
$o5bob5obobobob3obo2bob2obob2ob2obo2b3obobobo2b5obo4bobo4b2ob2o2b3o2b
obobo2bo2bob2ob5o2bo5b2ob3obobo3b3ob7o3b3ob2ob3o2b2obo4bobo3b3ob4ob2o
2b3o4b5obo4bo3b4o3b3ob2obobo2b2obobo4b4obob2ob5obobo2bo3b2obo4b5ob3o4b
3obo2b4o4bo5bob2obobo5b3ob8o2b2o2b2obob2ob2obob2o2bobobobobobobo2bo$2b
ob3o5b2o7bobo4bo2b4ob2obo4b2o4bob5o4bo2b3o3bo2b2o4b4o4bobob3ob3ob2obo
2bo3b2o2b4ob5ob2o4bobobo3bo5bobo3b4o4bo4b4o3bo2b4obo6b4o2bo3b2o2b3obo
bobob2obo7bo2bo3bobob3obobo3bobobo2b3ob2obo2bobob4obobo2b2o2bo3b4obob
2ob2ob6obo4b3obo2b2obo3b3obobo2bob2ob2obo3b2obob2o3bo2bob2obo$2o3bo4b
7o2bob5o5bo2bobo2bo2b4obobobo2bo7bob2obob2o2bobob3o4bo3b4o5b4o2bob2ob
o2bob2o4bo2b2o3b2o2bob3ob2obob2o3bob3obobobobo4bo3b2obobob4ob4o2b3o4b
11o3b3ob2ob2obo2b2o2bo3bo2b2obob2obobo2bob4obobo2bob2ob3o2bob2o5b2obo
b3o6bo2bo2b2o3b2obob4obob2ob2ob2obobobo2bo2bo5b4ob2obo2b4obobobob2o$o
2bo2bobob4obo3b3o2bobob4o2bo2b3o2b5obobo5bob2o5bo5b3ob2o2bob2o2b4o3b2o
b2obob2o2bobo4b4ob2ob3ob2obobobob5obob2ob2obobo2bob2o2b2o4b2obo3bo3b2o
3b5o2b4o2bo2b3o2b3o3bobob4o6b2obo2b2obobo3bo5b4ob2o7b2ob3obo3bo2bobob
o2b2obo7b3obo2bobobo2b3o3bobo3b3ob2obo2b8obo2b2o4bobob2obob2o3b2obo2b
o$2b3o7b3o4b5obo4bob2o2b2obo7b3obobo4bo2bobob2o2b3o3bob3ob2o2b3ob5ob2o
b8ob2ob3obo2b2ob5o3b2o2b2o3b2o2b3ob2ob2obo2bo2bobo3b2o2b2o2bob2obob5o
2bo4bo2bobo2bo2b3o3b3obo2bobobobob2o2bob6ob2o2bo3b6o2bo2bobobo2bo2b4o
bobo2b4obobo4b2ob3ob3o10b4o5b3ob2o3bo2b2o4b3o2bob4obo3bob4obob3o$2b2o
bo2bo3b3ob3o2bob3o4bobo3bo3bo4b2o9bo4b2o5b3ob2o2bob2ob2o3bobobobobob2o
b2o3b2ob3o2b8o4b5obobo2b3o4bo2b2o2bobob4ob3o4bob3o4bo4b3o2bobo2b2o3b5o
6bo3b2ob4o2bob4obob3obo2bob4o4bo3bo3b2o3bo3b4ob3ob2obobob2obob13o3b10o
2b2ob4o2b2o4b3o2bobo4bo2bo2bo4b2obob2ob3o2bo$4bob6o3b7o4bob6ob2ob2o2b
ob4o2b5o3bob4ob2obo6b3obob3o5b4o2b2o2b2o2b2o3b2o2b2o2bob2ob4o3bob2o2b
3o5bobo2b6ob4o2bo7bo2bo2b2o2bo2b2ob3obo2bo3b2ob3obo3bo3b3ob3ob2o3bo2b
ob2o4bob3obo2bo3bob4o2bo2b3o3bo2bo3b3o2bob3ob2o2bob2o4b2o2bo2bo4b2o3b
ob3o2b5ob6o5b4o3bob5o3b5o3bo$2o2b2o2bo4b3ob2o3bo2bobob2o2b2ob2ob2o2bo
3b2o2bo2bob4obobob3obo8bo3b6obo2b2o2b2o3b3o3b2o8bob3obobob3o3bo2b3obo
b3o2b6o5b2o3bobo2b2o2bo2bob2obob2obob4o2bo3bob2obo3bobo4bob2obo2b3ob2o
bobobo5bob2o3bobo2b5obo3b3o3bo2b2obobo2b2ob3obo2b2o3bob4ob2o4b2obob2o
bob3obob2obob2o4b3o3bob2o2b8ob2obob2obo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 4th, 2025, 7:55 pm
by LuveelVoom
CARuler wrote: May 4th, 2025, 7:42 pm almost a ship

Code: Select all

x = 9, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
obobo2bo!
Here is a ship:

Code: Select all

 x = 11, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
bob3ob2o!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 4th, 2025, 8:24 pm
by CARuler
p1 ship

Code: Select all

x = 10, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
2ob4o2bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 4th, 2025, 10:11 pm
by confocaloid
A collision between three p9 orthogonal c/9 spaceships settles into a p2 oscillator:

Code: Select all

x = 114, y = 1, rule = R2,C0,S0-5,B2,4,N@07C000
2o4bob2o65b2ob3obo22b2ob2obobo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 5th, 2025, 12:45 am
by b-engine
Period 22 oscillator:

Code: Select all

x = 14, y = 1, rule = R2,C2,S0-5,B2,4,N@07c000
5o4b5o!
To clarify (for those who don't know), this is a 1D rule, with history displayed in another dimension. It's indeed an oscillator.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 5th, 2025, 1:05 am
by confocaloid
b-engine wrote: May 5th, 2025, 12:45 am Period 22 oscillator: [...]
For some more clarification, the specified cellular automaton uses the following neighbourhood:

Code: Select all

- - - - -
1 1 1 1 1
- - - - -
- - - - -
- - - - -

Code: Select all

x = 14, y = 1, rule = R2,C0,S0-5,B2,4,N@07C000
5o4b5o!
Removing all survival conditions gives a p22 spaceship in the cellular automaton R2,C0,S,B2,4,N@07C000, emulating a p22 oscillator in a certain range-2 one-dimensional outer-totalistic cellular automaton:

Code: Select all

x = 14, y = 1, rule = R2,C0,S,B2,4,N@07C000
5o4b5o!
Further, changing the neighbourhood as follows (and updating the birth conditions and the survival conditions accordingly) makes an actual p22 oscillator:

Code: Select all

- - - - -
- - - - -
1 1 - 1 1
- - - - -
- - - - -

Code: Select all

x = 95, y = 11, rule = R2,C0,S1,3,B2,4,N@003C00:T110,44
34b5o4b5o5$37b2o4bob2o5$ob4o3bo42b3o5b2obo18bo3bo3b2o2bo!

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 5th, 2025, 12:31 pm
by PiSpaceships
I changed the neighbourhood and now I have this rule:

Code: Select all

x = 82, y = 71, rule = R2,C2,S0-6,B2,NW0010011111000000000000000
2$7bob2o2bo4b3ob2o4b5o2bob2ob3o2b2o2bo2bobob2ob2o4bo$4bobo4bo2b4o6bob
ob7ob2ob2o3bo3bobob2ob4o4bo3bo$9b3o5bobobob2obob2o2b2obob5o3b2o2b6obo
3b2o2b4o$9b3obo3b2o2bob3o2b4obob2o7bob3o2b3o2bob4o2b4o$6b3o2bo3b3ob2o
4b2o2bob3obo3b6o3b2obobob5o4b4o$4b3o2bo2b4o9bob5ob2o4bo6bobo4b3ob3obo
4bo$6b2o2bo2b3o4b5o2b2obob3ob3o6b4o3bo2b2ob2o2b2o2bo$4b5o5bo4b3o2b5ob
2o2b2ob3ob3obob2ob2ob6obob5o$6bobo5b2ob4o2bo3bobo2bob4ob2o2bo3b4ob2ob
4ob2obob3o$6bo2b3o2bob2o3bob3ob2ob5o6bo3b3ob2ob9ob2o2bo$7b4o3b2obo2b2o
5b4ob4obo4b6o2b2o2bo7b2o2bo$4bobobo4b4obo2b6o2bo3b2o2bob5ob6o2bobob8o
b2o$4b2o2b6obo2b8o2b3ob3obob2o5bo2bobob6ob7o$4b6obo2bobo5b3obob2obobo
b2o2bo3bo3bob2o2bo4b2obobo2bo$4b2obo5bo2bo4bo2bo2b2ob2obo2bo4b4obob4o
2bobob6obo$5b2o3b3o2b4o3b6obo2bo2b2obo2b7o6b2o2bo3bob3o$4bobobo6b3o3b
o6bobob2obo3bob4ob3obobo2bo6b3o2bo$6b2obobo2bob3obobobob3o4b2obobo2bo
4bob2obobob3o2b4o2b2o$4bobobo3bobob2o2b2o2b2obobo2b2obobo2b8o2b2obo2b
3ob3obo2bo$4b3o2bo2bo4bo2bo2bobo2bo4b5ob2obo3bobob2o2b3obob2o3bobo$4b
2o4b2o2bo3bo2b2ob2ob2ob4obo2b2o3bobo7bo2b2obob2o2b3o$5bob3ob2o4bo2bo3b
o2bo8b2o4bo4b2obobo2b2obobo4b3o$4bo8b2o3bobob3o2b2obobo2bobo7b2o8bo3b
2obob2o$4b2o3b5obob2ob2obo2b2o5bo2bob3o4bob3o2b2ob3o2b3o2b3o$4bobob2o
2b5o2b3o2bo6bob2ob3o2b4o5b2o2b2ob2o2bo2b2obo$4bob5o5bob3obo2bob2o2b3o
b2ob3o2b2obob2o2bob2o4bob2obo$6b4o3bob5ob3o2bob4obo2b2ob2ob2o3b2obobo
3bob2obo3bobo$5bobo2b4o3bob5obob4obo2b4o5bo3b2obob2obo4b2ob4o$4b3obob
o3b2ob2o2bo2b2o4b2obobobobobobo4bob3o3bo6bobo$7bobo2b2o3bo2b2o3bobo2b
o5bo7bobobo2bo2bo2bob3obobobo$4b3o3b2ob2ob3o3bob2o2bobo4b2o3b4obo4bo2b
2obob6o$4b4obob2ob2obobo5bo2bobobobob2ob4ob3o2bob2obobob4obob3o$4b2ob
3obo3bob4o6bob2obob2o4bob2ob2o4b4o4b3obob2o$4b2o4b4o2bo2bobobob2o2bob
5obo2bo4b2ob2obo5b2o4bobobo$5b2ob2o3bob2o3b3o3b2obo2b2obobo2b2ob2o2bo
4bo2bobo2b3obo2bo$7b2o3bo2b2obo2b2o4bo2bobo2bo5b2o2bobo3bo2b2ob2o2b7o
$4b2ob3o2bobob2o3b3o3b5o2b2obobo2b2ob2ob2o2b3ob2ob2ob2ob3o$4bo2bobob2o
bo2b9o4bob3ob4o3b6ob2ob2ob2o9bo$5b9o2b3o2b2ob3o2b2obo3bobobobob2o2b2o
3bob8obo$7bob2o3bo2bo5bo2b2o2bob4obob3obobo2b2o2b6ob2o6bo$4bob4ob2ob3o
5bo3b3o2b3o5b2o2b4o2bob2obo4bobob2obo$7b5o3bob2o2b3o2bobo3bo3b2obo2b4o
2bo4b2ob2obobobob3o$4b2o2b2o7bo4b3ob3o2b2obob5obob3obob3obob4o4b4o$5b
2o2bo2b2obob2o2bobo2b5obo2b5o2bo2b2o3bo7b3ob2o3bo$5bob2o2bo3b2o4b3o2b
ob8o2b2obo2bo4b3o4bo2b3ob2o$4b2obo2b2obobo4bobo2b3o2bo2b2obobo2bo4bob
ob2o2bo5b2obob3o$4bo2b4o2bo2bo3bo2bo2bo4b2o2bob4obo2bo3bo2bo4b2obobo$
4bob3obobobo2b2ob2o4b2o4bo2bobo2bob2obo2b3o2b2o2bobob4o2bo$5bo2bobo3b
2ob2o2b2obo2bo2b2o2bobo2bo2b2o2bo2b2o4b2ob3o4b3o$6bob2obo2bo4bob2o2bo
2bobobo3bobob5obobo3b3ob3o2b3o3bo$6bo3bob3ob3o3b3o3b8o3b2o2b3o2b2ob4o
bo6b2o$4bo2bo2bobo2b2ob2o3bobo2bob2obo4b2o2b4o9bob2ob3obo$4b2ob2o2b2o
2b4obob7o2b3ob2o6bob2obo2b2obobob3ob3o$6b2obobob2o4b3obobobo2b2obo3b2o
b2o6b6o2bobob4o2b2o$5bobo2bobobob2ob2o2b3obo3b2o7bob2ob4o2bob4o3bobo3b
2o$9bo8b5obobo5bob3o2b2o2bo3b6o3bo3bob4o$4bobobo2bo4bo2bo2b2o4bo2bobo
bo2b5o3bo2b2o2b3o2b2o2b2o2b2o$4bob2ob2o2b2obobo2bo2b8o2bo2b3ob3obo3b3o
7b2o5b2o$4b2o3b5o2bob2obobobobo3bob2obo2bo3b3o2b2o2bob5o3b3o2bo$4b3o2b
2o2b8ob2o2bo2b3o5bob3ob3o6b3o2b2ob2ob5o$4bo2bobobo3b2ob2obob2o3bobo6b
2o3b3o3bob7ob5o2bobo$8b3o2b2o3bobo2bobo2b6o2b7o4b3obo3bo2b3o2bobobo$6b
obo4bo2bob5o4b2o2bo2bob3obobobo4bo2b2obob2o3bo3bo$4b2ob3ob5obob2obob4o
2bo2bob2o3b2ob2o2bo4b6o2b2o!
It uses the following neighborhood:

Code: Select all

- - 1 - -
1 1 1 1 1
- - - - -
- - - - -
- - - - -
It's very dynamic certainly not 1D rule, with many oscillators, spaceships and rakes. Small seeds often result in huge explosions. Random soups ultimately almost stabilize, with rare periodic spaceship-oscillator reactions slowly changing the final state.

edit: editted

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 5th, 2025, 12:45 pm
by PiSpaceships
A puffer:

Code: Select all

x = 20, y = 17, rule = 1e2-e3-q/2-a345a/10
$11.HC$10.ACIDA$5.I3.3AG3A$4.HG4.ACECA$4.FE4.ABCA.I$4.DC6.2AHG$2.HIBA
6.IAFE$2.FGA5.IHGADC$2.DEAHI.IHGFEABA$2.BCAFGHGFEDC2A$2.3ADEFEDCBA$4.
ABCDCBA$6.ABA!
Remove -q and we get an explosive rule.

Re: Miscellaneous Discoveries in Other Cellular Automata

Posted: May 5th, 2025, 1:19 pm
by confocaloid
Linear growth

Code: Select all

x = 25, y = 16, rule = 1e2-e3-q/2-a345a/10
21.HI$22.DE$20.HIFBC$20.I2FDA$19.IHFBCA$17.IHGFEC2A$2.IH11.IHGFEDCBA$
2.GF9.IHGFEDCBA$2.ED7.IHGFEDCBA$I.CB5.IHGFEDCBA$GH2A3.IHGFEDCBA$EFAI.
IHGFEDCBA$CDAGHGFEDCBA$ABAEFEDCBA$.2ACDCBA$3.ABA!
PiSpaceships wrote: May 5th, 2025, 12:45 pm [...] 1e2-e3-q/2-a345a/10 [...][...] Remove -q and we get an explosive rule.
Replace /10 by /7 and removing -q will be unnecessary:

Code: Select all

#C [[ RANDOMIZE2 RANDWIDTH 80 RANDHEIGHT 60 RANDFILL 25 RANDSEED 1729 ]]
x = 1, y = 1, rule = 1e2-e3-q/2-a345a/7
b!
Such "syntactic" tweaks can be highly misleading. Just because a certain tweak appears to be minor on a surface level, doesn't tell much about the effects or consequences of the tweak.

In this case,
  • the syntactic "replace /10 by /7" means changing the number of cellstates (from 10 down to 7),
  • the syntactic "remove -q" means adding a survival condition (the added survival condition is S3q), or equivalently replacing the death rule D3q by the survival rule S3q.
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