One-cell growth per generation

islptng · Post by **islptng** » November 15th, 2024, 8:34 am

ColorfulGalaxy posted this somewhere. I copied that and reposted here.

#C Simple period-15 one cell per generation linear growth pattern assembled to celebrate the rule discoverer's birthday.
#C This rule is non-isotropic and thus the pattern can not be rotated.
x = 44, y = 10, rule = Printer2
39.E2.E$36.H6.B$E2.E2.E2.E2.E2.E2.E2.E2.E2.E2.EN.G6.B$28.C8.B4.I$25.C
8.B4.K3.C$22.C4.I2.PB.P2.L$A2.A2.A2.A2.A2.A2.AC.A2.J2.AB.A2.A2.A2.A2.
A$12.I2.PC.P2.L$9.K3.C$I2.P2.L!
@RULE Printer2
@COLORS
0 0 0 0
1 255 255 0
2 255 128 0
3 0 145 255
4 128 128 128
5 37 89 44
6 122 140 58
7 64 128 100
8 6 120 0
9 93 0 255
10 212 0 255
11 0 0 138
12 162 0 255
13 74 69 64
14 61 66 71
15 100 90 117
16 48 48 48
@TABLE
n_states:17
neighborhood:vonNeumann
symmetries:none
0,0,0,2,0,2
0,0,1,2,0,2
0,0,0,2,1,2
0,0,1,2,1,2
2,0,0,0,0,0
2,0,1,0,0,0
2,0,0,0,1,0
2,0,1,0,1,0
0,0,0,3,0,3
0,0,1,3,0,3
0,0,0,3,1,3
0,0,1,3,1,3
3,0,0,0,0,0
3,0,1,0,0,0
3,0,0,0,1,0
3,0,1,0,1,0
4,0,0,0,0,0
4,0,1,0,0,0
4,0,0,0,1,0
4,0,1,0,1,0
0,0,5,2,5,13
0,0,5,2,0,13
0,0,5,3,5,14
0,0,5,3,0,14
0,4,9,0,9,15
0,4,0,0,9,15
0,0,10,0,10,2
0,0,11,0,10,2
0,0,10,0,11,3
0,0,11,0,11,3
0,0,0,0,10,2
0,0,0,0,11,3
0,0,9,2,9,2
0,0,9,2,0,2
0,0,9,3,9,3
0,0,9,3,0,3
2,0,9,0,9,0
2,0,9,0,0,0
3,0,9,0,9,0
3,0,9,0,0,0
6,0,0,0,0,1
7,0,0,0,0,0
0,0,0,6,0,8
0,0,0,7,0,8
8,0,0,0,0,0
8,0,0,1,0,0
0,0,0,8,0,5
5,0,13,0,13,6
5,0,14,0,13,7
5,0,13,0,14,6
5,0,14,0,14,7
5,0,13,0,0,6
5,0,14,0,0,7
9,0,15,0,15,12
9,1,15,0,15,12
9,0,0,0,15,12
9,1,0,0,15,12
13,0,5,0,5,0
13,0,0,0,5,0
14,0,5,0,5,0
14,0,0,0,5,0
15,0,9,0,9,0
15,0,9,0,0,0
0,0,0,12,0,11
1,0,0,12,0,10
11,0,0,0,0,0
10,0,0,0,0,1
0,0,0,11,0,9
0,1,0,11,0,9
0,0,0,10,0,9
0,1,0,10,0,9
12,0,0,0,0,0
12,1,0,0,0,0
9,0,15,1,15,12
9,1,15,1,15,12
9,0,0,1,15,12
9,1,0,1,15,12
0,0,0,2,9,2
0,0,0,3,9,3
2,0,0,0,9,0
3,0,0,0,9,0
0,0,0,2,5,13
0,0,0,3,5,14
12,1,0,1,0,0
0,4,9,0,0,15
12,0,0,0,0,0
12,1,0,0,0,0
12,0,0,1,0,0
9,0,0,0,0,16
9,1,0,0,0,16
9,0,0,1,0,16
9,1,0,1,0,16
16,0,0,0,0,12
16,1,0,0,0,12
16,0,0,1,0,12
16,1,0,1,0,12
2,0,16,0,0,0
2,0,0,0,16,0
2,0,16,0,16,0
3,0,16,0,0,0
3,0,0,0,16,0
3,0,16,0,16,0

wait isn't this CARuler's rule?

Citation needed · Post by **Citation needed** » December 9th, 2024, 11:00 am

Code: Select all

#C Sticky 1CPG, with the additional feature that the tick number is equal to the population starting from generation 10
#C Reduced from previously-posted 12-cell pattern
x = 12, y = 4, rule = Sticky
3A$3.A$A9.CB$.3A!
[[ LABEL 0 9 8 "#I #P" ]]

Code: Select all

#C GeminoidUniv 1CPG, with the additional feature that the tick number is equal to the population starting from generation 10
x = 12, y = 4, rule = GeminoidUniv
3E$3.E$E9.AD$.3E!
[[ LABEL 0 9 8 "#I #P" ]]

Code: Select all

#C All non-zero cells are counted.
x = 8, y = 7, rule = FreeElectronics
2.C$2.C$C2.B.2C$4.A$2C5.C$4.C$2.C.C.C!

Code: Select all

#C All non-zero cells are counted.
x = 8, y = 7, rule = FreeElectronicsX
2.C$2.C$C2.B.2C$4.A$2C5.C$4.C$2.C.C.C!

Code: Select all

#C p5 based on wickstretcher
x = 5, y = 19, rule = Ships
.D.C$2.BA$2D2$.D2.C$2.AB$2D2$.D2.C$.AB$2D2$2.E.C$.BA$2DE2$2.D.C$2.BA$3D!

Code: Select all

#C Smaller two-barrel gun-based pattern.
#C ColorfulGalaxy spotted the period-4 gun. At first, he placed two of them side by side, but found that the result was one cell bigger than the wickstretcher-based pattern.
#C He then tried to merge two guns together and reduced the size by two.
#C Then he suddenly found out that he can simply make a two-barrel gun, pushing the size down to 17.
x = 5, y = 5, rule = Ships
A$B.AB$A3DB$B3DA$.BA.B!

Code: Select all

x = 3, y = 17, rule = TernaryJvN60
GJ$LpSG2$KJ$HpSG2$GN$HpSG2$GJ$HpTG2$GJ$HpVG2$GJ$LpSK!

Code: Select all

#C Determination 19P4H4V0A4
#C The domino puffer grows by 1 cell per generation, yet needs an odd-population on-off to smooth the population graph. No such oscillator could be found.
#C Instead, he uses two copies of a duoplet puffer, and finally merged them into one, which is glide-symmetric.
x = 12, y = 10, rule = B2a3i/S12
5b2o$5b2o$4bo2bo2$b2o6b2o$o10bo$3bo4bo$o8bobo$3bo$2bo!

Code: Select all

#C 5×5P5H1V0A1 based on p5 non-monotonic wickstretcher in CARuler's rule
x = 23, y = 5, rule = OJMOOJ
.B3.EDE3.D3.E.E3.C$A.A3.G3.G.G3.G3.ABA$.G4.G4.G4.G4.G$.G4.G4.G4.G4.G$
11.G!
@RULE OJMOOJ
@COLORS
0   0   0   0
1 255   0   0
2 255 255   0
3   0 255   0
4   0 255 255
5   0   0 255
6 255   0 255
7 255 255 255
@TABLE
n_states:8
neighborhood:Moore
symmetries:rotate4reflect
var a = {0,1,2,3,4,5,6,7}
var b = a
var c = a
var d = a
var e = a
var f = a
var g = a
var h = a
1,0,1,0,1,0,0,0,0,1
0,1,0,1,0,0,0,0,0,2
1,1,0,0,1,0,0,0,0,1
0,0,2,1,2,0,0,0,0,1
2,1,0,1,0,0,0,0,0,1
1,2,1,0,0,0,0,0,0,1
0,0,2,1,2,0,2,1,2,3
0,3,0,1,1,0,1,1,0,1
0,1,0,3,0,1,0,0,0,3
0,3,0,0,0,0,0,0,0,2
0,3,0,1,0,0,0,0,0,1
1,0,3,0,3,0,0,0,0,1
2,0,1,0,1,0,0,0,0,4
0,2,0,1,0,0,0,0,0,5
1,1,0,0,2,0,0,0,0,1
0,0,5,4,5,0,0,0,0,4
1,5,4,0,0,0,0,0,0,1
5,4,0,1,0,0,0,0,0,1
1,1,0,0,4,0,0,0,0,5
4,0,1,0,1,0,0,0,0,4
0,4,0,1,1,0,1,1,0,6
0,4,0,1,0,0,0,0,0,3
6,5,3,4,3,5,0,0,0,5
4,3,5,6,5,3,0,0,0,5
0,0,3,4,3,0,0,0,0,5
5,6,4,3,0,0,0,0,0,3
0,3,4,0,0,0,0,0,0,3
3,4,6,5,0,0,0,0,0,3
0,3,3,0,0,0,0,0,0,2
0,0,3,3,3,0,0,0,0,2
3,3,5,5,0,0,0,0,0,5
3,3,5,5,5,3,0,0,0,5
0,2,2,0,0,0,0,0,0,4
0,0,2,2,2,0,0,0,0,4
2,2,5,5,0,0,0,0,0,5
2,2,5,5,5,2,0,0,0,5
0,0,4,4,4,0,0,0,0,4
4,4,5,5,0,0,0,0,0,5
5,0,4,0,0,0,0,0,0,5
4,0,5,0,5,0,0,0,0,4
0,5,0,4,0,0,0,0,0,1
0,1,4,0,0,0,0,0,0,1
1,5,0,4,0,0,0,0,0,1
0,5,1,4,1,5,0,0,0,1
0,6,0,0,0,0,0,0,0,6
6,4,0,0,0,0,0,0,0,4
6,0,0,0,0,0,0,0,0,4
6,0,6,4,6,0,0,0,0,4
6,4,6,0,0,0,0,0,0,4
6,0,6,0,0,0,0,0,0,4
6,0,6,0,0,0,6,0,0,4
0,3,0,2,0,0,0,0,0,4
2,0,4,0,4,0,0,0,0,2
0,4,0,2,0,0,0,0,0,4
4,2,0,0,0,0,0,0,0,2
0,0,4,2,4,0,0,0,0,3
0,4,0,4,2,0,0,0,0,6
4,2,0,0,4,0,0,0,0,4
0,3,0,4,6,0,0,0,0,6
4,6,4,6,3,0,3,0,0,4
0,6,0,0,0,4,0,0,0,6
0,6,0,0,3,0,0,0,0,6
0,4,0,4,6,0,0,0,0,4
0,0,4,6,4,0,0,0,0,6
6,4,0,0,4,0,0,0,0,4
4,0,6,0,2,0,0,0,0,6
6,0,4,4,0,0,0,0,0,4
4,4,6,0,0,0,0,0,0,4
0,2,0,4,0,6,4,0,0,4
6,0,4,4,2,0,0,0,0,4
0,6,0,3,0,2,0,0,0,6
6,4,0,0,3,0,0,0,0,4
0,0,4,2,4,0,6,0,6,6
0,6,0,2,0,3,0,2,0,5
0,5,0,4,0,2,0,4,0,5
0,4,0,4,0,0,3,0,0,3
4,0,4,0,3,0,0,0,0,3
0,4,2,0,0,6,0,0,0,6
0,3,0,2,6,6,6,2,0,5
2,6,0,0,3,0,0,0,0,5
4,3,0,0,4,0,0,0,0,7
7,4,0,0,3,0,0,0,0,7
0,7,4,0,4,7,0,0,0,1
0,0,7,1,7,0,4,0,4,2
0,7,1,0,0,4,0,0,0,4
0,0,6,1,6,0,0,0,0,3
0,6,1,0,0,0,0,0,0,3
2,0,2,0,2,0,0,0,0,2
0,2,0,2,0,0,0,0,0,5
5,2,0,2,0,0,0,0,0,5
2,5,2,0,2,5,0,0,0,2
0,2,5,2,5,2,5,2,5,1
1,2,5,2,5,2,5,2,5,1
2,5,2,1,2,5,0,0,0,1
5,2,1,2,0,0,0,0,0,6
2,4,0,5,0,4,0,0,0,5
0,0,3,3,3,0,2,2,2,2
0,3,3,0,2,2,0,0,0,4
0,0,5,2,5,0,2,0,2,3
0,3,0,0,5,2,5,0,0,3
0,3,2,5,0,0,0,0,0,4
1,3,0,6,1,1,1,6,0,7
7,0,0,0,0,0,0,0,0,7
0,0,3,3,3,0,7,0,0,2
0,0,1,1,1,0,4,0,4,6
0,1,1,0,0,4,0,0,0,5
5,2,7,0,0,0,0,0,0,7
0,7,0,2,0,2,0,2,0,7
7,0,5,2,5,0,0,0,0,7
0,7,2,5,0,0,0,0,0,4
0,4,0,0,7,0,7,0,0,2
7,4,7,0,0,0,0,0,0,2
7,4,7,0,7,4,0,0,0,2
0,7,0,0,4,0,0,0,0,5
4,7,0,7,0,0,0,0,0,5
5,6,0,0,0,0,0,0,0,7
0,0,5,6,5,0,0,0,0,7
3,3,5,5,7,0,0,0,0,5
7,0,7,0,7,0,0,0,0,7
7,2,0,0,7,0,7,0,0,7
0,7,0,7,0,7,0,7,0,3
7,0,7,3,7,0,0,0,0,2
1,0,2,0,2,0,2,0,2,7
0,2,0,1,0,2,0,0,0,3
0,3,7,3,0,0,0,0,0,7
2,0,7,0,7,0,0,0,0,2
0,2,0,7,0,0,0,0,0,6
2,6,0,0,0,6,0,0,0,2
6,2,0,0,6,0,0,0,0,6
0,0,6,2,6,0,0,0,0,5
0,6,2,0,0,0,0,0,0,3
2,6,0,5,0,6,0,0,0,2
6,2,5,0,6,0,0,0,0,6
0,0,3,5,3,0,0,0,0,1
3,5,2,6,0,0,0,0,0,1
6,2,5,3,0,0,6,0,5,1
0,5,0,5,0,5,0,5,0,3
1,2,1,0,0,1,0,0,0,1
1,1,0,1,0,0,0,0,0,7
0,0,7,0,7,0,7,0,7,5
0,5,0,0,6,2,6,0,0,5
5,0,7,0,7,0,7,0,7,4
7,0,5,0,0,0,0,0,0,7
0,7,0,4,0,7,0,0,0,6
4,0,7,0,7,0,7,0,7,2
6,0,6,2,6,0,0,0,0,4
2,6,0,6,0,6,0,6,0,7
4,6,0,0,4,7,4,0,0,6
0,0,4,6,0,6,4,0,0,2
0,6,0,6,0,6,0,6,0,1
7,7,0,0,0,0,0,0,0,7
7,7,0,0,0,7,0,0,0,7
7,7,0,0,5,0,5,0,0,2
0,5,0,7,0,5,0,0,0,3
0,5,0,7,7,0,0,0,0,1
7,7,0,0,1,2,1,0,0,7
2,3,0,1,0,7,0,1,0,7
0,3,2,1,0,0,0,0,0,1
7,7,0,0,1,0,1,0,0,7
0,2,0,1,0,7,0,1,0,7
7,7,0,0,5,4,5,0,0,7
5,4,7,0,0,0,0,0,0,7
7,7,0,0,7,0,7,0,0,7
7,0,4,0,7,0,0,0,0,5
0,7,0,0,5,4,5,0,0,2
7,0,2,0,7,0,0,0,0,1
0,2,0,7,0,7,0,7,0,4
7,7,0,0,0,2,0,0,0,1
7,7,0,0,1,4,1,0,0,4
0,1,4,7,7,0,0,0,0,1
7,0,1,4,1,0,0,0,0,7
0,7,4,1,0,0,0,0,0,7
7,1,0,0,0,7,0,0,0,5
#defaults
1,a,b,c,d,e,f,g,h,0
2,a,b,c,d,e,f,g,h,0
3,a,b,c,d,e,f,g,h,0
4,a,b,c,d,e,f,g,h,0
5,a,b,c,d,e,f,g,h,0
6,a,b,c,d,e,f,g,h,0
7,a,b,c,d,e,f,g,h,0

confocaloid · Post by **confocaloid** » December 28th, 2024, 5:55 am

confocaloid wrote: ↑
October 27th, 2024, 5:07 pm
[...] In a 2D two-state isotropic CA on the square tiling, or on the hexagonal tiling, X = 2 is impossible, because every two-bit pattern remains unchanged when rotated 180 degrees, and therefore any growing pattern of this kind will necessarily grow in at least two directions at once, contradicting "one bit per tick". [...]

Actually, the above is incorrect. As long as alive cells can die, there is no claimed contradiction at the end; "one bit per tick" population growth can grow in two opposite directions at once.

Here is a simple example, beginning with only two alive cells, in a two-dimensional two-state isotropic CA on the square tiling:

Code: Select all

x = 3, y = 1, rule = R3,C0,S,B2-4,N+
obo!
#C [[ THEME LifeHistory GRID ZOOM 16 ]]

confocaloid wrote: ↑
October 27th, 2024, 5:07 pm
[...]
In a 2D two-state isotropic CA on the triangular tiling, there might be some way to have X = 2, because there exist asymmetric two-bit patterns on the triangular tiling:
Code: Select all
x = 12, y = 6, rule = //3L
2.B7.B$.A9.B$6.A3$5.B.B!
#C [[ GRID VIEWONLY ]]
[...]

Here is a proof-of-concept "one birth per tick, zero deaths per tick" population growth, beginning with only two alive cells, in a two-dimensional two-state isotropic CA on the triangular tiling:

Code: Select all

x = 6, y = 2, rule = R10,C0,S0-12,B2,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
o$5bo!
#C [[ THEME Caterer GRID ZOOM 6 ]]

Six instances in a single pattern, all orientations:

Code: Select all

x = 56, y = 28, rule = R10,C0,S0-12,B2,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
16bo23bo3$17bo21bo11$6bo43bo$bo53bo10$17bo21bo2$13bo29bo!
#C [[ THEME Caterer GRID ZOOM 6 ]]

Mirrored vertically:

Code: Select all

x = 56, y = 28, rule = R10,C0,S0-12,B2,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
13bo29bo2$17bo21bo10$bo53bo$6bo43bo11$17bo21bo3$16bo23bo!
#C [[ THEME Caterer GRID ZOOM 6 ]]

Without the survival condition S0 ("currently alive without alive neighbours"), these become two-bit spaceships instead:

Code: Select all

x = 56, y = 28, rule = R10,C0,S1-12,B2,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
16bo23bo3$17bo21bo11$6bo43bo$bo53bo10$17bo21bo2$13bo29bo!
#C [[ THEME Catagolue GRID ZOOM 6 ]]

Code: Select all

x = 56, y = 28, rule = R10,C0,S1-12,B2,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
13bo29bo2$17bo21bo10$bo53bo$6bo43bo11$17bo21bo3$16bo23bo!
#C [[ THEME Catagolue GRID ZOOM 6 ]]

Here are the cells whose neighbourhood includes a given cell:

Code: Select all

x = 27, y = 11, rule = R10,C0,S,B1,NW000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001000000000000000100000000000000000000000100000100000001000001000001000000000100000000000000000000000000000000000000000000000000000000000000000000000000000101000000000000000000000000000000000000000000000000000000000001000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000L
$o9$26bo!
#C [[ THEME Generations GRID ZOOM 8 STARTFROM 1 ]]

edit: fixed the neighbourhoods (the middle cell should be zero-weight in this case) and related off-by-one errors.

Citation needed · Post by **Citation needed** » March 4th, 2025, 11:59 pm

Here is one in a new rule.

Code: Select all

x = 5, y = 4, rule = ChainedLife0
2.DC$2.DAC$A.A2D$2A!

Here is another one in TGeometry.

Code: Select all

x = 86, y = 21, rule = TGeometry
16.BA17.BA17.BA$15.B18.B18.B$14.B2.A15.B2.A15.B2.A5.A5.A5.A5.A5.A$13.
B.B.2A13.B.B.2A13.B.B.2A2.2A4.2A4.2A4.2A4.2A$12.B2.B2.A12.B.B3.A12.B5.
A4.A5.A5.A5.A5.A$11.B3.B14.B.B16.B.B$10.B18.B2.B15.B.B2.B$9.B.B2.B13.
B18.B.B$8.B.B2.B13.B18.B2.B$7.B.2B15.B.B.B2.B11.B3.2B$6.B2.B15.B.B3.2B
11.B$5.B.3B14.B.B16.B.B$4.B.2B15.B.B16.B.B4.B$3.B.B16.B.B16.B.B.B2.B$
2.B18.B18.B5.B$.B4.B13.B3.B14.B$5.B14.B4.B14.2B3.B$B3.B15.2B3.B14.B3.
B$23.B.B$2.B20.3B19.B$45.B!

Here is another one in "Cataflakes".

Code: Select all

x = 137, y = 20, rule = B2i3aei4z5e6c8/S1e2-ak3aijy4eiw5er
3b3o9b3o9b3o9b3o9b3o9b3o9b3o6bo2bo2bobobo2bo2bobo2bo2bo7bo5bo5bo5bo$84b
2obob2obob2obob2obo2bo2bobo5b2o4b2o4b2o4b2o$4bo11bo11bo11bo11bo11bo11b
o8bobobo2bo2bobobo2bo5bobo2bo3b2o4b2o4b2o4b2o$87bo8b3o11bo2bo$4bo11bo
11bo11bo11bo11bo11bo10bo4bo4bo$bo2bo2bo5bo2bo2bo5bo2bo2bo5bo2bo2bo5bo
2bo2bo5bo2bo2bo5bo2bo2bo6bobo2bobo2bobo$3obob3o3b3obob3o3b3obob3o3b3o
bob3o3b3obob3o3b3obob3o3b3obob3o6bo4bo4bo$4bo11bo11bo11bo11bo11bo11bo
10bo8b3o$4bo11bo22b3o10bo22b3o7bobobo2bo2bobobo2bo2bo$4bo22b3o10bo35b
o7b2obob2obob2obob2obob2o$15bobo22bo11bo11bo19bo2bo2bobobo2bo2bobobo$
39b3o9b3o10bo11bo14b3o8bo$16bo22b3o10bo22bobo14bo4bo4bo$39b3o22bo9bo3b
o12bobo2bobo2bobo$92bo4bo4bo$63b3o9b3o13b3o8bo$87bo2bobobo2bo2bobobo$
76bo7bo2bob2obob2obob2obob2o$84bo2bobo2bo2bobobo2bo2bo$75b3o!

EDIT:

Code: Select all

#C PrintLife
#C This actually doesn't use the "Print" feature.
x = 5, y = 5, rule = PrintLife2
3.D$D2.E$3.F$4.D$.D!

Due to a recent change to the "Gooey" rule table, the pattern consisting of a photon with a stable cell attached behind it now no longer exhibit infinite growth. We are sorry for the inconvenience.

hotcrystal0 · Post by **hotcrystal0** » March 6th, 2025, 5:56 pm

I’m currently attempting one in B34k/S23.
This grows 3 cells every 3 generations, but is not one-per-generation:

Code: Select all

x = 26, y = 56, rule = B34k/S23
18bo$11b2o4bo5bo$2b2o7b2o4b2o$bob2o15bo3b2o$2o3b2o14bo3bo$b2o3b2o3bo10b
o2bo$2bo6bo3bo8b3o$14bo$9bo4bo$2bo7b5o7b3o$b2o3b2o14bo2bo$2o3b2o14bo3b
o$bob2o6b2o7bo3b2o$2b2o6bo6b2o$11b2o4bo5bo$18bo5$19b2o$17b2ob2o$5b3o5b
o3b4o$2bo2b3o3b2obo3b2o$2bobo6bo3bo$2bo2b3o3b2obo3b2o$5b3o5bo3b4o$17b
2ob2o$19b2o$12bo$10bo3bo$3b2o10bo$3b2o5bo4bo$5b2o4b5o$5b2o4$5b2o8b2o$
6b2o8b2o$3bo2bobo4bo2bobo$3b3obobo3b3obobo$4bobo2bo4bobo2bo$5bo3b2o4b
o3b2o$6b3o7b3o$8bo9bo3$5b2o8b2o$6b2o8b2o$3bo2bobo4bo2bobo$3b3obobo3b3o
bobo$4bobo2bo4bobo2bo$5bo3b2o4bo3b2o$6b3o7b3o$8bo9bo!

Edit: Using a different design, this almost works:

Code: Select all

x = 39, y = 58, rule = B34k/S23
25b2o$25b2o5b2o$12b3o16b2obo$11b5o13b2o3b2o$10b2ob3o5bo6b2o3b2o$11b2o
6bo3bo9bo$24bo$19bo4bo$20b5o8bo$28b2o3b2o$7bo6b2o13b2o3b2o$5b3o6b2o15b
2obo$4bo2bo17b2o5b2o$3b2ob3o16b2o$4b2o2bo$5b4o5b5o$14bo4bo11b2o$14bo8b
2o5b5o$5b4o6bo3bo3b2o4b2ob4o$4b2o2bo8bo15b2obo$3b2ob3o27b2o$4bo2bo15b
o10b3o$5b3o6b2o5bo3bo9bo$7bo6b2o10bo$21bo4bo$22b5o8bo$34b3o$15bo2bo17b
2o$14bo8b2o8b2obo$14bo3bo3bo6b2ob4o$14b4o5b2o5b5o$31b2o2$18bo15b3o$10b
2obobobobo2b2o9b5o$6b2obo2bo2bo7bo9b3ob2o$4bo2bob5o4b2obo14b2o$4b2obo
2b2o9b2o$7bo$7b2o$b3o10bobo10b3o$2b2o6bo3bobo3bo6b2o$o2b2o2bo6bobo6bo
2b2o2bo$2o3bobobob3o3b3obobobo3b2o$5bo19bo2$5bo19bo$2o3bobobob3o3b3ob
obobo3b2o$o2b2o2bo6bobo6bo2b2o2bo$2b2o6bo3bobo3bo6b2o$b3o10bobo10b3o$
22b2o$23bo$8b3o10bobob2o$9b2o6bo3bobo2bo$7bo2b2o2bo6bob2o$7b2o3bobobo
b3o$12bo!

Edit 2: Working one-per-generation in B34k/S23 (might have more optimization):

Code: Select all

x = 49, y = 61, rule = B34k/S23
25b2o$25b2o5b2o$12b3o16b2obo$11b5o13b2o3b2o$10b2ob3o5bo6b2o3b2o$11b2o
6bo3bo9bo$24bo$19bo4bo$20b5o8bo$28b2o3b2o$7bo6b2o13b2o3b2o$5b3o6b2o15b
2obo$4bo2bo17b2o5b2o$3b2ob3o16b2o$4b2o2bo$5b4o5b5o$14bo4bo11b2o$14bo8b
2o5b5o$5b4o6bo3bo3b2o4b2ob4o$4b2o2bo8bo15b2obo$3b2ob3o27b2o$4bo2bo15b
o10b3o$5b3o6b2o5bo3bo9bo$7bo6b2o10bo$21bo4bo$22b5o8bo$34b3o$15bo2bo17b
2o$14bo8b2o8b2obo$14bo3bo3bo6b2ob4o$14b4o5b2o5b5o$31b2o2$18bo15b3o$10b
2obobobobo2b2o9b5o$6b2obo2bo2bo7bo9b3ob2o$4bo2bob5o4b2obo14b2o$4b2obo
2b2o9b2o$7bo$7b2o$b3o10bobo10b3o15bo$2b2o6bo3bobo3bo6b2o14b3o$o2b2o2b
o6bobo6bo2b2o2bo11bo$2o3bobobob3o3b3obobobo3b2o11b2o$5bo19bo10b3o$36b
6o$5bo19bo13b2obo$2o3bobobob3o3b3obobobo3b2o10bobo$o2b2o2bo6bobo6bo2b
2o2bo12bo$2b2o6bo3bobo3bo6b2o4b2o8b2o$b3o10bobo10b3o4bo$22b2o10bob2o3b
4o$23bo11bo2bobo4bob2o$8b3o10bobob2o11bobo2bobobo$9b2o6bo3bobo2bo8bo2b
obo4bo2bo$7bo2b2o2bo6bob2o9bob2o3b4o2b2o$7b2o3bobobob3o13bo$12bo20b2o
6b2o$41b2o$39b2o$39b2o!

Edit 3: Population slightly reduced with welds:

Code: Select all

x = 40, y = 79, rule = B34k/S23
25b2o$25b2o5b2o$12b3o16b2obo$11b5o13b2o3b2o$10b2ob3o5bo6b2o3b2o$11b2o
6bo3bo9bo$24bo$19bo4bo$20b5o8bo$28b2o3b2o$7bo6b2o13b2o3b2o$5b3o6b2o15b
2obo$4bo2bo17b2o5b2o$3b2ob3o16b2o$4b2o2bo$5b4o5b5o$14bo4bo11b2o$14bo8b
2o5b5o$5b4o6bo3bo3b2o4b2ob4o$4b2o2bo8bo15b2obo$3b2ob3o27b2o$4bo2bo15b
o10b3o$5b3o6b2o5bo3bo9bo$7bo6b2o10bo$21bo4bo$22b5o8bo$34b3o$15bo2bo17b
2o$14bo8b2o8b2obo$14bo3bo3bo6b2ob4o$14b4o5b2o5b5o$31b2o2$34b3o$33b5o$
33b3ob2o$36b2o4$b3o10bobo10b3o$2b2o6bo3bobo3bo6b2o7b2o$o2b2o2bo6bobo6b
o2b2o2bo3bo2bo$2o3bobobob3o3b3obobobo3b2o3b2o$5bo19bo$35bobo$5bo19bo9b
o2bo$2o3bobobob3o3b3obobobo3b2o6bo$o2b2o2bo6bobo6bo2b2o2bo$2b2o6bo3bo
bo3bo6b2o7b2o$b3o10bobo10b3o$35bobo$35b2o$34b2obo$34b2obo$35b2o$32bo$
14bo17b5o$9b2o3bobobob3o14bo$9bo2b2o2bo6bob2o7b3o$11b2o6bo3bobo7bo$10b
3o10bobo7b2o$25bob3o$24b2ob6o$30b2obo$32bobo$34bo$24b2o8b2o$25bo$25bo
b2o3b4o$26bo2bobo4bob2o$29bobo2bobobo$26bo2bobo4bo2bo$25bob2o3b4o2b2o
$25bo$24b2o6b2o$32b2o$30b2o$30b2o!

Edit 4: Here’s one in Seeds, based on duoplet puffers and anchors:

Code: Select all

x = 22, y = 14, rule = B2/S
16bobo$bo4bo7bo4bo$o6bo5bo3bo3bo$3o2b3o8bo4bo$o6bo5bobo4bo$bo4bo3$bo4b
o$o6bo7bo4bo$3o2b3o8bo4bo$o6bo9bo3bo$bo4bo12bo$18bo!

Citation needed · Post by **Citation needed** » March 7th, 2025, 5:54 am

Code: Select all

#C Honeybomb variant
x = 367, y = 142, rule = B2i3/S23-c
5bobo10bobo10bobo10bobo10bobo10bobo10bobo10bobo10bobo10bobo$3b3ob3o6b
3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$2bo3bo3b
o4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3b
o3bo4bo3bo3bo$bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2b
obobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobob
o2bo$bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo
2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo$2o9b
4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b2o$2b3o3b3o4b3o3b3o4b3o3b3o4b3o3b
3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o$2o9b4o9b4o9b4o9b4o
9b4o9b4o9b4o9b4o9b4o9b2o$bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2o
bob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2o
bo2bob2obob2obo$bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2b
o2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bo
bobo2bo$2bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3b
o4bo3bo3bo4bo3bo3bo4bo3bo3bo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob
3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$5bobo10bobo10bobo10bobo10bobo10bobo10b
obo10bobo10bobo10bobo$5bobo10bobo10bobo10bobo10bobo10bobo10bobo10bobo
10bobo10bobo10bobo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b
3ob3o6b3ob3o6b3ob3o6b3ob3o$2bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo
3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo$bo2bo3bo2bo
2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo
2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo$bob2obob2obo2bob2o
bob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2o
bo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo$2o4bo4b4o4bo4b
4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b2o$2bo
b2ob2obo4bob2ob2obo4bob2ob2obo4bob2ob2obo4bob2ob2obo4bob2ob2obo4bob2o
b2obo4bob2ob2obo4bob2ob2obo4bob2ob2obo4bob2ob2obo$2o4bo4b4o4bo4b4o4bo
4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b4o4bo4b2o$bob2obob
2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo
2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo$bo2b
o3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2b
o2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo2bo2bo3bo2bo$2bo3bo3bo4b
o3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3b
o4bo3bo3bo4bo3bo3bo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o
6b3ob3o6b3ob3o6b3ob3o6b3ob3o$5bobo10bobo10bobo10bobo10bobo10bobo10bob
o10bobo10bobo10bobo10bobo$5bobo10bobo10bobo10bobo10bobo10bobo10bobo10b
obo10bobo10bobo10bobo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob
3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$2bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4b
o3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo$bo2bobo
bo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2b
o2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo$bo
b2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo
2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo$2o3bobo3b
4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bob
o3b4o3bobo3b4o3bobo3b2o$2b2o5b2o4b2o5b2o4b2o5b2o4b2o5b2o4b2o5b2o4b2o5b
2o4b2o5b2o4b2o5b2o4b2o5b2o4b2o5b2o4b2o5b2o$2o3bobo3b4o3bobo3b4o3bobo3b
4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bobo3b4o3bob
o3b2o$bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob
2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo2bob2o3b2obo$
bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2b
obobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobob
o2bo$2bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4b
o3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o
6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$5bobo10bobo10bobo10bobo10b
obo10bobo10bobo10bobo10bobo10bobo10bobo$5bobo10bobo10bobo10bobo10bobo
10bobo10bobo10bobo10bobo10bobo10bobo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3o
b3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$2bo3bo3bo4bo3bo3bo4bo3b
o3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4b
o3bo3bo$bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo
2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2b
o2bobobo2bo$bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2o
bob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2o
bo2bob2o3b2obo$2o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o3bobo3b2o$2b
3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o4b3o3b3o
4b3o3b3o4b2o5b2o$2o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o9b4o3bobo3b2o$
bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2o
bob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2obob2obo2bob2o3b2o
bo$bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2b
o2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bobobo2bo2bo2bo
bobo2bo$2bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3b
o4bo3bo3bo4bo3bo3bo4bo3bo3bo4bo3bo3bo$3b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3o
b3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o6b3ob3o$5bobo10bobo10bobo10bobo
10bobo10bobo10bobo10bobo10bobo10bobo10bobo4$3b3ob3o$2b2obobob2o$bobob
obobobo$3o2bobo2b3o$o4bobo4bo$5o3b5o2$2bo7bo$bobo5bobo$2bo7bo5$b4o6b4o
6b4o6b4o6b4o$ob2obo4bob2obo4bob2obo4bob2obo4bob2obo$2o2b2o4b2o2b2o4b2o
2b2o4b2o2b2o4b2o2b2o$2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o4b2o2b2o$ob2obo4bo
b2obo4bob2obo4bob2obo4bob2obo$b4o6b4o6b4o6b4o6b4o5$2b2o3b2o10b2o7b2o$
bo2bobo2bo10bo6bobo$bob2ob2obo7b2o6bo2bo$2o2bobo2b2o5bo8b3o$2b2obob2o
6bo3bo3b2o2bo$2o2bobo2b2o3bo3bo5bo$bob2ob2obo4bo2bo4bob2o$bo2bobo2bo2b
o3bo4bobo$2b2o3b2o3b2o7b2o12$bo33bo33bo41b3o39bo110bo$obo31bobo30b2ob
2o80bobo109bo$obo31bobo30b2ob2o38bo3bo37bobo74b3o32bo$bo33bo31b2ob2o38b
o3bo37bobo40b3o30bo3bo73b3o$68bobo82bo74bo3bo27b3o3b3o35bo2bo2bo$68bo
bo40b3o37b2ob2o39bobo30bo3bo29bobobo36bobobobobo$bo32b3o30b2ob2o40bo40b
o42bo32b3o30b2ob2o35bo4bo4bo$obo30bo3bo9bo19bobobo8b2o5bo36bo138bobo37b
obo3bobo$33bo3bo8b3o16b3o3b3o7bobo4bo21bobobo8b2o138bobo39bobobo$3o10b
o5b2o12bo3bo7bobobo3b2o23bo2bo2b2o3bo18bobo3bobo5b2ob2o69bo33bo31b2ob
2o$11b2ob2o2bo2bo12b3o7b3ob3obo2bo13bo8bo3bo6bo17bo4bo4bo4bobo70bobo31b
obo30b2ob2o40bo$13bo5b2o24bobobo3b2o14bo8bo2bo2b2o3bo18bobobobobo4bo4b
5o2bo38bobo20bobo31bobo30b2ob2o39b3o$46b3o20bo11bobo4bo20bo2bo2bo4b2o
bobob4o2b3o34b2ob3o20bo33bo33bo83bo$47bo32b2o5bo23b3o7bo4b5o2bo36bo5b
o128bo3bo36b2ob2o$122bobo45b2ob3o77bo27bo5b2o16bo3bo20bo17bo$35bo32b3o
51b2ob2o45bobo77b3o25bo4bobo42b2o15bobo$bo32b3o75bo10b2o87b2o5bo26b2o
3bobobo23bo3b2o2bo2bo15b3o19b2ob2o14bobo$bo31bobobo28bo5bo38b3o10bo86b
o2bo2b2ob2o23bo2bob3ob3o22bo6bo3bo39bobo14bobo$obo29b3ob3o27b3ob3o36b
2o3b2o96b2o5bo26b2o3bobobo23bo3b2o2bo2bo30bo2b5o4bo14bo13bobo$bo31bob
obo31bo38b2o2bo2b2o135b3o25bo4bobo31b3o2b4obobob2o26b3ob2o$bo32b3o30b
o3bo35b2obo3bob2o135bo27bo5b2o32bo2b5o4bo26bo5bo$35bo32bobo38bo2bo2bo
214bobo28b3ob2o$68bobo38bobobobo212b2ob2o29bobo$bo33bo75b3o216b2o$obo
31bobo29bo5bo38b3o216bo$obo31bobo30bo3bo39b3o$bo33bo32b3o40b3o38b3o$152b
obo152bo$151bo3bo40bo33bo32b3o41bo40bo$111b3o38bobo40bobo31bobo30bo3b
o39b3o38bobo$112bo38b2ob2o39bobo31bobo29bo5bo78b2ob2o$112bo39bobo41bo
33bo116bobo$153bo109bobo40b3o37bo3bo$230bo32bobo40b3o38bobo$196bo32b3o
30bo3bo39b3o38b3o$196bo31bobobo31bo41b3o$195bobo29b3ob3o27b3ob3o36bob
obobo$196bo31bobobo28bo5bo36bo2bo2bo$196bo32b3o70b2obo3bob2o$230bo32b
3o37b2o2bo2b2o$304b2o3b2o$306b3o$307bo!

Citation needed · Post by **Citation needed** » March 7th, 2025, 5:55 am

Code: Select all

#C PrintLife
#C This actually doesn't use the "Print" feature.
x = 5, y = 5, rule = PrintLife2
3.D$D2.E$3.F$4.D$.D!

hotcrystal0 · Post by **hotcrystal0** » March 7th, 2025, 5:20 pm

Here’s one in B3/S2-i3. This was slightly harder than tlife because even though the crabstretcher still works, the “ant” does not work in this rule:

Code: Select all

x = 26, y = 27, rule = B3/S2-i3
17b2o$7b3o6bobo$7bo10bo$8bo6bo$10b2o2b2o$11bo2b2o$15b2o$8b2o6b2o6b2o$
3o5b2o5bo2b2o3bobo$o6bobo7b3o5bo$bo4b2o14bo$3b4obo12b2o$4b2o12bo$8bo8b
obo$7bobo6bobo$8bo8bo2$12b2o$12bo$15bo$9b2o3b2o$9bo$12bo$6b2o3b2o$6bo
$9bo$8b2o!

unname4798 · Post by **unname4798** » March 8th, 2025, 1:10 am

Suddenly, it also works in unmodified CGoL:

Code: Select all

17b2o$7b3o6bobo$7bo10bo$8bo6bo$10b2o2b2o$11bo2b2o$15b2o$8b2o6b2o6b2o$
3o5b2o5bo2b2o3bobo$o6bobo7b3o5bo$bo4b2o14bo$3b4obo12b2o$4b2o12bo$8bo8b
obo$7bobo6bobo$8bo8bo2$12b2o$12bo$15bo$9b2o3b2o$9bo$12bo$6b2o3b2o$6bo
$9bo$8b2o!

islptng · Post by **islptng** » March 12th, 2025, 11:54 pm

Nikro found a semi-natural 1CPG in my rule Calthrops with ikpx2:
https://catagolue.hatsya.com/census/b2n ... _stdin/yl1

Code: Select all

x = 0, y = 0, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c
3bob3o$2b3ob2o$bo8bo$2o2bo4b2o$bobo$o6bobobo$2o4b5obo$2o3b2o4bo$6b
obo5b3o$3bob2o2b2ob2obo$2b2o2bo2b4obo$5bobo2b4o$6bo2b3o$9bobo$8bob
o$8b2o$8bo!

confocaloid · Post by **confocaloid** » March 13th, 2025, 12:14 am

Correction, it isn't semi-natural, because it didn't appear in the final pattern from any soup (whether symmetric or not).

"Semi-natural" would mean that the object in question appeared in some of the "official censuses" on Catagolue, which this one didn't AFAIK.
"Natural" would mean that the object in question appeared in the C1 census specifically.

That's actually a period-4 object, a p4 c/4d wickstretcher that stretches two boats. Looks like the Catagolue identifier (yl1_1_1_90240ee96c4ba43f3a1dea919744b9dd) begins with "yl1" due to apgsearch only looking at the population sequence.

Here it is evolved and truncated so that it begins with initial population of 43 alive cells, and grows at 1 bit per tick from that. Can anyone reduce the initial population?

Code: Select all

#C [[ GRID SHOWGENSTATS ]]
x = 13, y = 13, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c
7bo$3b2ob2o$4b2o$bo7b3o$b2o7b2o$2bo8bo$bo5b4obo$2o4b3ob2o$6b2o$3bo2bo$
3b2ob2o$3b3obo$6bo!

islptng wrote: ↑
March 12th, 2025, 11:54 pm
Nikro found a semi-natural 1CPG in my rule Calthrops with ikpx2:
https://catagolue.hatsya.com/census/b2n ... _stdin/yl1
Code: Select all
x = 0, y = 0, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c
3bob3o$2b3ob2o$bo8bo$2o2bo4b2o$bobo$o6bobobo$2o4b5obo$2o3b2o4bo$6b
obo5b3o$3bob2o2b2ob2obo$2b2o2bo2b4obo$5bobo2b4o$6bo2b3o$9bobo$8bob
o$8b2o$8bo!

hotcrystal0 · Post by **hotcrystal0** » March 19th, 2025, 8:49 pm

hotcrystal0 wrote: ↑

March 6th, 2025, 5:56 pm

Edit 3: Population slightly reduced with welds:

Code: Select all

x = 40, y = 79, rule = B34k/S23
25b2o$25b2o5b2o$12b3o16b2obo$11b5o13b2o3b2o$10b2ob3o5bo6b2o3b2o$11b2o
6bo3bo9bo$24bo$19bo4bo$20b5o8bo$28b2o3b2o$7bo6b2o13b2o3b2o$5b3o6b2o15b
2obo$4bo2bo17b2o5b2o$3b2ob3o16b2o$4b2o2bo$5b4o5b5o$14bo4bo11b2o$14bo8b
2o5b5o$5b4o6bo3bo3b2o4b2ob4o$4b2o2bo8bo15b2obo$3b2ob3o27b2o$4bo2bo15b
o10b3o$5b3o6b2o5bo3bo9bo$7bo6b2o10bo$21bo4bo$22b5o8bo$34b3o$15bo2bo17b
2o$14bo8b2o8b2obo$14bo3bo3bo6b2ob4o$14b4o5b2o5b5o$31b2o2$34b3o$33b5o$
33b3ob2o$36b2o4$b3o10bobo10b3o$2b2o6bo3bobo3bo6b2o7b2o$o2b2o2bo6bobo6b
o2b2o2bo3bo2bo$2o3bobobob3o3b3obobobo3b2o3b2o$5bo19bo$35bobo$5bo19bo9b
o2bo$2o3bobobob3o3b3obobobo3b2o6bo$o2b2o2bo6bobo6bo2b2o2bo$2b2o6bo3bo
bo3bo6b2o7b2o$b3o10bobo10b3o$35bobo$35b2o$34b2obo$34b2obo$35b2o$32bo$
14bo17b5o$9b2o3bobobob3o14bo$9bo2b2o2bo6bob2o7b3o$11b2o6bo3bobo7bo$10b
3o10bobo7b2o$25bob3o$24b2ob6o$30b2obo$32bobo$34bo$24b2o8b2o$25bo$25bo
b2o3b4o$26bo2bobo4bob2o$29bobo2bobobo$26bo2bobo4bo2bo$25bob2o3b4o2b2o
$25bo$24b2o6b2o$32b2o$30b2o$30b2o!

Reduced again, by removing several elements that actually cancel each other out and using another weld:

Code: Select all

x = 48, y = 58, rule = B34k/S23
25b2o$25b2o5b2o$12b3o16b2obo$11b5o13b2o3b2o$10b2ob3o5bo6b2o3b2o$11b2o
6bo3bo9bo$24bo$19bo4bo$20b5o8bo$28b2o3b2o$7bo6b2o13b2o3b2o$5b3o6b2o15b
2obo$4bo2bo17b2o5b2o$3b2ob3o16b2o$4b2o2bo$5b4o5b5o$14bo4bo11b2o$14bo8b
2o5b5o$5b4o6bo3bo3b2o4b2ob4o$4b2o2bo8bo15b2obo$3b2ob3o27b2o$4bo2bo15b
o10b3o$5b3o6b2o5bo3bo9bo$7bo6b2o10bo$21bo4bo$22b5o8bo$34b3o$36b2o$23b
2o8b2obo$22bo6b2ob4o$23b2o5b5o$31b2o2$18bo$10b2obobobobo2b2o$6b2obo2b
o2bo7bo$4bo2bob5o4b2obo$4b2obo2b2o9b2o$7bo$7b2o$b3o10bobo10b3o$2b2o6b
o3bobo3bo6b2o$o2b2o2bo6bobo6bo2b2o2bo11b2o$2o3bobobob3o3b3obobobo3b2o
2bob2o5b2o$5bo19bo7b2obo5b2o$41b2o$5bo19bo7b3o5b2o$2o3bobobob3o3b3obo
bobo3b2obo3bo3bobo$o2b2o2bo6bobo6bo2b2o2bobo3bo4bo2b2o$2b2o6bo3bobo3b
o6b2o3bobobob3o3bobo$b3o10bobo10b3o2bo3bobo7bo$22b2o9b3o10b2o$23bo$8b
3o10bobob2o5bob2o$9b2o6bo3bobo2bo5b2obo$7bo2b2o2bo6bob2o$7b2o3bobobob
3o$12bo!

Edit: It can also be packed tighter:

Code: Select all

x = 48, y = 51, rule = B34k/S23
32b2o$32b2o5b2o$19b3o16b2obo$18b5o13b2o3b2o$17b2ob3o5bo6b2o3b2o$18b2o
6bo3bo9bo$31bo$26bo4bo$27b5o8bo$35b2o3b2o$14bo6b2o13b2o3b2o$12b3o6b2o
15b2obo$11bo2bo17b2o5b2o$10b2ob3o16b2o$11b2o2bo$12b4o5b5o$21bo4bo11b2o
$21bo8b2o5b5o$12b4o6bo3bo3b2o4b2ob4o$11b2o2bo8bo15b2obo$10b2ob3o27b2o
$11bo2bo15bo10b3o$12b3o6b2o5bo3bo9bo$14bo6b2o10bo$28bo4bo$29b5o8bo$18b
o22b3o$10b2obobobobo2b2o19b2o$6b2obo2bo2bo7bo6b2o8b2obo$4bo2bob5o4b2o
bo7bo6b2ob4o$4b2obo2b2o9b2o7b2o5b5o$7bo30b2o$7b2o$b3o10bobo10b3o$2b2o
6bo3bobo3bo6b2o$o2b2o2bo6bobo6bo2b2o2bo11b2o$2o3bobobob3o3b3obobobo3b
2o2bob2o5b2o$5bo19bo7b2obo5b2o$41b2o$5bo19bo7b3o5b2o$2o3bobobob3o3b3o
bobobo3b2obo3bo3bobo$o2b2o2bo6bobo6bo2b2o2bobo3bo4bo2b2o$2b2o6bo3bobo
3bo6b2o3bobobob3o3bobo$b3o10bobo10b3o2bo3bobo7bo$22b2o9b3o10b2o$23bo$
8b3o10bobob2o5bob2o$9b2o6bo3bobo2bo5b2obo$7bo2b2o2bo6bob2o$7b2o3bobob
ob3o$12bo!

Edit 2: More welds, more reduction:

Code: Select all

x = 66, y = 50, rule = B34k/S23
36b2o$36b2o5b2o$23b3o16b2obo$22b5o13b2o3b2o$21b2ob3o5bo6b2o3b2o$22b2o
6bo3bo9bo$35bo$30bo4bo$31b5o8bo$39b2o3b2o$18bo6b2o13b2o3b2o$16b3o6b2o
15b2obo$15bo2bo17b2o5b2o$14b2ob3o16b2o$15b2o2bo$16b4o5b5o$25bo4bo11b2o
$25bo8b2o5b5o$16b4o6bo3bo3b2o4b2ob4o$15b2o2bo8bo15b2obo$14b2ob3o27b2o
$15bo2bo15bo10b3o$16b3o6b2o5bo3bo9bo$18bo6b2o10bo$32bo4bo$33b5o8bo$45b
3o$47b2o$34b2o8b2obo$33bo6b2ob4o$34b2o5b5o$42b2o$5bo$2o3bobobob3o$o2b
2o2bo6bob2o$2b2o6bo3bobo2b3o10bobo10b3o$b3o10bobo3b2o6bo3bobo3bo6b2o$
16bobo2b2o2bo6bobo6bo2b2o2bo11b2o$15b2ob2o3bobobob3o3b3obobobo3b2o2bo
b2o5b2o$23bo19bo7b2obo5b2o$59b2o$23bo19bo7b3o5b2o$15b2ob2o3bobobob3o3b
3obobobo3b2obo3bo3bobo$16bobo2b2o2bo6bobo6bo2b2o2bobo3bo4bo2b2o$b2o9b
2o2bo3b2o6bo3bobo3bo6b2o3bobobob3o3bobo$2bob2o4b5obo2b3o10bobo10b3o2b
o3bobo7bo$o7bo2bo2bob2o33b3o10b2o$2o2bobobobob2o$5bo44bob2o$50b2obo!

Citation needed · Post by **Citation needed** » March 21st, 2025, 5:56 am

This rule is slightly different. ColorfulGalaxy did not search on Catagolue. Instead, he did a manual soup search by himself. He found a "p8" puffer, but failed to find a suitable "p2" oscillator to smooth the graph.
While he was looking for spaceships, he found another "p6" puffer by trying to put two spaceships together. Luckily, he did not need more oscillators this time.

Code: Select all

#C 3×7P6H6V0A2
x = 31, y = 5, rule = B2ace/S3
b2o3b2o4b2o3b2o4b2o3b2o$o7bo2bo7bo2bo7bo$2bo3bo7bobo2$3bobo!

This one is in "Calthrops". ColorfulGalaxy found some wickstretchers on Catagolue. The "p3" wickstretcher grew too fast, so he chose the "p12" wickstretcher.
The graph is still not smooth, and a "p4" oscillator is needed. Surprisingly, two copies of the "A" spaceship fit perfectly.

Code: Select all

x = 10, y = 44, rule = B2n3ainy4aijqyz5einy6aci7e/S23-ajkq4cjkrwy5jk6-en7c
bo$obo2bo$bobobo$2bo5b2o$7b3o$b2o2b5o$5b4o$4b4o$3b4o$3b3o4$o$5o$o4$bo
$obobo$bo2bo$3b2o3bo$b4obobo$7b2o$4bo2bo$5b2o$3b3o3$o$5o$o4$bo$ob2obo
$bo2bobo$bo2b3o$2b2o3bo$bobo2bo$2b2obo$4bo!

EDIT: Someone has already found another one.

Citation needed · Post by **Citation needed** » April 4th, 2025, 6:08 am

ColorfulGalaxy found another one, based on a puffer found by Josh Ball.

Code: Select all

#C 5×79P5H2V0A1
#C Based on a puffer found by Josh Ball
x = 211, y = 11, rule = B3/S023
7b2o19b2o21b3o19b3o20bo21bo17b3o19b3o20bo21bo$5b2obo19bob2o18b2ob2ob4o
7b4ob2ob2o17b2ob2o2b2o9b2o2b2ob2o14b2o2bo2bobo7bobo2bo2b2o17b4o19b4o$
2bobo5b6o5b6o5bobo11b3ob2o8bo5bo8b2ob3o10bobo3b2o2b3o7b3o2b2o3bobo7b2o
b2o5bo3bo5bo3bo5b2ob2o12bo3bo19bo3bo$b2o4b8obo3bob8o4b2o9bobob4o8bo3b
o8b4obobo8b3o4bo3b4o5b4o3bo4b3o6bo2bo3b2o2bo2b2o3b2o2bo2b2o3bo2bo9b4o
bob9o3b9obob4o$2o2b2ob2ob4o3bobo3b4ob2ob2o2b2o14b2o6bob2ob2obo6b2o15b
obo11b2ob2o11bobo8bo13bo3bo13bo10bo2b2o9b2o3b2o9b2o2bo$2o15bobo15b2o8b
2o9b2o3b2ob2o3b2o9b2o7bo6bo6bo7bo6bo6bo4bo6bo7b2o3b2o7bo6bo8bo6bo8bob
o8bo6bo$17bobo42bobo39bo5bo34b2o3b2o22bo6bo9bobo9bo6bo$18bo44bo41b2ob
2o36b5o41bo$107bo39b3o39bo5bo$190bo3bo$192bo!

Here is one in "T-logic 2". The oscillator was from the manual soup search.

Code: Select all

x = 30, y = 40, rule = B3ain4w5jqy6i8/S1e2-cn3iry4eit5kHistory
.A3.A3.A3.A3.A3.A3.A3.A$.A3.A3.A3.A3.A3.A3.A3.A$A3.A3.A3.A3.A3.A3.A3.
A$2A2.2A2.2A2.2A2.2A2.2A2.2A2.2A3$2.C$2.2C$C.C$C$2.C$2.2C$2.C3$2.CA$3.
CA$C.CA$C$3.A$3.CA$3.A3$4.A$4.2A$C.C.A$CA$4.A$4.2A$4.A3$4.2A$5.2A$C3.
2A$C$5.A$5.2A$5.A!

islptng · Post by **islptng** » April 4th, 2025, 7:06 am

This works in both T-logic 3 and 4:

Code: Select all

x = 56, y = 15, rule = B3ain4ajkz5ejknq6-ac7e/S1e2-cn3-aenq4-ajntw5ikqy6-i7e
3o$2bo2b3o8b3o$2bo2bo10bo2bob3o8b3o$5bo17bo10bo2b3o8b3o$18bo15bo2bo10b
o2bob3o$37bo17bo$50bo$36b2o14b2o4$2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o$bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo$o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo!

Can anyone find one for T-logic 1?

Citation needed · Post by **Citation needed** » April 6th, 2025, 11:07 pm

ColorfulGalaxy found one in "Asteroids".

The blinker was from the manual soup search.

Code: Select all

#C 21 puffers and 83 blinkers in Asteroids
x = 423, y = 27, rule = B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k
66b2o$7bo18b2o17b3o18bobo19bo18b2o17b3o19b2o21bo19b2o16b3o17b2o21bo19b
2o$4bo19bo2bo20bo20bo15bo19bo2bo20bo18bobo17bo20bo2bo19bo16bobo17bo20b
o2bo37b2o20bobo19bo57b2o$bo3bo15bo20bobo3bo19b2o16bo38bo3bo21bo17bo38b
o3bo19bo17bo39b3o18bobo18bo19bo20b2o16b3o19bobo$o5bo17bobo18bo2bo38bo
17bobo18bo2bo20b2o18bo18bobo17bo2bo18b2o18bo18bobo20bo14bobo3bo20bo17b
o17bo2bo19bo15bo5bo$46bo17bo62bo82bo55bobo20bo3bo15bobob2o14bo4bo14bo
4bo35bo3bo14bo5b2o$o71b2o9bo19bo20bo20bo19bo20bo19bo19bo18b3o17bo3bo18b
2o3bo18bo55bo2bobo14bo2bo2bo$5bo7bo11bobo4b2o17b3o18bobo19bo18b2o17b3o
10b2o7b2o10bo10bo9bo9b2o8bo7b3o7bobo7b2o8bobo10bo19b2o10b2o19bo80bo17b
o$2bobobo3bo15bo3bo2bo20bo20bo15bo19bo2bo20bo18bobo17bo20bo2bo19bo7bo
8bobo7b3o7bo9bo3bo6bo2bo10bo21bo4b2o13bo6bobo10bo8bo49bo2bo4b2o$5bobo
3bo13bobo22bo3bo19b2o16bo38bo3bo21bo17bo38bo3bo19bo17bo9bobo27b3o18bo
bo18bo19bo12bo7b2o10bo5b3o13bo5bobo$6bo5bo11bo5bobo18bo2bo38bo17bobo18b
o2bo20b2o18bo18bobo17bo2bo18b2o18bo18bobo20bo14bobo3bo20bo17bo17bo2bo
19bo15bo5bo$52bo17bo62bo82bo55bobo20bo3bo15bobob2o14bo4bo14bo4bo35bo3b
o14bo5b2o$6bo82bo19bo20bo20bo19bo20bo19bo19bo18b3o17bo3bo18b2o3bo18bo
55bo2bobo14bo2bo2bo$11bo19bo20bo98b2o19bo20bo19bo17bobo17bobo42b2o19b
o80bo17bo$8bobo221bo18b3o17bo3bo20bo21bo19bo19bo58bo2bo$272bobo102bo19b
o21bo11$
3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o2b3o!

Here is a simple one.

Code: Select all

x = 3, y = 3, rule = Cactus
E.E2$EAE!

Here is another one in a rule that seems to be islptng's rule.

Code: Select all

x = 13, y = 3, rule = Marbles
2P.3P.3P.2P$PB2.P.B.P3.P$P.A.P.A.P.ACP!

Here is a wickstretcher in rule "GeminoidMaster".

Code: Select all

#C Wickstretcher
x = 4, y = 4, rule = GeminoidMaster
F.FB$2.B$FBF$B2.A!

R2INT · Post by **R2INT** » April 11th, 2025, 8:35 pm

Here is one in my rule 7x7INT:

Code: Select all

x = 8, y = 5, rule = B2-ae3ajqy4ekty5einry6cek78/S02ei3aejnq4-cejnr5-aeqy67e8
2bo$bo3bobo$6o$bo3bobo$2bo!

Citation needed · Post by **Citation needed** » April 12th, 2025, 4:16 am

A slightly old rule called Turing Tumble was found with this three-cell pattern.

Code: Select all

x = 3, y = 2, rule = TuringTumble
pI.pI$A!

Here is another one in Brian's rule.

Code: Select all

x = 6, y = 3, rule = Billiards
.E2.E$EA2ECE$2E.2E!

This one is in LittleLWSS's rule.

Code: Select all

x = 7, y = 8, rule = B2cei3ary4aeiry5any/S1e2-c3-inq4ikry5eijr6i
4b3o$4bo$2bob3o$2b2o$2b2o$3bo$2obo$3bo!

Here is a recent discovery in rule "qsvn".

Code: Select all

#C All non-zero cells are counted.
#C Based on soup search
x = 2, y = 2, rule = qsvn
BC$AB!

Here is a much smaller one based on a three-cell gun.

Code: Select all

#C 6 cells in Marbles
x = 4, y = 3, rule = Marbles
bB$PbCP$b2A!

Here is a "Funky factory" rule.

Code: Select all

x = 2, y = 2, rule = funkyfactory
2G$2C!

This is another rule designed to be Turing Complete. All non-zero cells are counted.

Code: Select all

x = 5, y = 5, rule = PhotonBuilder
3.C$C2$2.BAC$.C!

Here are some "HROT" rules.

Code: Select all

x = 1, y = 1, rule = R1,C2,S,B1-2,N@18
o!

Code: Select all

x = 1, y = 1, rule = R1,C2,S,B1-2,N@24
o!

Code: Select all

x = 1, y = 1, rule = R1,C2,S,B1-2,N@42
o!

Code: Select all

x = 1, y = 1, rule = R1,C2,S,B1-2,N@81
o!

hotcrystal0 · Post by **hotcrystal0** » April 21st, 2025, 11:19 pm

Here’s one in Live Free or Die:

Code: Select all

x = 29, y = 10, rule = B2/S0
2b2o6b2o6b2o6b2o$4bo7bo7bo7bo$bo7bo7bo7bo$o7bo7bo7bo$2bo7bo7bo7bo$3bo
5bobo4bo2bo3b2o2bo$10bo13b3o$17bobo4b2ob2o$25b3o$26bo!

Citation needed · Post by **Citation needed** » May 1st, 2025, 9:56 pm

This is a pattern found by ColorfulGalaxy in a replicator rule. The oscillator was based on soup search by ColorfulGalaxy.

Code: Select all

#C Contrary to what you might expect, all non-zero cells are counted, including state 12.
x = 6, y = 41, rule = Univ1234
ACBA$A2.A$B2.C$C2AB2A$5.A3$CB2A$A2.C$A2.B$BC4A$5.A3$B2AC$C2.B$A2.A$AB
C3A$5.A3$2ACB$B2.A$C2.A$2ABC2A$5.A3$ACBA$A2.A$B2.C$C2ABCA$5.A4$.ABF$F
AC$2.F$F2A$.BCF!

The following pattern is the reduction of the previous one.

Code: Select all

x = 8, y = 8, rule = Billiards
B5$6.E$5.E.E$6.E!
[[ LABEL 0 9 8 "#I #P" ]]

This one is in a rule found by "pifricted". Soup-searching didn't return useful results this time.
One of the oscillators was found from hassling the gun.

Code: Select all

x = 20, y = 130, rule = B2ci3ai8/S1e2cei3cij4c
5bo$4bobo$3bobobo$2bobobo$5bo$4bo2$4bo$3bobo$2bobobo$bobobobo$2bobobo
$3bobobo$4bobo$5bo$6bo7$5bo$4bobo$3bobobo$4bobobo$5bo$4bo3bo$6b2o$2bo
bo3bo$3bobo$obobobobo$bobobobo$2bobobobo$3bobobo$4bobobo$5bo8$5bo$4bo
bo$3bobobo$2bobobo$5bo$4bo5bo$9b3o$4bo7bo$3bobo$2bobobo5bo$bobobobo3b
o$2bobobo$3bobobo$4bobo$5bo$6bo7$5bo$4bobo$3bobobo$4bobo3bo$5bo2b4o$4b
o$6b2o$2bobo3bo$3bobo$obobobobo$bobobobo$2bobobobo$3bobobo$4bobobo$5b
o5$bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobobo$9bobo$10bo
2$6bo$5bo$4bobo$3bobobo$obobobobo$bobo3bobo$2bobobobobo$3bobobo$4bobo
$5bo$4bo5$16bo$5bo9bo$4bobo7bobobo$3bobobo5bobobo$4bobobo3bobobobo$b2o
2bo5bobobobo$12bobobo$6bo6bobo$12bo3bo$b2o2bobo$o3bobobo7bo$3bobobobo
5bo2b2o$obobobobo5bobo$3bobobo5bobobo$4bobo7bobo$5bo9bo$4bo!

Here is another "P2" laser in a hybrid rule.

Code: Select all

x = 4, y = 5, rule = Energetic
A2.A$4A$2.F$4B$B2.B!

This one is in a "Generations" rule without B2a. Each line-stretcher grows 1 cell per 6 ticks. Therefore, six copies were needed.

Code: Select all

#C Only State 1 is counted.
x = 27, y = 169, rule = 1e2-e3-q/2-a345a/10
22.I$23.GH$23.ICD$22.GHEAB$22.H2ECA$20.IHGEABA$18.IHGFEDBA$3.I12.IHGF
EDCBA$2.HG10.IHGFEDCBA$2.FE8.IHGFEDCBA$2.DC6.IHGFEDCBA$HIBA4.IHGFEDCB
A$FGA3.IHGFEDCBA$DEAHIHGFEDCBA$BCAFGFEDCBA$3ADEDCBA$2.ABCBA$4.A14$22.
HI$23.FG$23.HBC$22.FGD2A$21.IG2DBA$19.IHGFD2A$17.IHGFEDC2A$2.IH11.IHG
FEDCBA$2.GF9.IHGFEDCBA$2.ED7.IHGFEDCBA$I.CB5.IHGFEDCBA$GH2A3.IHGFEDCB
A$EFAI.IHGFEDCBA$CDAGHGFEDCBA$ABAEFEDCBA$.2ACDCBA$3.ABA13$22.GH$22.IE
F$21.2IGAB$21.IEFC2A$20.IHF2CA$18.IHGFEC2A$3.I12.IHGFEDCBA$2.HG10.IHG
FEDCBA$2.FE8.IHGFEDCBA$2.DC6.IHGFEDCBA$HIBA4.IHGFEDCBA$FGA3.IHGFEDCBA
$DEAHIHGFEDCBA$BCAFGFEDCBA$3ADEDCBA$2.ABCBA$4.A18$22.FG$22.HDE$21.2HF
2A$21.HDEBA$19.IHGE2BA$17.IHGFEDBA$2.IH11.IHGFEDCBA$2.GF9.IHGFEDCBA$2.
ED7.IHGFEDCBA$I.CB5.IHGFEDCBA$GH2A3.IHGFEDCBA$EFAI.IHGFEDCBA$CDAGHGFE
DCBA$ABAEFEDCBA$.2ACDCBA$3.ABA15$21.I$22.EF$20.I.GCD$21.2GEA$20.IGCD2A
$18.IHGFD2A$3.I12.IHGFEDC2A$2.HG10.IHGFEDCBA$2.FE8.IHGFEDCBA$2.DC6.IH
GFEDCBA$HIBA4.IHGFEDCBA$FGA3.IHGFEDCBA$DEAHIHGFEDCBA$BCAFGFEDCBA$3ADE
DCBA$2.ABCBA$4.A13$21.HI$22.DE$20.HIFBC$20.I2FDA$19.IHFBCA$17.IHGFEC2A
$2.IH11.IHGFEDCBA$2.GF9.IHGFEDCBA$2.ED7.IHGFEDCBA$I.CB5.IHGFEDCBA$GH2A
3.IHGFEDCBA$EFAI.IHGFEDCBA$CDAGHGFEDCBA$ABAEFEDCBA$.2ACDCBA$3.ABA!

Citation needed · Post by **Citation needed** » May 13th, 2025, 6:54 pm

islptng wrote:

This rule was found by "islptng".

Code: Select all

x = 95, y = 115, rule = B2ce3acjy4er6ci/S1e2aik3ijknr4at5n
15bo$11b5o8b2o$11bo4b8obo46bo8b2o$11bo2bo11bo2bobo12b2o4bo17b4o5b4obo
$7b4ob2o9bo3b2o4b11obobob2o5b2o4bo4bo5b5o5bo$6bo20bo18b2o3b5obobob2o4b
o2b2o10bo$7b2o3b2obobo2bo2bob2ob2o2bo11bo3b4o6b2o3b9o5bo2b2o2bo$3b4ob
o2bo2b2o5b2o2bo3bo3bo2b2o6b2o6bo3bo3b4o3bo8bobo2bo5bo$4bob2o6bo3bo8bo
5bobobob2o3bo11b2o5bo4bo2b6o4bo3bo$9b2obob7obo2bo2b5o2b3obo5b6o5bo6bo
b3o3bo5b2ob3obob2o$4bo3bo8bobob2ob3o5bo3bobo3b2o13b6obo5bo5b2obo3b2ob
o$6o2bob3o4b2o22b3obo6b2obo10b4ob2obobo2b2o4bo2bobo$bo3bobo4bobo3bo2b
ob3o2b6o15bob2o3bo6bo7bo11bobo6b2o$6o2bob3o4b2o22b3obo6b2obo10b4ob2ob
obo2b2o4bo2bobo$4bo3bo8bobob2ob3o5bo3bobo3b2o13b6obo5bo5b2obo3b2obo$9b
2obob7obo2bo2b5o2b3obo5b6o5bo6bob3o3bo5b2ob3obob2o$4bob2o6bo3bo8bo5bo
bobob2o3bo11b2o5bo4bo2b6o4bo3bo$3b4obo2bo2b2o5b2o2bo3bo3bo2b2o6b2o6bo
3bo3b4o3bo8bobo2bo5bo$7b2o3b2obobo2bo2bob2ob2o2bo11bo3b4o6b2o3b9o5bo2b
2o2bo$6bo20bo18b2o3b5obobob2o4bo2b2o10bo$7b4ob2o9bo3b2o4b11obobob2o5b
2o4bo4bo5b5o5bo$11bo2bo11bo2bobo12b2o4bo17b4o5b4obo$11bo4b8obo46bo8b2o
$11b5o8b2o$15bo5$16bo$13b4o7b2o$12bo4b9obo3bo40bo8b2o$14bo10b2ob2o14b
2o3b3o16b5o5b5obo$7b5ob3o11b2ob2o2b12o2bob2o4b2o3b3o4bo4b6o3bo$12bo2b
obo5bobo19bob2o4b5o2bob2o4bo2bo7bo2bo$12b5o5b2o10bo10bo2b4o5bob2o4b3o
b2o6bobob3o$4bo4bo3bo2bo4b4obobobo2b2ob2o8bo5bo4bo2b4o18bo$4b2ob2o3bo
6bo4b2obo6bobo4bo3bo12bo5bo8b5o2bobob2o3bo$4bobo3b2o4b2o3b3ob2o2b6obo
4bo4b6o5bo8b4obo7bo4bo2b2o$5b2o2bo4bo6b2o2bobo5bo2b3obob2o11bo2b6o6bo
3bo2bo5b3o4bo$bob2obob2ob2o5bob2o16bo3bo8b4o9bo2b4ob2o3b2o2bobo3bo$o3b
o12bo6b3o2b6o6bobo3bo4bo13bob2o8b2o2bo3bobo3b2o$bob2obob2ob2o5bob2o16b
o3bo8b4o9bo2b4ob2o3b2o2bobo3bo$5b2o2bo4bo6b2o2bobo5bo2b3obob2o11bo2b6o
6bo3bo2bo5b3o4bo$4bobo3b2o4b2o3b3ob2o2b6obo4bo4b6o5bo8b4obo7bo4bo2b2o
$4b2ob2o3bo6bo4b2obo6bobo4bo3bo12bo5bo8b5o2bobob2o3bo$4bo4bo3bo2bo4b4o
bobobo2b2ob2o8bo5bo4bo2b4o18bo$12b5o5b2o10bo10bo2b4o5bob2o4b3ob2o6bob
ob3o$12bo2bobo5bobo19bob2o4b5o2bob2o4bo2bo7bo2bo$7b5ob3o11b2ob2o2b12o
2bob2o4b2o3b3o4bo4b6o3bo$14bo10b2ob2o14b2o3b3o16b5o5b5obo$12bo4b9obo3b
o40bo8b2o$13b4o7b2o$16bo6$16bo$12b5o7bo$16b9o3bo43bo8bo$12bob2o9bo3bo
2bo11bo3b2o19b4o5b4o$7b5o3bo8bo2b5o2b11o2bo2bo5bo3b2o6bo4b5o4bo$22b2o
5bo3bo11bobo4b5o2bo2bo7bo8bo2bo$12bo4bo3bobobobobo3b2o10bo2b4o5bobo4b
4ob3o7bobobo$4b3obo2b2o3bo4bo3bo7bo3bo6bo6bo5bo2b4o4bo9bobobo$7b2o2bo
bobo4bobo12b2o4bo14bo6bo6bo2b5obo2bo2bo2bo$4bo5b3o3b2o10b5obobo2b2o4b
7o14b4o8bob2o4b3o$2bo5bo10bo3bob2o6b2o7b2o10bo2b8o3bo4bo3bo5bob2o$o2b
2obobo2b2o4bo2b3o15bo4b2o6bob3o7bo2b2o2bob3o2bobo8bo$13bo8bob3o2b6o2b
obo2bo7bo4bo7bobobo6bobo2b2o3bo2bo4b2o$o2b2obobo2b2o4bo2b3o15bo4b2o6b
ob3o7bo2b2o2bob3o2bobo8bo$2bo5bo10bo3bob2o6b2o7b2o10bo2b8o3bo4bo3bo5b
ob2o$4bo5b3o3b2o10b5obobo2b2o4b7o14b4o8bob2o4b3o$7b2o2bobobo4bobo12b2o
4bo14bo6bo6bo2b5obo2bo2bo2bo$4b3obo2b2o3bo4bo3bo7bo3bo6bo6bo5bo2b4o4b
o9bobobo$12bo4bo3bobobobobo3b2o10bo2b4o5bobo4b4ob3o7bobobo$22b2o5bo3b
o11bobo4b5o2bo2bo7bo8bo2bo$7b5o3bo8bo2b5o2b11o2bo2bo5bo3b2o6bo4b5o4bo
$12bob2o9bo3bo2bo11bo3b2o19b4o5b4o$16b9o3bo43bo8bo$12b5o7bo$16bo7$17b
o$13b4o8bo$12bo5b9o3bo42bo8bo$12bo2b2o15bo12bo2b4o17b5o4b6o$8b9o7bobo
b2ob2o2b12obobo6bo2b4o9b6o4bo$22b3o2bo2bo3bo11bobo4b6obobo6bob2o7bobo
bo$8bo3b2o3bo4bobobo3bo4bo9b2ob5o5bobo4b4o3bo6bo3bo$5b5o2bob3obo2bo4b
o2bo4bo2bo8bo5bo4b2ob5o3bo9bobo3bo$4bo2b2o4bo20bob3o2bo11bo4bo5bo9b4o
bo3bo3bobo$10b2ob6o3bo2bo3b6o2bo2b2o4b7o14b2o2bobo7b2o2b2o$6bo2bo4bo4b
obobo2b2o5b2o8b2o8b4ob6ob2o5b4o2bobo5b2o2bo$3b3o3bo2b3o5b4o4bo7bobobo
b2obo5bo2bobo7bo2b3o3bobob2ob2o3bo$ob2o6b2o5bob2o4b3o2b6o3bo6bo17bo2b
o2bo10bo8bo2b2o$3b3o3bo2b3o5b4o4bo7bobobob2obo5bo2bobo7bo2b3o3bobob2o
b2o3bo$6bo2bo4bo4bobobo2b2o5b2o8b2o8b4ob6ob2o5b4o2bobo5b2o2bo$10b2ob6o
3bo2bo3b6o2bo2b2o4b7o14b2o2bobo7b2o2b2o$4bo2b2o4bo20bob3o2bo11bo4bo5b
o9b4obo3bo3bobo$5b5o2bob3obo2bo4bo2bo4bo2bo8bo5bo4b2ob5o3bo9bobo3bo$8b
o3b2o3bo4bobobo3bo4bo9b2ob5o5bobo4b4o3bo6bo3bo$22b3o2bo2bo3bo11bobo4b
6obobo6bob2o7bobobo$8b9o7bobob2ob2o2b12obobo6bo2b4o9b6o4bo$12bo2b2o15b
o12bo2b4o17b5o4b6o$12bo5b9o3bo42bo8bo$13b4o8bo$17bo!

islptng · Post by **islptng** » May 13th, 2025, 8:05 pm

Citation needed wrote: ↑
May 13th, 2025, 6:54 pm

Run a soup and you'll see that c/8o wickstretcher...

Code: Select all

#C One cell per generation
x = 25, y = 7, rule = B2ce3acjy4er6ci/S1e2aik3ijknr4at5n
5bo$4b3o2b2obo3b3o5bo$3bobo3bob2o2bobo3bob2o$3bo5bo5bo5bo$2obo3bobo5bo
5bo$o2bo5bo2bo2bo3bobo$3o4b3o3b2o3b4o!

(EDIT) Read the posts and you'll find the c/2o hat which can stretch line too...

Code: Select all

x = 11, y = 5, rule = B2ce3acjy4er6ci/S1e2aik3ijknr4at5n
3bo3bo$b3o4b3o$o4b2obo$b3o4b3o$3bo3bo!

Here's one in my another rule, SimpleBuilder12, and generation equals to population since 110:

Code: Select all

x = 25, y = 12, rule = SimpleBuilder12
2.15A$.2A13.A$3A.DB.AD.2A.BA.3A2.2A$A.A.2A.AB.2A.DA3.A2.A$ABDB15A.5A$
4.2A.AB.2A.DA3.5A.A$4.DB.AD.2A.BA4.A2.A$16.4A.2A$14.A.2A$14.4A$17.A$
16.2A!
[[ LABEL 7 -5 8 "Generation:#I\nPopulation:#P" ZOOM 13 ]]

Nikro · Post by **Nikro** » May 14th, 2025, 6:29 pm

Code: Select all

x = 16, y = 16, rule = B2in3ainry4airtwyz5eqr78/S234qw5ack7
boobooboobbooobb$
obooobooobbobboo$
bbboboobbboobobo$
boboobbbbbobboob$
bobobobbbboboboo$
boobobbooboboobb$
bobbooobooooobbo$
obobbobooobboboo$
obbobbbobbbobobo$
bbbbbooboobobobb$
bbbbbbooooooooob$
boobobbbboobobbo$
bbooobbbbbooboob$
oobboobooobobboo$
boooobobooobboob$
oooobobbobbobbob!

My goal was to create a rule similar to some other rules in the past with a copious amount of still-life-based oscillators and small rotors. I think I kinda succeeded, but it also produced natural OPG growth. The mechanism in this soup first appears at around T=132, though it takes 65 more generations for residual activity to die and officially initiate OPG.

Citation needed · Post by **Citation needed** » May 22nd, 2025, 6:59 pm

This is a fairly old circuit rule.

Code: Select all

x = 7, y = 7, rule = FastCircuit_beta1
2.A$2.A4C$2CAC2AC$C2ACABC$CABCA2C$4CA$4.A!

hotcrystal0 · Post by **hotcrystal0** » May 31st, 2025, 8:04 am

Here’s one in B3/S23-a5:

hotcrystal0 wrote: ↑

May 31st, 2025, 8:03 am

One-cell per generation growth:

Code: Select all

x = 105, y = 104, rule = B3/S23-a5
2o$obo$o4bo$3bobo$3b2o$5bobo$5bo2bo2$6b2o$8bobo$10bo$9bo$11bo$10bobob
o$12bob2o$12bob2o$15b2o$15b2o$15b2o2bo$20bo$17bobo2bo$20bo$22b2o$21bo
bo$21bob2o$22b3o$23bo2bo$24bobo$27bobo$26bo2bo$28bo3bo$31b4o$30b2o3bo
$31bobobo$31bo$32b2o3b2o$36b2o3b2o$35b2ob3obo$35bob2obo$37bob2obo2bo$
37b3o2b4o$36bo5b2o$36b2ob3o2bo$40b2o3b2obo$40bobo3bobobo$39b2o2bo2bo2b
obo$43b4o3b2o$47bo2bo$43b2o5b2o$45bo4b2o$44bob4o$45b2ob2o2bo$51bobo4b
o$52bo6bo$55b4obo$54bo4bo$38bo3bo3bo7bob2o2bo$38bo3bo3bo7bobo2b2ob2o$
38bo3bo3bo5bobo7b2o$38bo3bo3bo6bobobo3bo2bo$54bob2o3b3o$59b2ob2o2b2o$
57b2ob2ob2o3bo$57b2ob3o2b3o$59bo2bo3b2o$63bo3b2o$61bob2obob2o$61bob3o
2bo$62bo2b7o$66bob3obo$68b6o$68bobob2o$69b3obo$70b4o$76bo$76bo$75bobo
$78b2o$79b2o$79bo$80bob2o$83bo$82bo$83bobo$82bo2bo$84b2o$87b3o3$88b3o
$90b2o$92b2o$93b2o$93b2o$95bo$96bo$96b2o2$96bo2bo2$97b2ob2o$99bo3bo$104b
o$102b3o!

ConwayLife.com

One-cell growth per generation

Re: Patterns that grow by 1 cell per generation

Re: Patterns that grow by 1 cell per generation

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