Patterns with unusual growth rates

For discussion of other cellular automata.
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muzik
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Patterns with unusual growth rates

Post by muzik » May 5th, 2021, 2:49 am

A thread for patterns that don't fit under the replicators, polynomial growths or logarithmic growths threads.

Two replicator-esque sawtooths:
Linear

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x = 11, y = 11, rule = B2ce3y4e5y6c/S1c2i3ciy4ct5ey6i7e8
5bo$4bobo$5bo$5bo$bo7bo$ob2o3b2obo$bo7bo$5bo$5bo$4bobo$5bo!
Quadratic

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x = 6, y = 5, rule = B2ci3aiy4e5ce6c7c8/S1e2ce3acein4ceit5e6cei7c8
o2$o2$3bobo!

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muzik
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Re: Patterns with unusual growth rates

Post by muzik » May 5th, 2021, 3:27 am

Some more weird growth patterns:

The classical unsolved "logarithmic replicator":

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x = 19, y = 3, rule = B36/S245
6o7b6o$o4bo7bo4bo$b4o9b4o!
AforAmpere wrote:
April 11th, 2020, 11:35 pm
EDIT 2, emulates the B36/S245 replicator:

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x = 3, y = 2, rule = B2a3eny4at/S01c2ci3i4e5e
bo$obo!
Others:
AforAmpere wrote:
December 13th, 2020, 8:36 pm
Very odd growth:

Code: Select all

x = 2, y = 3, rule = B2e3eij4c/S012a3n4i5y
o$bo$o!
Also strange:

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x = 2, y = 3, rule = B3aeij4ir6ci/S12ce3eny4a5i
o$bo$o!
EDIT, this is one of the weirdest things I have seen:

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x = 2, y = 3, rule = B2ei3-jnqy5ij6ci8/S2-ek3ij4i
o$bo$o!
EDIT 3, moves forward seemingly randomly, probably approaches some irrational constant like I suspect a lot of similar things do:

Code: Select all

x = 2, y = 3, rule = B2ek3in4cer6ci/S012ace3aei4aei5e6ci
o$bo$o!
AforAmpere wrote:
April 11th, 2020, 11:35 pm
EDIT, some other weird 3xn things:

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x = 3, y = 2, rule = B2a3ey4ae5e/S01c2c3i4t
bo$obo!
AforAmpere wrote:
December 10th, 2020, 2:48 am
Inexplicable growth where the ratio between expansion times of the end is (1+sqrt(2)), somehow:

Code: Select all

x = 2, y = 3, rule = B2ek3ijy4cet6ci/S012ace3aeny4ce5iy
o$bo$o!
If anyone can show why this happens, please do.

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wwei47
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Re: Patterns with unusual growth rates

Post by wwei47 » May 5th, 2021, 8:24 am

Hm.

Code: Select all

x = 5, y = 1, rule = ampere1d
BA!
@RULE ampere1d
@TABLE
n_states:5
neighborhood:Moore
symmetries:none
var a0={0,1,2,3,4}
var a1=a0
var a2=a1
var a3=a2
var a4=a3
var a5=a4
var a6=a5
var a7=a6
0,0,3,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,3,1
0,1,0,0,0,0,0,0,0,1
0,1,1,0,0,0,0,0,0,1
0,1,0,0,0,0,0,0,1,1
0,1,2,0,0,0,0,0,0,3
0,1,0,0,0,0,0,0,2,3
0,1,3,0,0,0,0,0,0,0
0,1,0,0,0,0,0,0,3,0
0,2,0,0,0,0,0,0,0,2
0,2,1,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,1,2
0,2,2,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,2,2
0,2,3,0,0,0,0,0,0,2
0,2,0,0,0,0,0,0,3,2
0,3,0,0,0,0,0,0,0,2
0,3,1,0,0,0,0,0,0,3
0,3,0,0,0,0,0,0,1,3
0,3,2,0,0,0,0,0,0,2
0,3,0,0,0,0,0,0,2,2
0,3,3,0,0,0,0,0,0,3
0,3,0,0,0,0,0,0,3,3
0,0,2,0,0,0,0,0,1,3
0,0,1,0,0,0,0,0,2,3
0,0,3,0,0,0,0,0,1,1
0,0,1,0,0,0,0,0,3,1
0,1,1,0,0,0,0,0,1,2
0,1,2,0,0,0,0,0,1,3
0,1,1,0,0,0,0,0,2,3
0,2,1,0,0,0,0,0,1,3
0,2,3,0,0,0,0,0,1,3
0,2,1,0,0,0,0,0,3,3
0,3,1,0,0,0,0,0,1,1
0,3,2,0,0,0,0,0,1,1
0,3,1,0,0,0,0,0,2,1
0,1,2,0,0,0,0,0,2,1
0,2,2,0,0,0,0,0,2,4
0,2,3,0,0,0,0,0,2,4
0,2,2,0,0,0,0,0,3,4
0,3,2,0,0,0,0,0,2,4
0,3,3,0,0,0,0,0,2,4
0,3,2,0,0,0,0,0,3,4
0,2,3,0,0,0,0,0,3,4
0,3,3,0,0,0,0,0,3,4
0,0,2,0,0,0,0,0,2,1
0,0,3,0,0,0,0,0,3,1
0,a0,4,0,0,0,0,0,a1,4
0,4,a0,0,0,0,0,0,a1,4
0,a0,a1,0,0,0,0,0,4,4
There's definitely something nested here.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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muzik
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Re: Patterns with unusual growth rates

Post by muzik » May 5th, 2021, 9:58 am

Unusual 2D replicators. They all probably simulate some explosive rules, can anyone figure out if they do?

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x = 5, y = 6, rule = B35a6ae78/S23
2bo$b3o$o3bo$obobo$bobo$2bo!

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x = 7, y = 7, rule = B2-ek/S
obo2$obo2$4bobo2$4bobo!

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x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
bo$3o$bo!

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wwei47
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Re: Patterns with unusual growth rates

Post by wwei47 » May 5th, 2021, 10:04 am

muzik wrote:
May 5th, 2021, 9:58 am
Unusual 2D replicators. They all probably simulate some explosive rules, can anyone figure out if they do?
Try your edge/core rule thing. From what I can tell, the edge and core rules are identical.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

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muzik
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Location: Scotland

Re: Patterns with unusual growth rates

Post by muzik » May 5th, 2021, 10:23 am

From an old replicator thread of mine:

A replicator that could possibly be considered as simulating either Rule 1839132 (allowing non-integer ranges) or Rule 1208925819614629174771760 (forcing symmetry), at least for one copy; haven't tried multiple. I haven't checked, but some or all of the above three 2D replicators may be operating on this.

Code: Select all

x = 1, y = 5, rule = B2ei3aein4e5e/S1e2aek3-cein4ikz
o$o$o$o$o!
Unknown:

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x = 3, y = 2, rule = B2a3j4i/S1e2k
3o$3o!

Code: Select all

x = 1, y = 2, rule = B2a3j4i/S1e3a4ar
o$o!

Code: Select all

x = 1, y = 2, rule = B2ac4i5y/S2i4t
o$o!

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x = 1, y = 5, rule = B2ae3n6i/S1e2n3r
o$o2$o$o!
1D multistate rule that simulates the above:

Code: Select all

x = 1, y = 1, rule = Undetermined_1
F!

AforAmpere
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Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » May 5th, 2021, 5:34 pm

Very unusual growth, but may be asymptotic to sqrt. I am not at all confident about that, though.

Code: Select all

x = 2, y = 3, rule = B3-cjkq4ceit5i6c/S012c3j4a5eiy6ci
o$bo$o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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wwei47
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Re: Patterns with unusual growth rates

Post by wwei47 » May 5th, 2021, 5:51 pm

AforAmpere wrote:
May 5th, 2021, 5:34 pm
Very unusual growth, but may be asymptotic to sqrt. I am not at all confident about that, though.
Is that a Turing machine? :o
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » May 5th, 2021, 7:13 pm

wwei47 wrote:
May 5th, 2021, 5:51 pm
Is that a Turing machine? :o
It looks like it, yeah.

log_phi(t):

Code: Select all

x = 2, y = 3, rule = B2ek3aijy4ae5e6ci/S012ace3iny4cei5e6ci
o$bo$o!
Last edited by AforAmpere on May 5th, 2021, 9:19 pm, edited 1 time in total.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
wwei47
Posts: 1651
Joined: February 18th, 2021, 11:18 am

Re: Patterns with unusual growth rates

Post by wwei47 » May 5th, 2021, 8:17 pm

AforAmpere wrote:
May 5th, 2021, 7:13 pm
Phi^t:
Isn't the limit t^2? I think this is log base phi of t.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » May 5th, 2021, 9:19 pm

wwei47 wrote:
May 5th, 2021, 8:17 pm
Isn't the limit t^2? I think this is log base phi of t.
I was putting the time to expand outward, but yeah, log_phi(t) is probably better to put there. I'll change that.

Another log_phi(t):

Code: Select all

x = 2, y = 58, rule = B2cek3ajy4ai5iy7e/S01e2ik3jnr4ar5y6ci7e
o$bo$o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

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muzik
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Location: Scotland

Re: Patterns with unusual growth rates

Post by muzik » May 6th, 2021, 3:59 am

Wouldn't those fit better in the log counting patterns thread if they're counting in base phi?

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » June 29th, 2021, 2:54 am

Bounding box somehow grows with O(t^(ln(2)/ln(5))):

Code: Select all

x = 2, y = 3, rule = B2e3ij4et5ey6c/S012aci3j4cit5e
o$bo$o!
(t/0.31)^(ln(2)/ln(5)) is a fairly good approximation of the width at time t, when the first dots a the end are placed when length doublings happen.

EDIT, here's a similar one following O(t^(ln(2)/ln(3))):

Code: Select all

x = 2, y = 3, rule = B2e3ij4cet5y6c/S012ac3j4ci5ey
o$bo$o!
EDIT 2
And another of the same, except the intervals are more exact. There is a phase with the o$bo$o and a dot for integer n, for all t=8*3^n, n>=0:

Code: Select all

x = 2, y = 3, rule = B2e3ij4cet5y6c/S012ac3j4aci5eiy6c
o$bo$o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » October 4th, 2021, 4:25 pm

Pretty unusual ones:

Code: Select all

x = 2, y = 4, rule = B2e3aeij4r5ry6k/S1e2k3a4a5iq6ac
o$bo$bo$o!

Code: Select all

x = 2, y = 4, rule = B2ei3aeij4ar5ry6i/S1e2k3aj4a5i6ac
o$bo$bo$o!
The top seems to have a ratio between identical successive pushes forward of 1.722083, wherever that comes from. For the bottom, I have no idea.

Other uncommon ratios between identical push times of 3 and 8:

Code: Select all

x = 2, y = 4, rule = B2ek3aijnr4n5ry6k/S1e2k3nr4a5jq6a
o$bo$bo$o!

Code: Select all

x = 2, y = 4, rule = B2eik3aijn5iry6k/S1e2k3jr4a5jq7c
o$bo$bo$o!
Not sure what this is either:

Code: Select all

x = 2, y = 4, rule = B2e3aijr5iry/S1e2ik3a4a5q6a
o$bo$bo$o!
EDIT, this one follows width = 5*log_(2+sqrt(3))(t)-1.78:

Code: Select all

x = 2, y = 4, rule = B2e3aijr5iry/S1e2eik3aj4a6a
o$bo$bo$o!
EDIT 2, even more crazy, width = 2*log_1.4655712(t)-5.1, where 1.4655712 is the root of x^3-x^2-1

Code: Select all

x = 2, y = 4, rule = B2e3aein4ar5ir6i/S1c2aik3aj4qr5jq6c
o$bo$bo$o!
EDIT 3, follows log_p(t), where p is the plastic number:

Code: Select all

x = 2, y = 4, rule = B2k3aijn4aw5r6ik/S012ak3anr4a5j
o$bo$bo$o!
EDIT 4, cbrt width, but also moves to the right, increasingly slowly:

Code: Select all

x = 2, y = 4, rule = B3aij4an5ry6ik/S12-in3n4ar7e
o$bo$bo$o!
EDIT 5, approaches something like log_1.945(t), not really sure what the constant is:

Code: Select all

x = 2, y = 3, rule = B2e3ijy4cet6i/S012aci3ijy4cet5e
o$bo$o!
EDIT 6, bounding box follows 4*log_((sqrt(17)+3)/2)(t)-2.47:

Code: Select all

x = 2, y = 3, rule = B2ek3ijn4ce6i/S012ac3e4act5ei6c
o$bo$o!
EDIT 7, 10/27/21, bounding box follows 8*log_((5+sqrt(17))/2)(t)+3.85:

Code: Select all

x = 1, y = 4, rule = B2e3ainq4a/S12ik3j4a6a
o$o$o$o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: Patterns with unusual growth rates

Post by AforAmpere » September 10th, 2023, 7:08 pm

Probably reasonable to double post after 2 years, t^log_6(2) or t^(ln(2)/ln(6)) if I'm using the way I did it further up:

Code: Select all

x = 2, y = 3, rule = B2cei3an4ait6c7e8/S01e2ae3i4ae5iy6i7e8
o$bo$o!
It looks a lot like the 'logarithmic' replicator, but is slightly different in mechanism, which leads to the different rate.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

User avatar
NimbleRogue
Posts: 524
Joined: January 11th, 2021, 11:48 pm

Re: Patterns with unusual growth rates

Post by NimbleRogue » February 4th, 2024, 11:51 pm

Can someone help me figure out the growth rate of this wickclimber, it is incredible?

Code: Select all

x = 10, y = 101, rule = B3aij4ce5ey6-ac8/S2en3-cry4-ckqry5-aky6cik7e8
2o$2o2$2bo$3bo4b2o$8b2o$4bo$3b3o$2b5o$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$
4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$
4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$
3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o
$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo
$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo$3b3o$4bo$4bo
$3b3o$3b3o2$3b2o$3b2o!
Here are a few generations of it laid out, and my attempt to categorize them

Code: Select all

1,2,3,4,3,5,6,5,7,8,1,2,3,9,1,2,3,9,1,2,3,4,3,7,8,9,1,2,3,9,1,2,3,9,1,2,3,4,3,7,8,9,1,2,3,9,1,2,3,10,1,2,3,4,3,5,6,3,5,7,8,1,2,3,9,1,2,3,9,1,2,3,4,3,7,8,9,1,2,3,9,1,2,3,11

Code: Select all

x = 1707, y = 111, rule = B3aij4ce5ey6-ac8/S2en3-cry4-ckqry5-aky6cik7e8
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o$2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o
18b2o$24bo199bo79bo79bo159bo79bo79bo159bo79bo79bo219bo79bo79bo159bo79b
o$2bo199bo79bo79bo159bo79bo79bo159bo79bo79bo219bo79bo79bo159bo79bo$3b
o4b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b
2o13bo4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o13b
o4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o18b
2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o13bo4b
2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o
18b2o13bo4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o18b2o18b2o18b2o18b
2o13bo4b2o18b2o18b2o18b2o13bo4b2o18b2o18b2o18b2o$8b2o18b2o14bo3b2o12b
o5b2o14bo3b2o18b2o18b2o18b2o18b2o18b2o18b2o18b2o14bo3b2o18b2o18b2o18b
2o14bo3b2o18b2o18b2o18b2o14bo3b2o12bo5b2o14bo3b2o18b2o18b2o18b2o18b2o
18b2o14bo3b2o18b2o18b2o18b2o14bo3b2o18b2o18b2o18b2o14bo3b2o12bo5b2o14b
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There also is a long section where the ribs get closer together which looks completely different from the other sections, even though close ribs appear in other sections.
By mapping out where the ships are shot out you get this, which is confusing, because according to this the reaction repeats every 14 cells, despite the main wick, and the wick stretcher repeating every 3 cells, and the leading "bit" being 6 cells

Code: Select all

x = 246, y = 54, rule = B3aij4ce5ey6-ac8/S2en3-cry4-ckqry5-aky6cik7e8History
3.2A$3.2A3.2A$2B6.2A$7B$10B$11B17.2A$10B18.2A3.2A$27B6.2A$32B$35B$36B
$35B3$73.2A$73.2A3.2A$72B6.2A$77B$80B$81B17.2A$80B18.2A3.2A$97B6.2A$
102B$105B$106B$105B3$143.2A$143.2A3.2A$142B6.2A$147B$150B$151B17.2A$
150B18.2A3.2A$167B6.2A$172B$175B$176B$175B3$213.2A$213.2A3.2A$212B6.
2A$217B$220B$221B17.2A$220B18.2A3.2A$237B6.2A$242B$245B$246B$245B!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo$3b4o$ob6obo$2b6o!

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LaundryPizza03
Posts: 2296
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Re: Patterns with unusual growth rates

Post by LaundryPizza03 » March 23rd, 2024, 3:32 am

NimbleRogue wrote:
February 4th, 2024, 11:51 pm
<long post>
The pattern breaks after approximately 3.25M generations, leaving 3 blocks and 9162 of the ships.

Code: Select all

x = 560, y = 536, rule = B3aij4ce5ey6-ac8/S2en3-cry4-ckqry5-aky6cik7e8
265bo3bobo3bob5o2b3o2b5obo5b5ob4o$265bo3bob2o2bo3bo5bo5bo3bo5bo5bo3bo$
265bo3bobobobo3bo5bo5bo3bo5bo5bo3bo$265bo3bobo2b2o3bo5bo5bo3bo5b3o3bo
3bo$265bo3bobo3bo3bo5bo5bo3bo5bo5bo3bo$265bo3bobo3bo3bo5bo5bo3bo5bo5bo
3bo$266b3o2bo3bo3bo4b3o4bo3b5ob5ob4o8$5o2b3o2b5o2b3o3b3o$o5bo3bo5bobo
5bo3bo$o5bo3bo4bo2bo5bo2b2o$b3o3b4o3bo3b4o2bobobo10bo386bo$4bo5bo2bo4b
o3bob2o2bo10bo385b2o$o3bo5bobo5bo3bobo3bo10bo385b115o$b3o3b3o2bo6b3o3b
3o11bo384b2o$39bo383b2o$39bo382b2o$39bo382bo$39bo381b2o$39bo380b2o$39b
o379b2o$39bo379bo$39bo378b2o$39bo377b2o$39bo376b2o$39bo375b2o$39bo375b
o$39bo374b2o$39bo373b2o$39bo372b2o$39bo372bo$39bo371b2o$39bo370b2o$39b
o369b2o$39bo368b2o$39bo368bo$39bo367b2o$39bo366b2o$39bo365b2o$39bo365b
o$39bo364b2o$39bo363b2o$39bo362b2o$39bo361b2o$39bo361bo$39bo360b2o$39b
o359b2o$39bo358b2o$39bo358bo$39bo357b2o$39bo356b2o$39bo355b2o$39bo354b
2o$39bo354bo$39bo353b2o$39bo352b2o$39bo351b2o$39bo351bo$39bo350b2o$39b
o349b2o$39bo348b2o$39bo348bo$39bo347bo$39bo346b2o$39bo345b2o$39bo344b
2o$39bo344b2o$39bo343b2o$39bo342b2o$39bo341b2o$39bo340b2o$39bo340bo$
39bo339b2o$39bo338b2o$39bo337b2o$39bo337bo$39bo336b2o$39bo335b2o$39bo
334b2o$39bo334bo$39bo333bo$39bo332b2o$39bo331b2o$39bo330b2o$39bo330b2o
$39bo329b2o$39bo328b2o$39bo327b2o$39bo327bo$39bo326bo$39bo325b2o$39bo
324b2o$39bo323b2o$39bo323b2o$39bo322b2o$39bo321b2o$39bo320b2o$39bo320b
2o$39bo319b2o$39bo318b2o$39bo317b2o$39bo316b2o$39bo316bo$39bo315b2o$
39bo314b2o$39bo313b2o$39bo313bo$39bo312b2o$39bo311b2o$39bo310b2o$39bo
309b2o$39bo309bo$39bo308b2o$39bo307b2o$39bo306b2o$39bo306bo$39bo305bo$
39bo304b2o$39bo303b2o$39bo303bo$39bo302bo$39bo301b2o$39bo300b2o$39bo
299b2o$39bo299bo$39bo298b2o$39bo297b2o$39bo296b2o$39bo296bo$39bo295bo$
39bo294b2o$39bo293b2o$39bo292b2o$39bo292bo$39bo291b2o$39bo290b2o$39bo
289b2o$39bo289bo$39bo288b2o$39bo287b2o$39bo286b2o$39bo285b2o$39bo285bo
$39bo284b2o$39bo283b2o$39bo282b2o$39bo282bo$39bo281b2o$39bo280b2o$39bo
279b2o$39bo278b2o$39bo278bo$39bo277b2o$39bo276b2o$39bo275b2o$39bo275bo
$39bo274b2o$39bo273b2o$39bo272b2o$39bo271b2o$39bo271bo$39bo270b2o$39bo
269b2o$39bo268b2o$39bo268bo$39bo267b2o$39bo266b2o$39bo265b2o$39bo265bo
$39bo264bo$39bo263b2o$39bo262b2o$39bo262bo$39bo261b2o$39bo260b2o$39bo
259b2o$39bo258b2o$39bo257b2o$39bo257bo$39bo256b2o$39bo255b2o$39bo254b
2o$39bo254bo$39bo253b2o$39bo252b2o$39bo251b2o$39bo250b2o$39bo250bo$39b
o249b2o$39bo248b2o$39bo247b2o$39bo247bo$39bo246b2o$39bo245b2o$39bo244b
2o$39bo244bo$39bo243b2o$39bo242b2o$39bo241b2o$39bo240b2o$39bo240bo$39b
o239b2o$39bo238b2o$39bo237b2o$39bo237bo$39bo236b2o$39bo235b2o$39bo234b
2o$39bo233b2o$39bo233bo$39bo232b2o$39bo231b2o$39bo230b2o$39bo230b2o$
39bo229bo$39bo228b2o$39bo227b2o$39bo226b2o$39bo226bo$39bo225b2o$39bo
224b2o$39bo223b2o$39bo223bo$39bo222bo$39bo221b2o$39bo220b2o$39bo219b2o
$39bo219bo$39bo218b2o$39bo217b2o$39bo216b2o$39bo216bo$22b7o10bo215b2o$
25bo13bo214b2o$24bo14bo213b2o$23bo15bo213bo$22b7o10bo212bo$39bo211b2o$
23b5o11bo210b2o$22bo5bo10bo209b2o$22bo5bo10bo209bo$22bo5bo10bo208b2o$
23b5o11bo207b2o$39bo206b2o$39bo206bo$22bo5bo10bo205bo$22b7o10bo204b2o$
22bo5bo10bo203b2o$39bo202b2o$39bo202bo$22bo16bo201b2o$22bo16bo200b2o$
22b7o10bo199b2o$22bo16bo199bo$22bo16bo198b2o$39bo197b2o$23b6o10bo196b
2o$22bo2bo13bo195b2o$22bo2bo13bo195bo$22bo2bo13bo194b2o$23b6o10bo193b
2o$39bo192b2o$28bo10bo192bo$28bo10bo191bo$28bo10bo190b2o$28bo10bo189b
2o$22b7o10bo188b2o$39bo188b2o$22b6o11bo187b2o$28bo10bo186b2o$28bo10bo
185b2o$28bo10bo185bo$22b6o11bo184b2o$39bo183b2o$23b2o14bo182b2o$22bo2b
o13bo181b2o$22bo2bo13bo181b2o$22bo2bo13bo180b2o$22b7o10bo179b2o$39bo
178b2o$23b5o11bo178bo$22bo5bo10bo177b2o$22bo5bo10bo176b2o$22bo5bo10bo
175b2o$23b5o11bo174b2o$39bo174b2o$23b2o14bo173b2o$22bo2bo13bo172b2o$
22bo2bo13bo171b2o$22bo2bo13bo171bo$22b7o10bo170b2o$39bo169b2o$39bo168b
2o$39bo167b2o$39bo167b2o$39bo166b2o$39bo165b2o$39bo164b2o$39bo164bo$
39bo163b2o$39bo162b2o$39bo161b2o$39bo160b2o$39bo160b2o$39bo159b2o$39bo
158b2o$39bo157b2o$39bo157bo$39bo156b2o$39bo155b2o$39bo154b2o$39bo154bo
$39bo153b2o$39bo152b2o$39bo151b2o$39bo150b2o$39bo150bo$39bo149b2o$39bo
148b2o$39bo147b2o$39bo147bo$39bo146b2o$39bo145b2o$39bo144b2o$39bo144bo
$39bo143b2o$39bo142b2o$39bo141b2o$39bo140b2o$39bo140bo$39bo139bo$39bo
138b2o$39bo137b2o$39bo137b2o$39bo136b2o$39bo135b2o$39bo134b2o$39bo133b
2o$39bo133bo$39bo132b2o$39bo131b2o$39bo130b2o$39bo129b2o$39bo129b2o$
39bo128b2o$39bo127b2o$39bo126b2o$39bo126bo$39bo125b2o$39bo124b2o$39bo
123b2o$39bo122b2o$39bo122b2o$39bo121b2o$39bo120b2o$39bo120bo$39bo119bo
$39bo118b2o$39bo117b2o$39bo116b2o$39bo116bo$39bo115bo$39bo114b2o$39bo
113b2o$39bo112b2o$39bo112b2o$39bo111b2o$39bo110b2o$39bo109b2o$39bo109b
o$39bo108b2o$39bo107b2o$39bo106b2o$39bo105b2o$39bo105bo$39bo104b2o$39b
o103b2o$39bo102b2o$39bo102bo$39bo101b2o$39bo100b2o$39bo99b2o$39bo98b2o
$39bo98bo$39bo97b2o$39bo96b2o$39bo95b2o$39bo95bo$39bo94b2o$39bo93b2o$
39bo92b2o$39bo91b2o$39bo91b2o$39bo90b2o$39bo89b2o$39bo88b2o$39bo88bo$
39bo87b2o$39bo86b2o$39bo85b2o$39bo84b2o$39bo84bo$39bo83b2o$39bo82b2o$
39bo81b2o$39bo81bo$39bo80b2o$39bo79b2o$39bo78b2o$39bo78bo$39bo77b2o$
39bo76b2o$39bo75b2o$39bo74b2o$39bo74b2o$39bo73b2o$39bo72b2o$39bo71b2o$
39bo71bo$39bo70b2o$39bo69b2o$39bo68b2o$39bo68bo$39bo67bo$39bo66b2o$39b
o65b2o$39bo64b2o$39bo64b2o$39bo63b2o$39bo62b2o$39bo61b2o$39bo60b2o$39b
o60b2o$39bo59b2o$39bo58b2o$39bo57b2o$39bo57bo$39bo56b2o$39bo55b2o$39bo
54b2o$39bo53b2o$39bo53b2o$39bo52b2o$39bo51b2o$39bo50b2o$39bo50bo$39bo
49b2o$39bo48b2o$39bo47b2o$39bo47bo$39bo46bo$39bo45b2o$39bo44b2o$39bo
43b2o$39bo43bo$39bo42b2o$39bo41b2o$39bo40b2o$39bo40bo$39bo39b2o$39bo
38b2o$39bo37b2o$39bo36b2o$39bo36b2o$39bo35b2o$39bo34b2o$39bo33b2o$39bo
33bo$39bo32b2o$39bo31b2o$39bo30b2o$39bo29b2o$39bo29bo$39bo28b2o$39bo
27b2o$39bo26b2o$39bo25b2o$39bo25b2o$39bo24b2o$39bo23b2o$39bo23bo$39bo
22bo$39bo21b2o$39bo20b2o$39bo19b2o$39bo19bo$39bo18b2o$39bo17b2o$39bo
16b2o$39bo16bo$39bo15bo$39bo14b2o$39bo13b2o$39bo12b2o$39bo12b2o$39bo
11b2o$39bo10b2o$39bo9b2o$39bo8b2o$39bo8bo$39bo7b2o$39bo6b2o$39bo5b2o$
39bo5bo$39bo4b2o$39bo3b2o$39bo2b2o$15bo3b5o4bo10bob2o$14b2o7bo3b2o10bo
b2o$15bo6bo3bobo10b3o$15bo5bo3bo2bo10b2o$15bo4bo4b5o9b501o$15bo3bo8bo$
14b3o2bo8bo8$37b3o188b3o2b5obo3bob5ob4o3b3o2b5o2b3o3b3o2bo3bo10bo33b3o
4bo4b3o3bo173bo4bo4b3o5bo3b3o3b3o5bo$36bo3bo186bo3bobo5b2o2bobo5bo3bob
o3bo3bo5bo3bo3bob2o2bo9bo11bo21bo3bo2bobo2bo3bo3bo171b2o3b2o3bo3bo3b2o
2bo3bobo3bo3b2o$36bo2b2o186bo5bo5bobobobo5bo3bobo3bo3bo5bo3bo3bobobobo
9bo4b4ob5o2b3o2b4o2b5obo3bobo3bo5bo3bo170bobo4bo3bo3bo2bobo6bobo2b2o2b
obo$36bobobo186bo2b2ob3o3bo2b2ob3o3b4o2b5o3bo5bo3bo3bobo2b2o9bo3bo7bo
3bo3bobo3bo8b3o10b2o4bo169bo2bo4bo4b4obo2bo4b2o2bobobobo2bo$36b2o2bo
186bo3bobo5bo3bobo5bo2bo2bo3bo3bo5bo3bo3bobo3bo9bo4b3o4bo3b5obo3bob5ob
o3bo11bo3bo169b5o3bo7bob5o5bob2o2bob5o$36bo3bo186bo3bobo5bo3bobo5bo3bo
bo3bo3bo5bo3bo3bobo3bo9bo7bo3bo3bo5bo3bo7bo3bo7bo3bo3bo172bo4bo7bo4bo
2bo3bobo3bo4bo$37b3o188b3o2b5obo3bob5obo3bobo3bo3bo4b3o3b3o2bo3bo10bo
2b4o5b2o2b4ob4o9b3o9b3o3bo173bo3b3o3b3o5bo3b3o3b3o5bo$317bo$317bo!

Code: Select all

#C Generation 4194304
x = 2097045, y = 101, rule = B3aij4ce5ey6-ac8/S2en3-cry4-ckqry5-aky6cik7e8
2o$2o3$8b2o$8b2o14$474110bo936bo3882bo936bo4714bo936bo3850bo936bo936bo
3814bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo
936bo4714bo936bo3850bo936bo936bo4380bo936bo4714bo936bo3850bo936bo936bo
4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo3191b
o936bo3882bo936bo4714bo936bo3850bo936bo936bo4348bo936bo4714bo936bo
3850bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo
936bo4714bo936bo3850bo936bo936bo5212bo936bo2620bo936bo936bo2982bo936bo
936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo
936bo3850bo936bo936bo5212bo936bo2620bo936bo936bo2945bo936bo936bo3777bo
936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo
936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo
936bo3191bo936bo4746bo936bo2620bo936bo936bo2945bo936bo936bo3777bo936bo
936bo4751bo936bo4714bo936bo3850bo936bo936bo4348bo936bo4714bo936bo3850b
o936bo936bo3777bo936bo936bo5578bo936bo3191bo936bo3882bo936bo4714bo936b
o3850bo936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936b
o5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936b
o5212bo936bo2620bo936bo936bo2945bo936bo936bo3777bo936bo936bo5578bo936b
o2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo4348bo936b
o4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo3191bo936bo
4746bo936bo2620bo936bo936bo2945bo936bo936bo3777bo936bo936bo4783bo936bo
4714bo936bo3850bo936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo3777b
o936bo936bo5578bo936bo3191bo936bo3882bo936bo4714bo936bo3850bo936bo936b
o4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo
2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo5212bo936bo
2620bo936bo936bo3516bo936bo3882bo936bo4714bo936bo3850bo936bo936bo3814b
o936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo
4714bo936bo3850bo936bo936bo5212bo936bo2620bo936bo936bo2945bo936bo936bo
3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo936bo
3850bo936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo
5578bo936bo3191bo936bo3882bo936bo4714bo936bo3850bo936bo936bo4348bo936b
o4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936b
o3777bo936bo936bo4714bo936bo3850bo936bo936bo5212bo936bo2620bo936bo936b
o3516bo936bo3882bo936bo4714bo936bo3850bo936bo936bo4385bo936bo3882bo
936bo4714bo936bo3850bo936bo936bo3814bo936bo936bo3777bo936bo936bo5578bo
936bo2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo4380bo
936bo4714bo936bo3850bo936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo
3777bo936bo936bo5578bo936bo3191bo936bo3882bo936bo4714bo936bo3850bo936b
o936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936b
o2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo5212bo936b
o2620bo936bo936bo3516bo936bo3882bo936bo4714bo936bo3850bo936bo936bo
3814bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo
936bo4714bo936bo3850bo936bo936bo5212bo936bo2620bo936bo936bo2945bo936bo
936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo
936bo3850bo936bo936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo
936bo5578bo936bo3191bo936bo3882bo936bo4714bo936bo3850bo936bo936bo4348b
o936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936b
o936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo5212bo936bo2620bo936b
o936bo3516bo936bo3882bo936bo4714bo936bo3850bo936bo936bo3814bo936bo936b
o3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo936b
o3850bo936bo936bo5212bo936bo2620bo936bo936bo2945bo936bo936bo3777bo936b
o936bo5578bo936bo2620bo936bo936bo3777bo936bo936bo4714bo936bo3850bo936b
o936bo4348bo936bo4714bo936bo3850bo936bo936bo3777bo936bo936bo5578bo936b
o3191bo936bo3882bo936bo4714bo936bo3850bo936bo936bo4348bo936bo4714bo
936bo3850bo936bo936bo3777bo936bo936bo5578bo936bo2620bo936bo936bo3777bo
936bo936bo4714bo936bo3850bo936bo936bo5212bo936bo2620bo936bo936bo3516bo
936bo3882bo936bo4714bo936bo3850bo936bo936bo4385bo936bo3882bo936bo4714b
o936bo3850bo936bo936bo3814bo936bo936bo3777bo936bo936bo5578bo936bo2620b
o936bo936bo3777bo936bo936bo4714bo936bo3850bo936bo936bo$471586bo533bo
356b3o577bo356b3o614bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo
356b3o939bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo
533bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o907bo79bo299bo
556bo79bo299bo556bo79bo959bo570bo356b3o577bo356b3o907bo79bo299bo556bo
79bo299bo556bo79bo959bo533bo356b3o577bo356b3o907bo79bo299bo556bo79bo
299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo863bo533bo79bo
299bo556bo79bo336bo356b3o577bo356b3o907bo79bo299bo556bo79bo299bo556bo
79bo959bo533bo356b3o577bo356b3o907bo79bo299bo556bo79bo299bo556bo79bo
629bo356b3o577bo356b3o577bo356b3o1237bo533bo79bo299bo556bo79bo629bo
356b3o577bo356b3o577bo356b3o907bo79bo299bo556bo79bo299bo556bo79bo959bo
863bo533bo356b3o577bo356b3o646bo79bo299bo556bo79bo629bo356b3o577bo356b
3o577bo356b3o1237bo533bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo
356b3o907bo79bo299bo556bo79bo299bo556bo79bo959bo863bo533bo356b3o577bo
356b3o614bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo
533bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o907bo79bo299bo
556bo79bo299bo556bo79bo959bo533bo356b3o577bo356b3o907bo79bo299bo556bo
79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo863bo533bo79b
o299bo556bo79bo666bo533bo356b3o577bo356b3o614bo79bo299bo556bo79bo629bo
356b3o577bo356b3o577bo356b3o939bo79bo299bo556bo79bo629bo356b3o577bo
356b3o577bo356b3o1237bo533bo79bo299bo556bo79bo629bo356b3o577bo356b3o
577bo356b3o907bo79bo299bo556bo79bo299bo556bo79bo959bo863bo533bo356b3o
577bo356b3o614bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o
1237bo533bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o907bo79b
o299bo556bo79bo299bo556bo79bo959bo533bo356b3o577bo356b3o907bo79bo299bo
556bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo863bo
533bo79bo299bo556bo79bo336bo356b3o577bo356b3o907bo79bo299bo556bo79bo
299bo556bo79bo959bo533bo356b3o577bo356b3o907bo79bo299bo556bo79bo299bo
556bo79bo629bo356b3o577bo356b3o577bo356b3o1237bo533bo79bo299bo556bo79b
o629bo356b3o577bo356b3o577bo356b3o907bo79bo299bo556bo79bo299bo556bo79b
o959bo863bo533bo356b3o577bo356b3o944bo533bo79bo299bo556bo79bo336bo356b
3o577bo356b3o907bo79bo299bo556bo79bo299bo556bo79bo698bo356b3o577bo356b
3o907bo79bo299bo556bo79bo299bo556bo79bo959bo533bo356b3o577bo356b3o907b
o79bo299bo556bo79bo299bo556bo79bo629bo356b3o577bo356b3o577bo356b3o
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219344b2o219344b2o2$534467bo123519b3o792145bo$534468bo123519b2o792146b
o$534468b2o123518b2o792146b2o$534467b2o915666b2o11$1022376bo$1022377bo
$1022377b2o$1022376b2o7$471074b3o$471075b2o$471075b2o6$3b2o$3b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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