Slowest one cell spaceships of each state count

For discussion of other cellular automata.
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Hunting
Posts: 4401
Joined: September 11th, 2017, 2:54 am

Re: Slowest one cell spaceships of each state count

Post by Hunting »

gameoflifemaniac wrote: May 25th, 2020, 11:07 am
Hunting wrote: May 25th, 2020, 10:22 am
gameoflifemaniac wrote: May 25th, 2020, 10:16 am

Where did you even get the search program
What do you mean by "get the search program" and which program?
blah gave no link to epsrc I have seen but you still got it.
I wrote:My program
I wrote:I just implemented it. Unfortunately it seems to be inefficient.
I have my own program (which seems to become a bit outdated after my midterm exam).
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gameoflifemaniac
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

New slowest ship record, c/576:

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x = 1, y = 1, rule = MAPhhPAmAASJAAAQgAACQAAAAEAAACAAAEACAAEAAAAAAAAAAAAEAAAAAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
EDIT: c/596:

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x = 1, y = 1, rule = MAPhhPAmAASJAQAQgAACQCAAAEAAACAAAEACAAEAAAAAAAAAAAAEAAAAAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
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I was so socially awkward in the past and it will haunt me for the rest of my life.

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b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o!
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gameoflifemaniac
Posts: 1249
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

New slowest ship record, c/714:

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#C by gameoflifemaniac and blah
x = 1, y = 1, rule = MAPhhPAmAASJAQAQgAACQCAAAEAAACAABEACAAEAAAAAAAAAQAAEAAAAAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
I was so socially awkward in the past and it will haunt me for the rest of my life.

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b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o!
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toroidalet
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Re: Slowest one cell spaceships of each state count

Post by toroidalet »

New record slowest ship:

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@RULE 1C3SShip2
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
#delay
2,0,0,0,0,0,1,0,0,1
1,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,2,0,0,1
1,0,0,0,0,0,2,0,0,0
0,2,1,2,2,0,0,0,1,2
#leftward expansion
0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,1,2,0,0,2
0,0,0,2,1,2,0,0,0,1
2,0,0,0,2,1,2,0,0,0
2,1,0,1,2,0,0,0,0,1
1,0,0,0,1,1,0,0,0,0
1,1,0,1,2,0,0,0,0,2
0,0,1,1,0,0,0,0,0,2
0,0,0,1,1,0,0,0,0,1
2,1,0,2,0,0,0,0,0,1
2,0,0,0,0,1,2,0,0,0
1,1,0,2,0,0,0,0,0,2
1,0,0,0,2,1,0,0,0,0
#downward expansion
0,1,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,2
0,2,0,0,0,0,0,2,1,1
2,0,0,0,0,0,2,1,2,0
2,1,2,1,0,0,0,0,2,1
2,0,0,0,0,1,2,1,0,0
1,0,0,0,0,0,0,1,1,0
2,1,0,1,0,0,0,0,1,1
1,1,0,1,0,0,0,0,2,2
0,1,1,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,1,1
2,2,0,1,0,0,0,0,0,1
1,2,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,1,2,0
0,0,0,0,0,2,1,0,0,2
2,0,0,0,0,2,1,0,0,0
#downward stop
0,1,0,0,0,0,2,1,0,1
1,0,0,0,0,0,2,1,0,2
2,0,0,0,0,0,2,1,0,0
0,2,0,0,0,1,1,2,2,2
2,1,0,2,0,2,0,0,1,1
2,0,0,0,0,0,2,2,1,0
0,2,0,0,0,1,2,2,2,2
2,0,0,0,0,1,1,2,1,0
2,1,0,2,1,1,0,0,0,1
1,2,2,1,0,0,0,0,0,2
1,2,0,0,0,0,0,1,2,2
2,1,0,2,1,2,0,0,0,1
2,0,0,0,0,1,2,2,1,0
1,2,0,0,0,0,0,2,2,0
2,2,1,1,0,0,0,0,0,0
1,1,0,0,0,0,0,2,2,0
0,0,0,2,2,1,2,1,1,1
1,0,0,0,2,1,2,1,1,2
2,1,2,1,0,0,0,0,0,0
1,2,0,2,0,0,0,2,1,0
0,0,0,0,0,2,1,1,0,2
1,1,0,2,1,2,0,0,1,0
2,0,0,0,2,1,2,1,1,0
2,0,1,0,0,0,0,1,2,0
#downward counting
0,1,0,0,0,0,1,1,0,2
1,1,0,0,0,0,2,1,1,0
0,0,2,0,0,0,1,2,2,1
0,0,0,0,0,1,1,1,1,1
0,0,2,0,0,0,2,1,1,1
0,2,0,0,0,1,2,2,1,1
0,0,2,0,0,0,2,2,2,1
1,1,0,1,0,1,0,0,1,2
1,1,0,0,0,0,2,2,2,0
1,1,0,0,0,0,1,2,2,0
1,0,0,0,0,0,2,2,1,0
1,0,0,0,0,0,1,2,1,0
1,1,0,0,0,0,1,1,1,0
0,0,2,0,0,0,1,1,1,1
0,0,0,0,0,0,2,0,2,1
1,0,0,0,0,2,0,0,1,0
2,0,0,0,0,0,1,1,0,0
1,1,2,0,0,1,0,0,1,2
0,2,0,0,0,0,1,2,1,2
2,0,0,0,0,0,1,2,1,0
2,1,0,2,0,1,0,0,2,1
1,2,2,0,0,1,0,0,0,2
1,1,2,0,0,2,0,0,1,2
0,2,0,0,0,0,2,2,1,2
0,2,0,0,0,0,1,2,2,2
2,1,0,2,0,1,0,0,0,1
1,2,2,0,0,2,0,0,0,2
0,2,0,0,0,0,2,2,2,2
2,1,0,2,0,2,0,0,0,1
0,2,0,0,0,0,0,2,2,2

2,0,0,0,0,0,0,1,1,1
2,0,1,2,0,0,0,0,0,0
2,1,0,0,0,0,0,2,0,1
2,1,1,1,0,0,0,0,2,0
1,1,0,0,0,0,0,2,1,0
1,0,0,0,0,0,0,2,0,2
0,0,2,0,0,0,1,1,2,1
1,1,0,0,1,2,0,2,0,2
#upward signal
0,0,1,1,2,2,0,0,0,2
0,0,1,1,1,2,0,0,0,2
0,0,2,1,1,2,0,0,0,2
0,0,2,2,1,2,0,0,0,2
0,0,2,2,2,2,0,0,0,2
0,0,2,1,2,2,0,0,0,2
0,0,1,2,1,2,0,0,0,2
0,0,1,2,2,2,0,0,0,2
2,0,1,1,1,0,0,0,0,0
2,0,1,1,2,0,0,0,0,0
2,0,1,2,1,0,0,0,0,0
2,0,1,2,2,0,0,0,0,0
2,0,2,1,1,0,0,0,0,0
2,2,2,1,2,0,0,0,0,0
2,0,2,2,1,0,0,0,0,0
2,0,2,2,2,0,0,0,0,0
2,1,0,0,0,1,0,2,0,1
2,2,0,0,0,1,0,2,0,1
0,1,1,2,1,2,0,0,2,1
0,1,1,1,2,2,0,0,1,1
1,1,1,2,2,0,0,0,2,2
0,2,1,2,0,0,0,0,1,2
2,1,0,2,0,2,2,0,1,1
2,1,0,2,0,1,0,2,0,1
2,1,1,0,1,1,0,1,1,1
1,1,2,0,0,2,0,1,1,2
1,1,0,0,0,2,0,1,1,2
1,0,1,2,1,0,1,0,0,2
2,2,2,0,0,1,0,0,2,1
1,0,0,1,2,1,0,1,0,2
2,0,0,1,1,2,0,1,0,1
1,1,1,2,2,0,0,0,1,2
2,1,0,0,0,2,0,1,1,1
2,2,1,1,2,0,0,0,1,0
1,0,0,2,2,0,0,1,0,2
1,0,0,2,2,0,0,2,0,2
2,0,0,1,0,2,0,1,0,1

1,1,2,0,0,2,0,2,1,2
2,1,1,1,2,0,0,0,2,0
2,1,0,2,0,1,2,0,1,1
1,1,1,2,1,0,0,0,2,0

2,2,2,0,0,1,0,2,0,1
0,0,1,0,0,2,1,1,1,2
2,2,0,0,0,0,1,1,1,0
2,0,1,0,0,2,1,1,1,0
2,1,0,2,0,1,2,0,0,1
2,2,1,0,0,0,0,0,0,0
#leftward stop
0,0,0,0,0,2,2,0,0,2
2,0,0,0,0,2,2,0,0,0
0,0,0,0,0,0,2,2,0,2
0,0,0,2,2,2,2,0,0,2
2,0,0,0,2,2,2,0,0,0
2,2,0,2,0,0,0,2,0,1
2,0,0,0,1,2,2,0,0,0
2,2,0,1,0,0,0,2,0,1
0,0,0,2,2,2,1,1,0,2
0,0,0,2,2,2,2,1,0,2
1,0,0,2,2,1,0,0,0,2
2,0,0,0,1,2,1,1,0,0
2,2,0,1,0,0,0,1,1,1
1,0,0,2,1,2,0,0,0,0
2,0,2,0,1,1,2,1,0,1
1,0,1,0,1,1,2,0,0,0
2,1,1,0,0,0,0,0,2,0
1,0,0,1,1,2,0,0,0,0
1,0,0,0,1,1,1,0,0,0
2,0,0,1,2,0,0,1,1,1
2,0,0,2,0,2,0,1,1,1
0,0,0,0,1,1,2,1,0,1
1,0,0,1,1,2,0,0,0,0
1,0,0,0,1,1,2,0,0,0
2,0,1,1,0,0,0,0,0,1
2,2,1,0,0,0,0,0,1,0
2,0,0,1,0,2,0,1,1,1
#leftward counting
0,2,1,2,0,0,0,0,2,2
2,2,1,0,0,0,0,0,2,0
0,2,2,2,0,0,0,0,1,2
0,2,2,2,0,0,0,0,2,2
2,0,0,1,0,2,0,2,0,1
2,1,1,2,2,0,0,0,2,0
2,1,1,0,0,0,0,0,1,0
0,2,2,2,0,0,0,0,0,2
2,0,0,2,2,0,0,0,0,0
2,0,1,0,0,0,0,0,0,0
1,0,0,1,0,0,2,0,0,2
#extra length
2,0,2,1,2,0,0,1,1,1
2,1,0,0,1,1,0,0,1,1
2,1,0,0,1,1,0,2,1,1
1,2,0,1,0,0,0,0,2,2
2,0,0,0,0,0,1,1,2,0
1,1,0,0,0,0,0,0,0,0
2,0,1,0,2,0,0,0,0,0
0,1,0,0,0,2,0,2,0,1
2,0,0,1,2,0,0,2,1,1
2,1,1,2,1,0,0,0,2,0
#downward signal
0,2,1,1,0,0,0,0,0,2
2,1,1,0,1,1,0,2,1,1
0,2,1,1,1,0,0,0,2,2
2,2,1,2,2,0,0,0,0,0
2,1,1,1,1,2,0,2,2,0
2,0,1,1,1,2,0,2,0,0
#reverse counter
0,2,1,1,2,0,0,0,2,2
0,0,0,0,0,0,2,0,1,2
1,1,0,0,0,2,0,2,2,0
2,0,0,0,0,1,2,1,1,0
2,0,1,1,2,2,0,2,0,1
1,0,1,1,2,2,2,0,0,0
2,1,1,2,0,0,0,2,0,0

1,2,2,0,1,2,0,0,0,2
0,2,0,0,0,1,2,1,2,1

#ending
2,2,0,2,0,0,0,0,0,0
2,0,0,0,2,0,0,0,0,0

#2,0,0,0,0,0,0,0,0,0

2,0,0,0,0,0,0,0,0,1
0,0,0,2,0,0,1,1,1,2
2,0,0,2,0,0,1,1,1,0
2,0,1,0,0,0,0,2,0,0
1,1,0,2,0,1,0,0,1,0
0,2,2,0,0,1,2,1,1,1
1,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,1,2
2,0,2,2,0,0,0,0,0,0
1,0,0,0,1,0,2,0,0,0
1,0,0,0,0,0,2,0,1,0
The pattern consists of a binary counter that counts downward. Once it reaches the end of the counter, it turns the end into a c/2 wickstretcher head and sends a signal back up, which alters the phase of the counter. The counter eventually reaches the c/2 head, which stops it, and when the counter reaches the new endpoint the cycle repeats. If the length of the counter tape is the right length mod 27, it will advance a second counter by 1 step (the first time, it stops a c/2 wickstretcher). Once that counter shrinks all the way, it sends down a signal, which changes the head of the first counter so it counts down, and when it comes all the way back up the counter collapses into a single cell.
The spaceship's period is greater than 10^^(10^^27). You can find a more detailed explanation here.

The various parts in action:

Code: Select all

x = 624, y = 201, rule = 1C3SShip2
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@RULE 1C3SShip2
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
#delay
2,0,0,0,0,0,1,0,0,1
1,0,0,0,0,0,1,0,0,0
2,0,0,0,0,0,2,0,0,1
1,0,0,0,0,0,2,0,0,0
0,2,1,2,2,0,0,0,1,2
#leftward expansion
0,0,0,1,0,0,0,0,0,2
0,0,0,0,0,1,2,0,0,2
0,0,0,2,1,2,0,0,0,1
2,0,0,0,2,1,2,0,0,0
2,1,0,1,2,0,0,0,0,1
1,0,0,0,1,1,0,0,0,0
1,1,0,1,2,0,0,0,0,2
0,0,1,1,0,0,0,0,0,2
0,0,0,1,1,0,0,0,0,1
2,1,0,2,0,0,0,0,0,1
2,0,0,0,0,1,2,0,0,0
1,1,0,2,0,0,0,0,0,2
1,0,0,0,2,1,0,0,0,0
#downward expansion
0,1,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,1,0,2
0,2,0,0,0,0,0,2,1,1
2,0,0,0,0,0,2,1,2,0
2,1,2,1,0,0,0,0,2,1
2,0,0,0,0,1,2,1,0,0
1,0,0,0,0,0,0,1,1,0
2,1,0,1,0,0,0,0,1,1
1,1,0,1,0,0,0,0,2,2
0,1,1,0,0,0,0,0,0,2
0,1,0,0,0,0,0,0,1,1
2,2,0,1,0,0,0,0,0,1
1,2,0,1,0,0,0,0,0,2
1,0,0,0,0,0,0,1,2,0
0,0,0,0,0,2,1,0,0,2
2,0,0,0,0,2,1,0,0,0
#downward stop
0,1,0,0,0,0,2,1,0,1
1,0,0,0,0,0,2,1,0,2
2,0,0,0,0,0,2,1,0,0
0,2,0,0,0,1,1,2,2,2
2,1,0,2,0,2,0,0,1,1
2,0,0,0,0,0,2,2,1,0
0,2,0,0,0,1,2,2,2,2
2,0,0,0,0,1,1,2,1,0
2,1,0,2,1,1,0,0,0,1
1,2,2,1,0,0,0,0,0,2
1,2,0,0,0,0,0,1,2,2
2,1,0,2,1,2,0,0,0,1
2,0,0,0,0,1,2,2,1,0
1,2,0,0,0,0,0,2,2,0
2,2,1,1,0,0,0,0,0,0
1,1,0,0,0,0,0,2,2,0
0,0,0,2,2,1,2,1,1,1
1,0,0,0,2,1,2,1,1,2
2,1,2,1,0,0,0,0,0,0
1,2,0,2,0,0,0,2,1,0
0,0,0,0,0,2,1,1,0,2
1,1,0,2,1,2,0,0,1,0
2,0,0,0,2,1,2,1,1,0
2,0,1,0,0,0,0,1,2,0
#downward counting
0,1,0,0,0,0,1,1,0,2
1,1,0,0,0,0,2,1,1,0
0,0,2,0,0,0,1,2,2,1
0,0,0,0,0,1,1,1,1,1
0,0,2,0,0,0,2,1,1,1
0,2,0,0,0,1,2,2,1,1
0,0,2,0,0,0,2,2,2,1
1,1,0,1,0,1,0,0,1,2
1,1,0,0,0,0,2,2,2,0
1,1,0,0,0,0,1,2,2,0
1,0,0,0,0,0,2,2,1,0
1,0,0,0,0,0,1,2,1,0
1,1,0,0,0,0,1,1,1,0
0,0,2,0,0,0,1,1,1,1
0,0,0,0,0,0,2,0,2,1
1,0,0,0,0,2,0,0,1,0
2,0,0,0,0,0,1,1,0,0
1,1,2,0,0,1,0,0,1,2
0,2,0,0,0,0,1,2,1,2
2,0,0,0,0,0,1,2,1,0
2,1,0,2,0,1,0,0,2,1
1,2,2,0,0,1,0,0,0,2
1,1,2,0,0,2,0,0,1,2
0,2,0,0,0,0,2,2,1,2
0,2,0,0,0,0,1,2,2,2
2,1,0,2,0,1,0,0,0,1
1,2,2,0,0,2,0,0,0,2
0,2,0,0,0,0,2,2,2,2
2,1,0,2,0,2,0,0,0,1
0,2,0,0,0,0,0,2,2,2

2,0,0,0,0,0,0,1,1,1
2,0,1,2,0,0,0,0,0,0
2,1,0,0,0,0,0,2,0,1
2,1,1,1,0,0,0,0,2,0
1,1,0,0,0,0,0,2,1,0
1,0,0,0,0,0,0,2,0,2
0,0,2,0,0,0,1,1,2,1
1,1,0,0,1,2,0,2,0,2
#upward signal
0,0,1,1,2,2,0,0,0,2
0,0,1,1,1,2,0,0,0,2
0,0,2,1,1,2,0,0,0,2
0,0,2,2,1,2,0,0,0,2
0,0,2,2,2,2,0,0,0,2
0,0,2,1,2,2,0,0,0,2
0,0,1,2,1,2,0,0,0,2
0,0,1,2,2,2,0,0,0,2
2,0,1,1,1,0,0,0,0,0
2,0,1,1,2,0,0,0,0,0
2,0,1,2,1,0,0,0,0,0
2,0,1,2,2,0,0,0,0,0
2,0,2,1,1,0,0,0,0,0
2,2,2,1,2,0,0,0,0,0
2,0,2,2,1,0,0,0,0,0
2,0,2,2,2,0,0,0,0,0
2,1,0,0,0,1,0,2,0,1
2,2,0,0,0,1,0,2,0,1
0,1,1,2,1,2,0,0,2,1
0,1,1,1,2,2,0,0,1,1
1,1,1,2,2,0,0,0,2,2
0,2,1,2,0,0,0,0,1,2
2,1,0,2,0,2,2,0,1,1
2,1,0,2,0,1,0,2,0,1
2,1,1,0,1,1,0,1,1,1
1,1,2,0,0,2,0,1,1,2
1,1,0,0,0,2,0,1,1,2
1,0,1,2,1,0,1,0,0,2
2,2,2,0,0,1,0,0,2,1
1,0,0,1,2,1,0,1,0,2
2,0,0,1,1,2,0,1,0,1
1,1,1,2,2,0,0,0,1,2
2,1,0,0,0,2,0,1,1,1
2,2,1,1,2,0,0,0,1,0
1,0,0,2,2,0,0,1,0,2
1,0,0,2,2,0,0,2,0,2
2,0,0,1,0,2,0,1,0,1

1,1,2,0,0,2,0,2,1,2
2,1,1,1,2,0,0,0,2,0
2,1,0,2,0,1,2,0,1,1
1,1,1,2,1,0,0,0,2,0

2,2,2,0,0,1,0,2,0,1
0,0,1,0,0,2,1,1,1,2
2,2,0,0,0,0,1,1,1,0
2,0,1,0,0,2,1,1,1,0
2,1,0,2,0,1,2,0,0,1
2,2,1,0,0,0,0,0,0,0
#leftward stop
0,0,0,0,0,2,2,0,0,2
2,0,0,0,0,2,2,0,0,0
0,0,0,0,0,0,2,2,0,2
0,0,0,2,2,2,2,0,0,2
2,0,0,0,2,2,2,0,0,0
2,2,0,2,0,0,0,2,0,1
2,0,0,0,1,2,2,0,0,0
2,2,0,1,0,0,0,2,0,1
0,0,0,2,2,2,1,1,0,2
0,0,0,2,2,2,2,1,0,2
1,0,0,2,2,1,0,0,0,2
2,0,0,0,1,2,1,1,0,0
2,2,0,1,0,0,0,1,1,1
1,0,0,2,1,2,0,0,0,0
2,0,2,0,1,1,2,1,0,1
1,0,1,0,1,1,2,0,0,0
2,1,1,0,0,0,0,0,2,0
1,0,0,1,1,2,0,0,0,0
1,0,0,0,1,1,1,0,0,0
2,0,0,1,2,0,0,1,1,1
2,0,0,2,0,2,0,1,1,1
0,0,0,0,1,1,2,1,0,1
1,0,0,1,1,2,0,0,0,0
1,0,0,0,1,1,2,0,0,0
2,0,1,1,0,0,0,0,0,1
2,2,1,0,0,0,0,0,1,0
2,0,0,1,0,2,0,1,1,1
#leftward counting
0,2,1,2,0,0,0,0,2,2
2,2,1,0,0,0,0,0,2,0
0,2,2,2,0,0,0,0,1,2
0,2,2,2,0,0,0,0,2,2
2,0,0,1,0,2,0,2,0,1
2,1,1,2,2,0,0,0,2,0
2,1,1,0,0,0,0,0,1,0
0,2,2,2,0,0,0,0,0,2
2,0,0,2,2,0,0,0,0,0
2,0,1,0,0,0,0,0,0,0
1,0,0,1,0,0,2,0,0,2
#extra length
2,0,2,1,2,0,0,1,1,1
2,1,0,0,1,1,0,0,1,1
2,1,0,0,1,1,0,2,1,1
1,2,0,1,0,0,0,0,2,2
2,0,0,0,0,0,1,1,2,0
1,1,0,0,0,0,0,0,0,0
2,0,1,0,2,0,0,0,0,0
0,1,0,0,0,2,0,2,0,1
2,0,0,1,2,0,0,2,1,1
2,1,1,2,1,0,0,0,2,0
#downward signal
0,2,1,1,0,0,0,0,0,2
2,1,1,0,1,1,0,2,1,1
0,2,1,1,1,0,0,0,2,2
2,2,1,2,2,0,0,0,0,0
2,1,1,1,1,2,0,2,2,0
2,0,1,1,1,2,0,2,0,0
#reverse counter
0,2,1,1,2,0,0,0,2,2
0,0,0,0,0,0,2,0,1,2
1,1,0,0,0,2,0,2,2,0
2,0,0,0,0,1,2,1,1,0
2,0,1,1,2,2,0,2,0,1
1,0,1,1,2,2,2,0,0,0
2,1,1,2,0,0,0,2,0,0

1,2,2,0,1,2,0,0,0,2
0,2,0,0,0,1,2,1,2,1

#ending
2,2,0,2,0,0,0,0,0,0
2,0,0,0,2,0,0,0,0,0

#2,0,0,0,0,0,0,0,0,0

2,0,0,0,0,0,0,0,0,1
0,0,0,2,0,0,1,1,1,2
2,0,0,2,0,0,1,1,1,0
2,0,1,0,0,0,0,2,0,0
1,1,0,2,0,1,0,0,1,0
0,2,2,0,0,1,2,1,1,1
1,0,0,0,0,0,0,1,0,0
0,0,0,0,1,0,0,0,1,2
2,0,2,2,0,0,0,0,0,0
1,0,0,0,1,0,2,0,0,0
1,0,0,0,0,0,2,0,1,0
Obviously, this also gives us a one-cell diehard with the same lifespan.
Any sufficiently advanced software is indistinguishable from malice.
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AforAmpere
Moderator
Posts: 1433
Joined: July 1st, 2016, 3:58 pm

Re: Slowest one cell spaceships of each state count

Post by AforAmpere »

gameoflifemaniac wrote: May 31st, 2020, 2:55 am New slowest ship record, c/714:

Code: Select all

#C by gameoflifemaniac and blah
x = 1, y = 1, rule = MAPhhPAmAASJAQAQgAACQCAAAEAAACAABEACAAEAAAAAAAAAQAAEAAAAAwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
Here's a C/790:

Code: Select all

x = 1, y = 1, rule = MAPhhPAngATJAQAQhUPOSH9BAEEGA6Djxd2CgMRAHM/fSoAAwIiEAcASA4AGTZwL7f/UR4PTxN/BCAWAxEPERNBAA
o!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.
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AforAmpere
Moderator
Posts: 1433
Joined: July 1st, 2016, 3:58 pm

Re: Slowest one cell spaceships of each state count

Post by AforAmpere »

C/936:

Code: Select all

x = 1, y = 1, rule = MAPhhPAngATIAQAQhUPOQP1BAEEGAaDjzN2CgEBABMfeSgAAwIiEAcESA4AGzZAL/f/UR5HTwP3BCAWAxEPERNBAA
o!
EDIT, C/1142:

Code: Select all

x = 1, y = 1, rule = MAPhhPAnAATJAQAQhUPKSO1BAEAGA6Djxd2CgMRAHM/HSgAAQIqEAcESA4AGQJAK/f/UAJHTxL3BCAWAwEPERMBAA
o!
C/1308:

Code: Select all

x = 1, y = 1, rule = MAPhhPAnAATJAQAQhUPKSOVBAEAGAaDjxc2CAMRAHM/FSgAAQIqEAcESA4AGSJAL/f/UAJOTxL3BCAWAwEPERMBAA
o!
C/1358:

Code: Select all

x = 1, y = 1, rule = MAPhhPAmAATJAQAQhUHKSOVBAEAGAaDjxc2CAMRAHM/VSgAAQIqEAcESA4AGSRAL7f/UQJOTxL3BCAWAwEPERMBAA
o!
EDIT 2, C/1444:

Code: Select all

x = 1, y = 1, rule = MAPhhPAmAATJAQAQhUHKSP1BAEAGAaDjzdSCAMRAHM7VSgAAQIqEAcESA4ACyRAL7f/UABHTxL3BCAEAQENARMBAA
o!
The torch of 5S has been passed on again, and is now managed by speedydelete. It can be found here. Also check out my program EPE, a tool for searching for patterns in various rulespaces.
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OogaBooga_
Posts: 85
Joined: February 7th, 2026, 8:34 pm
Location: Quantum Superposition

Re: Slowest one cell spaceships of each state count

Post by OogaBooga_ »

toroidalet wrote: September 14th, 2017, 10:36 am c/36:

Code: Select all

x = 1, y = 1, rule = slowshiptry
A!

Code: Select all

@RULE slowshiptry
@TABLE
n_states: 3
neighborhood:Moore
symmetries:none
1,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,1,0,2
2,0,0,0,0,0,0,1,0,1
1,0,0,1,0,0,0,0,0,2
0,0,0,0,2,1,2,0,0,1
0,0,0,1,1,2,0,0,0,2
0,0,0,2,2,0,0,0,0,1
1,0,0,2,2,0,0,0,0,0
0,1,2,2,0,0,0,0,0,1
0,0,0,2,2,1,0,0,0,2
2,0,0,2,2,1,0,0,0,1
1,2,2,2,0,0,0,0,0,2
1,0,0,2,2,2,0,0,0,0
2,0,2,2,0,0,0,0,0,0
2,2,1,1,0,0,0,2,0,0
2,0,0,1,1,0,0,0,0,0
1,1,0,1,0,0,0,0,2,2
0,0,0,0,1,1,2,1,0,2
1,0,0,2,1,2,0,0,0,0
2,0,0,0,1,1,2,0,0,0
0,0,0,0,1,1,1,2,0,2
2,0,0,2,1,1,2,0,0,0
2,0,0,2,1,1,1,0,0,0
0,0,0,0,1,1,1,2,0,2
0,0,0,0,2,1,1,2,0,2
1,0,0,0,0,0,0,1,2,0
0,0,0,0,2,0,1,2,0,2
0,0,0,2,0,0,0,1,2,2
0,0,0,0,0,2,2,2,0,2
2,0,0,2,2,1,0,0,0,0
2,2,0,2,0,0,0,1,2,1
2,0,0,0,0,0,0,2,2,0
2,0,0,2,0,1,1,0,0,0
0,0,0,2,0,1,1,0,0,2
1,0,2,0,0,0,0,1,0,0
2,0,0,0,0,0,1,0,0,0
0,0,0,2,0,1,2,0,0,2
1,2,0,0,0,0,0,2,0,0
2,0,0,0,0,0,2,0,0,0
2,0,2,0,0,0,0,0,0,1
A 4-state rule based on this with two one cell ships; those being a c/74 knightship and a c/43 orthogonal.

Code: Select all

x = 1, y = 1, rule = slowships
A16$C!
@RULE slowships
@TABLE
n_states: 4
neighborhood:Moore
symmetries:none
var a 1 2 3
var n1 a
var n2 a
var n3 a
var n4 a
var n5 a
var n6 a
var n7 a
var n8 a
1,0,0,0,0,0,0,0,0,1
0,0,0,0,0,0,0,1,0,2
2,0,0,0,0,0,0,1,0,1
1,0,0,1,0,0,0,0,0,2
0,0,0,0,2,1,2,0,0,1
0,0,0,1,1,2,0,0,0,2
0,0,0,2,2,0,0,0,0,1
1,0,0,2,2,0,0,0,0,0
0,1,2,2,0,0,0,0,0,1
0,0,0,2,2,1,0,0,0,2
2,0,0,2,2,1,0,0,0,1
1,2,2,2,0,0,0,0,0,2
1,0,0,2,2,2,0,0,0,0
2,0,2,2,0,0,0,0,0,0
2,2,1,1,0,0,0,2,0,0
2,0,0,1,1,0,0,0,0,0
1,1,0,1,0,0,0,0,2,2
0,0,0,0,1,1,2,1,0,2
1,0,0,2,1,2,0,0,0,0
2,0,0,0,1,1,2,0,0,0
0,0,0,0,1,1,1,2,0,2
2,0,0,2,1,1,2,0,0,0
2,0,0,2,1,1,1,0,0,0
0,0,0,0,1,1,1,2,0,2
0,0,0,0,2,1,1,2,0,2
1,0,0,0,0,0,0,1,2,3
0,0,0,0,2,0,1,2,0,2
0,0,0,2,0,0,0,1,2,2
0,0,0,0,0,2,2,2,0,2
2,0,0,2,2,1,0,0,0,0
2,2,0,2,0,0,0,1,2,1
2,0,0,0,0,0,0,2,2,0
2,0,0,2,0,1,1,0,0,0
0,1,0,2,0,0,0,0,1,2
1,0,0,0,2,0,0,1,0,0
2,0,0,0,0,0,0,0,1,0
0,1,0,2,0,0,0,0,2,2
1,0,0,0,2,0,0,2,0,0
2,0,0,0,1,1,1,2,0,0
2,0,0,0,1,1,1,0,0,0
2,0,0,0,0,0,0,0,2,1
2,0,0,0,2,0,0,0,0,0
1,0,0,0,0,1,0,0,0,0
1,1,0,0,0,0,0,0,0,0
0,0,1,1,0,0,0,0,0,2
0,0,1,1,1,0,0,0,0,2
0,0,0,1,1,0,0,0,0,2
1,1,1,1,1,2,0,0,0,2
0,0,1,1,2,0,0,0,0,1
2,1,1,1,1,2,1,1,0,1
2,2,0,0,0,2,1,1,1,2
1,0,0,2,2,1,0,0,0,2
1,1,2,2,2,1,0,0,0,2
1,1,2,2,0,0,0,0,0,2
2,0,0,2,2,2,0,1,0,1
2,2,2,2,2,2,2,2,1,1
2,0,0,2,2,1,2,0,0,0
2,0,2,1,2,2,0,0,0,0
1,1,2,2,2,2,2,0,0,0
1,0,0,0,2,0,0,0,0,0
2,0,0,2,0,0,0,0,0,0
2,2,0,0,0,0,0,0,0,0
2,2,0,0,0,2,0,0,2,0
2,0,0,0,0,0,0,0,0,0
2,0,0,0,2,1,0,0,0,0
2,0,0,2,0,0,0,1,2,1
1,2,0,2,0,0,0,0,0,0
0,0,0,0,2,2,1,2,0,2
0,0,0,2,0,2,0,0,0,1
2,1,2,0,0,0,0,0,0,0
2,0,0,0,0,0,2,1,0,0
2,0,0,0,0,0,0,3,0,0
0,0,0,0,2,3,1,0,0,0
1,0,0,3,0,0,0,1,0,0
0,0,0,0,0,3,0,0,0,2
2,0,0,0,0,3,0,0,0,3
3,3,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,3,2,3
0,3,0,0,0,0,0,2,3,2
0,2,0,0,0,0,0,0,2,3
3,2,0,0,0,0,0,0,2,0
0,2,2,3,0,0,0,0,0,3
0,2,0,0,0,0,0,3,2,2
2,2,0,0,0,0,0,3,2,3
3,2,2,2,0,0,0,0,0,2
3,2,0,0,0,0,0,2,2,0
2,2,2,0,0,0,0,0,0,0
2,3,3,2,0,2,0,0,0,0
3,3,0,3,2,0,0,0,0,2
2,3,0,0,0,0,0,0,3,0
0,0,0,0,0,3,2,3,3,2
0,0,0,0,0,2,3,3,3,2
3,2,0,0,0,0,0,2,3,0
2,2,0,0,0,0,2,3,3,0
2,2,0,0,0,0,3,3,3,0
0,0,0,0,0,2,3,3,2,2
0,0,0,0,0,2,3,3,0,2
2,0,0,0,2,3,0,0,0,1
2,0,0,0,0,0,3,3,1,0
3,1,0,0,0,3,0,0,0,2
2,1,0,0,0,3,0,0,0,1
1,0,0,0,0,2,0,0,0,0
3,1,0,3,0,2,0,0,0,0
2,0,3,2,0,0,0,0,0,3
1,0,0,0,3,0,0,0,0,0
3,0,0,0,0,2,2,0,1,0
0,3,2,3,0,0,0,0,0,3
2,0,0,0,0,3,0,3,0,0
3,0,0,2,3,0,0,0,0,0
0,3,3,0,0,0,0,0,0,3
3,0,0,3,0,0,0,0,0,0
3,0,0,0,0,0,0,3,0,0
0,0,0,3,0,0,0,0,1,2
3,0,0,0,3,0,0,0,0,0
3,2,0,0,0,0,0,2,0,0
2,0,0,0,0,3,2,0,0,0
2,0,2,3,0,0,0,0,1,0
a,n1,n2,n3,n4,n5,n6,n7,n8,0
@COLORS
1 255 0 0
2 255 255 0
3 0 255 255

Code: Select all

x = 37, y = 10, rule = B3-knq4-aiwy5e6eik7c/S2aek3-aey4iq5a6ack
bo33bo$2o33b2o$bo33bo6$7b3o17b3o$8bo19bo!
feel free to look at my miscellaneous creations at viewtopic.php?f=12&t=7212
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R2INT
Posts: 944
Joined: July 2nd, 2024, 7:42 pm

Re: Slowest one cell spaceships of each state count

Post by R2INT »

New 3-state record, which I estimate at 2^^(2^^(2^^4096)), or about 2^^^6:

Code: Select all

x = 1, y = 1, rule = slowship7
A!
@RULE slowship7
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,2,1,0,0 1
0 0,0,0,1,2,1,0,0 1
0 0,0,0,2,2,1,0,0 2
0 0,0,0,2,1,2,0,0 1
0 0,0,0,2,2,2,0,0 1
0 0,0,1,0,0,0,0,0 2
0 0,0,1,1,0,0,0,0 1
0 0,0,1,0,1,0,0,0 1
0 0,0,1,2,2,0,0,0 1
0 0,0,1,0,1,2,0,0 1
0 0,0,1,2,2,2,0,0 1
0 0,0,2,2,2,0,0,0 2
0 0,0,2,1,0,2,0,0 2
1 0,0,0,0,0,0,0,0 1
1 0,0,0,0,2,0,0,0 1
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,1,2,0,0 1
1 0,0,0,2,2,2,0,0 2
1 0,0,1,2,1,0,0,0 2
1 0,0,1,0,2,0,0,0 1
1 0,0,2,2,0,0,0,0 1
1 0,0,2,0,2,0,0,0 2
1 0,0,2,1,2,0,0,0 2
1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,0,2,0,0 2
2 0,0,0,0,0,0,0,0 2
2 0,0,0,0,1,0,0,0 1
2 0,0,0,2,2,0,0,0 2
2 0,0,0,0,2,1,0,0 2
2 0,0,0,0,0,2,0,0 2
2 0,0,0,0,2,2,0,0 2
2 0,0,0,2,2,2,0,0 2
2 0,0,1,1,0,0,0,0 2
2 0,0,1,2,0,0,0,0 2
2 0,0,2,0,0,0,0,0 2
2 0,0,2,1,0,0,0,0 2
2 0,0,2,2,0,0,0,0 2
2 0,0,2,2,0,2,0,0 1
0 0,0,0,0,0,0,1,0 2
0 0,0,0,0,1,0,1,0 1
0 0,0,0,0,0,1,1,0 1
0 0,0,0,0,2,2,1,0 1
0 0,0,2,2,0,1,1,0 2
1 0,0,0,0,1,0,1,0 1
1 0,0,0,0,2,0,1,0 2
1 0,0,0,0,2,1,1,0 1
1 0,0,1,0,0,0,1,0 2
2 0,0,0,0,0,0,1,0 2
2 0,0,0,0,0,1,1,0 1
2 0,0,0,0,0,2,1,0 1
2 0,0,1,0,0,0,1,0 2
2 0,0,1,1,0,2,1,0 2
2 0,0,1,2,0,2,1,0 2
2 0,0,1,2,1,2,1,0 2
2 0,0,1,2,2,2,1,0 2
2 0,0,2,2,0,0,1,0 2
2 0,0,2,0,1,0,1,0 2
0 0,0,0,2,2,0,2,0 2
0 0,0,0,1,1,2,2,0 1
0 0,0,0,0,2,2,2,0 2
0 0,0,1,1,0,2,2,0 1
0 0,0,2,2,0,1,2,0 2
1 0,0,0,2,0,0,2,0 2
1 0,0,0,2,1,0,2,0 2
1 0,0,0,0,2,0,2,0 2
1 0,0,0,0,1,1,2,0 2
1 0,0,0,2,0,2,2,0 1
1 0,0,0,0,2,2,2,0 2
1 0,0,2,0,0,0,2,0 1
1 0,0,2,0,1,0,2,0 2
2 0,0,0,0,0,0,2,0 2
2 0,0,0,0,0,1,2,0 1
2 0,0,0,0,0,2,2,0 2
2 0,0,2,0,1,0,2,0 1
0 0,1,1,0,0,0,0,0 2
0 0,1,1,1,0,0,0,0 2
0 0,1,1,2,0,0,0,0 1
0 0,1,1,2,0,1,0,0 1
0 0,1,1,2,0,2,0,0 2
0 0,1,2,0,0,0,0,0 2
0 0,1,2,1,2,0,0,0 2
0 0,1,2,2,2,0,0,0 1
1 0,1,0,0,0,0,0,0 1
2 0,1,0,0,0,0,0,0 2
2 0,1,1,1,0,0,0,0 2
2 0,1,1,2,2,0,0,0 2
2 0,1,2,1,0,0,0,0 2
2 0,1,2,2,0,0,0,0 1
2 0,1,2,1,2,0,0,0 2
2 0,1,2,0,0,2,0,0 2
0 0,1,0,0,2,0,1,0 2
0 0,1,2,0,0,1,1,0 2
1 0,1,2,0,0,0,1,0 2
0 0,1,1,2,0,0,2,0 1
0 0,1,2,0,0,0,2,0 2
0 0,1,2,0,0,2,2,0 2
1 0,1,0,0,0,0,2,0 2
1 0,1,0,1,0,0,2,0 2
1 0,1,2,0,0,0,2,0 1
2 0,1,1,1,0,0,2,0 2
0 0,2,0,2,0,0,0,0 2
2 0,2,0,0,0,0,0,0 2
2 0,2,0,0,2,2,0,0 2
2 0,2,1,0,0,0,0,0 2
2 0,2,2,0,0,0,0,0 2
1 0,2,1,0,0,0,1,0 2
1 0,2,2,2,0,2,1,0 1
0 0,2,1,0,0,0,2,0 1
0 0,2,1,0,0,2,2,0 1
0 0,2,2,1,0,2,2,0 1
0 1,0,1,0,0,0,0,0 1
0 1,0,1,2,0,0,0,0 2
0 1,0,2,0,0,0,0,0 2
1 1,0,0,0,1,0,0,0 2
1 1,0,2,0,2,0,0,0 2
2 1,0,0,0,1,0,0,0 2
2 1,0,0,0,2,1,0,0 1
2 1,0,1,0,0,0,0,0 2
2 1,0,2,0,0,0,0,0 1
2 1,0,2,0,1,0,0,0 2
0 1,0,0,0,0,0,1,0 2
0 1,0,0,0,0,0,2,0 2
0 1,0,1,0,0,0,2,0 1
0 1,0,1,0,1,2,2,0 2
1 1,0,0,0,2,0,2,0 2
1 1,0,0,0,2,1,2,0 2
1 1,0,0,0,2,2,2,0 2
1 1,0,2,0,2,2,2,0 1
2 1,0,0,2,0,0,2,0 1
2 1,0,0,0,2,0,2,0 2
2 1,0,0,1,2,0,2,0 2
2 1,0,1,0,2,0,2,0 2
2 1,0,2,0,1,0,2,0 1
2 1,0,2,0,1,2,2,0 2
0 1,1,0,0,0,0,0,0 2
2 1,1,0,0,0,0,0,0 1
0 1,1,1,0,0,0,2,0 2
0 1,1,1,0,2,0,2,0 2
0 1,1,2,0,2,0,2,0 2
2 1,1,1,1,2,0,2,0 2
0 1,2,0,0,0,0,0,0 1
0 1,2,1,0,0,0,0,0 1
2 1,2,0,1,0,0,0,0 2
2 1,2,0,0,1,0,0,0 2
0 1,2,0,0,0,0,1,0 2
0 2,0,0,2,2,0,0,0 2
0 2,0,0,2,0,2,0,0 2
0 2,0,1,0,0,0,0,0 2
0 2,0,2,2,0,1,0,0 2
0 2,0,2,1,1,1,0,0 1
0 2,0,2,0,2,2,0,0 1
1 2,0,0,2,0,0,0,0 1
1 2,0,0,0,1,0,0,0 1
2 2,0,2,0,2,0,0,0 2
0 2,0,0,0,0,0,1,0 1
2 2,0,0,0,0,0,1,0 1
0 2,0,0,0,0,0,2,0 1
0 2,0,0,1,0,2,2,0 1
0 2,0,0,0,2,2,2,0 2
0 2,0,2,0,0,0,2,0 2
2 2,0,0,0,2,0,2,0 2
2 2,0,2,0,2,0,2,0 1
1 2,1,0,2,0,0,0,0 1
1 2,1,2,0,0,0,0,0 2
2 2,1,2,0,0,0,0,0 1
1 2,1,2,0,0,0,1,0 1
0 2,1,0,0,2,0,2,0 2
0 2,2,0,0,1,0,0,0 2
0 2,2,0,2,1,0,0,0 2
0 2,2,1,0,0,0,0,0 1
0 2,2,1,1,0,0,0,0 2
0 2,2,2,0,0,0,0,0 2
0 2,2,2,2,2,0,0,0 2
2 2,2,0,0,0,0,0,0 2
2 2,2,1,0,0,0,0,0 1
2 2,2,0,0,0,0,2,0 1
2 2,2,0,2,2,0,2,0 2
0 0,0,0,2,0,0,0,1 1
0 0,0,0,0,2,0,0,1 1
0 0,0,0,0,2,2,0,1 2
1 0,0,0,0,0,0,0,1 2
1 0,0,0,0,0,1,0,1 1
1 0,0,0,2,0,1,0,1 2
2 0,0,0,2,2,0,0,1 2
2 0,0,0,0,0,2,0,1 2
0 0,0,0,0,0,0,1,1 1
0 0,0,0,2,0,0,1,1 2
0 0,0,0,0,0,1,1,1 1
0 0,0,0,0,0,2,1,1 1
0 0,0,0,2,0,2,1,1 2
0 0,0,2,0,0,0,1,1 2
0 0,0,2,0,0,1,1,1 2
0 0,0,2,0,0,2,1,1 1
0 0,0,2,2,0,2,1,1 1
2 0,0,0,0,0,0,1,1 2
0 0,0,0,0,0,0,2,1 2
0 0,0,0,2,0,0,2,1 2
0 0,0,0,0,0,1,2,1 1
0 0,0,0,2,0,1,2,1 2
1 0,0,0,0,1,1,2,1 2
1 0,0,0,0,0,2,2,1 2
2 0,0,0,2,0,0,2,1 2
2 0,0,0,0,0,1,2,1 1
2 0,0,0,2,0,1,2,1 2
2 0,0,0,0,0,2,2,1 2
2 0,1,1,1,0,0,0,1 2
2 0,1,1,1,0,2,2,1 2
0 0,2,0,0,0,2,1,1 1
0 0,2,1,0,0,0,1,1 2
0 0,2,2,2,0,1,1,1 1
0 0,2,0,0,0,0,2,1 1
0 0,2,2,2,0,0,2,1 2
0 1,0,0,2,0,0,0,1 2
2 1,0,0,2,0,2,0,1 1
2 1,0,0,0,0,0,1,1 1
1 1,0,0,0,1,2,2,1 2
0 1,1,0,0,0,0,0,1 2
0 1,2,2,0,0,0,2,1 1
1 2,0,0,0,0,0,0,1 2
0 2,0,0,0,0,0,1,1 1
2 2,1,0,0,0,0,0,1 1
0 2,1,2,0,0,1,2,1 1
1 2,1,2,1,0,1,2,1 2
1 2,1,2,0,0,2,2,1 2
2 2,1,2,1,0,1,2,1 1
0 2,2,0,0,0,0,0,1 1
1 2,2,0,0,0,0,0,1 1
0 0,0,0,0,0,2,0,2 2
1 0,0,2,0,0,0,0,2 2
2 0,0,0,0,0,0,0,2 2
2 0,0,0,2,2,0,0,2 2
0 0,0,0,0,0,0,1,2 1
0 0,0,0,2,2,0,1,2 2
0 0,0,0,0,0,1,1,2 1
0 0,0,0,0,0,2,1,2 2
1 0,0,0,2,0,0,2,2 2
1 0,0,1,0,0,2,2,2 2
2 0,0,0,0,0,0,2,2 2
0 0,1,2,0,0,0,0,2 2
0 0,1,0,0,0,2,2,2 1
0 0,1,1,2,0,2,2,2 2
0 0,1,2,0,0,0,2,2 1
1 0,1,0,0,0,0,2,2 2
0 0,2,0,0,1,0,0,2 2
0 0,2,0,0,2,0,0,2 2
0 0,2,0,0,0,2,2,2 1
0 0,2,1,0,0,2,2,2 1
0 1,0,1,0,0,0,0,2 1
1 1,0,2,0,0,1,0,2 2
0 1,0,0,2,2,0,1,2 1
1 1,0,0,0,1,0,1,2 1
2 1,0,0,2,0,0,1,2 1
2 1,0,2,0,1,2,2,2 2
1 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,2,2 2
0 2,0,2,0,0,0,0,2 2
2 2,0,0,0,0,0,0,2 2
2 2,0,2,0,2,0,0,2 2
0 2,0,0,0,0,0,1,2 2
0 2,0,2,0,0,0,1,2 1
0 2,0,0,0,0,0,2,2 2
0 2,0,0,0,0,1,2,2 1
0 2,0,0,0,2,2,2,2 2
0 2,1,2,0,0,0,0,2 2
2 2,1,1,0,2,2,0,2 2
1 2,2,0,2,0,0,0,2 2
0 2,2,1,0,0,0,1,2 1
0 2,2,2,2,0,2,2,2 2
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
A demo of the self-destruct mechanism, using paste commands to remove three tetration cycles:

Code: Select all

# Demo of the slowship with paste commands to remove dots
# [[ MAXGRIDSIZE 14 PASTEMODE COPY RLE a .B$3.B$2B4.! PASTET EVERY 271 14 PASTEDELTA -1 0 PASTE a -3 -6 ]]
x = 1, y = 1, rule = slowship7
A!
@RULE slowship7
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,2,1,0,0 1
0 0,0,0,1,2,1,0,0 1
0 0,0,0,2,2,1,0,0 2
0 0,0,0,2,1,2,0,0 1
0 0,0,0,2,2,2,0,0 1
0 0,0,1,0,0,0,0,0 2
0 0,0,1,1,0,0,0,0 1
0 0,0,1,0,1,0,0,0 1
0 0,0,1,2,2,0,0,0 1
0 0,0,1,0,1,2,0,0 1
0 0,0,1,2,2,2,0,0 1
0 0,0,2,2,2,0,0,0 2
0 0,0,2,1,0,2,0,0 2
1 0,0,0,0,0,0,0,0 1
1 0,0,0,0,2,0,0,0 1
1 0,0,0,1,0,1,0,0 2
1 0,0,0,2,1,2,0,0 1
1 0,0,0,2,2,2,0,0 2
1 0,0,1,2,1,0,0,0 2
1 0,0,1,0,2,0,0,0 1
1 0,0,2,2,0,0,0,0 1
1 0,0,2,0,2,0,0,0 2
1 0,0,2,1,2,0,0,0 2
1 0,0,2,2,2,0,0,0 2
1 0,0,2,0,0,2,0,0 2
2 0,0,0,0,0,0,0,0 2
2 0,0,0,0,1,0,0,0 1
2 0,0,0,2,2,0,0,0 2
2 0,0,0,0,2,1,0,0 2
2 0,0,0,0,0,2,0,0 2
2 0,0,0,0,2,2,0,0 2
2 0,0,0,2,2,2,0,0 2
2 0,0,1,1,0,0,0,0 2
2 0,0,1,2,0,0,0,0 2
2 0,0,2,0,0,0,0,0 2
2 0,0,2,1,0,0,0,0 2
2 0,0,2,2,0,0,0,0 2
2 0,0,2,2,0,2,0,0 1
0 0,0,0,0,0,0,1,0 2
0 0,0,0,0,1,0,1,0 1
0 0,0,0,0,0,1,1,0 1
0 0,0,0,0,2,2,1,0 1
0 0,0,2,2,0,1,1,0 2
1 0,0,0,0,1,0,1,0 1
1 0,0,0,0,2,0,1,0 2
1 0,0,0,0,2,1,1,0 1
1 0,0,1,0,0,0,1,0 2
2 0,0,0,0,0,0,1,0 2
2 0,0,0,0,0,1,1,0 1
2 0,0,0,0,0,2,1,0 1
2 0,0,1,0,0,0,1,0 2
2 0,0,1,1,0,2,1,0 2
2 0,0,1,2,0,2,1,0 2
2 0,0,1,2,1,2,1,0 2
2 0,0,1,2,2,2,1,0 2
2 0,0,2,2,0,0,1,0 2
2 0,0,2,0,1,0,1,0 2
0 0,0,0,2,2,0,2,0 2
0 0,0,0,1,1,2,2,0 1
0 0,0,0,0,2,2,2,0 2
0 0,0,1,1,0,2,2,0 1
0 0,0,2,2,0,1,2,0 2
1 0,0,0,2,0,0,2,0 2
1 0,0,0,2,1,0,2,0 2
1 0,0,0,0,2,0,2,0 2
1 0,0,0,0,1,1,2,0 2
1 0,0,0,2,0,2,2,0 1
1 0,0,0,0,2,2,2,0 2
1 0,0,2,0,0,0,2,0 1
1 0,0,2,0,1,0,2,0 2
2 0,0,0,0,0,0,2,0 2
2 0,0,0,0,0,1,2,0 1
2 0,0,0,0,0,2,2,0 2
2 0,0,2,0,1,0,2,0 1
0 0,1,1,0,0,0,0,0 2
0 0,1,1,1,0,0,0,0 2
0 0,1,1,2,0,0,0,0 1
0 0,1,1,2,0,1,0,0 1
0 0,1,1,2,0,2,0,0 2
0 0,1,2,0,0,0,0,0 2
0 0,1,2,1,2,0,0,0 2
0 0,1,2,2,2,0,0,0 1
1 0,1,0,0,0,0,0,0 1
2 0,1,0,0,0,0,0,0 2
2 0,1,1,1,0,0,0,0 2
2 0,1,1,2,2,0,0,0 2
2 0,1,2,1,0,0,0,0 2
2 0,1,2,2,0,0,0,0 1
2 0,1,2,1,2,0,0,0 2
2 0,1,2,0,0,2,0,0 2
0 0,1,0,0,2,0,1,0 2
0 0,1,2,0,0,1,1,0 2
1 0,1,2,0,0,0,1,0 2
0 0,1,1,2,0,0,2,0 1
0 0,1,2,0,0,0,2,0 2
0 0,1,2,0,0,2,2,0 2
1 0,1,0,0,0,0,2,0 2
1 0,1,0,1,0,0,2,0 2
1 0,1,2,0,0,0,2,0 1
2 0,1,1,1,0,0,2,0 2
0 0,2,0,2,0,0,0,0 2
2 0,2,0,0,0,0,0,0 2
2 0,2,0,0,2,2,0,0 2
2 0,2,1,0,0,0,0,0 2
2 0,2,2,0,0,0,0,0 2
1 0,2,1,0,0,0,1,0 2
1 0,2,2,2,0,2,1,0 1
0 0,2,1,0,0,0,2,0 1
0 0,2,1,0,0,2,2,0 1
0 0,2,2,1,0,2,2,0 1
0 1,0,1,0,0,0,0,0 1
0 1,0,1,2,0,0,0,0 2
0 1,0,2,0,0,0,0,0 2
1 1,0,0,0,1,0,0,0 2
1 1,0,2,0,2,0,0,0 2
2 1,0,0,0,1,0,0,0 2
2 1,0,0,0,2,1,0,0 1
2 1,0,1,0,0,0,0,0 2
2 1,0,2,0,0,0,0,0 1
2 1,0,2,0,1,0,0,0 2
0 1,0,0,0,0,0,1,0 2
0 1,0,0,0,0,0,2,0 2
0 1,0,1,0,0,0,2,0 1
0 1,0,1,0,1,2,2,0 2
1 1,0,0,0,2,0,2,0 2
1 1,0,0,0,2,1,2,0 2
1 1,0,0,0,2,2,2,0 2
1 1,0,2,0,2,2,2,0 1
2 1,0,0,2,0,0,2,0 1
2 1,0,0,0,2,0,2,0 2
2 1,0,0,1,2,0,2,0 2
2 1,0,1,0,2,0,2,0 2
2 1,0,2,0,1,0,2,0 1
2 1,0,2,0,1,2,2,0 2
0 1,1,0,0,0,0,0,0 2
2 1,1,0,0,0,0,0,0 1
0 1,1,1,0,0,0,2,0 2
0 1,1,1,0,2,0,2,0 2
0 1,1,2,0,2,0,2,0 2
2 1,1,1,1,2,0,2,0 2
0 1,2,0,0,0,0,0,0 1
0 1,2,1,0,0,0,0,0 1
2 1,2,0,1,0,0,0,0 2
2 1,2,0,0,1,0,0,0 2
0 1,2,0,0,0,0,1,0 2
0 2,0,0,2,2,0,0,0 2
0 2,0,0,2,0,2,0,0 2
0 2,0,1,0,0,0,0,0 2
0 2,0,2,2,0,1,0,0 2
0 2,0,2,1,1,1,0,0 1
0 2,0,2,0,2,2,0,0 1
1 2,0,0,2,0,0,0,0 1
1 2,0,0,0,1,0,0,0 1
2 2,0,2,0,2,0,0,0 2
0 2,0,0,0,0,0,1,0 1
2 2,0,0,0,0,0,1,0 1
0 2,0,0,0,0,0,2,0 1
0 2,0,0,1,0,2,2,0 1
0 2,0,0,0,2,2,2,0 2
0 2,0,2,0,0,0,2,0 2
2 2,0,0,0,2,0,2,0 2
2 2,0,2,0,2,0,2,0 1
1 2,1,0,2,0,0,0,0 1
1 2,1,2,0,0,0,0,0 2
2 2,1,2,0,0,0,0,0 1
1 2,1,2,0,0,0,1,0 1
0 2,1,0,0,2,0,2,0 2
0 2,2,0,0,1,0,0,0 2
0 2,2,0,2,1,0,0,0 2
0 2,2,1,0,0,0,0,0 1
0 2,2,1,1,0,0,0,0 2
0 2,2,2,0,0,0,0,0 2
0 2,2,2,2,2,0,0,0 2
2 2,2,0,0,0,0,0,0 2
2 2,2,1,0,0,0,0,0 1
2 2,2,0,0,0,0,2,0 1
2 2,2,0,2,2,0,2,0 2
0 0,0,0,2,0,0,0,1 1
0 0,0,0,0,2,0,0,1 1
0 0,0,0,0,2,2,0,1 2
1 0,0,0,0,0,0,0,1 2
1 0,0,0,0,0,1,0,1 1
1 0,0,0,2,0,1,0,1 2
2 0,0,0,2,2,0,0,1 2
2 0,0,0,0,0,2,0,1 2
0 0,0,0,0,0,0,1,1 1
0 0,0,0,2,0,0,1,1 2
0 0,0,0,0,0,1,1,1 1
0 0,0,0,0,0,2,1,1 1
0 0,0,0,2,0,2,1,1 2
0 0,0,2,0,0,0,1,1 2
0 0,0,2,0,0,1,1,1 2
0 0,0,2,0,0,2,1,1 1
0 0,0,2,2,0,2,1,1 1
2 0,0,0,0,0,0,1,1 2
0 0,0,0,0,0,0,2,1 2
0 0,0,0,2,0,0,2,1 2
0 0,0,0,0,0,1,2,1 1
0 0,0,0,2,0,1,2,1 2
1 0,0,0,0,1,1,2,1 2
1 0,0,0,0,0,2,2,1 2
2 0,0,0,2,0,0,2,1 2
2 0,0,0,0,0,1,2,1 1
2 0,0,0,2,0,1,2,1 2
2 0,0,0,0,0,2,2,1 2
2 0,1,1,1,0,0,0,1 2
2 0,1,1,1,0,2,2,1 2
0 0,2,0,0,0,2,1,1 1
0 0,2,1,0,0,0,1,1 2
0 0,2,2,2,0,1,1,1 1
0 0,2,0,0,0,0,2,1 1
0 0,2,2,2,0,0,2,1 2
0 1,0,0,2,0,0,0,1 2
2 1,0,0,2,0,2,0,1 1
2 1,0,0,0,0,0,1,1 1
1 1,0,0,0,1,2,2,1 2
0 1,1,0,0,0,0,0,1 2
0 1,2,2,0,0,0,2,1 1
1 2,0,0,0,0,0,0,1 2
0 2,0,0,0,0,0,1,1 1
2 2,1,0,0,0,0,0,1 1
0 2,1,2,0,0,1,2,1 1
1 2,1,2,1,0,1,2,1 2
1 2,1,2,0,0,2,2,1 2
2 2,1,2,1,0,1,2,1 1
0 2,2,0,0,0,0,0,1 1
1 2,2,0,0,0,0,0,1 1
0 0,0,0,0,0,2,0,2 2
1 0,0,2,0,0,0,0,2 2
2 0,0,0,0,0,0,0,2 2
2 0,0,0,2,2,0,0,2 2
0 0,0,0,0,0,0,1,2 1
0 0,0,0,2,2,0,1,2 2
0 0,0,0,0,0,1,1,2 1
0 0,0,0,0,0,2,1,2 2
1 0,0,0,2,0,0,2,2 2
1 0,0,1,0,0,2,2,2 2
2 0,0,0,0,0,0,2,2 2
0 0,1,2,0,0,0,0,2 2
0 0,1,0,0,0,2,2,2 1
0 0,1,1,2,0,2,2,2 2
0 0,1,2,0,0,0,2,2 1
1 0,1,0,0,0,0,2,2 2
0 0,2,0,0,1,0,0,2 2
0 0,2,0,0,2,0,0,2 2
0 0,2,0,0,0,2,2,2 1
0 0,2,1,0,0,2,2,2 1
0 1,0,1,0,0,0,0,2 1
1 1,0,2,0,0,1,0,2 2
0 1,0,0,2,2,0,1,2 1
1 1,0,0,0,1,0,1,2 1
2 1,0,0,2,0,0,1,2 1
2 1,0,2,0,1,2,2,2 2
1 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,2,2 2
0 2,0,2,0,0,0,0,2 2
2 2,0,0,0,0,0,0,2 2
2 2,0,2,0,2,0,0,2 2
0 2,0,0,0,0,0,1,2 2
0 2,0,2,0,0,0,1,2 1
0 2,0,0,0,0,0,2,2 2
0 2,0,0,0,0,1,2,2 1
0 2,0,0,0,2,2,2,2 2
0 2,1,2,0,0,0,0,2 2
2 2,1,1,0,2,2,0,2 2
1 2,2,0,2,0,0,0,2 2
0 2,2,1,0,0,0,1,2 1
0 2,2,2,2,0,2,2,2 2
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
The caber tosser does not significantly increase the ordinal level beyond when using a gun; its purpose here is to provide a more predictable exit condition.
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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R2INT
Posts: 944
Joined: July 2nd, 2024, 7:42 pm

Re: Slowest one cell spaceships of each state count

Post by R2INT »

Draft for a slow mechanism on the order of omega. The state 2 domino is interacted with after an estimated 3^^3^^3^^3^^1087 (or 3^^^5) generations:

Code: Select all

x = 26, y = 3, rule = Ordinal_Test
24.C$2B7.C4.C3.C.AB2.2C$24.C!
@RULE Ordinal_Test
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
3 255,0,255
4 255,255,0
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 1
0 0,0,0,0,4,0,0,0 2
0 0,0,0,1,0,1,0,0 2
0 0,0,0,2,0,1,0,0 2
0 0,0,0,3,0,1,0,0 2
0 0,0,0,3,0,2,0,0 2
0 0,0,0,3,0,3,0,0 3
0 0,0,0,3,2,3,0,0 4
0 0,0,2,0,3,0,0,0 3
0 0,0,2,1,3,0,0,0 3
0 0,0,3,3,3,0,0,0 3
1 0,0,0,0,2,0,0,0 2
1 0,0,0,0,3,0,0,0 3
2 0,0,0,0,2,0,0,0 2
2 0,0,0,0,4,0,0,0 1
2 0,0,0,2,0,2,0,0 1
3 0,0,0,0,0,0,0,0 3
3 0,0,0,0,2,0,0,0 3
3 0,0,0,2,2,0,0,0 3
3 0,0,0,3,2,0,0,0 3
3 0,0,0,0,3,0,0,0 1
3 0,0,0,3,3,0,0,0 3
3 0,0,0,0,4,0,0,0 1
3 0,0,0,2,0,2,0,0 2
3 0,0,0,2,1,2,0,0 2
4 0,0,0,0,2,0,0,0 2
4 0,0,0,0,3,0,0,0 2
0 0,0,2,0,0,0,1,0 1
0 0,0,2,0,0,0,2,0 3
0 0,0,2,0,3,0,2,0 2
1 0,0,2,0,3,0,2,0 2
1 0,0,3,0,0,0,2,0 2
3 0,0,3,0,0,0,2,0 3
0 0,0,3,3,3,3,3,0 3
2 0,0,3,0,2,0,3,0 3
2 0,0,3,0,3,0,3,0 3
3 0,0,3,0,3,0,3,0 3
3 0,0,3,0,4,0,3,0 2
0 0,2,0,2,0,0,3,0 3
0 0,2,1,2,0,0,3,0 2
0 0,3,3,3,0,0,1,0 4
0 2,0,2,0,3,0,2,0 3
var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
Adding one dot to the line increases the lifetime to 3^^^^5:

Code: Select all

x = 30, y = 3, rule = Ordinal_Test
28.C$2B7.C4.C3.C3.C.AB2.2C$28.C!
@RULE Ordinal_Test
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
3 255,0,255
4 255,255,0
@TABLE
n_states:5
neighborhood:Moore
symmetries:rotate4reflect
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 1
0 0,0,0,0,4,0,0,0 2
0 0,0,0,1,0,1,0,0 2
0 0,0,0,2,0,1,0,0 2
0 0,0,0,3,0,1,0,0 2
0 0,0,0,3,0,2,0,0 2
0 0,0,0,3,0,3,0,0 3
0 0,0,0,3,2,3,0,0 4
0 0,0,2,0,3,0,0,0 3
0 0,0,2,1,3,0,0,0 3
0 0,0,3,3,3,0,0,0 3
1 0,0,0,0,2,0,0,0 2
1 0,0,0,0,3,0,0,0 3
2 0,0,0,0,2,0,0,0 2
2 0,0,0,0,4,0,0,0 1
2 0,0,0,2,0,2,0,0 1
3 0,0,0,0,0,0,0,0 3
3 0,0,0,0,2,0,0,0 3
3 0,0,0,2,2,0,0,0 3
3 0,0,0,3,2,0,0,0 3
3 0,0,0,0,3,0,0,0 1
3 0,0,0,3,3,0,0,0 3
3 0,0,0,0,4,0,0,0 1
3 0,0,0,2,0,2,0,0 2
3 0,0,0,2,1,2,0,0 2
4 0,0,0,0,2,0,0,0 2
4 0,0,0,0,3,0,0,0 2
0 0,0,2,0,0,0,1,0 1
0 0,0,2,0,0,0,2,0 3
0 0,0,2,0,3,0,2,0 2
1 0,0,2,0,3,0,2,0 2
1 0,0,3,0,0,0,2,0 2
3 0,0,3,0,0,0,2,0 3
0 0,0,3,3,3,3,3,0 3
2 0,0,3,0,2,0,3,0 3
2 0,0,3,0,3,0,3,0 3
3 0,0,3,0,3,0,3,0 3
3 0,0,3,0,4,0,3,0 2
0 0,2,0,2,0,0,3,0 3
0 0,2,1,2,0,0,3,0 2
0 0,3,3,3,0,0,1,0 4
0 2,0,2,0,3,0,2,0 3
var a1={0,1,2,3,4}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
EDIT: Implemented in a 3-state non-isotropic rule, with c/2 and c/3, giving us a base of 5. The second time the leftmost dot shifts in this example is T=5^^^^58.

Code: Select all

# Dot formations at T=0,
x = 34, y = 3, rule = Ordinal_Test
B6.B5.B6.B5.B5.2B$2A5.AB4.2A5.AB4.2A5.A$B6.B5.B6.B5.B5.2B!
@RULE Ordinal_Test
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 2
0 0,0,0,0,2,1,0,0 2
0 0,0,0,2,0,2,0,0 2
0 0,0,1,0,0,0,0,0 2
0 0,0,2,1,1,0,0,0 2
0 0,0,2,2,1,0,0,0 2
0 0,0,2,2,0,2,0,0 2
1 0,0,0,0,0,0,0,0 1
1 0,0,1,0,0,0,0,0 2
2 0,0,0,0,0,0,0,0 2
2 0,0,0,2,1,0,0,0 2
2 0,0,0,2,2,0,0,0 2
2 0,0,0,1,1,1,0,0 1
2 0,0,0,2,1,1,0,0 2
2 0,0,0,2,0,2,0,0 2
2 0,0,0,0,1,2,0,0 2
2 0,0,0,1,1,2,0,0 2
2 0,0,2,1,0,0,0,0 2
2 0,0,2,0,1,2,0,0 2
0 0,0,0,0,0,0,1,0 2
1 0,0,1,0,0,0,1,0 2
2 0,0,0,0,0,0,1,0 1
0 0,0,0,0,2,0,2,0 2
0 0,0,0,0,1,1,2,0 2
0 0,0,0,0,2,2,2,0 2
0 0,0,2,0,0,0,2,0 1
0 0,0,2,2,0,1,2,0 1
0 0,0,2,1,1,1,2,0 1
0 0,0,2,2,1,1,2,0 1
2 0,0,0,0,1,0,2,0 2
2 0,0,0,0,2,0,2,0 2
2 0,0,0,2,2,0,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,1,0,0,2,0 2
2 0,0,2,2,0,1,2,0 2
0 0,1,2,1,0,0,0,0 2
2 0,1,0,1,0,0,0,0 1
2 0,1,2,0,0,0,0,0 2
2 0,1,2,0,0,0,2,0 2
1 0,2,1,2,0,0,0,0 1
2 0,2,1,2,0,0,0,0 1
2 0,2,1,2,1,1,0,0 2
0 0,2,0,2,0,0,2,0 2
0 1,0,0,0,0,0,0,0 2
2 1,0,0,0,0,0,2,0 2
0 1,1,2,0,0,0,0,0 2
0 1,2,2,0,0,0,0,0 2
2 1,2,0,0,0,0,0,0 2
1 2,0,0,2,0,2,0,0 2
1 2,0,2,0,2,0,0,0 1
2 2,0,1,0,2,0,1,0 2
0 2,0,0,0,0,0,2,0 2
0 2,0,2,0,2,0,2,0 2
1 2,0,0,0,2,0,2,0 1
1 2,0,0,0,2,1,2,0 2
1 2,0,0,2,2,1,2,0 2
1 2,0,1,0,2,0,2,0 1
2 2,0,0,0,0,0,2,0 2
2 2,2,0,0,0,0,0,0 2
2 2,2,0,2,2,0,0,0 2
1 2,2,0,2,2,0,2,0 2
2 2,2,0,0,0,0,2,0 2
0 0,0,0,0,0,1,2,1 1
2 0,0,0,0,0,1,2,1 1
0 0,2,2,0,0,0,2,1 1
2 0,2,2,0,0,0,2,1 2
0 1,0,0,0,0,0,2,1 2
0 1,0,0,0,0,2,2,1 2
2 1,1,0,0,0,0,0,1 1
0 1,1,2,0,0,0,2,1 1
0 1,1,2,1,1,1,2,1 1
2 1,2,0,0,0,0,0,1 2
2 1,2,1,2,0,0,0,1 2
0 1,2,2,0,0,0,2,1 1
0 2,0,0,0,0,0,0,1 2
0 2,0,1,0,2,1,2,1 2
1 2,0,0,0,2,0,2,1 2
1 2,2,0,0,2,0,2,1 2
1 0,0,0,0,0,2,0,2 2
1 0,0,0,0,0,2,1,2 1
1 0,0,2,0,0,2,1,2 1
2 0,0,0,0,0,2,1,2 1
0 0,0,0,0,1,1,2,2 2
0 0,0,0,0,0,2,2,2 2
2 0,0,0,0,0,2,2,2 1
0 0,2,0,0,0,0,0,2 2
0 0,2,2,0,0,0,0,2 2
1 0,2,0,0,2,0,0,2 2
2 0,2,0,0,0,0,0,2 2
0 0,2,2,2,0,2,1,2 2
1 0,2,1,2,0,2,1,2 2
1 0,2,2,2,0,2,1,2 2
2 1,0,0,0,0,0,0,2 2
2 1,0,2,0,0,0,0,2 2
2 1,0,0,0,1,2,1,2 1
2 1,0,2,0,1,2,1,2 1
2 1,1,0,0,0,0,0,2 2
1 2,0,0,0,2,2,0,2 2
2 2,0,0,0,2,2,0,2 2
0 2,0,0,0,0,0,2,2 2
0 2,2,1,2,2,2,1,2 1
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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R2INT
Posts: 944
Joined: July 2nd, 2024, 7:42 pm

Re: Slowest one cell spaceships of each state count

Post by R2INT »

New 3-state record: c/(5 {8} 4)
In Knuth's up-arrow notation, this is 5^^^^^^^^4, or more accurately, 5 {7} 5 {7} 5 {7} 58.

Code: Select all

x = 1, y = 1, rule = slowship8
A!
@RULE slowship8
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 2
0 0,0,0,0,2,1,0,0 2
0 0,0,0,2,0,2,0,0 2
0 0,0,0,1,1,2,0,0 1
0 0,0,0,2,1,2,0,0 2
0 0,0,1,0,0,0,0,0 2
0 0,0,1,0,1,0,0,0 1
0 0,0,1,1,2,0,0,0 1
0 0,0,1,2,2,2,0,0 2
0 0,0,2,1,1,0,0,0 2
0 0,0,2,2,1,0,0,0 2
0 0,0,2,2,0,2,0,0 2
1 0,0,0,0,0,0,0,0 1
1 0,0,0,0,0,1,0,0 1
1 0,0,0,1,0,1,0,0 1
1 0,0,1,0,0,0,0,0 2
1 0,0,2,0,0,0,0,0 2
1 0,0,2,0,2,0,0,0 1
2 0,0,0,0,0,0,0,0 2
2 0,0,0,1,0,0,0,0 2
2 0,0,0,2,1,0,0,0 2
2 0,0,0,2,2,0,0,0 2
2 0,0,0,1,1,1,0,0 1
2 0,0,0,2,1,1,0,0 2
2 0,0,0,2,0,2,0,0 2
2 0,0,0,0,1,2,0,0 2
2 0,0,0,1,1,2,0,0 2
2 0,0,0,2,1,2,0,0 1
2 0,0,1,0,0,0,0,0 1
2 0,0,2,0,0,0,0,0 2
2 0,0,2,1,0,0,0,0 2
2 0,0,2,0,0,1,0,0 2
2 0,0,2,1,2,1,0,0 2
2 0,0,2,0,1,2,0,0 2
0 0,0,0,0,0,0,1,0 2
0 0,0,0,0,1,0,1,0 1
0 0,0,0,0,1,1,1,0 1
0 0,0,0,0,2,1,1,0 1
1 0,0,0,0,0,2,1,0 1
1 0,0,1,0,0,0,1,0 2
2 0,0,0,0,0,0,1,0 1
2 0,0,0,1,1,0,1,0 1
2 0,0,0,0,0,2,1,0 2
0 0,0,0,1,0,0,2,0 2
0 0,0,0,0,2,0,2,0 2
0 0,0,0,0,1,1,2,0 2
0 0,0,0,1,1,1,2,0 1
0 0,0,0,0,2,2,2,0 2
0 0,0,2,0,0,0,2,0 1
0 0,0,2,1,0,0,2,0 1
0 0,0,2,0,1,0,2,0 1
0 0,0,2,2,0,1,2,0 1
0 0,0,2,1,1,1,2,0 1
0 0,0,2,2,1,1,2,0 1
1 0,0,0,1,1,0,2,0 2
1 0,0,0,2,1,0,2,0 2
1 0,0,0,0,1,2,2,0 1
1 0,0,2,1,1,0,2,0 2
1 0,0,2,2,2,0,2,0 2
1 0,0,2,1,0,1,2,0 1
2 0,0,0,1,0,0,2,0 2
2 0,0,0,0,1,0,2,0 2
2 0,0,0,1,1,0,2,0 2
2 0,0,0,2,1,0,2,0 1
2 0,0,0,0,2,0,2,0 2
2 0,0,0,2,2,0,2,0 2
2 0,0,0,0,1,1,2,0 2
2 0,0,0,2,2,1,2,0 2
2 0,0,1,1,0,0,2,0 2
2 0,0,1,1,1,0,2,0 1
2 0,0,1,2,1,0,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,1,0,0,2,0 2
2 0,0,2,1,1,0,2,0 1
2 0,0,2,2,1,0,2,0 2
2 0,0,2,1,2,0,2,0 2
2 0,0,2,2,0,1,2,0 2
0 0,1,0,2,0,0,0,0 1
0 0,1,2,1,0,0,0,0 2
1 0,1,0,1,0,0,0,0 1
1 0,1,0,2,0,0,0,0 1
1 0,1,1,2,0,0,0,0 2
2 0,1,0,1,0,0,0,0 1
2 0,1,2,0,0,0,0,0 2
2 0,1,2,0,0,2,0,0 2
1 0,1,0,1,0,0,1,0 1
2 0,1,0,1,0,0,1,0 2
0 0,1,0,0,0,0,2,0 2
0 0,1,2,0,0,0,2,0 1
1 0,1,0,1,0,0,2,0 2
1 0,1,2,0,0,0,2,0 2
2 0,1,0,0,0,0,2,0 2
2 0,1,2,0,0,0,2,0 2
0 0,2,0,1,0,0,0,0 1
0 0,2,2,0,1,0,0,0 1
0 0,2,2,2,0,1,0,0 1
1 0,2,0,1,0,0,0,0 1
1 0,2,0,2,2,0,0,0 1
1 0,2,0,0,2,2,0,0 1
1 0,2,1,1,0,0,0,0 2
1 0,2,1,2,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,2,2,1,0,0,0,0 1
2 0,2,0,1,0,0,0,0 2
2 0,2,1,0,0,0,0,0 1
2 0,2,1,2,0,0,0,0 1
2 0,2,1,2,1,1,0,0 2
2 0,2,2,0,2,0,0,0 1
0 0,2,0,2,0,0,2,0 2
1 0,2,0,0,0,2,2,0 2
0 1,0,0,0,0,0,0,0 2
0 1,0,0,0,1,0,0,0 2
0 1,0,1,0,0,0,0,0 1
2 1,0,1,2,2,0,0,0 2
2 1,0,2,0,1,0,0,0 2
0 1,0,0,0,0,0,1,0 1
0 1,0,0,0,1,0,1,0 1
2 1,0,0,0,0,0,1,0 2
2 1,0,0,0,0,0,2,0 2
0 1,1,0,1,1,0,0,0 2
0 1,1,2,0,0,0,0,0 2
1 1,1,1,2,0,0,0,0 2
2 1,1,2,0,0,0,0,0 2
2 1,1,0,0,0,0,1,0 1
1 1,1,0,1,1,0,2,0 1
1 1,1,1,1,1,0,2,0 1
2 1,1,2,0,0,0,2,0 2
0 1,2,0,2,0,0,0,0 1
0 1,2,1,0,1,0,0,0 2
0 1,2,2,0,0,0,0,0 2
2 1,2,0,0,0,0,0,0 2
1 1,2,0,0,0,2,1,0 1
0 1,2,0,2,2,0,2,0 2
0 2,0,0,0,0,2,0,0 1
0 2,0,1,1,0,0,0,0 1
0 2,0,1,2,2,0,0,0 2
1 2,0,0,2,0,2,0,0 2
1 2,0,2,0,0,0,0,0 1
1 2,0,2,2,0,0,0,0 1
1 2,0,2,0,2,0,0,0 1
2 2,0,0,0,0,0,0,0 1
0 2,0,1,2,0,2,1,0 2
2 2,0,0,0,0,2,1,0 2
2 2,0,0,0,2,2,1,0 2
2 2,0,1,0,2,0,1,0 2
0 2,0,0,0,0,0,2,0 2
0 2,0,0,0,1,0,2,0 1
0 2,0,2,0,2,0,2,0 2
1 2,0,0,0,2,0,2,0 1
1 2,0,0,0,2,1,2,0 2
1 2,0,0,2,2,1,2,0 2
1 2,0,1,0,2,0,2,0 1
1 2,0,2,0,0,0,2,0 1
2 2,0,0,0,0,0,2,0 2
2 2,0,0,0,2,0,2,0 2
2 2,0,0,0,0,2,2,0 1
0 2,1,1,0,0,0,0,0 1
0 2,1,1,2,2,0,0,0 1
1 2,1,2,0,2,0,0,0 1
1 2,1,2,0,0,2,0,0 2
2 2,1,1,0,0,0,0,0 1
2 2,1,2,0,0,0,0,0 1
0 2,2,1,0,0,0,0,0 2
0 2,2,1,0,0,2,0,0 2
1 2,2,0,2,0,0,0,0 1
2 2,2,0,0,0,0,0,0 2
2 2,2,0,2,2,0,0,0 2
2 2,2,0,1,0,1,0,0 1
0 2,2,1,2,2,0,1,0 1
0 2,2,2,0,2,2,1,0 2
2 2,2,0,0,0,0,1,0 1
2 2,2,0,0,0,2,1,0 2
1 2,2,0,2,2,0,2,0 2
2 2,2,0,0,0,0,2,0 2
0 0,0,0,0,0,1,0,1 2
1 0,0,0,0,0,0,0,1 1
1 0,0,0,0,0,1,0,1 1
1 0,0,1,0,0,1,0,1 2
2 0,0,0,0,0,1,0,1 2
2 0,0,1,0,0,1,0,1 1
2 0,0,2,0,0,0,0,1 2
0 0,0,1,2,1,2,1,1 1
1 0,0,0,0,0,2,1,1 1
2 0,0,0,0,0,2,1,1 2
0 0,0,0,0,0,1,2,1 1
2 0,0,0,0,0,1,2,1 1
2 0,0,2,0,0,1,2,1 2
1 0,1,0,0,0,0,0,1 1
1 0,1,2,0,2,2,0,1 2
2 0,1,2,0,0,0,0,1 2
0 0,1,2,0,0,0,2,1 1
1 0,1,2,0,0,0,2,1 2
1 0,2,0,0,0,2,0,1 1
0 0,2,0,2,0,1,2,1 2
0 0,2,2,0,0,0,2,1 1
2 0,2,2,0,0,0,2,1 2
0 1,0,0,0,0,0,1,1 2
1 1,0,0,2,2,0,1,1 2
0 1,0,0,0,0,0,2,1 2
0 1,0,0,0,0,2,2,1 2
1 1,1,0,0,0,0,0,1 1
2 1,1,0,0,0,0,0,1 1
2 1,1,1,2,1,0,0,1 2
0 1,1,2,0,0,0,2,1 1
0 1,1,2,1,1,1,2,1 1
2 1,2,0,0,0,0,0,1 2
2 1,2,1,2,0,0,0,1 2
0 1,2,1,0,2,0,1,1 2
1 1,2,2,2,1,1,1,1 1
0 1,2,2,0,0,0,2,1 1
0 2,0,0,0,0,0,0,1 2
1 2,0,2,2,0,2,0,1 2
2 2,0,0,0,2,1,0,1 1
0 2,0,0,0,0,0,1,1 1
1 2,0,0,0,0,2,1,1 1
2 2,0,0,0,0,2,1,1 1
0 2,0,0,0,2,1,2,1 1
0 2,0,1,0,2,1,2,1 2
1 2,0,0,0,2,0,2,1 2
0 2,2,2,0,0,0,0,1 1
1 2,2,0,0,2,0,2,1 2
0 0,0,0,2,2,0,0,2 2
0 0,0,0,0,0,1,0,2 1
0 0,0,0,0,2,1,0,2 1
0 0,0,1,0,0,0,0,2 2
0 0,0,1,2,2,0,0,2 1
0 0,0,1,0,0,2,0,2 1
0 0,0,2,1,2,0,0,2 1
1 0,0,0,2,0,1,0,2 1
1 0,0,0,0,0,2,0,2 2
1 0,0,0,2,0,2,0,2 1
1 0,0,1,1,1,0,0,2 2
1 0,0,2,0,2,0,0,2 1
2 0,0,2,0,0,2,0,2 1
0 0,0,0,0,0,0,1,2 2
0 0,0,0,0,2,0,1,2 1
1 0,0,0,0,0,0,1,2 1
1 0,0,0,2,1,0,1,2 1
1 0,0,0,0,0,2,1,2 1
1 0,0,2,0,0,2,1,2 1
2 0,0,0,0,2,0,1,2 2
2 0,0,0,2,2,0,1,2 2
2 0,0,0,0,2,1,1,2 1
2 0,0,0,0,0,2,1,2 1
2 0,0,2,1,0,0,1,2 2
0 0,0,0,0,1,1,2,2 2
0 0,0,0,0,0,2,2,2 2
1 0,0,0,2,0,0,2,2 2
2 0,0,0,0,2,0,2,2 1
2 0,0,0,0,0,2,2,2 1
0 0,1,2,0,0,0,0,2 2
2 0,1,1,2,1,0,0,2 2
0 0,2,0,0,0,0,0,2 2
0 0,2,1,0,0,0,0,2 2
0 0,2,2,0,0,0,0,2 2
1 0,2,0,0,2,0,0,2 2
1 0,2,0,0,0,2,0,2 1
1 0,2,2,0,0,2,0,2 1
2 0,2,0,0,0,0,0,2 2
0 0,2,2,2,0,2,1,2 2
1 0,2,1,2,0,2,1,2 2
1 0,2,2,2,0,2,1,2 2
0 1,0,0,0,0,0,0,2 1
0 1,0,2,0,1,2,0,2 1
1 1,0,1,2,0,0,0,2 1
1 1,0,2,0,2,0,0,2 1
2 1,0,0,0,0,0,0,2 2
2 1,0,2,0,0,0,0,2 2
2 1,0,0,0,0,0,1,2 2
2 1,0,0,0,0,2,1,2 2
2 1,0,0,0,1,2,1,2 1
2 1,0,2,0,1,2,1,2 1
0 1,1,0,0,0,0,0,2 1
2 1,1,0,0,0,0,0,2 2
0 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,0,2 1
2 1,2,2,0,0,2,0,2 2
0 1,2,1,0,0,1,1,2 1
2 1,2,0,0,0,2,1,2 1
2 1,2,0,0,0,0,2,2 2
0 2,0,1,0,2,2,0,2 2
1 2,0,0,0,2,2,0,2 2
1 2,0,2,0,2,0,0,2 1
2 2,0,0,0,2,2,0,2 2
0 2,0,2,2,2,0,1,2 2
0 2,0,2,0,2,2,1,2 2
1 2,0,0,0,0,1,1,2 2
1 2,0,0,0,0,2,1,2 2
1 2,0,0,0,2,2,1,2 1
2 2,0,2,2,0,0,1,2 1
0 2,0,0,0,0,0,2,2 2
0 2,0,0,2,1,0,2,2 1
1 2,0,2,1,0,1,2,2 2
1 2,1,1,0,0,0,0,2 1
1 2,1,2,0,0,0,0,2 2
1 2,1,2,0,2,0,0,2 1
0 2,2,1,0,0,0,0,2 1
1 2,2,1,0,0,0,0,2 1
1 2,2,1,2,2,2,0,2 1
1 2,2,2,0,0,0,0,2 1
2 2,2,1,2,0,0,0,2 1
0 2,2,1,2,2,2,1,2 1
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
This spaceship uses a simple caber-tosser based mechanism that emulates Knuth's up-arrow notation without needing to use binary counters. The way it works:
  • A leftward c/2p bounces off of a dot, pushing the dot by one cell.
  • If a dot gets pushed into another dot, it pushes that dot and emits a rightward c/2o, as if it were hit by the c/2o instead of the dot. This reaction can be chained.
  • When a rightward c/2o hits the c/3o, it crystalizes into a chain of dots.
  • When a dot hits the 2-cell constellation, it gets eaten without releasing a spaceship. This repeats until the last dot is eaten, then the c/2o hits the constellation and initiates the self-destruct mechanism:

Code: Select all

x = 24, y = 3, rule = slowship8
B10.B10.2B$3.B6.BA11.A$B10.B10.2B!
@RULE slowship8
@COLORS
0 0,0,0
1 255,255,255
2 0,255,255
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
0 0,0,0,0,0,0,0,0 0
0 0,0,0,0,1,0,0,0 2
0 0,0,0,0,2,1,0,0 2
0 0,0,0,2,0,2,0,0 2
0 0,0,0,1,1,2,0,0 1
0 0,0,0,2,1,2,0,0 2
0 0,0,1,0,0,0,0,0 2
0 0,0,1,0,1,0,0,0 1
0 0,0,1,1,2,0,0,0 1
0 0,0,1,2,2,2,0,0 2
0 0,0,2,1,1,0,0,0 2
0 0,0,2,2,1,0,0,0 2
0 0,0,2,2,0,2,0,0 2
1 0,0,0,0,0,0,0,0 1
1 0,0,0,0,0,1,0,0 1
1 0,0,0,1,0,1,0,0 1
1 0,0,1,0,0,0,0,0 2
1 0,0,2,0,0,0,0,0 2
1 0,0,2,0,2,0,0,0 1
2 0,0,0,0,0,0,0,0 2
2 0,0,0,1,0,0,0,0 2
2 0,0,0,2,1,0,0,0 2
2 0,0,0,2,2,0,0,0 2
2 0,0,0,1,1,1,0,0 1
2 0,0,0,2,1,1,0,0 2
2 0,0,0,2,0,2,0,0 2
2 0,0,0,0,1,2,0,0 2
2 0,0,0,1,1,2,0,0 2
2 0,0,0,2,1,2,0,0 1
2 0,0,1,0,0,0,0,0 1
2 0,0,2,0,0,0,0,0 2
2 0,0,2,1,0,0,0,0 2
2 0,0,2,0,0,1,0,0 2
2 0,0,2,1,2,1,0,0 2
2 0,0,2,0,1,2,0,0 2
0 0,0,0,0,0,0,1,0 2
0 0,0,0,0,1,0,1,0 1
0 0,0,0,0,1,1,1,0 1
0 0,0,0,0,2,1,1,0 1
1 0,0,0,0,0,2,1,0 1
1 0,0,1,0,0,0,1,0 2
2 0,0,0,0,0,0,1,0 1
2 0,0,0,1,1,0,1,0 1
2 0,0,0,0,0,2,1,0 2
0 0,0,0,1,0,0,2,0 2
0 0,0,0,0,2,0,2,0 2
0 0,0,0,0,1,1,2,0 2
0 0,0,0,1,1,1,2,0 1
0 0,0,0,0,2,2,2,0 2
0 0,0,2,0,0,0,2,0 1
0 0,0,2,1,0,0,2,0 1
0 0,0,2,0,1,0,2,0 1
0 0,0,2,2,0,1,2,0 1
0 0,0,2,1,1,1,2,0 1
0 0,0,2,2,1,1,2,0 1
1 0,0,0,1,1,0,2,0 2
1 0,0,0,2,1,0,2,0 2
1 0,0,0,0,1,2,2,0 1
1 0,0,2,1,1,0,2,0 2
1 0,0,2,2,2,0,2,0 2
1 0,0,2,1,0,1,2,0 1
2 0,0,0,1,0,0,2,0 2
2 0,0,0,0,1,0,2,0 2
2 0,0,0,1,1,0,2,0 2
2 0,0,0,2,1,0,2,0 1
2 0,0,0,0,2,0,2,0 2
2 0,0,0,2,2,0,2,0 2
2 0,0,0,0,1,1,2,0 2
2 0,0,0,2,2,1,2,0 2
2 0,0,1,1,0,0,2,0 2
2 0,0,1,1,1,0,2,0 1
2 0,0,1,2,1,0,2,0 2
2 0,0,2,0,0,0,2,0 2
2 0,0,2,1,0,0,2,0 2
2 0,0,2,1,1,0,2,0 1
2 0,0,2,2,1,0,2,0 2
2 0,0,2,1,2,0,2,0 2
2 0,0,2,2,0,1,2,0 2
0 0,1,0,2,0,0,0,0 1
0 0,1,2,1,0,0,0,0 2
1 0,1,0,1,0,0,0,0 1
1 0,1,0,2,0,0,0,0 1
1 0,1,1,2,0,0,0,0 2
2 0,1,0,1,0,0,0,0 1
2 0,1,2,0,0,0,0,0 2
2 0,1,2,0,0,2,0,0 2
1 0,1,0,1,0,0,1,0 1
2 0,1,0,1,0,0,1,0 2
0 0,1,0,0,0,0,2,0 2
0 0,1,2,0,0,0,2,0 1
1 0,1,0,1,0,0,2,0 2
1 0,1,2,0,0,0,2,0 2
2 0,1,0,0,0,0,2,0 2
2 0,1,2,0,0,0,2,0 2
0 0,2,0,1,0,0,0,0 1
0 0,2,2,0,1,0,0,0 1
0 0,2,2,2,0,1,0,0 1
1 0,2,0,1,0,0,0,0 1
1 0,2,0,2,2,0,0,0 1
1 0,2,0,0,2,2,0,0 1
1 0,2,1,1,0,0,0,0 2
1 0,2,1,2,0,0,0,0 1
1 0,2,1,0,1,2,0,0 1
1 0,2,2,1,0,0,0,0 1
2 0,2,0,1,0,0,0,0 2
2 0,2,1,0,0,0,0,0 1
2 0,2,1,2,0,0,0,0 1
2 0,2,1,2,1,1,0,0 2
2 0,2,2,0,2,0,0,0 1
0 0,2,0,2,0,0,2,0 2
1 0,2,0,0,0,2,2,0 2
0 1,0,0,0,0,0,0,0 2
0 1,0,0,0,1,0,0,0 2
0 1,0,1,0,0,0,0,0 1
2 1,0,1,2,2,0,0,0 2
2 1,0,2,0,1,0,0,0 2
0 1,0,0,0,0,0,1,0 1
0 1,0,0,0,1,0,1,0 1
2 1,0,0,0,0,0,1,0 2
2 1,0,0,0,0,0,2,0 2
0 1,1,0,1,1,0,0,0 2
0 1,1,2,0,0,0,0,0 2
1 1,1,1,2,0,0,0,0 2
2 1,1,2,0,0,0,0,0 2
2 1,1,0,0,0,0,1,0 1
1 1,1,0,1,1,0,2,0 1
1 1,1,1,1,1,0,2,0 1
2 1,1,2,0,0,0,2,0 2
0 1,2,0,2,0,0,0,0 1
0 1,2,1,0,1,0,0,0 2
0 1,2,2,0,0,0,0,0 2
2 1,2,0,0,0,0,0,0 2
1 1,2,0,0,0,2,1,0 1
0 1,2,0,2,2,0,2,0 2
0 2,0,0,0,0,2,0,0 1
0 2,0,1,1,0,0,0,0 1
0 2,0,1,2,2,0,0,0 2
1 2,0,0,2,0,2,0,0 2
1 2,0,2,0,0,0,0,0 1
1 2,0,2,2,0,0,0,0 1
1 2,0,2,0,2,0,0,0 1
2 2,0,0,0,0,0,0,0 1
0 2,0,1,2,0,2,1,0 2
2 2,0,0,0,0,2,1,0 2
2 2,0,0,0,2,2,1,0 2
2 2,0,1,0,2,0,1,0 2
0 2,0,0,0,0,0,2,0 2
0 2,0,0,0,1,0,2,0 1
0 2,0,2,0,2,0,2,0 2
1 2,0,0,0,2,0,2,0 1
1 2,0,0,0,2,1,2,0 2
1 2,0,0,2,2,1,2,0 2
1 2,0,1,0,2,0,2,0 1
1 2,0,2,0,0,0,2,0 1
2 2,0,0,0,0,0,2,0 2
2 2,0,0,0,2,0,2,0 2
2 2,0,0,0,0,2,2,0 1
0 2,1,1,0,0,0,0,0 1
0 2,1,1,2,2,0,0,0 1
1 2,1,2,0,2,0,0,0 1
1 2,1,2,0,0,2,0,0 2
2 2,1,1,0,0,0,0,0 1
2 2,1,2,0,0,0,0,0 1
0 2,2,1,0,0,0,0,0 2
0 2,2,1,0,0,2,0,0 2
1 2,2,0,2,0,0,0,0 1
2 2,2,0,0,0,0,0,0 2
2 2,2,0,2,2,0,0,0 2
2 2,2,0,1,0,1,0,0 1
0 2,2,1,2,2,0,1,0 1
0 2,2,2,0,2,2,1,0 2
2 2,2,0,0,0,0,1,0 1
2 2,2,0,0,0,2,1,0 2
1 2,2,0,2,2,0,2,0 2
2 2,2,0,0,0,0,2,0 2
0 0,0,0,0,0,1,0,1 2
1 0,0,0,0,0,0,0,1 1
1 0,0,0,0,0,1,0,1 1
1 0,0,1,0,0,1,0,1 2
2 0,0,0,0,0,1,0,1 2
2 0,0,1,0,0,1,0,1 1
2 0,0,2,0,0,0,0,1 2
0 0,0,1,2,1,2,1,1 1
1 0,0,0,0,0,2,1,1 1
2 0,0,0,0,0,2,1,1 2
0 0,0,0,0,0,1,2,1 1
2 0,0,0,0,0,1,2,1 1
2 0,0,2,0,0,1,2,1 2
1 0,1,0,0,0,0,0,1 1
1 0,1,2,0,2,2,0,1 2
2 0,1,2,0,0,0,0,1 2
0 0,1,2,0,0,0,2,1 1
1 0,1,2,0,0,0,2,1 2
1 0,2,0,0,0,2,0,1 1
0 0,2,0,2,0,1,2,1 2
0 0,2,2,0,0,0,2,1 1
2 0,2,2,0,0,0,2,1 2
0 1,0,0,0,0,0,1,1 2
1 1,0,0,2,2,0,1,1 2
0 1,0,0,0,0,0,2,1 2
0 1,0,0,0,0,2,2,1 2
1 1,1,0,0,0,0,0,1 1
2 1,1,0,0,0,0,0,1 1
2 1,1,1,2,1,0,0,1 2
0 1,1,2,0,0,0,2,1 1
0 1,1,2,1,1,1,2,1 1
2 1,2,0,0,0,0,0,1 2
2 1,2,1,2,0,0,0,1 2
0 1,2,1,0,2,0,1,1 2
1 1,2,2,2,1,1,1,1 1
0 1,2,2,0,0,0,2,1 1
0 2,0,0,0,0,0,0,1 2
1 2,0,2,2,0,2,0,1 2
2 2,0,0,0,2,1,0,1 1
0 2,0,0,0,0,0,1,1 1
1 2,0,0,0,0,2,1,1 1
2 2,0,0,0,0,2,1,1 1
0 2,0,0,0,2,1,2,1 1
0 2,0,1,0,2,1,2,1 2
1 2,0,0,0,2,0,2,1 2
0 2,2,2,0,0,0,0,1 1
1 2,2,0,0,2,0,2,1 2
0 0,0,0,2,2,0,0,2 2
0 0,0,0,0,0,1,0,2 1
0 0,0,0,0,2,1,0,2 1
0 0,0,1,0,0,0,0,2 2
0 0,0,1,2,2,0,0,2 1
0 0,0,1,0,0,2,0,2 1
0 0,0,2,1,2,0,0,2 1
1 0,0,0,2,0,1,0,2 1
1 0,0,0,0,0,2,0,2 2
1 0,0,0,2,0,2,0,2 1
1 0,0,1,1,1,0,0,2 2
1 0,0,2,0,2,0,0,2 1
2 0,0,2,0,0,2,0,2 1
0 0,0,0,0,0,0,1,2 2
0 0,0,0,0,2,0,1,2 1
1 0,0,0,0,0,0,1,2 1
1 0,0,0,2,1,0,1,2 1
1 0,0,0,0,0,2,1,2 1
1 0,0,2,0,0,2,1,2 1
2 0,0,0,0,2,0,1,2 2
2 0,0,0,2,2,0,1,2 2
2 0,0,0,0,2,1,1,2 1
2 0,0,0,0,0,2,1,2 1
2 0,0,2,1,0,0,1,2 2
0 0,0,0,0,1,1,2,2 2
0 0,0,0,0,0,2,2,2 2
1 0,0,0,2,0,0,2,2 2
2 0,0,0,0,2,0,2,2 1
2 0,0,0,0,0,2,2,2 1
0 0,1,2,0,0,0,0,2 2
2 0,1,1,2,1,0,0,2 2
0 0,2,0,0,0,0,0,2 2
0 0,2,1,0,0,0,0,2 2
0 0,2,2,0,0,0,0,2 2
1 0,2,0,0,2,0,0,2 2
1 0,2,0,0,0,2,0,2 1
1 0,2,2,0,0,2,0,2 1
2 0,2,0,0,0,0,0,2 2
0 0,2,2,2,0,2,1,2 2
1 0,2,1,2,0,2,1,2 2
1 0,2,2,2,0,2,1,2 2
0 1,0,0,0,0,0,0,2 1
0 1,0,2,0,1,2,0,2 1
1 1,0,1,2,0,0,0,2 1
1 1,0,2,0,2,0,0,2 1
2 1,0,0,0,0,0,0,2 2
2 1,0,2,0,0,0,0,2 2
2 1,0,0,0,0,0,1,2 2
2 1,0,0,0,0,2,1,2 2
2 1,0,0,0,1,2,1,2 1
2 1,0,2,0,1,2,1,2 1
0 1,1,0,0,0,0,0,2 1
2 1,1,0,0,0,0,0,2 2
0 1,2,0,0,0,0,0,2 2
2 1,2,0,0,0,0,0,2 1
2 1,2,2,0,0,2,0,2 2
0 1,2,1,0,0,1,1,2 1
2 1,2,0,0,0,2,1,2 1
2 1,2,0,0,0,0,2,2 2
0 2,0,1,0,2,2,0,2 2
1 2,0,0,0,2,2,0,2 2
1 2,0,2,0,2,0,0,2 1
2 2,0,0,0,2,2,0,2 2
0 2,0,2,2,2,0,1,2 2
0 2,0,2,0,2,2,1,2 2
1 2,0,0,0,0,1,1,2 2
1 2,0,0,0,0,2,1,2 2
1 2,0,0,0,2,2,1,2 1
2 2,0,2,2,0,0,1,2 1
0 2,0,0,0,0,0,2,2 2
0 2,0,0,2,1,0,2,2 1
1 2,0,2,1,0,1,2,2 2
1 2,1,1,0,0,0,0,2 1
1 2,1,2,0,0,0,0,2 2
1 2,1,2,0,2,0,0,2 1
0 2,2,1,0,0,0,0,2 1
1 2,2,1,0,0,0,0,2 1
1 2,2,1,2,2,2,0,2 1
1 2,2,2,0,0,0,0,2 1
2 2,2,1,2,0,0,0,2 1
0 2,2,1,2,2,2,1,2 1
var a1={0,1,2}
var a2=a1
var a3=a1
var a4=a1
var a5=a1
var a6=a1
var a7=a1
var a8=a1
var a9=a1
a1 a2,a3,a4,a5,a6,a7,a8,a9 0
The second time the second dot is pushed is at T=10842021724855044340074528008699417114258965 (10.8 quattordecillion, approximately 5^58), and the third time it is pushed is at about 5^5^58. It takes over a googolplex of generations for the fourth dot to be pushed, and it hasn't even started with the rest of the 6 dots yet.
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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