Slowest one cell spaceships of each state count

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blah
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Re: Slowest one cell spaceships of each state count

Post by blah »

gameoflifemaniac wrote: April 23rd, 2020, 6:50 am By the way, can someone help me find the slowest ship?
I'm doubtful that we could practically prove that any particular ship is actually the slowest one. For one, roughly 2^512 rules is far too much to exhaustively enumerate, and how could we determine with mathematical certainty that any given explosion will never settle back down into a single cell after a huge number of generations? I'm pretty sure that taking a rule and determining if a single cell is a spaceship in that rule is undecidable, and practically impossible to truly know if it doesn't settle down, and if the rule can't be proven to not support such ships.

Consider, though, the JvN equivalent of MAP rules. Here's a 1-cell c/2 spaceship in one of them:

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@RULE 2SslowJvN
@TABLE
n_states:3
neighborhood:vonNeumann
symmetries:none
var a={0,1,2}
var b=a
var c=a
var d=a
var e=a

1,1,1,1,2,1
1,2,1,2,2,1

1,b,c,d,e,2
2,b,c,d,e,1

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x = 19, y = 13, rule = 2SslowJvN
19A$19A$19A$19A$19A$19A$5AB13A$19A$19A$19A$19A$19A$19A!

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x = 1, y = 1, rule = MAP//8AADP/AAD//wAAM/8AAP//AADM/wAA//8AAMz/AAD//wAAM/8AAP//AAAz/wAA//8AAMz/AAD//wAAzP8AAP
o!
I think we can prove that slower than this is impossible in the 2-state JvN neighbourhood. In order to advance in a given direction, a transition much be present that causes the ship, in either phase, to leave its bounding box. Thus, either of these (and equivalents in other directions):

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 0             1
100 -> 0  or  011 -> 1
 0             1
Thus, since only 1 cell within the bounding box is in any nearby cell's neighbourhood, it must either advance on none, one, or both of the 2 phases of the universe. Thus c/2 is the hard limit. I believe a similar proof applies to hexagonal rules.

EDIT: The OP should be updated to reflect the new record of C/12.
succ
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gameoflifemaniac
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

blah wrote:For one, roughly 2^512 rules is far too much to exhaustively enumerate, and how could we determine with mathematical certainty that any given explosion will never settle back down into a single cell after a huge number of generations?
I tried to begin with a template (B012345678/S):
and try to change some transitions in it (that's what I did to find the C/12. This drastically reduces the number of rules we'd have to search. All the other non-isotropic rules would be useless (B1 without B0 would give always C and without both B1 and B0 would give nothing). Making a script that would randomly change those transitions wouldn't be that hard, I think. But I'm not as smart as you all, lifeenthusiasts.

EDIT: C/16:

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@RULE slowship2statetest3
@TABLE
n_states:3
neighborhood:Moore
symmetries:none

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a

2,2,2,2,2,2,2,1,2,2
2,2,1,1,1,1,1,2,1,2
2,1,2,2,1,2,2,1,1,2
2,1,2,1,1,1,1,2,1,2
2,1,2,1,2,2,2,1,2,2
2,2,2,1,1,2,1,2,2,2
2,1,1,1,2,2,2,1,2,2

1,1,1,1,1,2,2,1,1,1
1,2,2,1,1,1,1,2,1,1
1,1,2,2,2,1,2,1,2,1
1,2,1,1,1,1,1,2,1,1
1,2,2,2,2,1,2,2,2,1
1,1,2,2,2,1,2,2,2,1
1,1,1,1,1,2,1,2,1,1
1,2,1,2,1,1,1,2,1,1
1,2,2,2,2,1,1,1,2,1
1,1,2,2,2,2,2,1,1,1
1,1,2,1,1,1,1,1,2,1
1,2,1,1,1,2,2,2,2,1
1,1,1,2,2,2,2,2,1,1
1,2,2,2,2,1,1,1,2,1
1,1,2,2,2,2,1,1,1,1

1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,1

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x = 85, y = 73, rule = slowship2statetest3
85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$
85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$
85A$85A$85A$85A$85A$19AB65A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$
85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$85A$
85A$85A$85A$85A$85A$85A!

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x = 1, y = 1, rule = MAP/f8AAN/+AAD/7gAC//+AAP//AAB/f4AA//8AAH//AAD//wEA//8AAH/7AQD/+wAA//8AAP3/AAD/vwAB//sgAP
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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gameoflifemaniac
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

C/24:

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@RULE slowship2statetest4
@TABLE
n_states:3
neighborhood:Moore
symmetries:none

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a

2,2,2,2,2,2,2,1,2,2
2,2,2,2,2,1,1,2,2,2
2,1,1,2,2,2,2,1,2,2
2,2,1,2,1,1,2,2,1,2
2,2,1,1,2,2,1,1,2,2
2,1,1,1,1,1,2,1,1,2
2,1,1,1,1,1,2,2,1,2
2,2,2,2,2,1,1,1,2,2
2,1,1,1,2,2,2,2,1,2
2,2,1,2,1,1,1,2,2,2
2,2,1,1,2,2,2,1,1,2
2,1,1,1,2,2,2,2,2,2

1,1,1,1,1,2,2,2,1,1
1,2,2,2,2,1,1,1,2,1
1,1,1,1,1,1,2,1,2,1
1,2,1,1,1,2,1,2,2,1
1,1,2,2,2,2,2,2,2,1
1,1,2,2,2,1,2,2,2,1
1,2,2,2,2,1,2,2,2,1
1,1,2,2,2,2,2,1,2,1
1,1,1,1,1,2,1,2,1,1
1,2,1,2,2,2,2,2,2,1
1,2,1,1,1,2,2,2,2,1
1,1,2,2,2,1,1,2,2,1

1,a,b,c,d,e,f,g,h,2
2,a,b,c,d,e,f,g,h,1

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x = 73, y = 73, rule = slowship2statetest4
73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$
73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$
73A$73A$73A$16AB56A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$
73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$73A$
73A$73A$73A$73A$73A$73A!

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x = 1, y = 1, rule = MAP//8IAN3/CQD//wAA//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+AID/vwBB//sAQP
o!
Is anyone else trying to find slow ships btw?
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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blah
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Re: Slowest one cell spaceships of each state count

Post by blah »

gameoflifemaniac wrote: April 27th, 2020, 10:23 amIs anyone else trying to find slow ships btw?
I've been writing a search program, epsrc, for this task, but it hasn't given very good results, at least so far. Given your p24 rule, the only real change I've been able to get are p6es (new period, at least):

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x = 1, y = 1, rule = MAP7/8IAN3/CQD//wAA//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+AID/vwBB//sAQH
o!
Also, here's a 2c/4 generated by epsrc:

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x = 1, y = 1, rule = MAPk0hYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
o!
Weird p12 oscillator, found using your p16 as a base:

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x = 1, y = 1, rule = MAP/M8AAN/+AAD/7gAC//+AAP//AAB/f4AA//8AAH//AAD//wEA//8AAH/7AQD/+wAA//8AAP3/AAD/vwAB//sgAH
o!
I'm sure with more work I could get more interesting results. For one, automatically detecting the transitions that actually occur and then only modifying those would help reduce search spaces drastically. And I wonder what would happen if you threw a SAT solver at this (!!!). Either way though, I don't think any automated search solution could beat an engineered rule that creates some mechanism, like a binary counter or sequence of them, and uses it to achieve an incredibly low speed. In particular, I see no reason why the mechanism used in this post can't be done in 2 states.

Maybe if there's interest I'll polish up epsrc and eventually post it.
succ
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

blah wrote: April 29th, 2020, 10:40 am
gameoflifemaniac wrote: April 27th, 2020, 10:23 amIs anyone else trying to find slow ships btw?
I've been writing a search program, epsrc, for this task, but it hasn't given very good results, at least so far. Given your p24 rule, the only real change I've been able to get are p6es (new period, at least):

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x = 1, y = 1, rule = MAP7/8IAN3/CQD//wAA//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+AID/vwBB//sAQH
o!
Also, here's a 2c/4 generated by epsrc:

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x = 1, y = 1, rule = MAPk0hYAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
o!
Weird p12 oscillator, found using your p16 as a base:

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x = 1, y = 1, rule = MAP/M8AAN/+AAD/7gAC//+AAP//AAB/f4AA//8AAH//AAD//wEA//8AAH/7AQD/+wAA//8AAP3/AAD/vwAB//sgAH
o!
I'm sure with more work I could get more interesting results. For one, automatically detecting the transitions that actually occur and then only modifying those would help reduce search spaces drastically. And I wonder what would happen if you threw a SAT solver at this (!!!). Either way though, I don't think any automated search solution could beat an engineered rule that creates some mechanism, like a binary counter or sequence of them, and uses it to achieve an incredibly low speed. In particular, I see no reason why the mechanism used in this post can't be done in 2 states.

Maybe if there's interest I'll polish up epsrc and eventually post it.
I'm really excited to see what we can discover soon! And yes, I'm really interested in the program!
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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blah
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Re: Slowest one cell spaceships of each state count

Post by blah »

Doing some more work on my search program. It's still not at a point where I'm comfortable with posting it, but it'll get there soon(tm), hopefully.
My first new record found with it was a c/28 based on the c/24 a few posts back:

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x = 1, y = 1, rule = MAP//8IAN3/CQD//wAG//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+AID/vwBB//sAQA
o!
I then managed to get it to c/30:

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x = 1, y = 1, rule = MAP//8IAN3/CQD//wAG//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+UoD/vwBB//sAQA
o!
Related p32 oscillator:

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x = 1, y = 1, rule = MAP//8IAN3/CQD//wAG//8AAP//AQD//wAI//8AAP//AAD3/wAB//8BAP/+AAD/ugAA//8QAN3+W4D/vwBB//sAQA
o!
Here's a bunch of results from a search looking at alterations to a simple rule with a p2 1-cell oscillator. The high period ones in particular are pretty interesting and sparky. (Note: I didn't actually run the search in full, it probably would've gone on forever):

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$ ./epsrc enum MAPaYCAAIAAAAGAQQAAAAAAAYAAAAAAAAAAAAAAEQAAAAGAAAAACQAAAQAAAAAAAAAAAAAAAAAAAwGAQAAQCAAC2g MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAM
p2 (0,0): MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (0,1): MAPwQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (0,2): MAPwAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (1,0): MAPwAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (1,1): MAPwAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (0,4): MAPoIAAAAAAAAEAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (1,2): MAPwAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (2,0): MAPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (4,0): MAPoIAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (2,1): MAPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (2,2): MAPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (0,3): MAPgQAAAAAAAAGAQAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (0,2): MAPwAAAAAAAAAGAAQAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (1,3): MAPgAAAAAAAAAGAAAAAAAAAAYAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (1,2): MAPgICAAIAAAAGAAAAAAAAAAYAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (3,0): MAPiQAAAIAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAEAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (2,0): MAPyAAAAIAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAEAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (2,4): MAPgYAAAAAAAAGAQQAAAAAAAYAAAAAAAAAAAAAAEAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (3,1): MAPiAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAEQAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (4,2): MAPqQAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAEQAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (2,1): MAPqACAAIAAAAAAAAAAAAAAAIAAAAAAAAAAAAAAEQAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (2,2): MAPyACAAIAAAACAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (-1,0): MAPiAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (3,3): MAPwAAAAAAAAACAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (0,8): MAPqAAAAIAAAAAAQQAAAAAAAQAAAAAAAAAAAAAAAAAAAACAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (0,4): MAPgQAAAAAAAAGAQAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p16 (12,4): MAPyYAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAEQAAAACAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (4,3): MAPyACAAIAAAACAQAAAAAAAAIAAAAAAAAAAAAAAEQAAAAGAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (-1,1): MAPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (2,2): MAPiIAAAAAAAAGAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (2,4): MAPoIAAAAAAAACAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p14 (-1,3): MAPwQAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p10 (-1,3): MAP4QAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (-3,4): MAPiQAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (0,1): MAPwIAAAAAAAACAAQAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (4,2): MAPwIAAAAAAAACAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAAGAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (3,4): MAPwYAAAAAAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p14 (1,3): MAPiYAAAAAAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p10 (1,3): MAPqYAAAAAAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p14 (5,8): MAPoIAAAAAAAAGAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p12 (4,7): MAPoYAAAAAAAAGAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (-3,3): MAPiAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p8 (-2,2): MAPwAAAAIAAAAEAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p14 (-5,8): MAPoAAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p12 (-4,7): MAPoQAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (-1,2): MAPwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (-2,4): MAPwAAAAIAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (-1,3): MAPgAAAAAAAAAGAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p4 (-1,2): MAPgICAAIAAAAGAAAAAAAAAAIAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p6 (-2,4): MAPiQAAAIAAAAGAAAAAAAAAAIAAAAAAAAAAAAAAEAAAAACAAAAACQAAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
p2 (-2,0): MAPoAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAG
p6 (-3,0): MAPwYAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAAAAAAAAAAAAAAAAAAAAAgAAAAAAAAAAAG
Here's the p16 in LifeViewer:

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x = 1, y = 1, rule = MAPyYAAAIAAAAEAQQAAAAAAAAAAAAAAAAAAAAAAEQAAAACAAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAG
o!
EDIT: A bunch more results, many with far higher periods (I did not run this search to completion either):

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$ ./epsrc enum MAPe9Hj0O8 MAPqcEAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH -p 120
p2 (1,1): MAPgAAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p10 (3,5): MAPwIAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (2,4): MAP0IAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (2,3): MAP8IAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (1,3): MAPmIAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (1,3): MAPuIAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (3,5): MAPioAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (3,4): MAPwYAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (1,2): MAPoYAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (2,2): MAPqMAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (3,8): MAP2sAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (2,3): MAPgcAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p22 (7,13): MAP4cAAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (2,4): MAPsIEAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p8 (3,5): MAP8IEAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p10 (4,6): MAP+IEAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (6,10): MAPwZEAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (2,2): MAPkIBAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p10 (4,5): MAP2IBAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (4,7): MAPgNBAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (5,11): MAP0NFAAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p30 (10,17): MAP4cAgAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p20 (6,12): MAP4dAgAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p28 (9,19): MAPwMFCAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p38 (6,21): MAPyNABAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p88 (24,64): MAPydEBAAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p6 (1,4): MAPoIAAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p14 (3,6): MAPiMAAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (2,7): MAPidAAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p14 (5,9): MAP4YEAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (4,8): MAP8cEAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (5,8): MAPyJBAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (3,6): MAP6JBAgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p14 (4,7): MAPyJBggAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p44 (13,31): MAP+tEBgAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p10 (2,2): MAPqIAAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p10 (2,4): MAPioAAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (6,19): MAPyMAAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p14 (3,7): MAPysAAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p32 (6,18): MAPyNAAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p18 (7,11): MAPqYEAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p60 (20,40): MAPqcEAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p38 (10,21): MAPyJBAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (8,19): MAP6JBAQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p36 (9,20): MAPyJBgQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p118 (40,78): MAP6ZFgQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p40 (9,22): MAP6IBCQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p40 (14,26): MAPqcFCQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p38 (9,21): MAP6IBiQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p36 (6,20): MAPyNABQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p40 (12,28): MAPycEBQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p24 (8,16): MAP6cEBQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p112 (36,76): MAPyZFhQAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p20 (7,13): MAP6pEAwAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p76 (23,53): MAP+pEgwAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p24 (9,15): MAPyYFCwAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p80 (24,56): MAP+oEiwAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p40 (11,29): MAP8oEjwAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p36 (12,20): MAP4YAAEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (5,10): MAPyYAAEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p26 (8,15): MAP4ZAAEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p46 (13,29): MAP4dAAEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p18 (5,11): MAP4ZACEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p44 (12,28): MAP4cABEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p104 (31,73): MAPycEBEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p58 (17,41): MAPycFBEAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p68 (22,46): MAPyYEAUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p58 (18,40): MAPyZEAUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p28 (6,13): MAPgYBAUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p64 (22,42): MAPycFAUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p72 (11,41): MAPiJAgUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p30 (10,20): MAPycEgUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p120 (38,82): MAPqYFgUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p46 (15,31): MAPycFgUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p64 (20,44): MAPydFgUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p90 (28,62): MAPmNECUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p110 (19,63): MAPyIBCUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p44 (14,30): MAPycFCUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p120 (18,68): MAPyIBiUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p22 (7,15): MAPydEBUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p100 (29,64): MAPyYAjUAIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p14 (6,8): MAP2sEgAEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p68 (23,45): MAP6cFjAEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p46 (14,32): MAP+sEAgEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p22 (8,14): MAPwYFAgEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p18 (6,12): MAPyoEggEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (4,6): MAPiYAAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (10,21): MAPydAAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p20 (8,12): MAPqYEAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p70 (25,45): MAPisEAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (10,19): MAPyJBAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p30 (8,17): MAP6JBAQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p38 (11,21): MAPyZAgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p16 (7,9): MAPioEgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p36 (13,23): MAPmsEgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p24 (10,14): MAPyZEgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p32 (9,18): MAPyJBgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p30 (9,17): MAPyZBgQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p38 (13,25): MAPytEhQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p62 (22,40): MAPisEDQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p74 (25,49): MAPypFDQEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p72 (22,50): MAP6tEAwEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p52 (17,30): MAP4cAAEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p12 (5,7): MAPmoEAEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p28 (10,18): MAPmMEAEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (12,22): MAPisEAEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p108 (15,59): MAPiJBgEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p68 (19,44): MAP4dACEEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p24 (7,14): MAPyYAAkEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (11,23): MAPytEAUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p36 (12,24): MAP2tEAUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p96 (14,51): MAPiJBAUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p64 (16,37): MAP6ZACUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p32 (11,21): MAP2tEBUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p76 (25,51): MAP2oFDUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p114 (34,80): MAPmNEjUEIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p28 (6,16): MAP6MAAACIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p18 (3,9): MAPysAAACIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p26 (7,17): MAPyNBgACIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p56 (16,40): MAP6dEBACIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p62 (19,43): MAP+sEggCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p54 (16,38): MAP84EigCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p70 (12,39): MAPyMAAQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p30 (6,17): MAPyNAAQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p76 (12,40): MAPyJBAQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p40 (11,24): MAP6NBAQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p62 (10,33): MAPyJBgQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p72 (12,38): MAPyJBCQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p68 (21,47): MAPydEBQCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p64 (21,43): MAP8ZFCwCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p62 (18,44): MAP6IEBwCIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p22 (5,13): MAPyMACECIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p34 (8,21): MAPyNBCECIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
p52 (14,34): MAP4cADECIAAAGAAQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
EDIT 2: p578 (119,321):

Code: Select all

x = 1, y = 1, rule = MAPyIBiUAIAAAGAAQAAAAAA7HAAAAABLAAAAAAAAAAArmoAAAAACQAAwAAIYAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
Last edited by blah on May 8th, 2020, 8:32 pm, edited 2 times in total.
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toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
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Re: Slowest one cell spaceships of each state count

Post by toroidalet »

Here is an unfinished rule for a spaceship with speed on the order of 2^(2^(7 million)):

Code: Select all

@RULE 1C3SShip (incomplete)
@TABLE
n_states:3
neighborhood:Moore
symmetries:none
#delay
0,0,0,0,0,2,1,2,0,2
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
#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
1,1,1,0,0,2,2,0,0,2
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
2,0,0,0,0,0,0,1,1,0
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
#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
#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
#ending
2,2,0,2,0,0,0,0,0,0
2,0,0,0,2,0,0,0,0,0
2,0,0,0,0,0,0,0,0,1
#diagonal mode
#2,0,0,0,2,0,0,0,0,0
#2,0,1,0,0,0,0,0,2,0
#0,0,0,1,0,2,0,2,0,1
#extra length
2,0,2,1,2,0,0,1,1,1
2,1,0,0,1,1,0,0,1,1
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
#back up
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
#TODO: convert binary counter push into binary counter pull
#TODO: collapse back into a single cell
The basic idea involves turning the bottom counter from a timer into a proper counter, and every 27 overflows the left counter (still a normal shrinking counter) will count twice. Once the horizontal counter shrinks all the way, it will send a signal down, which is supposed to but doesn't currently convert it from a growing to a shrinking counter, which should but doesn't collapse into a single cell once it shrinks all the way. I'm not going to complete it, but I'm posting it here in case someone else wants to.
An idea for making it way slower involves turning the bottom counter head back into a c/2 wickstretcher, causing it to achieve tetrational growth.
Any sufficiently advanced software is indistinguishable from malice.
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blah
Posts: 324
Joined: April 9th, 2016, 7:22 pm

Re: Slowest one cell spaceships of each state count

Post by blah »

New 1-cell slowness record found with epsrc: 1c/422 orthogonal, breaking the previous record of 1c/30.

Code: Select all

x = 1, y = 1, rule = MAPgADAgAxEAAgAAAAAIGCAACAAgABAAAAAQAQAQAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
o!
Another search listing from my efforts (not run to completion either):

Code: Select all

$ ./epsrc ham 3 MAPgADAgAwAAAAAAAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA -p 300 --min 100
p128 (0,0): MAPgADQqAwAAAAAAAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p102 (0,0): MAPgEDAgAwIEAAAAAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p136 (15,-4): MAPhADAkAwAAAAEAAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p152 (7,3): MAPhADAgA4AAAAAgAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p138 (8,3): MAPhADAgAwAAAAAiAAAAGAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p104 (0,0): MAPgADQoAwAAAAAAAAAAmAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p116 (0,0): MAPgEDAgAwAEAAAAAAAAmAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p144 (2,0): MAPgADAoAwCAAAAAAAAAWAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (2,0): MAPgADAgA4CAAAAAAAAAWAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p142 (2,0): MAPgADAgAwCAAAACAAAAWAAAAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (0,0): MAPgADAgA4AAAAgAAAAAGAAEAAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p160 (1,0): MAPgADAgAwAAAAAAACAAGAgACAAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (1,4): MAPgADEgQwAAAAAAAAAAGAAAAgAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p116 (3,3): MAPgADAggwAAAAAAAAAAGAACAgAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p124 (7,1): MAPgADAgAxAAAAAgAAAAGAAAAQAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p156 (15,0): MAPhADAkAwAAAAAAAAAAGAAAAIAAAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p136 (2,0): MAPgADAgAwCAAAAAAAAAWAAAAAAgAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p124 (14,3): MAPgAHAgAwAAAAAAAAAAGAAAAgAIAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p102 (3,2): MAPgCDAgAwAAAAAAAAAAGAAAEAACAAAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p106 (3,1): MAPgALAiAwAAAAAAAAAAGAAAAAAAACAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p112 (6,1): MAPhADAgAwCAAAAAAAAAGAAAAAAAACAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p216 (3,1): MAPgADAgEwAAAAAAAAAAGAAAAAIAACAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p128 (1,1): MAPgADAgAwAAAAAAAAAAGAAAAABAECAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p128 (2,1): MAPgADEgAwAAAAAAAAAAGAAAAAAAAGAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p126 (1,0): MAPgADAgAwAAAAIAAAAAGAAAAAAAADAAAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (2,0): MAPgADBgAwAAAAAgAAAAGAAAAAAAAAAQAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p124 (2,0): MAPgADAgAwAAAAABAAAAGAAAAAAACAAQAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p164 (5,1): MAPgADAgAwAAAAEAAAAAGAAAAAAAACAQAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p132 (4,0): MAPgADAgBwAAAAAAAAAAGAAAAAAgAAAIAAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p116 (2,4): MAPgADAgBwAAQAAAAAAAGAAAAAAAAAAAIAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (3,3): MAPgADAgAwIAAAQAAAAAGAAAAAAAAAAAIAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p192 (5,1): MAPgADAgAwAAAAAAAAAAGAAAEIAAAAAAIAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (2,2): MAPgADAgAwIAAAAAAAAAGAAAAAAAAAAgIAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (5,2): MAPgADAgAwAAAAAAAAAAGAAAAAAAQAIAEAAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p102 (2,0): MAPgADQgA4AAAAAAAAAAGAAAAAAAAAAAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p190 (3,1): MAPgADAgAwCAAAAACAAAGAAAAAAAAAAAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (3,1): MAPgADAgA4AAAAAAAAAAmAAAAAAAAAAAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p120 (2,1): MAPgADAgAwCAAAAAAAAAGAAAEAAAAAAAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p208 (2,1): MAPgADAgAwCAAAAAAAAAGAAAAQAAAAAAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p162 (3,2): MAPgADAgA4AAAAAAAAAAGAAAAAAAAAIAACAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p186 (1,0): MAPgADAgAwAAAAAAAAAAGAAAAQAAAAAAICAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p124 (1,1): MAPgADAgAwAAAAAAAAAAGAAAAABAACAAABAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p160 (3,0): MAPgADAgAwAAAAQAAAAAGAAAAAAAAAAAADAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p214 (3,0): MAPgADAgAwAAAAAAAAAAGAAAAAAAAAIAADAQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (0,0): MAPgADAgAxAAAAAAAAAAGAAAAAAAACAAAAIQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p138 (0,0): MAPgADAgAwCAAAAAAAAAGAAACAAAAAAAAABQAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p126 (0,0): MAPgADAoAwACAAAAAAAAGAAAAAAAAAAAAAAYAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p104 (4,0): MAPgADAgAwAAAAAAAAAAWAAAgAAAAAAAAAAYAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p242 (10,4): MAPgADAgAwAAAAAAAAAAGAAABAAAAAAAAAAaAAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (8,-2): MAPhADAgAwAAAAAAAAgAGAAAAAAAAAAAAAAQgAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p108 (2,0): MAPgADAgAwCAAAAAAAAAWAAAAAAAAAAAAAAQBAAAAAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p102 (1,0): MAPgADAgAwAAABAAAAAAGAAAAAAAIAAAAAAQAAAAEAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p146 (1,3): MAPgADAgAwAAAAAgAAAAGAAAAAAAAAAAAAAQAQAAEAAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p168 (0,0): MAPgADAgAwAABAAAAAAAGAAAAAAgAAAAAAAQAAAAABAAAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p138 (3,-2): MAPgADAgAwCAAAAAAAAAWAAAAAAAAAAAAAAQAAAAAAAgAABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p136 (2,-2): MAPgADBgAwAAAAAAAAAAGAAAAAAAAAAAAAAYAAAAAAAAgABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p134 (1,0): MAPgADQgAwAAAAQAAAAAGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (1,0): MAPgADAgA4AAAAQAAAAAGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p134 (2,1): MAPgADAgAwAAAIQAAAAAGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p138 (1,0): MAPgADAgAwAAAAYAAAAAGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p118 (1,0): MAPgADQgAwAAAAAAAAIAGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p194 (1,0): MAPgADAgAwAAAgAAAAAIGAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p110 (1,0): MAPgADAgAwAAAAQAAAAAmAAAAAAAAAAAAAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p114 (13,-4): MAPhADAgAwAAAAAAAAAAGAAAAAAAAAAAIAAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p116 (1,0): MAPgADAgAwAAAAAAAAIAGAAAAAAAAAAAACAQAAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p108 (4,0): MAPgADEgAwAAAAAAAAAAGAAAAAAAAAAAAAAQBAAAAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p134 (0,0): MAPgADAgAwAAAAAAAAAAGAAAEAAAAAAAIAAQAAAAAAAAEABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p108 (0,0): MAPgADQgAwAAAAAAAAAAGAAAEAAAAAAAAAAQAAAAAAAAAgBAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p124 (1,3): MAPgADAgAwACQAAAAAAAGAAAAAAAAAAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p226 (4,3): MAPhADAgAwAAAAAgAAAAGAAAAAAAAAAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p100 (4,3): MAPgADAgAwACAAAAIAAAGAAAAAAAAAAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p112 (0,0): MAPgADAgAwAABAAAAIAAGAAAAAAAAAAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p108 (0,4): MAPgADAgAwAAAAAAIAAAWAAAAAAAAAAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p164 (3,0): MAPgADAgAwAAAAAAAAAAGAAAAAIAACAAAAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p150 (1,3): MAPgADAgAgAAAAAAAAAAGAAAAAAAAAAAIAAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p122 (1,0): MAPgADAgAwAAAAAAAAIAGAAAAAAAAAAAACAQAAAAAAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p136 (0,0): MAPgADAgAwAAAAAAAAAAGAAAAAAAQAAAAAAQAAAAEAAAAAhAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p112 (0,2): MAPgADAgAwAAAAAAAAAAGAAAAAAAAAACAAAYAAAAAAAAAARAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
p110 (4,2): MAPgADAgEwAAAAAAAAAAGAAAAAAAAAAAAEAQAAAAAAAAAAFAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
succ
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gameoflifemaniac
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

blah wrote: May 24th, 2020, 5:30 am New 1-cell slowness record found with epsrc: 1c/422 orthogonal, breaking the previous record of 1c/30.

Code: Select all

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

Code: Select all

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

Post by Hunting »

gameoflifemaniac wrote: April 24th, 2020, 4:52 am I tried to begin with a template (B012345678/S):
and try to change some transitions in it (that's what I did to find the C/12. This drastically reduces the number of rules we'd have to search. All the other non-isotropic rules would be useless (B1 without B0 would give always C and without both B1 and B0 would give nothing). Making a script that would randomly change those transitions wouldn't be that hard, I think. But I'm not as smart as you all, lifeenthusiasts.
I just implemented it. Unfortunately it seems to be inefficient.

At first it produces a lot of rules where the dot becomes orthogonal c/2 wickstrechers. I disabled B7 and it works fine. But then it seems to produces nothing but 2c/4s. Are there any optimizations or further restrictions?

EDIT: And I wonder what algorithm did epsrc use. And how long did it take to produce, say, 50 line of outputs?
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Re: Slowest one cell spaceships of each state count

Post by blah »

Hunting wrote: May 24th, 2020, 10:34 amAt first it produces a lot of rules where the dot becomes orthogonal c/2 wickstrechers. I disabled B7 and it works fine. But then it seems to produces nothing but 2c/4s. Are there any optimizations or further restrictions?

EDIT: And I wonder what algorithm did epsrc use. And how long did it take to produce, say, 50 line of outputs?
Is your code checking whether speeds have already been found? epsrc never outputs the same speed twice in a single search; it used to do that but I realised it wasn't very useful, since it just clogged up the output with redundancy. Also, it goes without saying that it doesn't output wickstretchers; it will only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0.

And to answer your other question, the speed depends completely on the search. Some output a bunch of lines rapidly, others take forever and produce nothing.
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Re: Slowest one cell spaceships of each state count

Post by Hunting »

blah wrote: May 24th, 2020, 3:12 pm
Hunting wrote: May 24th, 2020, 10:34 amAt first it produces a lot of rules where the dot becomes orthogonal c/2 wickstrechers. I disabled B7 and it works fine. But then it seems to produces nothing but 2c/4s. Are there any optimizations or further restrictions?

EDIT: And I wonder what algorithm did epsrc use. And how long did it take to produce, say, 50 line of outputs?
Is your code checking whether speeds have already been found? epsrc never outputs the same speed twice in a single search; it used to do that but I realised it wasn't very useful, since it just clogged up the output with redundancy. Also, it goes without saying that it doesn't output wickstretchers; it will only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0.

And to answer your other question, the speed depends completely on the search. Some output a bunch of lines rapidly, others take forever and produce nothing.
My program saves the slowest non-stationary speed and output every record-breakers.

My program does only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0. What I'm trying to say is most random tweaks on the B012345678/S rule makes wickstrechers (until I ruled out B7 transistions). g.autoupdate(True) is really nice.

Also, my program have no parameters. It just randomly turn transistions on and off and check if the dot becomes a dot again. That probably means epsrc have some pre-existing information being feed into the program? That is,

1. Will tweaking some slow-ship rule instead of B012345678/S speed my program up?
2. Will tweaking the previous record instead of B012345678/S speed my program up?
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Re: Slowest one cell spaceships of each state count

Post by blah »

Hunting wrote: May 25th, 2020, 1:35 amMy program does only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0. What I'm trying to say is most random tweaks on the B012345678/S rule makes wickstrechers (until I ruled out B7 transistions). g.autoupdate(True) is really nice.
Try starting from B0/S (MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA). In my experience it usually produces more results. Also, the workflow of using epsrc for me sometimes involves specifically finding rules that are not record-breakers, but are promising lines of exploration, especially at first.
Hunting wrote: May 25th, 2020, 1:35 amAlso, my program have no parameters. It just randomly turn transistions on and off and check if the dot becomes a dot again. That probably means epsrc have some pre-existing information being feed into the program? That is,

1. Will tweaking some slow-ship rule instead of B012345678/S speed my program up?
2. Will tweaking the previous record instead of B012345678/S speed my program up?
1. You'd probably find more spaceship speeds, although I'm not sure they'd be slower.
2. The c/422 was the end of a line of exploration for me, like the p578; I was unable to optimise them further. Good luck is all I'll say.
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Re: Slowest one cell spaceships of each state count

Post by Hunting »

blah wrote: May 25th, 2020, 3:42 am
Hunting wrote: May 25th, 2020, 1:35 amMy program does only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0. What I'm trying to say is most random tweaks on the B012345678/S rule makes wickstrechers (until I ruled out B7 transistions). g.autoupdate(True) is really nice.
Try starting from B0/S (MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA). In my experience it usually produces more results. Also, the workflow of using epsrc for me sometimes involves specifically finding rules that are not record-breakers, but are promising lines of exploration, especially at first.
Uh, how do you define "promising" in the program?

And thanks, it produces c/4 now.
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

Hunting wrote: May 25th, 2020, 9:03 am
blah wrote: May 25th, 2020, 3:42 am
Hunting wrote: May 25th, 2020, 1:35 amMy program does only consider outputting a rule if a single dot in that rule at t=0 becomes a single dot again at t=2n for integer n>0. What I'm trying to say is most random tweaks on the B012345678/S rule makes wickstrechers (until I ruled out B7 transistions). g.autoupdate(True) is really nice.
Try starting from B0/S (MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA). In my experience it usually produces more results. Also, the workflow of using epsrc for me sometimes involves specifically finding rules that are not record-breakers, but are promising lines of exploration, especially at first.
Uh, how do you define "promising" in the program?

And thanks, it produces c/4 now.
Where did you even get the search program
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

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

Post by Hunting »

gameoflifemaniac wrote: May 25th, 2020, 10:16 am
Hunting wrote: May 25th, 2020, 9:03 am
blah wrote: May 25th, 2020, 3:42 am
Try starting from B0/S (MAPgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA). In my experience it usually produces more results. Also, the workflow of using epsrc for me sometimes involves specifically finding rules that are not record-breakers, but are promising lines of exploration, especially at first.
Uh, how do you define "promising" in the program?

And thanks, it produces c/4 now.
Where did you even get the search program
What do you mean by "get the search program" and which program?
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

Hunting wrote: May 25th, 2020, 10:22 am
gameoflifemaniac wrote: May 25th, 2020, 10:16 am
Hunting wrote: May 25th, 2020, 9:03 am

Uh, how do you define "promising" in the program?

And thanks, it produces c/4 now.
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 was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

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

Post by blah »

gameoflifemaniac wrote: May 25th, 2020, 11:07 amblah gave no link to epsrc I have seen but you still got it.
No they didn't. I assume they wrote their own program.

I just posted epsrc here: viewtopic.php?f=9&t=4525

Edit: New record, c/432:

Code: Select all

x = 1, y = 1, rule = MAPgADAgAxEAAgABAAAIGCAACAAgCBAAAAAQAYAQAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
o!
Edit 2: c/458:

Code: Select all

x = 1, y = 1, rule = MAPgADAoAxEAAgAAAAAIGDAACAAgABAAAAAQAQAQAAgAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
o!
Edit 3: c/524:

Code: Select all

x = 1, y = 1, rule = MAPgADAoAxEAAgAAAAAIGDAACAAgABAAAAAQAQAQAAgAIABAABABAAAAAAQAAAAAAAAAAAAAAAAEAAIAABAAAAAAA
o!
Edit 4: c/534:

Code: Select all

x = 1, y = 1, rule = MAPgADAoAxEAAgAAAAAIGDAACAAgABAAAEAQAQAQAggAIABAABABAAAAAAQAAAAAAAAAAAAAAAAEAAIAABAAAAAAA
o!
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

Cool program, I found this c/54:

Code: Select all

x = 1, y = 1, rule = MAPhQBMEABAgAAIhACAgAAAAASAgAABAAgAAEAAAACAAAAAgAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
Slower spaceships are yet to be found.
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

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

Post by blah »

gameoflifemaniac wrote: May 27th, 2020, 1:07 pm Cool program, I found this c/54:

Code: Select all

x = 1, y = 1, rule = MAPhQBMEABAgAAIhACAgAAAAASAgAABAAgAAEAAAACAAAAAgAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
Slower spaceships are yet to be found.
This rule seems to be good at producing a huge amount of results in epsrc. I managed to derive a p1278 from it:

Code: Select all

x = 1, y = 1, rule = MAPhQAMHAREoAgIhgCAgAIAAACAgAQBAAgAAEAAAACCAAAAgAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
I did not expect p1000 to be broken so soon. I know this thread is supposed to be about slow ships rather than high-period ships though (maybe we should make a new thread for epsrc results), so here's a derived c/72d:

Code: Select all

x = 1, y = 1, rule = MAPhQBMEABAgAAIhACAgAAAAASAgAABAAgAAEAAAACAAAACgAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAAAAAAAA
o!
EDIT: p1498 (96,129):

Code: Select all

x = 1, y = 1, rule = MAPhQAMHAREoIgIhgCAgAAAAACAgAQBAAgAAEAEAACCAAAAgAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

I, however, independently turned the p54 into a p82 and then a p132 and p134.

Code: Select all

x = 1, y = 1, rule = MAPhQBMAABAiEAIhACAhAAAAASAgAABAAgAAEAAAACAAAAAgIAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAA
o!

Code: Select all

x = 1, y = 1, rule = MAPhQBMEABAgAAIhACAhAACEACAgAABAAgAAEAAAACAAAAAgIAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAA
o!
EDIT: Then a c/158 in the next generation:

Code: Select all

x = 1, y = 1, rule = MAPhQBEEABAoAAIhAiAhAACEACAgAABAAgAAEAAAACAAAAAgIAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAA
o!
EDIT 2: And a c/180:

Code: Select all

x = 1, y = 1, rule = MAPhQBMEABAgAAMhACghAACEACAhAABAAgAAEAAAACAAAAAgIAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAA
o!
Last edited by gameoflifemaniac on May 27th, 2020, 4:41 pm, edited 1 time in total.
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Code: Select all

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

Post by Hdjensofjfnen »

We should make an OCSSSP (one-cell-spaceships-supporting-specific-periods) catalog.
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Re: Slowest one cell spaceships of each state count

Post by gameoflifemaniac »

Hdjensofjfnen wrote: May 27th, 2020, 4:06 pm We should make an OCSSSP (one-cell-spaceships-supporting-specific-periods) catalog.
true
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

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

Post by bubblegum »

Here's a hexagonal: 2c/4o
Is this minimal for hex rules?

Code: Select all

@RULE 2SslowHex1

@TABLE
n_states:3
neighborhood:hexagonal
symmetries:none

var a={0,1,2}
var b=a
var c=a
var d=a
var e=a
var f=a

1,1,1,1,1,2,1,1
2,1,2,2,2,2,1,2
2,1,1,1,2,2,1,2
1,2,2,1,2,2,2,1
1,2,2,2,2,2,1,1

1,a,b,c,d,e,f,2
2,a,b,c,d,e,f,1

Code: Select all

x = 30, y = 30, rule = 2SslowHex1
30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$3AB26A$30A$30A
$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A$30A!
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Re: Slowest one cell spaceships of each state count

Post by Moosey »

Slightly off-topic but here's a natural c/6d in one of GOLmaniac's rules

Code: Select all

x = 2, y = 8, rule = MAPhQBMEABAgAAMhACghAACEACAhAABAAgAAEAAAACAAAAAgIAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACAAAAA
2o$bo$o3$bo$o$o!
(6,2)c/20 puffer in the slowest ship thus far iirc rule

Code: Select all

x = 5, y = 6, rule = MAPgADAgAxEAAgAAAAAIGCAACAAgABAAAAAQAQAQAAAAIABAABAAAAAAAAQAAAAAAAAAAAAAAAAAAAIAABAAAAAAA
4bo$3bo2$bo$3bo$o3bo!
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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