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Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 16th, 2010, 6:54 pm
by Extrementhusiast
This is the thread for your accidental discoveries that aren't in Conway's Game of Life (to complement the other thread). In HighLife, this concept can be used to construct arbitrarily high-period oscillators:
Code: Select all
x = 5, y = 12, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o6$2b2o$2b2o!
EDIT: Found out that this doesn't work. This does:
Code: Select all
x = 12, y = 13, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o$8b2o$8bobo$10bo$10b2o$5b2o$5bo$6b3o$8bo!
No it doesn't! This actually does:
Code: Select all
x = 13, y = 11, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o3$9b2o$9bo$10b3o$12bo!
But that only works in certain situations. Two molds can be used in other situations. (That last sentence was based off of David Bell's text.)
This converts a replicator into a bomber (based on the above):
Code: Select all
x = 9, y = 13, rule = B36/S23
2b3o$bo2bo$o3bo$o2bo$3o5$5b2o$5bo$6b3o$8bo!
LWSS synthesis:
Code: Select all
x = 8, y = 18, rule = B36/S23
bo$2bo2bobo$3o2b2o$6bo12$6b2o$5b2o$7bo!
I also accidentally found the "Ruler Rule" posted earlier.
Post anything else of note that is found accidentally and is not in Conway's Game of Life.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 16th, 2010, 8:38 pm
by velcrorex
An orthogonal spaceship I found in a rules table rule. Looks like a failed replicator.
Moves at 152c/1334!
MCell format.
Code: Select all
#MCell 4.20
#GAME Rules table
#RULE 1,0,1,0,0,4,2,1,1,3,0,0,0,0,0,1,1,3,0,0,0,0,0,0,4,1,2,3,0,0,0,0,
#RULE 0,4,4,3,3,2,0,4,0,0,0,0,0,2,4,4,2
#BOARD 500x500
#WRAP 1
#L 10$47.DADBDAA$46.BC..CCAAB$46.BB.CCAC.B$46.BADBBDB$59.AA$58.BBAA$57.DC
#L .BA$43.DD11.BC.CB$42.DAAD9.AB.CD$42.BCCB9.AABB4.BACBDADD$42.D..C10.AA
#L 5.AABCBA.CB$43.AACD.AB14.BCADAD.CD$43.DBBADCAA10.BAD.DADCCD.D$47.DA.D
#L 11.CA3.B5CD$47.BCAA10.AB.D3.DCACB$48.ABD12.D4.DD.CC.A$50.AA18.B.D3.D$
#L 49.D.AA14.A3D.DDCBCDD$50.BCA..B.A8.D7.3C.CB$50.D.A..ACB9.DA3.DB.ACD.CD
#L $27.AA22.DB..DA.D14.DD3CD.D$26.BBAA23.BA..D12.D3.DDCC3A$25.DC.BA22.DAC
#L D12.BABD4.BDDBD$24.BC.CB23.BCAA5.D5.DCC.DD4.AACB$23.AB.CD24.DBDDB3.D.B
#L A3.A.BACD5.CBC$23.AABB25.3ACCB3.AC4.D5CB4.BAA$24.AA26.D.DCCDAD.DAB4.D.
#L DCCDA4.AB$52.DC.DADACB..AA3.DC.DADACB$19.AA14.AA16.BC.ABCCABBCAA3.BC.A
#L BCBAA5.AA$18.BBAA12.BBAA16.DDADBDCCA.CA4.DDADBCAB4.BBAA$17.DC.BA11.DC.
#L BA22.AACCB16.DC.BA$16.BC.CB11.BC.CB24.ADB16.BC.CB$15.AB.CD11.AB.CD43.A
#L B.CD$15.AABB12.AABB44.AABB$16.AA14.AA46.AA$$27.AA14.AA$26.BBAA12.BBAA$
#L 25.DC.BA11.DC.BA$24.BC.CB11.BC.CB$23.AB.CD11.AB.CD$23.AABB12.AABB$24.
#L AA14.AA$$35.AA14.AA$34.BBAA12.BBAA$33.DC.BA11.DC.BA$32.BC.CB11.BC.CB$
#L 31.AB.CD11.AB.CD$31.AABB12.AABB$32.AA14.AA
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 19th, 2010, 6:35 am
by David
P48 oscillator.
replicator shuttle
Code: Select all
x = 8, y = 18, rule = B36/S23
bo$2bo2bobo$3o2b2o$6bo12$6b2o$5b2o$7bo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 19th, 2010, 10:56 am
by Axaj
David wrote:P48 oscillator.
replicator shuttle
Code: Select all
x = 8, y = 18, rule = B36/S23
bo$2bo2bobo$3o2b2o$6bo12$6b2o$5b2o$7bo!
I think you pasted the wrong pattern.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 19th, 2010, 6:35 pm
by David
Axaj wrote:David wrote:P48 oscillator.
replicator shuttle
Code: Select all
x = 8, y = 18, rule = B36/S23
bo$2bo2bobo$3o2b2o$6bo12$6b2o$5b2o$7bo!
I think you pasted the wrong pattern.
Ah, sorry.
Code: Select all
x = 23, y = 23, rule = B36/S23
2o$bo$bobo$2b2o9$12b3o$11bo2bo$10bo3bo$10bo2bo$10b3o3$19b2o$19bo$20b3o
$22bo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 20th, 2010, 8:07 pm
by Extrementhusiast
A lead on a new p6 c/2 spaceship in B34678/S23?
Code: Select all
x = 10, y = 9, rule = B34678/S23
3bo2bo$3bo3bo$b4o3bo$o2bo5bo$o2bo5bo$o2bo5bo$b4o3bo$3bo3bo$3bo2bo!
Same idea, except this time it's p4:
Code: Select all
x = 7, y = 7, rule = B34678/S23
b2obo$b2o2bo$3o3bo$4o2bo$3o3bo$b2o2bo$b2obo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 20th, 2010, 8:56 pm
by velcrorex
Extrementhusiast wrote:
Same idea, except this time it's p4:
Code: Select all
x = 7, y = 7, rule = B34678/S23
b2obo$b2o2bo$3o3bo$4o2bo$3o3bo$b2o2bo$b2obo!
Completed:
Code: Select all
x = 19, y = 11, rule = 23/34678
13bobb3o$10bobob5o$bbobbo3bo3bo3bo$bo4b3o3bobobo$o3boo7b3o$obboo6b4o$o
3boo7b3o$bo4b3o3bobobo$bbobbo3bo3bo3bo$10bobob5o$13bobb3o!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 29th, 2010, 12:37 am
by Extrementhusiast
Interestingly enough, if you put a cell on the front (on the above spaceship, so that it makes a T-tetromino), it soon recovers.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 22nd, 2010, 5:21 am
by xnihilozero
I took two chaotic puffers I found in B01245/S01245, put them in a 20x20 in B012458/S1245 and added some soup. Initial population is 132. They head in opposite directions and the pattern stabilizes at generation 220,479, with a population around 49000, and no living spaceships. Are there many other compact chaotic puffers that stabilize after a long time?
Code: Select all
x = 20, y = 20, rule = B012458/S1245
7bo3b4ob2o$7bo3b3ob2obo$10bo2b5obo$7bo4b8o$7bo2b8obo$8bob7obo$8b2o3bob
3o$7bobob2o$11b2o$7bo3bo$8b5o$7b3o2bo$7bo2b2o$2b3obobob3o$bob4ob3obo$o
b5o2b2o$7obob3o$ob5ob2o$bob2ob3obo$2b2ob2ob2o!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 27th, 2010, 6:41 pm
by xnihilozero
I played around some more and got it down to one puffer pop 48 in an 11x9 or 44 in a 12x9 box with a life span of 356,626 and a final pop of 39,975. Could this be considered a world record Methuselah?
Code: Select all
#CXRLE Pos=12,-9
x = 11, y = 9, rule = B012458/S1245
2b2ob2o$bob2o3bo$ob5o3bo$9o$ob5obobo$bob2ob5o$2b7o2$5bo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 15th, 2010, 9:04 pm
by Extrementhusiast
Tiny 3-cell Byl Loop breeder:
Code: Select all
x = 2, y = 3, rule = Byl-Loop
.B$C$.B!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 16th, 2010, 10:33 am
by ssaamm
Extrementhusiast wrote:Tiny 3-cell Byl Loop breeder:
Code: Select all
x = 2, y = 3, rule = Byl-Loop
.B$C$.B!
I found a 2-cell one:
Code: Select all
x = 2, y = 2, rule = Byl-Loop
B$.C!
Four ways!:
Code: Select all
x = 5, y = 5, rule = Byl-Loop
3.C$4.B2$B$.C!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 16th, 2010, 11:56 pm
by Extrementhusiast
A 2x4 block functions as a two-dimensional replicator in B034678/S012458:
Code: Select all
x = 4, y = 2, rule = B034678/S012458
4o$4o!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 17th, 2010, 5:02 am
by Sokwe
Extrementhusiast wrote:A 2x4 block functions as a two-dimensional replicator in B034678/S012458
That doesn't seem to be in David Eppstein's
list of rules with replicators (although I don't know how up-to-date the list is). Also, it seems to work in rules B03/S58 - B01234678/S0123458.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 17th, 2010, 1:54 pm
by Awesomeness
Any pattern with the size doubled (so that each bit is a 2 by 2 block) replicates in that rule: (see generation 8 )
Code: Select all
x = 24, y = 22, rule = B034678/S012458
2o2b2o10b2o2b2o$2o2b2o10b2o2b2o$4b2o14b2o$4b2o14b2o$6b2o14b2o$6b2o14b
2o11$2o2b2o10b2o2b2o$2o2b2o10b2o2b2o$4b2o14b2o$4b2o14b2o$6b2o14b2o$6b
2o14b2o!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: October 28th, 2010, 12:02 am
by Extrementhusiast
Interesting spiral:
Code: Select all
x = 2, y = 3, rule = 1/2/4
A$2A$2A!
p118 oscillator that occasionally occurs naturally:
Code: Select all
x = 6, y = 4, rule = 238/34/3
.B2.B$2A2.2A$.4A$2.2A!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: January 30th, 2011, 3:12 pm
by BeNikis
A slow glider in a randomly generated rule:
Code: Select all
x = 10, y = 10, rule = B014/S2
2$3b2ob2o$2b7o$2b5obo$3b2o$2b3o$2b2o$3b2o!
The rule itself is extremely organic looking-Is anything known about it?
I guess it's not that interesting,since it seems to have unbounded growth.Still looks nice though
Try running it for a while from an initial 6x6 square for example.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: January 30th, 2011, 5:30 pm
by ebcube
BeNikis wrote:A slow glider in a randomly generated rule:
Code: Select all
x = 10, y = 10, rule = B014/S2
2$3b2ob2o$2b7o$2b5obo$3b2o$2b3o$2b2o$3b2o!
The rule itself is extremely organic looking-Is anything known about it?
I guess it's not that interesting,since it seems to have unbounded growth.Still looks nice though
Try running it for a while from an initial 6x6 square for example.
Welcome to the forum!
According to Eppstein's CA Database, there are 9 known gliders on 5 different speeds for that rule:
http://fano.ics.uci.edu/ca/rules/b014s2/
It looks like an interesting rule, but I doubt there has been any research on it. There is little known about B0/S!8 rules.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: January 30th, 2011, 8:33 pm
by 137ben
Still, it seems like it could be an interesting rule. Let's see if we can find any logic gates in B014/S2...
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: February 26th, 2011, 1:26 am
by Extrementhusiast
Chaotic fuse:
Code: Select all
x = 6730, y = 3, rule = B02/S
o$b6729o$bo!
An extensible spaceship in a different rule:
Code: Select all
x = 337, y = 7, rule = B3/S236
75bo82bo82bo82bo$bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo
8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o
6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo$2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b
2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2b
o4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b
6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo$o3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2b
obob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo
9bo3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3o
b2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bo$2o2bo4bo2bo4bo2bo6b2o8b6o
4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo
5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo
2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo$bobo6b2o6b2o8bo8b3o7b2o6b2o
7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b
2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo$75bo82bo
82bo82bo!
Currently, it hasn't been stabilized, though.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: March 11th, 2011, 2:54 pm
by 12Glider
p16 gun
Code: Select all
x = 30, y = 44, rule = 3567/2/3
15.A12.A$14.16A$15.14A$15.2A10.2A$15.2A10.2A$15.2A10.2A$15.2A4.2A4.2A
$15.2A4.2A4.2A$15.2A4.2A4.2A$15.2A4.2A4.2A$14.3A10.3A$15.3A8.3A$16.A
10.A2$.A8.A$12A$.12A$.2A8.A$.2A$.2A$.2A$.2A3.4A$.2A3.4A$.2A$.2A$.2A$.
2A8.A$.12A$12A$.A8.A2$16.A10.A$15.3A8.3A$14.3A10.3A$15.2A4.2A4.2A$15.
2A4.2A4.2A$15.2A4.2A4.2A$15.2A4.2A4.2A$15.2A10.2A$15.2A10.2A$15.2A10.
2A$15.14A$14.16A$15.A12.A!
Take away the top or bottom gun to make a breeder.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: April 18th, 2011, 1:07 pm
by ebcube
An explosive reaction on Serizawa: 2 gliders + 1 cell = 40 gliders + 1 big glider + 14 cells
Code: Select all
x = 5, y = 25, rule = Serizawa
2.A19$.B$A.A3$3.B$2.A.A!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: July 6th, 2011, 12:37 am
by knightlife
Four barrel gun fires several kinds of spaceships including a 4c/4:
Code: Select all
x = 16, y = 16, rule = 345/2/4
14.2A$13.A.A$12.A.A$11.A.A$10.A.A$9.A.A$8.A.A$7.A.A$6.A.A$5.A.A$4.A.A
$3.A.A$2.A.A$.A.A$A.A$2A!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: August 19th, 2011, 6:47 pm
by EricG
The LifeWiki entry on HighLife (B36/S23) says "[...] the only non-standard spaceships that are known to work in HighLife are turtle and some flotillae of the standard spaceships."
I just noticed that 86P9H3V0, a small c/3 non-standard birdlike Life spaceship found by David Bell, works in HighLife. It is mentioned as an aside in the image gallery here:
http://www.conwaylife.com/wiki/index.ph ... =117P9H3V0
86P9H3V0 has a spark, so perhaps it will be useful. Here it is reflecting a glider:
Code: Select all
x = 37, y = 18, rule = B36/S23
11bob3o5b3obo$10b2ob2obo3bob2ob2o$9bo4b3o3b3o4bo$12b2o9b2o$2bob2ob6o2b
2o3b2o2b6ob2obo$b2ob2o4b2o4b2ob2o4b2o4b2ob2o$o2bobo2bo7b2ob2o7bo2bobo
2bo$bo5bo7b2o3b2o7bo5bo2$14bo2b3o2bo$13b11o$13b2obo3bob2o4$20bo$19b2o$
19bobo!
I wonder what other non-standard Life spaceships work in HighLife -- in particular, it might be worth checking some of the more recently found spaceships.
Since this is my first post here, I just want to say how delighted I am to find this forum, the associated website and wiki, the Golly program, and all the pattern collections that are linked to from this site. Thank you very much to all the contributors! -- Eric Goldstein
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: August 20th, 2011, 10:36 pm
by Ivan
Replicator based sawtooth spaceship:
Code: Select all
x = 26, y = 18, rule = B36/S23
$8b3o$7bo3bo$b3o2bo4bo$5bo2bo2bo$5bo4bo$5bo3bo$6b3o2$16b3o$15bo3bo$14b
o4bo$13bo2bo2bo$13bo4bo$13bo3bo$14b3o!