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Posted: April 16th, 2010, 6:54 pm
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:
`x = 5, y = 12, rule = B36/S232b3o\$bo2bo\$o3bo\$o2bo\$3o6\$2b2o\$2b2o!`

EDIT: Found out that this doesn't work. This does:
`x = 12, y = 13, rule = B36/S232b3o\$bo2bo\$o3bo\$o2bo\$3o\$8b2o\$8bobo\$10bo\$10b2o\$5b2o\$5bo\$6b3o\$8bo!`

No it doesn't! This actually does:
`x = 13, y = 11, rule = B36/S232b3o\$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):
`x = 9, y = 13, rule = B36/S232b3o\$bo2bo\$o3bo\$o2bo\$3o5\$5b2o\$5bo\$6b3o\$8bo!`

LWSS synthesis:
`x = 8, y = 18, rule = B36/S23bo\$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.

Posted: April 16th, 2010, 8:38 pm
An orthogonal spaceship I found in a rules table rule. Looks like a failed replicator.
Moves at 152c/1334!

MCell format.
`#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`

Posted: April 19th, 2010, 6:35 am
P48 oscillator.
replicator shuttle
`x = 8, y = 18, rule = B36/S23bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!`

Posted: April 19th, 2010, 10:56 am
David wrote:P48 oscillator.
replicator shuttle
`x = 8, y = 18, rule = B36/S23bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!`

I think you pasted the wrong pattern.

Posted: April 19th, 2010, 6:35 pm
Axaj wrote:
David wrote:P48 oscillator.
replicator shuttle
`x = 8, y = 18, rule = B36/S23bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!`

I think you pasted the wrong pattern.

Ah, sorry.
`x = 23, y = 23, rule = B36/S232o\$bo\$bobo\$2b2o9\$12b3o\$11bo2bo\$10bo3bo\$10bo2bo\$10b3o3\$19b2o\$19bo\$20b3o\$22bo!`

Posted: April 20th, 2010, 8:07 pm
A lead on a new p6 c/2 spaceship in B34678/S23?
`x = 10, y = 9, rule = B34678/S233bo2bo\$3bo3bo\$b4o3bo\$o2bo5bo\$o2bo5bo\$o2bo5bo\$b4o3bo\$3bo3bo\$3bo2bo!`

Same idea, except this time it's p4:
`x = 7, y = 7, rule = B34678/S23b2obo\$b2o2bo\$3o3bo\$4o2bo\$3o3bo\$b2o2bo\$b2obo!`

Posted: April 20th, 2010, 8:56 pm
Extrementhusiast wrote:Same idea, except this time it's p4:
`x = 7, y = 7, rule = B34678/S23b2obo\$b2o2bo\$3o3bo\$4o2bo\$3o3bo\$b2o2bo\$b2obo!`

Completed:
`x = 19, y = 11, rule = 23/3467813bobb3o\$10bobob5o\$bbobbo3bo3bo3bo\$bo4b3o3bobobo\$o3boo7b3o\$obboo6b4o\$o3boo7b3o\$bo4b3o3bobobo\$bbobbo3bo3bo3bo\$10bobob5o\$13bobb3o!`

Posted: April 29th, 2010, 12:37 am
Interestingly enough, if you put a cell on the front (on the above spaceship, so that it makes a T-tetromino), it soon recovers.

Posted: June 22nd, 2010, 5:21 am
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?
`x = 20, y = 20, rule = B012458/S12457bo3b4ob2o\$7bo3b3ob2obo\$10bo2b5obo\$7bo4b8o\$7bo2b8obo\$8bob7obo\$8b2o3bob3o\$7bobob2o\$11b2o\$7bo3bo\$8b5o\$7b3o2bo\$7bo2b2o\$2b3obobob3o\$bob4ob3obo\$ob5o2b2o\$7obob3o\$ob5ob2o\$bob2ob3obo\$2b2ob2ob2o!`

Posted: June 27th, 2010, 6:41 pm
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?

`#CXRLE Pos=12,-9x = 11, y = 9, rule = B012458/S12452b2ob2o\$bob2o3bo\$ob5o3bo\$9o\$ob5obobo\$bob2ob5o\$2b7o2\$5bo!`

Posted: October 15th, 2010, 9:04 pm
Tiny 3-cell Byl Loop breeder:
`x = 2, y = 3, rule = Byl-Loop.B\$C\$.B!`

Posted: October 16th, 2010, 10:33 am
Extrementhusiast wrote:Tiny 3-cell Byl Loop breeder:
`x = 2, y = 3, rule = Byl-Loop.B\$C\$.B!`

I found a 2-cell one:
`x = 2, y = 2, rule = Byl-LoopB\$.C!`

Four ways!:
`x = 5, y = 5, rule = Byl-Loop3.C\$4.B2\$B\$.C!`

Posted: October 16th, 2010, 11:56 pm
A 2x4 block functions as a two-dimensional replicator in B034678/S012458:
`x = 4, y = 2, rule = B034678/S0124584o\$4o!`

Posted: October 17th, 2010, 5:02 am
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.

Posted: October 17th, 2010, 1:54 pm
Any pattern with the size doubled (so that each bit is a 2 by 2 block) replicates in that rule: (see generation 8 )
`x = 24, y = 22, rule = B034678/S0124582o2b2o10b2o2b2o\$2o2b2o10b2o2b2o\$4b2o14b2o\$4b2o14b2o\$6b2o14b2o\$6b2o14b2o11\$2o2b2o10b2o2b2o\$2o2b2o10b2o2b2o\$4b2o14b2o\$4b2o14b2o\$6b2o14b2o\$6b2o14b2o!`

Posted: October 28th, 2010, 12:02 am
Interesting spiral:
`x = 2, y = 3, rule = 1/2/4A\$2A\$2A!`

p118 oscillator that occasionally occurs naturally:
`x = 6, y = 4, rule = 238/34/3.B2.B\$2A2.2A\$.4A\$2.2A!`

Posted: January 30th, 2011, 3:12 pm
A slow glider in a randomly generated rule:

`x = 10, y = 10, rule = B014/S22\$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.

Posted: January 30th, 2011, 5:30 pm
BeNikis wrote:A slow glider in a randomly generated rule:

`x = 10, y = 10, rule = B014/S22\$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.

Posted: January 30th, 2011, 8:33 pm
Still, it seems like it could be an interesting rule. Let's see if we can find any logic gates in B014/S2...

Posted: February 26th, 2011, 1:26 am
Chaotic fuse:
`x = 6730, y = 3, rule = B02/So\$b6729o\$bo!`

An extensible spaceship in a different rule:
`x = 337, y = 7, rule = B3/S23675bo82bo82bo82bo\$bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo\$2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo\$o3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bo\$2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo\$bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo8b3o7b2o6b2o7b2o8bo3bo5bobo\$75bo82bo82bo82bo!`

Currently, it hasn't been stabilized, though.

Posted: March 11th, 2011, 2:54 pm
p16 gun
`x = 30, y = 44, rule = 3567/2/315.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.A10.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.

Posted: April 18th, 2011, 1:07 pm
An explosive reaction on Serizawa: 2 gliders + 1 cell = 40 gliders + 1 big glider + 14 cells

`x = 5, y = 25, rule = Serizawa2.A19\$.B\$A.A3\$3.B\$2.A.A!`

Posted: July 6th, 2011, 12:37 am
Four barrel gun fires several kinds of spaceships including a 4c/4:
`x = 16, y = 16, rule = 345/2/414.2A\$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!`

Posted: August 19th, 2011, 6:47 pm
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.php?title=117P9H3V0

86P9H3V0 has a spark, so perhaps it will be useful. Here it is reflecting a glider:

`x = 37, y = 18, rule = B36/S2311bob3o5b3obo\$10b2ob2obo3bob2ob2o\$9bo4b3o3b3o4bo\$12b2o9b2o\$2bob2ob6o2b2o3b2o2b6ob2obo\$b2ob2o4b2o4b2ob2o4b2o4b2ob2o\$o2bobo2bo7b2ob2o7bo2bobo2bo\$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

`x = 26, y = 18, rule = B36/S23\$8b3o\$7bo3bo\$b3o2bo4bo\$5bo2bo2bo\$5bo4bo\$5bo3bo\$6b3o2\$16b3o\$15bo3bo\$14bo4bo\$13bo2bo2bo\$13bo4bo\$13bo3bo\$14b3o!`