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## Thread for Your Accidental Discoveries that Aren't in CGOL

For discussion of other cellular automata.

### Thread for Your Accidental Discoveries that Aren't in CGOL

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.
I Like My Heisenburps! (and others)

Extrementhusiast

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Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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`

velcrorex

Posts: 339
Joined: November 1st, 2009, 1:33 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

P48 oscillator.
replicator shuttle
`x = 8, y = 18, rule = B36/S23bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!`
Call me "Dannyu NDos" in Forum. Call me "Park Shinhwan"(박신환) in Wiki.
David

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Location: Daejeon, South Korea

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.
Axaj

Posts: 232
Joined: September 26th, 2009, 12:23 am

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
Call me "Dannyu NDos" in Forum. Call me "Park Shinhwan"(박신환) in Wiki.
David

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Joined: November 3rd, 2009, 2:47 am
Location: Daejeon, South Korea

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
I Like My Heisenburps! (and others)

Extrementhusiast

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### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
-Josh Ball.

velcrorex

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Joined: November 1st, 2009, 1:33 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Interestingly enough, if you put a cell on the front (on the above spaceship, so that it makes a T-tetromino), it soon recovers.
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
xnihilozero

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Joined: June 22nd, 2010, 2:40 am

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
xnihilozero

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Joined: June 22nd, 2010, 2:40 am

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Tiny 3-cell Byl Loop breeder:
`x = 2, y = 3, rule = Byl-Loop.B\$C\$.B!`
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`

ssaamm

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Joined: June 4th, 2010, 9:43 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

A 2x4 block functions as a two-dimensional replicator in B034678/S012458:
`x = 4, y = 2, rule = B034678/S0124584o\$4o!`
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.
-Matthias Merzenich
Sokwe
Moderator

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### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
Last edited by Awesomeness on October 28th, 2010, 6:56 am, edited 1 time in total.
Awesomeness

Posts: 126
Joined: April 5th, 2009, 7:30 am

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
I Like My Heisenburps! (and others)

Extrementhusiast

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Location: USA

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.
BeNikis

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Joined: January 30th, 2011, 3:00 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.
ebcube

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Joined: February 27th, 2010, 2:11 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

Still, it seems like it could be an interesting rule. Let's see if we can find any logic gates in B014/S2...
137ben

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Joined: June 18th, 2010, 8:18 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.
I Like My Heisenburps! (and others)

Extrementhusiast

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### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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.

Why hasn't a glider exploded yet?

12Glider

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Joined: December 17th, 2010, 4:56 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
ebcube

Posts: 124
Joined: February 27th, 2010, 2:11 pm

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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!`
knightlife

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Joined: May 31st, 2009, 12:08 am

### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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
EricG

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### Re: Thread for Your Accidental Discoveries that Aren't in CGOL

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

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Joined: August 13th, 2011, 2:22 pm

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