For discussion of other cellular automata.
Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

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:

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``````x = 5, y = 12, rule = B36/S23
2b3o\$bo2bo\$o3bo\$o2bo\$3o6\$2b2o\$2b2o!
``````
EDIT: Found out that this doesn't work. This does:

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``````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:

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``````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):

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``````x = 9, y = 13, rule = B36/S23
2b3o\$bo2bo\$o3bo\$o2bo\$3o5\$5b2o\$5bo\$6b3o\$8bo!
``````
LWSS synthesis:

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``````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.
I Like My Heisenburps! (and others)

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

An orthogonal spaceship I found in a rules table rule. Looks like a failed replicator.
Moves at 152c/1334!

MCell format.

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``````#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 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 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
``````

David
Posts: 212
Joined: November 3rd, 2009, 2:47 am
Location: Daejeon, South Korea

P48 oscillator.
replicator shuttle

Code: Select all

``````x = 8, y = 18, rule = B36/S23
bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!
``````
Call me "Dannyu NDos" in Forum. Call me "Park Shinhwan"(박신환) in Wiki.

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

David wrote:P48 oscillator.
replicator shuttle

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``````x = 8, y = 18, rule = B36/S23
bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!
``````
I think you pasted the wrong pattern.

David
Posts: 212
Joined: November 3rd, 2009, 2:47 am
Location: Daejeon, South Korea

Axaj wrote:
David wrote:P48 oscillator.
replicator shuttle

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``````x = 8, y = 18, rule = B36/S23
bo\$2bo2bobo\$3o2b2o\$6bo12\$6b2o\$5b2o\$7bo!
``````
I think you pasted the wrong pattern.
Ah, sorry.

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``````x = 23, y = 23, rule = B36/S23
2o\$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.

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

A lead on a new p6 c/2 spaceship in B34678/S23?

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``````x = 10, y = 9, rule = B34678/S23
3bo2bo\$3bo3bo\$b4o3bo\$o2bo5bo\$o2bo5bo\$o2bo5bo\$b4o3bo\$3bo3bo\$3bo2bo!
``````
Same idea, except this time it's p4:

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``````x = 7, y = 7, rule = B34678/S23
b2obo\$b2o2bo\$3o3bo\$4o2bo\$3o3bo\$b2o2bo\$b2obo!
``````
I Like My Heisenburps! (and others)

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

Extrementhusiast wrote: Same idea, except this time it's p4:

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``````x = 7, y = 7, rule = B34678/S23
b2obo\$b2o2bo\$3o3bo\$4o2bo\$3o3bo\$b2o2bo\$b2obo!
``````
Completed:

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``````x = 19, y = 11, rule = 23/34678
13bobb3o\$10bobob5o\$bbobbo3bo3bo3bo\$bo4b3o3bobobo\$o3boo7b3o\$obboo6b4o\$o
3boo7b3o\$bo4b3o3bobobo\$bbobbo3bo3bo3bo\$10bobob5o\$13bobb3o!
``````
-Josh Ball.

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

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)

xnihilozero
Posts: 3
Joined: June 22nd, 2010, 2:40 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?

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``````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!
``````

xnihilozero
Posts: 3
Joined: June 22nd, 2010, 2:40 am

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?

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``````#CXRLE Pos=12,-9
x = 11, y = 9, rule = B012458/S1245
2b2ob2o\$bob2o3bo\$ob5o3bo\$9o\$ob5obobo\$bob2ob5o\$2b7o2\$5bo!
``````

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

Tiny 3-cell Byl Loop breeder:

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

ssaamm
Posts: 125
Joined: June 4th, 2010, 9:43 pm

Extrementhusiast wrote:Tiny 3-cell Byl Loop breeder:

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``````x = 2, y = 3, rule = Byl-Loop
.B\$C\$.B!
``````
I found a 2-cell one:

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``````x = 2, y = 2, rule = Byl-Loop
B\$.C!
``````
Four ways!:

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``````x = 5, y = 5, rule = Byl-Loop
3.C\$4.B2\$B\$.C!
``````

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

A 2x4 block functions as a two-dimensional replicator in B034678/S012458:

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``````x = 4, y = 2, rule = B034678/S012458
4o\$4o!
``````
I Like My Heisenburps! (and others)

Sokwe
Moderator
Posts: 1640
Joined: July 9th, 2009, 2:44 pm

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

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

Any pattern with the size doubled (so that each bit is a 2 by 2 block) replicates in that rule: (see generation 8 )

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``````x = 24, y = 22, rule = B034678/S012458
2o2b2o10b2o2b2o\$2o2b2o10b2o2b2o\$4b2o14b2o\$4b2o14b2o\$6b2o14b2o\$6b2o14b
2o11\$2o2b2o10b2o2b2o\$2o2b2o10b2o2b2o\$4b2o14b2o\$4b2o14b2o\$6b2o14b2o\$6b
2o14b2o!
``````
Last edited by Awesomeness on October 28th, 2010, 6:56 am, edited 1 time in total.

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

Interesting spiral:

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``````x = 2, y = 3, rule = 1/2/4
A\$2A\$2A!
``````
p118 oscillator that occasionally occurs naturally:

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``````x = 6, y = 4, rule = 238/34/3
.B2.B\$2A2.2A\$.4A\$2.2A!
``````
I Like My Heisenburps! (and others)

BeNikis
Posts: 1
Joined: January 30th, 2011, 3:00 pm

A slow glider in a randomly generated rule:

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``````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.

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

BeNikis wrote:A slow glider in a randomly generated rule:

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``````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.

137ben
Posts: 343
Joined: June 18th, 2010, 8:18 pm

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

Extrementhusiast
Posts: 1834
Joined: June 16th, 2009, 11:24 pm
Location: USA

Chaotic fuse:

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``````x = 6730, y = 3, rule = B02/S
o\$b6729o\$bo!
``````
An extensible spaceship in a different rule:

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``````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.
I Like My Heisenburps! (and others)

12Glider
Posts: 79
Joined: December 17th, 2010, 4:56 pm

p16 gun

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``````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.

Why hasn't a glider exploded yet?

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

An explosive reaction on Serizawa: 2 gliders + 1 cell = 40 gliders + 1 big glider + 14 cells

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

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Four barrel gun fires several kinds of spaceships including a 4c/4:

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``````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!
``````

EricG
Posts: 199
Joined: August 19th, 2011, 5:41 pm
Location: Chicago-area, USA

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:

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``````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

Ivan
Posts: 8
Joined: August 13th, 2011, 2:22 pm

``````x = 26, y = 18, rule = B36/S23