X-Rule

[jmgomez]

@thunk:

Yes, no question about it!. But I'm interested in produced glider gun "a". Do you have another glider gun "a"?

Regards
-jm

[M. I. Wright]

Well, Ga2 can demote another one into a regular Ga at p24:

Code: Select all

x = 73, y = 29, rule = pre-x-rule
49bobo17bo$48b2o19bo2$22bobo23bo10bobo9b2o$3bo20b2o31b2obob2o$3bo56bo$
25bo31b2obob2o$2o57bobo$7b2o2bobo2b2o26b2o$9b2o3b2o36bobo11bobo$7b2o2b
obo2b2o34bobo11bobo$4bobo11bobo30bo3bo9bo3bo$4bobo11bobo6b2o23b3o11b3o
$5bo13bo31bo3bo9bo3bo$5bo13bo32bobo11bobo$4bobo11bobo31bobo11bobo2$4bo
bo11bobo38bobo$5bo13bo37b2obob2o$5bo13bo40bo$4bobo11bobo36b2obob2o$4bo
bo11bobo27b2o9bobo9b2o$7b2o2bobo2b2o$9b2o3b2o35bo17bo$7b2o2bobo2b2o33b
o17bo$2o21b2o2$3bo17bo$3bo17bo!

[jmgomez]

@M. I. Wright: Very Nice!

Here another one with high period:

Code: Select all

#CXRLE Pos=0,0
x = 61, y = 26, rule = pre-x-rule
3bo17bobo$3bo19b2o12bobo17bo$36b2o19bo$2o9bobo10bo$9b2obob2o20bo10bobo
9b2o$12bo32b2obob2o$9b2obob2o32bo$11bobo31b2obob2o$47bobo$4bobo11bobo$
4bobo11bobo19bobo11bobo$3bo3bo9bo3bo18bobo11bobo$4b3o11b3o18bo3bo9bo3b
o$3bo3bo9bo3bo18b3o11b3o$4bobo11bobo18bo3bo9bo3bo$4bobo11bobo19bobo11b
obo$40bobo11bobo$11bobo$9b2obob2o31bobo$12bo32b2obob2o$9b2obob2o32bo$
2o9bobo9b2o20b2obob2o$36b2o9bobo9b2o$3bo17bo$3bo17bo17bo17bo$39bo17bo!

-jm

[thunk]

Yes, no question about it!. But I'm interested in produced glider gun "a". Do you have another glider gun "a"?

A domino can turn a Gc into a Ga. The conversion here is trivial.

[jmgomez]

@thunk: Excellent!



-jm

[thunk]

Ga, Gc, and Ga2, at p144:

Code: Select all

x = 75, y = 26, rule = pre-x-rule
22b2o$3bo47bobo17bo$3bo19bobo24b2o19bo$25bo$2o8bo3bo35bo10bobo9b2o$8b
4ob4o42b2obob2o$62bo$8b4ob4o42b2obob2o$10bo3bo46bobo$4bobo11bobo$4bobo
11bobo33bobo11bobo$3b2ob2o9b2ob2o32bobo11bobo$4bobo11bobo32bo3bo9bo3bo
$54b3o11b3o$4bobo11bobo32bo3bo9bo3bo$3b2ob2o9b2ob2o32bobo11bobo$4bobo
11bobo33bobo11bobo$4bobo11bobo$10bo3bo46bobo$8b4ob4o42b2obob2o$62bo$8b
4ob4o42b2obob2o$2o8bo3bo8b2o25b2o9bobo9b2o2$3bo17bo31bo17bo$3bo17bo31b
o17bo!

[jmgomez]

@thunk: Cool!



-jm

[BlinkerSpawn]

Breeder using the structure of the backrake-based breeder and the p408 GGc:

Code: Select all

x = 138, y = 137, rule = pre-x-rule
37bo17bo17bo17bo$37bo17bo17bo17bo2$34b2o10bo10b2o11b2o10bo10b2o2$41b2o
3bo3b2o25b2o3bo3b2o2$39bo6bo6bo21bo6bo6bo$39bo13bo21bo13bo4$37bobobo9b
obobo17bobobo9bobobo4$39bo13bo12b2o7bo13bo$39bo6bo6bo21bo6bo6bo2$41b2o
3bo3b2o25b2o3bo3b2o$57bo13bo$34b2o10bo8bobo13bobo8bo10b2o$61b2o3b2o$
37bo16b2o6bo3bo6b2o16bo$37bo53bo7$61b2o3b2o2$3bo17bo$3bo17bo$61bo5bo$
2o10bo10b2o36bo5bo$7bo3b3o3bo$6bo11bo$5b2o4b3o4b2o$4bo7bo7bo4$4bobo11b
obo$3b2ob2o9b2ob2o$4bobo11bobo4$4bo7bo7bo$5b2o4b3o4b2o$6bo11bo$7bo3b3o
3bo$2o10bo2$3bo22bo3bo$3bo20b2o2bo2bo$24bo$23bo6b2o$16bo18b2o38bo$16bo
15bo42bo4bo17bo17bo17bo$26bo4bo3bo44bo8bo8bo17bo8bo8bo$23b2o5bo33bo17b
o5bobo5bo21bo5bobo5bo$26bo4bo3bo41b2o2bo6bobo6bo2b2o11b2o2bo6bobo6bo2b
2o$32bo29bo3bo13b2o3bo7bo3b2o17b2o3bo7bo3b2o$35b2o42bo6bo5bo6bo15bo6bo
5bo6bo$23bo6b2o31bobo18b2o7b2o25b2o7b2o$24bo39bo18bo4bobo4bo23bo4bobo
4bo$3bo20b2o2bo2bo49bobo4bobo4bobo19bobo4bobo4bobo$3bo22bo3bo51bo6bo6b
o21bo6bo6bo2$2o10bo66b2o3b2o7b2o3b2o15b2o3b2o7b2o3b2o$7bo3b3o3bo60bo7b
o5bo7bo13bo7bo5bo7bo$6bo11bo60b2o3b2o7b2o3b2o15b2o3b2o7b2o3b2o$5b2o4b
3o4b2o41bo$4bo7bo7bo41b2o18bo6bo6bo21bo6bo6bo$81bobo4bobo4bobo11b2o6bo
bo4bobo4bobo$83bo4bobo4bo23bo4bobo4bo$84b2o7b2o25b2o7b2o$4bobo11bobo
58bo6bo5bo6bo15bo6bo5bo6bo$3b2ob2o9b2ob2o58b2o3bo7bo3b2o17b2o3bo7bo3b
2o$4bobo11bobo56b2o2bo6bobo6bo19bo6bobo6bo2b2o$82bo5bobo5bo21bo5bobo5b
o$37bo42bo8bo35bo8bo$37bo42bo53bo$4bo7bo7bo$5b2o4b3o4b2o$6bo11bo$7bo3b
3o3bo$2o10bo10b2o38bo41bo3bo$62bo42bo3bo$3bo17bo40bo44bo$3bo17bo85bo
43$109b2o!

[wildmyron]

Here is a series of adjustable period glider guns for Gc. Unfortunately they are nowhere near as adjustable as I was hoping for.

Code: Select all

#C Adjustable period glider gun for glider Gc in pre-x-rule
#C Period = (41 + 8*n)*8*m for any n,m in [b]N[/b], n >= 0 and m >= 1
#C  n    m   period
#C  0    1    328
#C  0    2    656
#C  1    1    392
#C  1    2    784
x = 235, y = 114, rule = pre-x-rule
15bo4bo$2b2o11bo4bo11b2o$8b2o16b2o$7bo20bo$8b2o16b2o$2b2o11bo4bo11b2o$
15bo4bo4$33bo$31bo$30bo4bo$31bo$33bo3$100bo4bo$87b2o11bo4bo11b2o$93b2o
16b2o$92bo20bo$93b2o16b2o$87b2o11bo4bo11b2o$100bo4bo7$15bo4bo$2b2o11bo
4bo11b2o$8b2o16b2o$7bo20bo$8b2o16b2o$2b2o11bo4bo11b2o$15bo4bo4$33bo$
31bo$30bo4bo$31bo$33bo3$182bo4bo$169b2o11bo4bo11b2o$175b2o16b2o$174bo
20bo$175b2o16b2o$169b2o11bo4bo11b2o$182bo4bo7$15bo4bo$2o13bo4bo13b2o$
8b2o16b2o$7bo20bo$8b2o16b2o$2o13bo4bo13b2o$15bo4bo4$33bo$31bo$30bo4bo$
31bo$33bo3$116bo4bo$101b2o13bo4bo13b2o$109b2o16b2o$108bo20bo$109b2o16b
2o$101b2o13bo4bo13b2o$116bo4bo7$15bo4bo$2o13bo4bo13b2o$8b2o16b2o$7bo
20bo$8b2o16b2o$2o13bo4bo13b2o$15bo4bo4$33bo$31bo$30bo4bo$31bo$33bo3$
214bo4bo$199b2o13bo4bo13b2o$207b2o16b2o$206bo20bo$207b2o16b2o$199b2o
13bo4bo13b2o$214bo4bo!

I thought that there was a similar gun in the rule x-rule-pre but I can't find it now. In any case, here is the key reaction. If another oscillator of small, even period which has the same spark can be found then the period adjustment would be much more flexible.

Code: Select all

x = 4, y = 8, rule = pre-x-rule
2b2o$bo$2b2o3$obo2$obo!

Here is another mechanism to create an adjustable period gun - a 2Gc -> 4Gc reaction. Unfortunately the phase change of the reaction is different from that of the known reflectors which means that none of the reflectors I am aware of can maintain the reaction.

Code: Select all

x = 95, y = 25, rule = pre-x-rule
54bobo35bobo$54bobo35bobo$54bobo35bobo$54bobo35bobo$54bobo35bobo$54bob
o35bobo$54bobo35bobo$54bobo35bobo$54bobo35bobo$2o33b2o$bo33bo33bo9bo$
13b2o7b2o45b3o5b3o$12bo11bo42b2o11b2o$13b2o7b2o45b3o5b3o$bo33bo33bo9bo
$2o33b2o$54bobo35bobo$54bobo35bobo$54bobo35bobo$54bobo35bobo$54bobo35b
obo$54bobo35bobo$54bobo35bobo$54bobo35bobo$54bobo35bobo!

A few gfind results:

c/4 orthogonal:

Code: Select all

x = 17, y = 9, rule = pre-x-rule
2ob3o5b3ob2o$2o5bobo5b2o$2bo3bo3bo3bo$4bo7bo$6b5o$bobo4bo4bobo$o3bo7bo
3bo$b3o9b3o$2bo11bo!

c/6 diagonal (p3 glide reflect):

Code: Select all

x = 10, y = 10, rule = pre-x-rule
4bo$4bobo2$3bob3o$2bob2obobo$o4b3o$6b2o$2ob2o2$2b2o!

[Scorbie]

Wow.

Here is a series of adjustable period glider guns for Gc. Unfortunately they are nowhere near as adjustable as I was hoping for. ...
Period = (41 + 8*n)*8*m for any n,m in N, n >= 0 and m >= 1

Hmm. Yep, that's quite a restriction, but still this is the first one of its kind, right? And this one you found seems to be newly found, right?

Code: Select all

x = 32, y = 7, rule = pre-x-rule
13bo4bo$2o11bo4bo11b2o$6b2o16b2o$5bo20bo$6b2o16b2o$2o11bo4bo11b2o$13bo
4bo!

That's an odd adjustible period oscillator. I think this rule has the potential of omniperiodicity.

A few gfind results:

Huh, you tweaked gfind to work with non-totalistic rules?! That's really a big acheivement. Congrats for your discoveries!

[wildmyron]

Here is a series of adjustable period glider guns for Gc. Unfortunately they are nowhere near as adjustable as I was hoping for. ...
Period = (41 + 8*n)*8*m for any n,m in N, n >= 0 and m >= 1

Hmm. Yep, that's quite a restriction, but still this is the first one of its kind, right? And this one you found seems to be newly found, right?

Thanks. Yes, I believe it's the first gun based on a duplicating reaction in this rule. I thought I had already posted the p41+8N oscillator but on review it seems I haven't until now.

Code: Select all

x = 32, y = 7, rule = pre-x-rule
13bo4bo$2o11bo4bo11b2o$6b2o16b2o$5bo20bo$6b2o16b2o$2o11bo4bo11b2o$13bo
4bo!

That's an odd adjustible period oscillator. I think this rule has the potential of omniperiodicity.

Hmm, quite possibly. So far we have:

Code: Select all

Fixed oscillator periods:
2, 3, 4, 5, 6, 8, 10, 12, 19, 24, 25, 27

Adjustable oscillator periods:
6 + 8*n, n >= 0
41 + 8*n, n >= 0
(41 + 8*n)*8*m, n >= 0 and m >= 1

Various multiples of the known gun periods: p19 and p24 (depending on existence of requisite period multiplier)

Finding a Ga -> Gc conversion reaction which can be paired with the known Gc -> Ga converters would go a long way to completing a proof.

Huh, you tweaked gfind to work with non-totalistic rules?! That's really a big acheivement. Congrats for your discoveries!

No, not me - but thanks for the congrats . I'm using the technique and scripts developed by Paul Tooke and EricG to search non-totalistic rules with gfind. Details in the Adapting gfind thread.

[Scorbie]

No, not me - but thanks for the congrats . I'm using the technique and scripts developed by Paul Tooke and EricG to search non-totalistic rules with gfind. Details in the Adapting gfind thread.

Ah I see! It's pretty cool to see spaceships fly in such an unexplored rule. Everything stablilizes fairly quickly so I didn't expect to see those kind of engineered objects. Congrats anyway!

[Tropylium]

I'm attempting to make sense of the precise motivation behind X-Rule and its "precedessor" (alphabetic ordering of transition environments is terrible for this!), but it's apparent that this is, in terms of its grown type, a more heavily "de-totalized" version of the SansDomino rule class. The small glider and small spaceship, in particular, are exactly those as also appear in SD-B2/S14.

[AndyWuensche]

Hello wildmyron and X-Rule (precursor) aficionados!
I'm the co-author with jmgomez of the X-Rule paper (http://scirate.com/arxiv/1504.01434) which was mainly researched with my program DDLab (http://www.ddlab.org) of which I'm the author.
I've added a function in DDLab to save a DDLab pattern in Golly's format, and also to load a Golly pattern script into DDLab.
I did this because I wanted to see the patterns posted on the forum actually running, especially glider-guns for x-rule-pre, fantastic results! loading the pattern scripts into DDLab was the only way because Golly itself unfortunately refuses to install on my laptop running Ubuntu 11.10.
Although not as critical because any birth/survival Life-like rule can be set in DDLab, it would be nice to also translate rules between DDLab and Golly because there are 1000's of interesting rules that were sampled in the search that finally yielded x-rule-pre and the x-rule. I think I understand the @TABLE notation (what does "var" mean?), but I don't understand the script, B2eic3ic4rnj5ink/S12aen3c4qiyne5re6aei8 for the x-rule-pre. B=birth, S=survival, a to h is noted, but what do i,j,k,m,n,q,r,y stand for? and 8 at the the end?

Andy Wuensche
http://www.ddlab.org
http://www.ddlab.org/Xrule.html

By the way, I kinda doubt that guns are impossible in the isometric X-rule predecessor... I'll make a ruletable for it soon to search around for one.

My thoughts precisely. Hopefully I've managed to interpret the rule correctly - if so, the the X-rule precursor in Alan Hensel's notation is B2eic3ic4rnj5ink/S12aen3c4qiyne5re6aei8. Let's call it x-rule-pre for short. Here's a ruletable:

Code: Select all

@RULE x-rule-pre
This rule is B2eic3ic4rnj5ink_S12aen3c4qiyne5re6aei8
It is an isotropic 'precursor' rule to a non-isotropic rule known as x-rule which has been shown to support logic universality by J.M. Gomez-Soto and A. Wuensche.

** NOTE ** This rule-table was incorrectly posted as the precursor to the x-rule. In fact it is very similar but the actual precursor rule additionally has S2i but not S3c.

[1] Gomez-Soto,JM., and A.Wuensche,“The X-rule: universal computation in a
non-isotropic Life-like Cellular Automaton”

*** File autogenerated by saverule. ***

This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details.

@TABLE

n_states:2
neighborhood:Moore
symmetries:rotate4reflect

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

# Birth
0,1,0,1,0,0,0,0,0,1
0,1,0,0,0,1,0,0,0,1
0,0,1,0,1,0,0,0,0,1
0,1,1,0,0,0,0,0,1,1
0,0,1,0,1,0,1,0,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,0,1,0,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,0,0,1,0,1
0,1,1,0,1,0,1,1,0,1

# Survival
1,1,0,0,0,0,0,0,0,1
1,0,1,0,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,1,0,1,0,0,0,0,0,1
1,0,1,0,0,0,1,0,0,1
1,0,1,0,1,0,1,0,0,1
1,1,1,1,0,0,1,0,0,1
1,1,1,0,1,1,0,0,0,1
1,1,1,0,1,0,1,0,0,1
1,1,1,0,1,0,0,0,1,1
1,1,0,1,0,1,0,1,0,1
1,1,1,0,1,1,1,0,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,1,1,1,1,0,0,1
1,1,1,1,1,0,1,0,1,1
1,1,1,0,1,1,1,0,1,1
1,1,1,1,1,1,1,1,1,1

# Death
1,a,b,c,d,e,f,g,h,0

Correction: This rule-table was incorrectly posted as the precursor to the x-rule. In fact it is very similar but the actual precursor rule additionally has S2i but not S3c. See the next page for the correct rule table.

A lot of the simple patterns which don't rely on the non-isotropy of X-rule are of course common between the two rules. E.g. the orthogonal glider Gc and three tagalong's posted by danieldb (E/W as well as N/S), the diagonal glider Ga and extensions, the p2 and p6 oscillators, the reflector based oscillators and presumably many others.

Code: Select all

x = 50, y = 67, rule = x-rule-pre
2bo45b2o$2o45bo$2b2o44b2o$bo7$5bo42b2o$2o3bo38b2obo$3bo44b2o$2bo$3bo$
2o3bo$5bo3$41bo$6bo36bo4b2o$2o4bo32bo3bo3bo$3bo39bo4b2o$2bo38bo$3bo$2o
4bo$6bo3$41bo$43bo4b2o$8bo30b2o2bo3bo$2o6bo34bo4b2o$3bo37bo$2bo$3bo$2o
6bo$8bo13$49bo$47b2o4$44bo$42b2o$42bo$41bo4$37bo$35b2o$35bo$34bo$32b2o
!

There are also other oscillators: p15 and p22

Code: Select all

x = 21, y = 5, rule = x-rule-pre
18b2o$12bo$5o11bobobo$12bo$18b2o!

Two of the p22 make a gun for glider Gc:

Code: Select all

x = 14, y = 13, rule = x-rule-pre
2o$2bo$obo3b3o$2bo8bo$2o8bobo$11bo3$11bo$9bo3bo$10bobo$9bo3bo$10bobo!

There is a naturally occurring c/25 puffer (p50) which emits forward and backward streams of glider Gc (surely known by jmgomez?):

Code: Select all

x = 2, y = 5, rule = x-rule-pre
2o2$o2$2o!

and the N/S sparky ship from x-rule is a p16 c/2 domino puffer:

Code: Select all

x = 9, y = 10, rule = x-rule-pre
$7b2o$6bo$o6b2o$o3bo$o3bo$o6b2o$6bo$7b2o!

There are many possibilities for line puffers based on Gc. Here are a few:

Code: Select all

x = 4, y = 9, rule = x-rule-pre
obo$3bo$obo2$o$2bo$3bo$2bo$o!

Code: Select all

x = 6, y = 13, rule = x-rule-pre
2bobo$5bo$2bobo$o$o$2bobo$5bo$2bobo$o$o$2bobo$5bo$2bobo!

Code: Select all

x = 17, y = 13, rule = x-rule-pre
13bobo$16bo$10bo2bobo$9bobo$2o7bobo$2bo2bo4bo2bobo$obo13bo$2bo2bo4bo2b
obo$2o7bobo$9bobo$10bo2bobo$16bo$13bobo!

Code: Select all

x = 16, y = 13, rule = x-rule-pre
12bobo$15bo$9bo2bobo$8bobo$8bobo$bob2o4bo2bobo$ob2o11bo$bob2o4bo2bobo$
8bobo$8bobo$9bo2bobo$15bo$12bobo!

Code: Select all

x = 4, y = 23, rule = x-rule-pre
obo$3bo$obo2$o$2bo$3bo$2bo$o6$o$2bo$3bo$2bo$o2$obo$3bo$obo!

[Andrew]

Welcome to the forums Andy!

... Golly itself unfortunately refuses to install on my laptop running Ubuntu 11.10.

That is surprising to hear -- I know a number of people who use Golly on Ubuntu. What error message(s) are you getting? Are you downloading the appropriate binary distribution that matches your 32/64-bit system?

At our sf download page (https://sourceforge.net/projects/golly/ ... golly-2.7/) there are 2 possible files for Linux systems:

golly-2.7-gtk64.tar.gz -- 64-bit version
golly-2.7-gtk.tar.gz -- 32-bit version

Or if you want to build Golly from source code, download golly-2.7-src.tar.gz and follow the instructions in docs/Build.html.

[AndyWuensche]

Welcome to the forums Andy ... golly-2.7-gtk64.tar.gz ... 64-bit version!

Hi Andrew
thanks -- have this version of Golly working on Ubuntu 11.10, and learning how to use it.
(problem before was -- sudo apt-get install golly -- gave multiple error messages)
Andy Wuensche
http://www.ddlab.org

[BlinkerSpawn]

I think I understand the @TABLE notation (what does "var" mean?), but I don't understand the script, B2eic3ic4rnj5ink/S12aen3c4qiyne5re6aei8 for the x-rule-pre. B=birth, S=survival, a to h is noted, but what do i,j,k,m,n,q,r,y stand for? and 8 at the the end?

There's a difference between a through h in the ruletable and the letters in the notation. "var" is a variable declaration, in this case the variables are allowed to be any either ON or OFF and are used in the final line to mean
Any ON cell with any possible neighborhood dies.
All survival consitions are listed above that line, so those take precedence, and the final line cleans up everything that shouldn't survive.
Now, the letters in Hensel's rule notation represent different neighborhood sets. For example, B2eic means
Birth on 2 neighbors if those neighbors are arranged in configurations 2e, 2i, or 2c.
The solitary 8 is there because there is only one possible way to have 8 ON neighbors out of 8 neighbors.

[Scorbie]

These may be known, but there are a couple of quasinatural infinite growths in only 600 soups of x-rule-pre:

Code: Select all

x = 7, y = 11, rule = x-rule-pre
3bo2$3bo2$b5o3$2o3b2o$bo3bo2$3bo!

From this soup:

Code: Select all

x = 31, y = 31, rule = x-rule-pre
2o2bo2bobo2bo5bo2bobo2bo2b2o$obobo2b2ob11ob2o2bobobo$b3obobobo2bob3obo
2bobobob3o$2b2ob3obo3bo3bo3bob3ob2o$2o2b2o6bo2bo2bo6b2o2b2o$2b5obo2bo
2b3o2bo2bob5o$3bobo2bo3bobobobo3bo2bobo$4o4bob3obobob3obo4b4o$bo3b3ob
3o7b3ob3o3bo$ob2o4bob5ob5obo4b2obo$bo5b3o3bobobo3b3o5bo$bo3bob3o5bo5b
3obo3bo$3obob2obo2bo5bo2bob2obob3o$bobo5b2o9b2o5bobo$b2o2b3obo4bobo4bo
b3o2b2o$b2ob2o4b2o7b2o4b2ob2o$b2o2b3obo4bobo4bob3o2b2o$bobo5b2o9b2o5bo
bo$3obob2obo2bo5bo2bob2obob3o$bo3bob3o5bo5b3obo3bo$bo5b3o3bobobo3b3o5b
o$ob2o4bob5ob5obo4b2obo$bo3b3ob3o7b3ob3o3bo$4o4bob3obobob3obo4b4o$3bob
o2bo3bobobobo3bo2bobo$2b5obo2bo2b3o2bo2bob5o$2o2b2o6bo2bo2bo6b2o2b2o$
2b2ob3obo3bo3bo3bob3ob2o$b3obobobo2bob3obo2bobobob3o$obobo2b2ob11ob2o
2bobobo$2o2bo2bobo2bo5bo2bobo2bo2b2o!

And

Code: Select all

x = 7, y = 13, rule = x-rule-pre
3bobo$6bo$3bobo$bo$2o$3bobo$6bo$3bobo$2o$bo$3bobo$6bo$3bobo!

From:

Code: Select all

x = 31, y = 31, rule = x-rule-pre
3bo3b5o3bo3b5o3bo$bo2bo3b3o2bobobo2b3o3bo2bo$4bo2b2ob4obob4ob2o2bo$o2b
o6b2o7b2o6bo2bo$b2o3b7obobob7o3b2o$6bobobo9bobobo$4b4o3b3obob3o3b4o$ob
obobobobo2bobobo2bobobobobobo$3ob2ob2o2bo3bo3bo2b2ob2ob3o$2o2bo4b2obob
3obob2o4bo2b2o$6obobo3bobobo3bobob6o$ob3obobo4bo3bo4bobob3obo$2bobobo
2bo3b5o3bo2bobobo$b2o3b2o2b11o2b2o3b2o$4bo4bo2b3ob3o2bo4bo$3o3b5ob2o3b
2ob5o3b3o$4bo4bo2b3ob3o2bo4bo$b2o3b2o2b11o2b2o3b2o$2bobobo2bo3b5o3bo2b
obobo$ob3obobo4bo3bo4bobob3obo$6obobo3bobobo3bobob6o$2o2bo4b2obob3obob
2o4bo2b2o$3ob2ob2o2bo3bo3bo2b2ob2ob3o$obobobobobo2bobobo2bobobobobobo$
4b4o3b3obob3o3b4o$6bobobo9bobobo$b2o3b7obobob7o3b2o$o2bo6b2o7b2o6bo2bo
$4bo2b2ob4obob4ob2o2bo$bo2bo3b3o2bobobo2b3o3bo2bo$3bo3b5o3bo3b5o3bo!

[drc]

I'm going to census this rule (pre-x-rule) on catagolue

[BlinkerSpawn]

Breeder I made a few days ago that I'm surprised nobody came up with earlier (EDIT: Shrunk):

Code: Select all

x = 188, y = 52, rule = B2eic3ic4rnj5ink/S12aein4qiyne5re6aei8
157b2o3b2o$140b2o3b2o10bo5bo$123b2o3b2o10bo2bo2bo13bo$106b2o3b2o10bo2b
o2bo12bobo14bobo$89b2o3b2o10bo2bo2bo12bobo$72b2o3b2o10bo5bo13bo14bo3bo
13bobo13bo3bo$55b2o3b2o10bo5bo28bobobo$38b2o3b2o10bo5bo30bo15b3o15bo
33bo$21b2o3b2o10bo5bo45bo3bo$4b2o3b2o10bo5bo$4bo5bo142b2o11b2o$136b2o
11b2o2bo2bo7bo2bo$6bobo14bobo14bobo14bobo14bobo14bobo14bobo8b2o4bobo4b
2o2bo2bo2bobo2bo2bo4b2o2b3o2b2o$6bobo14bobo14bobo14bobo14bobo14bobo8b
2o4bobo4b2o2bo2bo2bobo2bo2bo4b2o2bobo2b2o11bo$5b2ob2o14bo14b2ob2o14bo
14b2ob2o7b2o5bo5b2o2bo2bo3bo3bo2bo4b2ob2ob2ob2o9bo3bo$7bo33bo26b2o4b3o
4b2o2bo2bo7bo2bo4bo2bobobo2bo10bobo14b3o15bo$7bo33bo9b2o11b2o2bo2bo3bo
3bo2bo4bo2bobobo2bo8b3ob3o28bo3bo9b2o2b3o2b2o$34b2o11b2o2bo2bo7bo2bo4b
2o7b2o8bo5bo9bobo3bobo11bobo10b2o2bobo2b2o4bo2bo7bo2bo$17b2o5bo5b2o2bo
2bo3bo3bo2bo4b2o7b2o8b2o3b2o9b2o5b2o9b3ob3o8b2ob2ob2ob2o4bo2bo2bobo2bo
2bo2b2o11b2o$2o5bo5b2o2bo2bo7bo2bo4b2obobobob2o9b5o28bo5bo8bo2bobobo2b
o4bo2bo2bobo2bo2bo2b2o11b2o$o2bo2b3o2bo2bo4b2obobobob2o9bo3bo14bo13b2o
3b2o8bo2bobobo2bo4bo2bo3bo3bo2bo2b2o4bobo4b2o$2bo3bobo3bo43b5o9b2o7b2o
4bo2bo7bo2bo2b2o4bobo4b2o43bo8b2o5b2o$22bobobo12bo3bo9b2o7b2o4bo2bo3bo
3bo2bo2b2o5bo5b2o8bobo58bo7bo$3bo7bo24b2obobobob2o4bo2bo7bo2bo2b2o4b3o
4b2o8bobo64bo3bo8bo3bo$19b2obobobob2o4bo2bo3bo3bo2bo2b2o11b2o7b2ob2o
13bobo76b2o3b2o$2bo3bobo3bo4bo2bo7bo2bo2b2o11b2o25bobo49bo15bobo14bobo
10bobo11b2o$o2bo2b3o2bo2bo2b2o5bo5b2o9bo16bo15bobo50bo32bo11bobo12bo$
2o5bo5b2o26bo15bobo64bo17bo4bo15bobo4b2obob2o4bobo$39b2ob2o13bobo78bo
4b2o9b2o6bo7bobobobo7bo$40bobo82bo10b3o5bo4bo6bo6bobo4b2obob2o4bobo$7b
o16bo15bobo59bo15b2o6bo12b2o4bo8b2o16bobo12bo$7bo15bobo74b3o7bo9bo6b2o
7b3o8bo24bobo11b2o$5b2ob2o13bobo40bo9bo5b2o8bobo8b2o4bo8b2o18bo31b2o3b
2o$6bobo55b3o7bo9bo6bo8b3o7bo60bo3bo$6bobo21bo9bo5b2o8bobo8b2o4bo4bo3b
2o8bobo7bo66bo7bo$28b3o7bo9bo6bo8b3o7bo94b2o5b2o$10b2o8bobo8b2o4bo4bo
3b2o8bobo7bo9bo$12bo6bo8b3o7bo60b2o5b2o$10b2o8bobo7bo9bo58bo7bo$101bo
3bo$100b2o3b2o$102bobo11b2o$22bo9bo27bo9bo27bo3bobo3bo8bo$11bobo6b3o7b
o8b2o8bobo6b3o7bo8b2o8bobo6b4o7b4o$10bo12b2o4bo4bo6bo6bo12b2o4bo4bo6bo
6bo12b2o5b2o$11bobo6b3o7bo8b2o8bobo6b3o7bo8b2o8bobo6b4o7b4o$22bo9bo27b
o9bo27bo3bobo3bo8bo$102bobo11b2o$15bo84b2o3b2o$15bo85bo3bo$99bo7bo$99b
2o5b2o!

[jmgomez]

Very Nice, BlinkerSpawn!

Best Regards

-jm

[BlinkerSpawn]

Turns out I didn't need three of the guns.

Code: Select all

x = 128, y = 44, rule = B2eic3ic4rnj5ink/S12aein4qiyne5re6aei8
89b2o3b2o$72b2o3b2o10bo5bo$55b2o3b2o10bo5bo$38b2o3b2o10bo5bo12bobo14bo
bo$21b2o3b2o10bo5bo12bobo14bobo14bobo$4b2o3b2o10bo2bo2bo12bobo13b2ob2o
14bo14b2ob2o$4bo5bo12b3o13b5o14bo26b2o4b3o4b2o$22b2ob2o31bo9b2o11b2o2b
o2bo3bo3bo2bo$22bo3bo24b2o11b2o2bo2bo7bo2bo4b2o7b2o$7bo16bo9b2o5bo5b2o
2bo2bo3bo3bo2bo4b2o7b2o8b2o3b2o$17b2o5bo5b2o2bo2bo7bo2bo4b2obobobob2o
9b5o$2o11b2o2bo2bo2b3o2bo2bo4b2obobobob2o9bo3bo14bo13b2o3b2o$o2bo3bo3b
o2bo4bo3bobo3bo43b5o9b2o7b2o$2b2o2bobo2b2o26bobobo12bo3bo9b2o7b2o4bo2b
o3bo3bo2bo$20bo7bo24b2obobobob2o4bo2bo7bo2bo2b2o4b3o4b2o$6b3o27b2obobo
bob2o4bo2bo3bo3bo2bo2b2o11b2o7b2ob2o$19bo3bobo3bo4bo2bo7bo2bo2b2o11b2o
25bobo$2b2o2bobo2b2o4bo2bo2b3o2bo2bo2b2o5bo5b2o9bo16bo15bobo19b2o5b2o$
o2bo3bo3bo2bo2b2o5bo5b2o26bo15bobo36bo7bo$2o11b2o41b2ob2o13bobo38bo3bo
$57bobo54b2o3b2o$24bo16bo15bobo57bo8b2o$24bo15bobo73bobo8bo$22b2ob2o
13bobo40bo9bo5b2o8bobo3bo3bo3bobo$23bobo55b3o7bo9bo6bo6bobobo6bo$7bo
15bobo21bo9bo5b2o8bobo8b2o4bo4bo3b2o8bobo3bo3bo3bobo$6bobo36b3o7bo9bo
6bo8b3o7bo24bobo8bo$6bobo2bo9bo5b2o8bobo8b2o4bo4bo3b2o8bobo7bo9bo23bo
8b2o$9b3o7bo9bo6bo8b3o7bo58b2o3b2o$12b2o4bo4bo3b2o8bobo7bo9bo41b2o5b2o
7bo3bo$9b3o7bo79bo7bo5bo7bo$11bo9bo79bo3bo7b2o5b2o$100b2o3b2o$112b2o$
12bo27bo9bo27bo9bo13bobo8bo$10bo8b2o8bobo6b3o7bo8b2o8bobo6b3o7bo8b2o5b
obo5b2o$9bo4bo6bo6bo12b2o4bo4bo6bo6bo12b2o4bo4bo6bo4b3o4bo$10bo8b2o8bo
bo6b3o7bo8b2o8bobo6b3o7bo8b2o5bobo5b2o$12bo27bo9bo27bo9bo13bobo8bo$
112b2o$15bo84b2o3b2o$15bo85bo3bo$99bo7bo$99b2o5b2o!

NOTE: Due to the nature of the breeder and its output, this runs really well at high step sizes.
EDIT (Mar 28 2018): I think there's something to be said about looking at something with fresh eyes:

Code: Select all

x = 91, y = 42, rule = B2cei3ci4jnr5ikn/S12-ck4einqy5er6aei8
60b2o3b2o$47b2o3b2o6bo5bo$34b2o3b2o6bo2bo2bo$21b2o3b2o6bo5bo9bo$8b2o3b
2o6bo2bo2bo20bobobo10bo$8bo5bo8b3o23b3o10bobo$22b2ob2o9bobo17b2o11b2o$
11bo10bo3bo9bobo4b2o11bo2bo7bo2bo$10bobo11bo5b2o5bo5bo2bo2b3o2bo3bo9bo
$17b2o5bo5bo2bo7bo3b2o2bobo2b2o4b3ob3o$4b2o4bobo4bo2bo2b3o2bo3bo2bobob
o2bo4b2obob2o7b2ob2o$4bo2bo2b3o2bo3bo3bobo3bo4bo5bo8bobo8b3ob3o$6bo2b
2ob2o2bo16b2o5b2o5b2obob2o4bo9bo$10bobo7bo7bo5bo5bo4b2o2bobo2b2o3bo7bo
2bo$9bo3bo18bo2bobobo2bo3bo2b3o2bo2bo11b2o$b2o7bobo6bo3bobo3bo3bo7bo2b
o11b2o4bobo$2bo3bo2b2ob2o2bo3bo2b3o2bo2bo5bo5b2o18bo$4bo2bo2b3o2bo2bo
5bo5b2o4bobo37b2o5b2o$4b2o4bobo4b2o17bobo37bo7bo$49bobo26bo3bo$10bobo
11bo52b2o3b2o$11bo12bo24bobo28bo8b2o$22b2ob2o23bo28bobo8bo$23bobo30bo
15bobo3bo3bo3bobo$23bobo21bo6bo8b2o6bo6bobobo6bo$45b3o5bo4bo6bo6bobo3b
o3bo3bobo$21bo5b2o8bobo8b2o4bo8b2o14bobo8bo$19bo9bo6bo8b3o8bo23bo8b2o$
bobo14bo4bo3b2o8bobo7bo29b2o3b2o$o18bo46b2o7bo2bo3bo$bobo17bo44bo2bo3b
o2bo7bo$68b2o3b2o8b2o$71bo8b2o$22bo9bo27bo20bo$b2o8bobo6b3o7bo8b2o8bob
o6b3o7bobobobo$3bo6bo12b2o4bo4bo6bo6bo12b2o4bo3bo3bo$b2o8bobo6b3o7bo8b
2o8bobo6b3o7bobobobo$22bo9bo27bo20bo$71bo8b2o$68b2o3b2o$66bo2bo3bo2bo$
66b2o7b2o!

[jmgomez]

Ja ok, I will take the short one!

Best Regards
-jm

[BlinkerSpawn]

Yeah... As I was saying. hyperspeed really likes this breeder.

[toroidalet]

P16 Ga backrake:

Code: Select all

x = 8, y = 13, rule = B2eic3ic4rnj5ink/S12aein4qiyne5re6aei8
4bobo$7bo$4bobo$2bo$2bo$4bobo$7bo$bo2bobo$obo$obo$bo2bobo$7bo$4bobo!

I think this one is smaller than the other known ones.
EDIT: p6

Code: Select all

x = 6, y = 7, rule = B2cei3ci4jnr5ikn/S12aen3c4einqy5er6aei8
2o2b2o$o4bo2$b3o2$o4bo$2o2b2o!

EDIT2: a potential c/3

Code: Select all

x = 5, y = 9, rule = B2cei3ci4jnr5ikn/S12aen3c4einqy5er6aei8
bo$2o$bo2$2b3o2$bo$2o$bo!

probably useless.
EDIT3: a better one

Code: Select all

x = 6, y = 5, rule = B2cei3ci4jnr5ikn/S12aen3c4einqy5er6aei8
3b2o$5bo$3o2bo$5bo$3b2o!