ConwayLife.com

How was the ship in gems (B3457/S4568) found?
x = 12, y = 14, rule = B3457/S4568
5b2o$3bo4bo$3b2o2b2o$b3o4b3o$b3o4b3o$2ob6ob2o$3ob4ob3o$ob3o2b3obo$2ob6ob2o$ob
obo2bobobo$2b2ob2ob2o$2b8o$4b4o$4bo2bo!

It was found by David Eppstein using a program he wrote - named gsearch. Essentially, gsearch ...

ThePlayzr wrote: June 19th, 2026, 6:12 am I am quite new to LLS, and was wondering - I know how to require a rulespace search to have S5a and not S5y (S5a-y), but how do I do so for B8, S0, and S8?

Use 0c and 8c to force inclusion, 0-c and 8-c to force exclusion.

Is it possible to make this signal turn, and thus make loops?
x = 17, y = 17, rule = B2en3-acq6a7e/S2aek34a5aij6-e78
3b2ob2ob2ob2o$b15o$b15o$3o11b3o$3ob9ob3o$b2ob9ob2o$3ob2ob2ob3ob3o$3ob
3o4b2ob3o$b2ob3o3b3ob2o$3ob2o4b3ob3o$3ob3ob2ob2ob3o$b2ob9ob2o$3ob5ob3o
b3o$3o5bo5b3o$b8ob6o$b15o$3b2ob2ob2ob2o ...

rule = B2a3c/S...


Oops! It's B2c3a, not B2a3c.

Oops indeed! I really should have checked when those easy results turned up.
That certainly tempers my confidence about the affirmative answers.


EDIT 2: That c/5 is the fastest & smallest ship, proven with LLS...

Do you mean that's the ...

Edit Please ignore this post - irrelevant results from a different rulespace /Edit

That rulespace is so vast and clearly includes a variety of interesting behaviour, so I'm confident that the answer to most of your questions is Yes! with the following exceptions:
What speeds exist generally ...

I found a crystal that climbs up a p14 glider stream:
x = 83, y = 104, rule = B3/S23
39b2o$38bo2bob2o$37bo2b2obobo$37b2obo4bo$38bo2b2o2bob2o$36bo2bobo2b2o
2bo$35bob3obobo2bo$26bo9bo5bob2o$26b3o8b3o$4b2o23bo10b6o$4bobo4b2o3b2o
6b4o2bo4b3ob2o4bo$7bo3b2o2bobo6bo3b2o4bo3bobob2o$2o3b2obo6bobob2ob2o3b ...

If you are specifically interested in rules with a one cell spaceship, then I don't know of any, and I suspect there are none.


It's impossible in an isotropic 2-state rule because spaceships can't have rotational symmetry. However, there are B1e rules where a dot turns into four spaceships or ...

What INT rules are known with one cell thick spaceships?

There are so many it's not really interesting to keep a record. For example, this example one cell thick spaceship works in 2^75 INT rules:
x = 4, y = 1, rule = B2cin3aiy6c/S02ac3i
2obo!
There are almost three hundred different such ...

I've just pushed `2345a0101a81` which includes:

(*) `--constraint statorless`....

Is there any way to prevent other cell frequencies? That is, could LLSSS be set up to search for a p3 oscillator where all cells are on for exactly two out of three generations?


That is well within the ...

What is the lowest score possible in this game?
In the game, you have to make a totalistic rule, but the rule must have a totalistic spaceship. Each transition adds points, and the points go like this:
B2 - 8 192 points
S2 - 4 096 points
B3 - 2 048 points
S3 - 1 024 points
B4 - 512 points
S4 ...

I couldn't get recompile.sh to work, even if make and gcc is installed.
t6970@User:~/apgmera$ ls
LICENCE.txt immediate.sh lifelib makefile recompile.sh update-lifelib.sh
README.md includes main.cpp mkparams.py test
t6970@User:~/apgmera$ sudo ./recompile.sh --rule B2cen3kq4-j568/S14j5-kq6aik78
sh ...

follow up question: what is the slowest natural (at least 1% of objects) spaceship in any rule?

The short answer is: we don't know and we probably never will.

Without restricting the rulespace then I would say there is no slowest spaceship. There are so many possibilities to construct a rule ...

It's not entirely clear what's going on because the input commands are mixed up with the output - but it looks to me that that the command to run apgluxe is being interpreted as arguments to recompile.sh. Try running a single command at a time rather than pasting all of them into the console at ...

How do I fix this? (see quoted post)

It's not entirely clear what's going on because the input commands are mixed up with the output - but it looks to me that that the command to run apgluxe is being interpreted as arguments to recompile.sh. Try running a single command at a time rather than ...

Can you list some examples of 3-cell non-monotonic spaceships or tell me how to access the 5S database?

Most of the 3-cell spaceships slower than around c/3 are probably non-monotonic - especially the slower you get. You can find lots of them just browsing through the 5S thread . Some examples ...

Is there an easy way so that for every spaceship in matchPatt2.txt, the number of rules which it works in is displayed next to the RLE? For example:
5, B3/S23, 1, 1, 4, o$b2o$2o!, 2^82


If you are using a recent (hah!) sss.py library from the 5S database then, yes, this is fairly easy. Here's a ...

is there a spaceship with the rule B3/S with any combination of B456789 added? I know an oscillator in one, but I would like a spaceship.

Assuming your question is regarding Life-like rules, then the answer is no. Spaceships can not exist in the rule B3/S, and similarly for many of the other ...

Are there any other "Glider rewinders" besides this one?

x = 3, y = 3, rule = B2ckn3acjky4-qy5-jn678/S012ein3ciny4-ntwy5-cj6-k78
bo$2bo$3o!
[[ STEP 3 NOTHROTTLE ]]


There are some in the the Counterfeit gliders thread:
https://conwaylife.com/forums/viewtopic.php?p=49123#p49123
https ...

hotcrystal0 wrote: April 20th, 2025, 1:19 am Does there exist a CGoL simulator in bf?

This is neither an advanced question, nor is it even really a question about CGoL.
However, there is a simple answer to your question: https://brainfuck.org/life.b

I already installed lifelib, though I get an error at the end of lifelib.install_cygwin()

...
ModuleNotFoundError: No module named 'numpy'
...



This is the problem - the Python environment used to run lifelib commands does not have numpy installed.
Some background:
The lifelib Quikstart ...

Is there a way to stabilize this agar in the specified rule or some close non-explosive relative of it?
x = 145, y = 146, rule = B38/S23-c78
<snip solid filled rectangular area>


I tried a few searches in LLS and I'm confident it's not possible to stabilise the solid agar in the rule you ...

What would be a good, reliable algorithm for automatically computing the number of 'apparent turns' of a "beyblade" object (an oscillator or spaceship)?


This is a only a partial answer to this question but includes a proof of concept for a proposed method of detecting the number of apparent ...

Is there a program that receives min and max rules and returns a LLS rulestring?

There is a script which does this posted to the LLS thread. It accepts the min rule and max rule as separate strings, but it would be simple to adapt it to accept a single string with a rule range.
There's a link to ...

Reposting this:

As always, sorry for the doublepost.
I’m putting this request here because it’s not a CGoL request.

Can anyone try to find a P5 domino sparker in B34k/S23? Whether it’s a lone domino or heavyweight spark doesn’t matter; it just can’t be a delayed domino.

Try to use a program ...

Sokwe wrote: July 8th, 2024, 2:10 am

• #15 p41 dependent reflector loop: The first period-19 oscillator to be discovered. It was one of the final two periods in the proof that Life is Omniperiodic. (by Nico Brown)

Typo, should say: "period-41 oscillator"