ConwayLife.com

x = 33, y = 19, rule = B2-a5678/S014567
15bo2bo3bo4bo2b2o$16bo3b2ob2ob3o2bo$o2b3ob2o6b2obob3o3b4obo$o5b5o9b3o
3b5obo$5b7o11b4o$2bo4b5o4b2o10bo3bo$b2o3b6o17b2o$2b3obob3obo$4bo4bo3b
o4bo$o7bo2b4obo2bobo6bobo$4bo4bo3bo4bo$2b3obob3obo$b2o3b6o17b2o$2bo4b
5o4b2o10bo3bo$5b7o11b4o$o5b5o9b3o3b5obo ...

Here's a c/3 at a width of 21.
x = 7, y = 17, rule = B2-a5678/S014567
3b3o$5b2o$5bo$bob2o$bob2o$2b4o$3b2o$bob2o$o4bo$bob2o$3b2o$2b4o$bob2o$
bob2o$5bo$5b2o$3b3o!

A c/4 spaceship

x = 16, y = 8, rule = B2-a5678/S014567
3bo9bo$3bo3bo4bob2o$4b2o2bo4bo$3b3o3b2o$b3obo$2b4o$b4o$obo!


I'm gonna have ...

In the 262144 distinct life like rules, does every known speed of spaceship exist? Including unsimplified speeds (examples such as 3c/12 not being simplified to c/4).

Heyo fellows! I'm back with some decent rules I discovered, which I named due to their strange natures. I'll list them off this post as I discover more of them later.

Metroworld (B2c3aer4-eintz5ikry6e8/S2aei3aeijr4-cjk5ciqry6-ce7c8)

This rule is interesting because of how it likes to "contain ...

I have two somewhat related questions that I'd like to ask:

1. Is there a rule (non-totalistic or totalistic) with all possible spacehship speeds?

If not, the following question would be

2. What's the rule with the most number of unique spaceships? (examples would be spacehsips of speeds c/2 and ...

Here's a 12c/120 spaceship I found:
x = 94, y = 51, rule = B2cik3-iky4aiknqz5eijnr6-k78/S2k3qy4j5-jq6-in78
26bo8bo8bo8bo8bo8bo8bo$21bo2bobo6bobo6bobo6bobo6bobo6bobo6bobo6bo$21b
o2bobo4bobobo4bobobo4bobobo4bobobo4bobobo4bobobo4bobo$19bob4ob4obobob
4obobob4obobob4obobob4obobob4obobob4obobobo$19b69o ...

Here are some spaceships I discovered:
a c/3
x = 40, y = 16, rule = B3-cnqy4j5e6n7c/S2-ci3-aky4einryz6c
.......oo.....oo........................$
.....oo.....ooo.o.......................$
....oo.ooo..o...........................$
......o..ooo.oooooo..o..................$
...o......oo..o..o.oooo ...

Removing S2-a gives a cool p24 oscillator.
pretty nifty huh?

I bet the first 2c/4o will appear naturally


x = 64, y = 64, rule = B34r5c6n/S23-n5a6i8
3bo2bob2obo3bo3bo2b2o3b4o2b3o2b2ob2obo3bo2bo3bo2bob2obo$b3o4bob3obo4b
ob2o2bo2b2obo2b4obob5o3b2o3bo7bo$b3o2b2obob4obobo4bob2obo2bo3b2obo2b2o
bob4obo2bo2b5o$2bob4o3b2obo3b3obobobo3b3o2b4o8bo4b2o3bob4o ...

Sylvani wrote: January 23rd, 2026, 11:12 am Wow, thanks for the new speeds! Would you mind telling me how these were found?

Why, I used the Rust Life Search search engine, and tweaked the settings slightly to get some neat but long diagonal spaceships. I do believe other spaceship search programs are better though.

Here is a c/5 diagonal, two c/6 diagonals and a 2c/4 spaceship! I'm trying to see if I can search for more speeds right now.
x = 243, y = 99, rule = B2ce3nqy4cny5aiknq6-n8/S12n3cejry4-ejr5-nqy6-ce78
5bo38bo55bo$3bo2bo$2b2ob4o33b2obo52b2obo$b7o33b2o54b2o$3bo2bobo2bo28b
2obobobo48b2obobobo ...

Here are some spaceships, c/2, c/3, c/4 and c/5.
x = 64, y = 35, rule = B2ein3air4-ai/S23
3o13bo13bo4bo19bo$obo9b3obob3o9b2o2b2o$12b2o2bo2b2o10b4o18bo3bo$16bo36b
5o$14b5o9b10o12b2o7b2o$16bo11bo3b2o3bo10bob2o7b2obo$47bo4bo5bo4bo$29b
obo2bobo10bo2b2o7b2o2bo$27b2o8b2o10b2o9b2o$27bobo6bobo12b3o3b3o ...

beautiful art :D


Hi guys! I was inspired by the underrated character designs Ambrož made , so I've decided to make a little one of my own, here's Loaf! I'm sorry if my character design sucks right now, but I'm working on it! For now, here's a little doodle of Loaf. She's in the loaf position ...

:wink: Miscellaneous Strobing Rules

I'm going to make this post for my random discoveries in the strobing rule (B0) rulespace, btw feel free to add onto any post of mine!

Here's a random collection of spaceships (and wickstretchers!) in an explosive strobing rule. I'm looking for a c/6 diagonal ...

Here are some spaceships found in the rule:

a c/2
x = 8, y = 13, rule = B3-q5y/S234q5e
3b2o$2bo$bo3b2o$o2b2o$o6bo$6obo2$6obo$o6bo$o2b2o$bo3b2o$2bo$3b2o!


the c/3 "hat"
x = 4, y = 5, rule = B3-q5y/S234q5e
3bo$b3o$o$b3o$3bo!

a c/4
x = 13, y = 13, rule = B3-q5y/S234q5e
2bo$2o10bo$2bo4b2o2b2o ...

In one of my rules, here are some 3c/8 partials.

x = 25, y = 64, rule = B01356/S012345
6bo14bo$6b9obo4bo$3b2o3b2ob7o3bo$7obob2ob3obobobo$3b3ob2obo2b3obob3o$
7ob3o3bobo3b2o$2bo2b4o3bobob3ob2o$7ob3o3bobo3b2o$3b3ob2obo2b3obob3o$7o
bob2ob3obobobo$3b2o3b2ob7o3bo$6b9obo4bo$6bo14bo13$4o12b3o$b2o7b3o3bob ...

Lots of c/2o spaceships!

#C [[ RANDOMIZE RANDWIDTH 128 RANDHEIGHT 128 ]]
x = 0, y = 0, rule = B01e2a/S2i34t5ai
b!

Sometimes, there is a backrake, which looks like this:

x = 6, y = 13, rule = B01e2a/S2i34t5ai
4bo2$5bo2$o4bo2$o4bo2$o4bo2$5bo2$4bo!



There's a c/6 in this rule:
x = 17, y ...

x = 25, y = 25, rule = B2-a/S12
2bobo2bo2bo2bo$2bo3bobo4bo$2o2bo4bobob2o$3bo2bo2bobo5bo$obo4bo2b2o2bo
$14b2o$bobo10bob2o$o3bo11bob2o$bo17bo$2b2o14bob2o$o3bo15bob2o$2b3o9bo
3bo4bo$14bo5bo$3o10bob3o3b2obo$2bob3o4b2o3bobob2o2bo$5bo7bo7bo$6b2o5b
2o4bo2bo$3bo2bo6bo6bo$7bobobo2bo4bo$7b2o7bobobo ...

I'm not certain that the minimum width for a c/3 in AppleLife is 23, but all other widths below have no results. This is what RustLife pumped out for me, it seems to be quite the large spaceship for its speed.

x = 19, y = 23, rule = B34a5i/S23-a68
12b2o$8b3ob3o$7bob2o$7b2o4b4o$5bo2bo3bo$2b3o3bo5bo ...

B468S02357 wrote: January 4th, 2026, 2:23 am Big Pattern

The rule actually has this one cool W150 emulator: doesn't this prove omniperiodicy?

Hello there! You must be new to the forums, this pattern is actually called the "Pulsar" and has existed since it's discovery in 1970.

Putting patterns into view can be done by using the code function: (insert pattern code here) Here is the pattern you provided:
x = 13, y = 13, rule = B3/S23 ...

CARuler wrote: December 30th, 2025, 9:46 pm big helpful ruletable

thanks for that ruletable! I appreciate it :>

Absence and Duality

Hello everyone! I'm back here to post this rule I made. It's based on an idea I had in mind: Using the isotropic non-totalistic rules, could I make a rule where the B values are not present in the S values (for instance, a B2a will correspond to a S2-a). While messing around ...

My Vote Discoveries :>

Heya everyone! I'd decide to make this post about a relatively unknown rule, called "Vote". According to the wiki, Vote is also called "Majority" and has a modified sub-rule, called "Vote 4/5". I will only be talking about the Vote (B5678/S45678) rule itself though. Here ...

I can access the forums just fine, but most of the time I can’t go on wiki (can’t access database)


I second this claim. It seems to be a persistent error across all devices? I was hoping to see anyone else talk about this, I thought it was just a problem with my own connection. Not entirely ...