ConwayLife.com

I had a half-baked idea regarding measuring the frequency of evolutionary sequences.

The measuring process goes as follows:

Take all n-ominoes and n-plets with a certain number of cells
See how many eventually evolve into the sequence of interest
Divide the number of n-ominoes and n-plets ...

And to the answer the question "How do we welcome newcomers without discouraging them?" welcome them to the server, answer there question/tell them what they found and then if they broke a rule just tell them so they can fix it next time. They will learn with time what is worthy of a forum post ...

A dedicated thread for sharing/discussing technology and engineered patterns across OCA, such as reflectors, logic gates, syntheses, and conduits.

To start:

This variant of 3-4 Life, only 2 transitions away from being OT, has a pretty common c/5d spaceship.
x = 3, y = 3, rule = B34/S34-ae
2o$obo ...

This variant of 3-4 Life, only 2 transitions away from being OT, has a pretty common c/5d spaceship.
x = 3, y = 3, rule = B34/S34-ae
2o$obo$3o!


Four interesting collisions.
x = 52, y = 38, rule = B34/S34-ae
31bo$31bo$29b4o$3bo10b2o15bo$2bob2o8bobo$3b2o9b3o$3bo4$39b3o$39bobo$39b
2o13$b2o31bo ...

I'll try to use LLS to find configurations of still lifes that pis can climb up.

One problem I'm having with the existence of a pi ship, though, is that there's inevitably going to be some topmost pi-heptominoes that can't be supported by normal wave stabilization (adding more stabilization above ...

Not sure if this is known, but here some beacon/carrier action:

x = 418, y = 227, rule = LifeHistory
5$5.B$5.B.B$5.2B2$8.2C$8.C2.C37.2C$10.2C37.2C3$5.B$5.B.B$5.2B$396.2C$
8.2C386.2C$8.C2.C37.2C343.2C$10.2C37.2C343.2C3$5.B394.B$5.B.B390.B.B$
5.2B392.2B$49.B346.2C$8.2C386.2C$8.C2.C37.2C343.2C$10 ...

Period-640 C/4d gun
x = 818, y = 616, rule = R2,C2,S4,6-9,20,B7-9,18
661bo$660b3o$659bo3bo$659bo3bo$659b2o2bo$485bo133bo39b2o2bo$484b3o131b
3o38bo$483bo3bo129bo3bo37b5o$483bo3bo129bo3bo$483bo2b2o129bo2b2o39bo$
483bo2b2o39bo89bo2b2o$487bo38b3o92bo$483b5o37bo3bo87b5o$525bo3bo155b4o ...

What ChatGPT output when I asked it to “generate an image of the smallest known spaceships for each speed in Conway’s Game of Life”:

ACCA6D49-BCC4-4492-AF91-65F4F7C11B20.png



I tried making the "Gosper Glider Gun" c/18 spaceship and it actually works.
x = 41, y = 19, rule = B3/S23
25b2o ...

This still life is holding a spaceship hostage

A simple gun is a gun that just uses multiple copies of oscillators and other stable patterns to create the necessary reactions. (example: Maximum volatility gun )

A complex gun, on the other hand, uses more niche technology, like conduits and over-unity reactions, to influence the reactions in the ...

Wait hold on what is this weird natural ship?
Nevermind, I lost it. it was a small head that grew on one side and grew to I think a little more than 100 cells wide, and then stopped. it was very very large and natural.
It looked something like this:




This looks a lot like what you're ...

Not in Castles , but I have been looking at some close rules.

B3678/S135-a678

x = 0, y = 0, rule = B3678/S135-a678
!
#C [[ RANDOMIZE ]]

In this rule, castles don't really form unless there's already a sufficiently dense soup, and even then there's little to no growth.

I was able to search a ...

Rule with an absurd amount of wickstretchers.

Turns out CAViewer is technically capable of completing catalysts partials as well. Here's one that turns a tridecamino into a block.
x = 24, y = 27, rule = R2,C2,S4,6-9,20,B7-9,18
7b4o$7bo2bo$7b4o17$3o$3o$3o$3o$o19bo$18b2o2b2o$18b2o2bo$19b3obo!


From here I'll probably cool down with the ...

I6_I6 wrote: August 23rd, 2026, 8:04 am Finished breeder:

Code: Select all

2026 OCA DIscovery of the Year?

I think this rule deserves a thread, really cool rule.
Ima run apgsearch for c1 all night and see what if it finds anything new.
x = 12, y = 5, rule = r2b0201c0s0801e8
bo5bo2bo$o8bo$b10o$2bo8bo$bo2bo5bo!


I'm glad you like it. This is the rule I've been focused on over the past couple of weeks ...

x = 180, y = 93, rule = R2,C2,S4,6-9,20,B7-9,18
78b3o5b3o$78b3o5b3o$78b3o5b3o$86b3o$87bo5$85b2o$84bo2bo$84b4o$85b2o38$
29b3o$29b3o$29b3o$29b3o$4b3o23bo$4b3o$4b3o$4b3o$5bo$28b2o$27bo2bo$27b
4o$28b2o$4o$o2bo$4o56b3o$60b3o$60b3o$60b3o21b3o$61bo22b3o$84b3o90b3o$
84b3o90b3o$85bo91b3o$177b3o$53b4o121bo ...

Looking for a c/3d reflector using the period-50 oscillator, here's an interesting reaction.
x = 25, y = 38, rule = R2,C2,S4,6-9,20,B7-9,18
2$13bo$13bobo$13b2o$13b2o2$8b4o$10b2o2bo$9bo16$18b2o$17b4o$16b2o2bo$16b
2o2bo$17b3o!


Using a reflector, one could maybe construct a pseudo-period 50 gun ...

We should have a disambiguation for "pseudo", there are a lot of terms using that prefix. Pseudo-period, pseudo-barberpole, Pseudo Life...

Yes: 4c/8, 180c/360, and 5c/20d, respectively, found using apgsearch:
x = 73, y = 43, rule = 2-a3-aei4-aceik/2-a3-ak45/4
2.3A$2.ACA33.A29.B$.BA.AB31.ABA27.C3A$A.2BA31.2A.2A26.BAC2A$CA.BA30.
2ACAC2A24.2A3C2A$B.BA31.ACACAC2A24.2BCACA$.CB30.4AB.CACA24.C.AB2A$33.
AC2A2C.B4A$32.3ABA2CB3ACA$31.CB.A ...

To start, I would like to request a gosperization for this oscillator:


x = 20, y = 4, rule = B3-ry4acenqt5eir6-ek/S2-a3-a4nq5aeknr6-ak
2o2b2o2b4o2b2o2b2o$bo3bo8bo3bo$bo3bo8bo3bo$2o2b2o2b4o2b2o2b2o!



The gunnability of this... I wouldn't say impossible, but certainly pretty tight. For such a ...

How does one use LLS to search for syntheses? Any predecessors just directly inputting the spaceship into the program are just as complicated if not more than the spaceship itself. i.e. what parameters do I need to set for LLS to spit out reasonably still-lifey predecessors?


I've never done ...

Oscillator? I hardly know her!

3x3 font???

# HOW IS THAT A G????
x = 97, y = 3, rule = B3/S23
bo2bo3b2ob2o2b3ob3ob2o2bobob3o3bobobobo2b3o2bo3bo2b2o3bo2b2o3b2ob3obob
obobobobobobob2o$3ob2obo3bobob2o2b2o2bobob3o2bo2bobob2o2bo2b3obobobobo
b3obobob3o2bo3bo2bobobobob3o2bo3bo$obob2o2b2ob2o2b3obo4b2obobob3o2bo2b ...