ConwayLife.com

A rule with strong diamonds evolving from obo sparks. It's fairly active (sometimes explosive) and has a cool c/12

x = 5, y = 5, rule = B2-ak3-ajnr4a8/S02ce3i4aint5aenr6-kn78
2bo2$o2$4bo!

A similar rule with some spaceships and a 180 degree reflector. I suspect other circuitry could be ...

In this rule, the cross is hard to break. Only a few interactions cause it to die

x = 10, y = 10, rule = B2-a3i/S01c3i4ent5r6i
2b4ob2o$bo2b2o2b2o$4b2o2bo$2bo3bob2o$bo2bo4bo$3b3o3bo$2o2bo4bo$bo6b2o$
ob5ob2o$3o2bob3o!

It has a failed puffer

x = 12, y = 14, rule = B2-a3i/S01c3i4ent5r6i
2bo5$bo$3o ...

When you run B3/S23 in a different algorithm:

Wait, not only is the Earth is rotating around the sun, but the solar system Is moving though the galaxy. The galaxy is also moving through the universe too, so it's so twisted on multiple levels. Also, the Earth is very slightly squished because of length contraction. But only from certain frames ...

A cool p16 oscillator based off of a common large still life made from an obo spark
x = 22, y = 8, rule = B2-ai3i4e/S02-an3i4eiw5er6i
20bo$19bobo$20bo3$15bo$14bobo$obo12bo!

This rule also has a large obo still life. It has a pushing reaction with a small c/2 spaceship

x = 20, y = 5, rule ...

I realized that the other challenge, of making a non-explosive rule with both B1e and B2a is impossible, since all patterns contain one of them. So here's another challenge, make a non-explosive rule (without B0) with every B2 transition. Extra points for including B3i or B3a,

Of course! To me, what you call "walls" are even more minuscule than what you perceive to be singular points. It's a shame 3D beings will never be able to see shapes such as the demiocteract or the 69 dimensional gnockerlockshlapenocoloskibidicalarizzleroytaxeract.

What happened to all the big numbers? I think we should pick up the pace a little bit. But until then,
2+√(92379)/710 ≈ 2.4280832938655843 (+0.001032310765584299)

(bump)

Find a non-explosive B2a rule where a common non-photon 3-cell spaceship and a fairly common gun exists.
Spoiler: B2a3e/S12-a3e

This rule only explodes linearly and a fairly common interaction between stretchers can create a gun

x = 10, y = 10, rule = B2a3e4iy/S1c2c3e
bob3ob3o ...

Guys, you're all wrong, the Earth is a twisted hypercylinder. In the first 3 dimensions its a sphere, but it moves through a 4th time dimension as well. I can see this because I am a 127 dimensional being.

A cool replicator that looks a bit like a replicator loop

x = 4, y = 3, rule = B34ce5e6i/S2-i3-a4i6cn8
2bo$b3o$2obo!

A similar tule were it's a dirty rake

x = 118, y = 115, rule = B34ce5e6i/S2-i3-a4i6cn
14$88bo$87b3o$60b2o25b3o$60bobo$61b2o8$38b3o$38bo2bo$37bo3bo$37b4o$38b
o11$38b2o$39bo25bo ...

This might not qualify as interesting dynamics, but awhile back I was thinking about how there are many rules where c/2 frontends move around and split, sometimes creating high period spaceships or oscillators. Such as this double barreled rake

x = 36, y = 13, rule = B35e/S2-i3-a4i6c
2bo$b3o$2obo8 ...

confocaloid wrote: May 21st, 2024, 1:47 pm Some links:
...

There's a website for simulating hyperbolic cellular automata here.

Two growing spaceships and a clean c/2 side rake

x = 59, y = 131, rule = 034/2-k/4
31.2A$30.4A$31.2B$30.C2AC2$31.2C$31.2B$31.2A2$31.2C$31.2B$31.2A2$31.
2C$31.2B$31.2A2$31.2C$31.2B$31.2A2$31.2C$31.2B$31.2A2$31.2C$31.2B$31.
2A2$31.2C$31.2B$31.2A2$31.2C$31.2B$31.2A2$31.2C$31.2B$31.2A2$31.2C$
31.2B$31 ...

Probably impossible, but I bet no one can make a stable rule containing both B1e and B2a.

A dot fractal replicator

x = 43, y = 29, rule = B3ai4ac6-i78/S03cijn4-kt678
24b4o$23bob2obo$23b5obo$22b7obo$24b7o$26b3obo$24b5o$7bo14b8o$19bo2bob
7o$11bo10bob5o$2bo2bo2bo8bo5b5o4bo2b3o$o9b2obo8b6obo2b2o2bobo$8bo2b4ob
3o2b8o2b7obo$7b12ob19obo$bo5b35o$6b37o$7b36o$o5b36o$6b33obo$7bob31o$8b
23ob4obo ...

A rule with a (12,2)2c/30 and a rare quadratic replicator

x = 181, y = 41, rule = B2in3-cnqy4e5k7/S2-i3-ay4einrtyz5cejn6cin8
163bo$162bobo$163bo8$179bo$178bobo$179bo3$169bo$bo151bo14b3o$3o149bobo
13bob2o$ob2o149bo14b3o$3o166bo$bo6$169bo$168bobo$169bo3$123bo$122b3o$
121b2ob2o$120b2o2bo$120b2o3bo2 ...

Sierpinski builder

x = 31, y = 8, rule = B2-c/S
7b2o13b2o$6bo2bo11bo2bo$5bo4bo9bo4bo$4bo6bo7bo6bo$3bo8bo5bo8bo$2bo10bo
3bo10bo$bo12bobo12bo$o29bo!

Replicator oscillators

x = 76, y = 27, rule = B2-c/S
obo7bobo$5bo$obo2bo4bobo2$54bo4bo$53bo5bo$obo15bobo$13bo$obo10bo4bobo
4$obo19bobo$17bo ...

windows

Are these oscillators known? I think they might be OMOSs

x = 180, y = 82, rule = B2cei3-eijr4ceirtw5ciqy6-e7c/S1c2-c3-aiqy4ikntw5nqr6-a
12$36bobo18bo$35b2ob2o10b2o5b5o3b5o$37bo11b2obo4bobobo3bobo2bo$35b2ob
2o10b2o5b5o3b5o$36bobo18bo10$153bo$147b7o$147bobob3o$147b7o$153bo5$
139b3o$139bobo$139b3o ...

Also how do I make patterns on these I don’t know how to post them

Copy and paste the RLE into the post, then put it inside code tags like this:

[cоde]
x = 3, y = 2, rule = B2-k/S
obo$2bo!
[/cоde]

When you post it, it should look like this:

x = 3, y = 2, rule = B2-k/S
obo$2bo!

EDIT: Some ...

p12 gun for a weird wriggly photon:
x = 26, y = 21, rule = B2-k/S
14bo5b2o$8bo$8bo11bo$bo12bo$o19bo$3bo$2bo16bo2bo6$20b2o5$24bo$25bo$22b
o$23bo!


Adding another copy create a normal photon gun

x = 66, y = 41, rule = B2-k/S
19b2o2$18bo2$64bo$65bo$62bo$29bo11bo21bo$23bobobo7bobobo7bobo3bobo ...

A puffer

x = 13, y = 12, rule = B2-k/S
$2bo$obobo$b3obo$4bobo$5bobo$6bobo$7bobo$8bobo$8bo2bo$11bo$10bo!

A stabilization of the replicator

x = 93, y = 4, rule = B2-k/S
o14bobo9bobo62bo$b2o12bobo9bobo60b2o$b2o87b2o$3bo85bo!

It could be made into a gun, but it most interactions end up exploding ...