Miscellaneous Discoveries in Other Cellular Automata

[Rhombic]

An exquisite p1144:

Code: Select all

x = 17, y = 14, rule = B3-r4arty5e6a/S2-a3-ak4aw5q6i7e
3b3o$3bo2b2o$2b2o3bo$2bob3o8bo$bo2b3o4b2o2bo$bobobo2bo3bo3bo$o3b2o7bo2bo$o3b
2o7bo2bo$bobobo2bo3bo3bo$bo2b3o4b2o2bo$2bob3o8bo$2b2o3bo$3bo2b2o$3b3o!

[b-engine]

S6k away, this particular oscillator is very common:

Code: Select all

x = 3, y = 3, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
3o$obo$2bo!

[/code]

A diagonal 6c/30 spaceship made of such oscillators:

Code: Select all

x = 28, y = 24, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
7b3o$6bo3bo$6bo2b2o$7bo8b2o$6b2o8bobo$18b2o$14b5o$3b2o10bobo$4bo$25bo
$4bo19b3o$26bo$22b3o2bo$22bo3b2o$20bo6bo$19b2obo$2o7bo10b2o$o9bo10bo$
3o$2bo$7bobo4b2o$5b2o8b2o$6b2o6b2o$14bo!

Another such example, with speed of 17c/145 orthogonal:

Code: Select all

x = 10, y = 3, rule = B2i3-jkny4qz5cy6cn8/S2aek3-aky4eiyz5jq6aik
3o4b3o$obo4bobo$2bo4bo!

[pifricted]

A spacefiller I found quite long ago:

Code: Select all

 x = 4, y = 4, rule = B37/S2345678
bo$3o$b3o$2bo!

Is this actually a linear growth?

[yyh_baboon]

Gun that makes extremely long spaceships:

Code: Select all

 x = 3, y = 3, rule = B2i3-jkny4cqz5cy6cn8/S2aek3-aky4eiyz5aikn6acen7e8
3o$obo$2bo!

[b-engine]

This failed replicator produces two 15c/214 orthogonal spaceships made of two copies of the rep:

Code: Select all

x = 3, y = 4, rule = B2i3-jkny4qz5cy6cin8/S2aek3-aky4eiyz5jq6ak
3o$obo$2bo$2bo!

[NNlk05]

Some kind of Pi Hep Dirty Failedrep Puffer Fractal-ish-but-Not-Quite Thingy in a 4INTTFL Rule:

Code: Select all

x = 3, y = 3, rule = B3-ckqy/S23
3o$obo$obo!

EDIT: Really cursed c/30o, goes backwards relative to my exceptions.

Code: Select all

x = 3, y = 3, rule = B3-ckq4jy5n/S23-cky4eknty
3o$obo$obo!

[NNlk05]

B3-cenq4ikntwz5aijkr6a7/S2-i3-acky4ikwz5nr6cek7c had a T ship, an R (14, 2)c/46, and a p132 OMOS.

Code: Select all

x = 106, y = 49, rule = B3-cenq4ikntwz5aijkr6a7/S2-i3-acky4ikwz5nr6cek7c
3o7b2o15bo12b4obobo3b4o3b2obo5bo3b4obo2b5ob2o5bo3b5obob2o$bo7b2o15b3o
11b3o2b4o2bob2o2b2obob4o2b2ob3o7bob2o2bo2bobo2bo2b3ob4o$10bo15bo15bob
o3bob3ob4o2bob2o3bo6b2o2bobobo2b4obo2bo2bobo4bobo$41bob2ob13o3bo2b2o4b
obo3b2ob2obo2b2o2b2o2b4ob2o$43b3obo3b3o2bo6b3ob2ob4obo4bo2bobo2b2o4b5o
2bo2b2o$40b2o5b2obo2bobo2bobob3obo3bob2o3bob2obo2bobo2b6o2b2ob3obo$41b
ob2obob4o6b2o4b6obo5bobo4b3ob2ob2o4b2obobob2o$41b2o2bo3bo3bo2b2ob4obo
b3o2bobo2b3o3bo2b4ob2o2bobob3obobo$41b3obo2bob3o2b3o2bob2o2bo2b2o4bob
o2b2o10b4o4bobo$29bo13bo2b2o4bobo2b4obo2b2ob2obobo2bob2obob2obobo2bob
2o2bo4bo2bo$28b3o11b5o3b3obo3bo2bo4b4ob6o2bob4o2bob5o2b2ob2o$28b3o10b
o2bo4b4o7b3o3b2obob2o4bob4o2bob2o2b2ob4o2bobo2bo$46bobo2bo2bob3o2b2ob
obo2bob4o2bo3bob2o3bob2obo2b2obobo2b2o$40bo2bobob4ob2obobobob2o3b2obo
2bo2b2obo2bobob3o2bob2obo6b4o$41b2o3bobobob3o2b2o4bo2bo3b2o2b2obobo3b
o3bo4b2ob2obo3b3o$41bob2obob5o5b2ob2o2bo3b5obobo4bobo4bo2bo3bo3b3o2bo
$41b2ob3o2bobo8b3o2b5ob2ob2obo3bob5o2b4o4b6obo$40bo2b2o3bo2b4ob2obob2o
3bobo3bo2bobob2o3b2o7bo2b3obob4o$40b2o2bobobo2bo2b8o3bo3b2o4b10o3bob2o
2b2o5bobobo$40bob2ob2o3b2o3bo2bobo5b4ob2o2b5o3b4o3b6obo2b5o$40bo2bo2b
2ob2obob3ob6obob3obo2b2o4b3o2bo3bobob2ob2o2bobob2o$43b3ob2o2b2o3b2obo
b2ob6obob6ob4ob3o2bo5bob4o2b2o$40bo2bobobo2b3obo2bo2b4obo2b2o2bobo2b3o
3bo4b3o3b5obo2bobo$41bobob2obobobob3obobo2bo2bob9o5bo4b3obo3b2obo3bob
2o$40b2o2bo2bo4bobo2b4o2bobobob6ob2o3bo2bo3b2o2bo2bobobob4o$40bobo2b2o
2bobo3b2ob2obo3b2o2bob2o4b2o4b2o3bobo2bob4ob6o$42b3o2bob3o2bob3o3bobo
b3o3b4obo2bo2b3ob2ob7o2b2obo2bo$40b3obo3bobobo2bob3ob2ob3o2b7ob3o3bob
o6bob2o3bo2bo$40bo2bo5b4ob2ob6o3b2o5bobobob2obo7bo2bo2b2o2bobobo$43bo
2bobobo4b6o2bobo4b5obo3bobo2bobob3o2b7o3b2o$40bobobo2b4obo9bo2b3obo2b
3o5b2ob3o2bob2obo2b2o2bobo$40b6o2bob2o3bo2b3ob3o3b3obobo2b2o3b2obo2bo
bob4o4b6o$40bob4o2b4ob2o3b3ob10o5bob4o3bobo2b3ob2obo4b2o$40b4o2bob6ob
2o2b2o2bo2b3obo3b3o2bo4bo2bobo3b4obo6bo$42bob2ob2ob2o3b2obob2o2b2ob2o
b3o5bo3b2obobob2obo3bo2bobob2o$40b5ob3obo5b4o2b2obobobo2bo3bo4bobobo3b
o3b3o2bobobo2bo$40bo2bo4b2o2bobobo3bo2bo3b2obob2ob2o3bo3b2o4b3ob2o2bo
b2ob2o$43bo2bobo2b2ob2o2b4ob2o3b4o2bob2o4b3ob3obo2b2obo4b2obo$40bo3bo
2b2o5bobobo3bo2bobobobob3o4bo4b2o5bobo2b2o$40b4o3b5ob5o2b2o4b3ob3o2b3o
b5obo3bobobob3o2b3obo$40b2obo2b2o2b8o3b2o2bob3obobo2bobobobobobobo2bo
b3ob2obob3o$40b8obo2b8obo3bob2obobo6b7o5b5o2b3o2bo$41b3o3b3obo3b2o2bo
3b2o2bobo2bo2b2o2b3obobo2bobo4bob4o2b2o$43b2o2bo2b2o3bo4bo2b3o3b2o2bo
bobobobobobo2b4ob4o2b3o2bo$41bob3obobobo2b6o3b2obobo3bobo3bob3o2b4ob2o
2bob3ob4obo$41b3obo3b7ob3ob2ob2obo2bo2b2obob3ob5obo2bobobobob3o2b2o$41b
2obob2obo3bobo2b2o4b3o2b2obob2obo2bobo2b2ob2o2bo4bobo3b3o$41bobob3obo
6b4o2b6obo2bo5bobobob3o3bo3b4ob4o$41bob4o2bo4b2o8b5ob2ob2obob2ob3ob2o
4bobob4o3b2obo!

[The-Patternfinder]

I discovered a rule where tubs and 10c/20 orthogonal spaceships can eat each other. Sweet Revenge in one rule.

Code: Select all

 x = 19, y = 17, rule = B3-ck/S2-i3-a
15bo$3bo10bobo$2bobo10bo$3bo6$2b3o10b3o$bo2bo9bo2bo$bo3bo8bo3bo$2o2bo
8b2o2bo$2bo12bo$3bo12bo$3b3o10b3o$3b3o10b3o!

[Docsy]

A spacefiller I found quite long ago:

Code: Select all

 x = 4, y = 4, rule = B37/S2345678
bo$3o$b3o$2bo!

Is this actually a linear growth?

It is, yeah. While the wiki still refers to spacefillers as quadratic growths, they don't actually have to be, it's just an easy form for them to take.

[silversmith]

The recent posts by ThePlayzr and Wildmyron reminded me of a rule I posted in the discord, but I hadn't posted it here. It's a rule with signal which travel along a lightspeed wire, along with a signal splitter, crossover, reflectors, and eaters.

Code: Select all

x = 49, y = 35, rule = B2cek3cek4eikqrty5eiry6ac8/S2-e3-aknq4-cjnqw5aenr6e8
41bo3bo$42b3obo$24bo3bo3bo10bo$17bo6b9o12b2o$17b2o5bo3bo3bo12bo$17bo
10bo$bo15bo10bo$18o10bo12bo5bo$4bo12bo10bo11b9o$4bo12bo10bo12bo5bo$4bo
12bo10bo12bo5bo$4bo11bobo9bo12bo5bo$4bo23bo12bo5bo$4bo12bo10bo12bo5bo$
4bo12bo10bo8bo3bo5bo$4bo12bo9b9o2b11o$4bo12bo10bo8bo3bo5bo$4bo12bo23bo
$4bo12bo23bo$4bo12bo23bo$4bo11bobo22bo$4bo12bo23bo$4b38o$4bo12bo14bo8b
o$4bo12bo14bo8bo$4bo12bo14bo8bo$4bo12bo14bo8bo$4bo3bo8bo14bo8bo$3b7o7b
o14bo8bo$4bo3bo8bo14bo8bo$4bo8b20o8bo$3b3o8bo17bo4b9o$32bo5bo5bo$32b2o
$32bo!

[PHPBB12345]

The recent posts by ThePlayzr and Wildmyron reminded me of a rule I posted in the discord, but I hadn't posted it here. It's a rule with signal which travel along a lightspeed wire, along with a signal splitter, crossover, reflectors, and eaters.

Code: Select all

x = 49, y = 35, rule = B2cek3cek4eikqrty5eiry6ac8/S2-e3-aknq4-cjnqw5aenr6e8
41bo3bo$42b3obo$24bo3bo3bo10bo$17bo6b9o12b2o$17b2o5bo3bo3bo12bo$17bo
10bo$bo15bo10bo$18o10bo12bo5bo$4bo12bo10bo11b9o$4bo12bo10bo12bo5bo$4bo
12bo10bo12bo5bo$4bo11bobo9bo12bo5bo$4bo23bo12bo5bo$4bo12bo10bo12bo5bo$
4bo12bo10bo8bo3bo5bo$4bo12bo9b9o2b11o$4bo12bo10bo8bo3bo5bo$4bo12bo23bo
$4bo12bo23bo$4bo12bo23bo$4bo11bobo22bo$4bo12bo23bo$4b38o$4bo12bo14bo8b
o$4bo12bo14bo8bo$4bo12bo14bo8bo$4bo12bo14bo8bo$4bo3bo8bo14bo8bo$3b7o7b
o14bo8bo$4bo3bo8bo14bo8bo$4bo8b20o8bo$3b3o8bo17bo4b9o$32bo5bo5bo$32b2o
$32bo!

What is logic gate?

[silversmith]

The only gate I built in is the ANDNOT reaction demonstrated on the right intersection, where two signals cancel each other out.

[NNlk05]

The only gate I built in is the ANDNOT reaction demonstrated on the right intersection, where two signals cancel each other out.

Very interesting rule!
NAND should allow TC. Anyone care to make an W110 unit cell? I can do it as soon as I am off mobile.

[yyh_baboon]

Well… what

Code: Select all

 x = 3, y = 3, rule = B2i3aeiqr4qz5cy6cn/S2aek3-aky4eiyz5ajkn6ain8
3o$obo$2bo!

Wow.

Code: Select all

 x = 3, y = 3, rule = B2i3aeiqr4qz5cy6cin/S2aek3-aky4eiyz5ajkn6akn7e
3o$obo$2bo!

[PHPBB12345]

The only gate I built in is the ANDNOT reaction demonstrated on the right intersection, where two signals cancel each other out.

Very interesting rule!
NAND should allow TC. Anyone care to make an W110 unit cell? I can do it as soon as I am off mobile.

A NAND B = 1 ANDNOT (A ANDNOT (A ANDNOT B))

[silversmith]

A few days ago, Docsy asked

does anyone know of a pattern that escapes into infinity by growing in a spiral pattern, but leaves no trace?

After a few hours of rulegolfing, I found the following solution:

Code: Select all

x = 4, y = 8, rule = B2-ai3acr4aej5inq6ak/S12ik3kny4jtHistory
.A.A$2.A$2.A$2.A$.3A$A$A$.A!

After this, I realized there was a simpler frontend-drifter-backend set which could work better, which led to more discoveries, such as two tighter spiral tracers

Code: Select all

x = 3, y = 14, rule = B2cen3cjk4ijz5qy6-in8/S1c2-cn3-acqy4acekqz5ajnr6ac8
obo$3o$obo$obo$obo$o$o$o$o$o$o$o$o$bo!

Code: Select all

x = 3, y = 17, rule = B2cen3jk4ij5y6ack8/S1c2-cn3-ackq4aqz5jnr6aHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!

A growing squarewave tracer:

Code: Select all

# growing squarewave graph
x = 3, y = 17, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7cHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!

A strange oscillator whose poulation graph resembles a sine wave.

Code: Select all

x = 17, y = 3, rule = B2-ak3jk4ijz5y6ack7c8/S1c2-c3-akq4aeqwz5ajnr6ak7c
b16o$o14bo$12b5o!

And finally, an adjustable RRO:

Code: Select all

x = 48, y = 50, rule = B2-ak3cjk4ijq5cy6ack7c8/S1c2-c3-ackq4akqz5jnry6aHistory
.A$.2A35.A$.A8.2A25.A.A$.A.9A25.A.A$.A.A33.A.A$.A.A33.A$.A.A33.A$.A.A
33.A$.A.A33.A$.A.A33.A$.A.A33.A$.A.A11.2A20.A$.A.A9.3A21.A$.A.A11.2A
20.A$2.A9.2A13.A.A7.A$12.2A13.3A7.A$13.A13.A.A7.A$13.A13.A.A7.A$13.A
13.A.A7.A$13.A13.A.A7.A$13.A13.A9.A$11.A.A13.A9.A$11.A.A13.A9.A$11.A.A
13.A10.A$11.A.A13.A$11.3A13.2A$11.A.A13.2A$24.2A$25.3A$24.2A5$.A.A$.3A
$2.A$2.A.23A$4.2A19.A$11.16A8$48A$2A44.A$43.5A!

[rabbit]

A growing squarewave tracer:

Code: Select all

# growing squarewave graph
x = 3, y = 17, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7cHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!

Interesting p68 in this rule:

Code: Select all

x = 13, y = 13, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
o3bo$5o7$6b2o3b2o$7bo3bo$6b2o3bo$8bo2bo$11b2o!

EDIT: Interesting highly sparky 10c/20 from Catagolue:

Code: Select all

x = 8, y = 8, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
3bo$2bobo$2bobo$bobobo$5bo$bo3b2o$2o5bo$5b2o!

[1and0nlycordershippr]

My discovery:
B2a enables lightspeed propulsion.
As a simple example:

Code: Select all

x = 2, y = 1, rule = B2a/S
2o!

And B2e enables c/2d propulsion.

Code: Select all

x = 2, y = 2, rule = B2ae/S
2o$2o!

[1and0nlycordershippr]

A growing squarewave tracer:

Code: Select all

# growing squarewave graph
x = 3, y = 17, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7cHistory
A.A$3A$A.A$A.A$A.A$A$A$A$A$A$A$A$A$A$A$A$.A!

Interesting p68 in this rule:

Code: Select all

x = 13, y = 13, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
o3bo$5o7$6b2o3b2o$7bo3bo$6b2o3bo$8bo2bo$11b2o!

EDIT: Interesting highly sparky 10c/20 from Catagolue:

Code: Select all

x = 8, y = 8, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
3bo$2bobo$2bobo$bobobo$5bo$bo3b2o$2o5bo$5b2o!

Two 10c/20s make a breeder:

Code: Select all

x = 23, y = 10, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
3bo$2bobo$2bobo14bo$bobobo12bobo$5bo12bobo$bo3b2o10bobobo$2o5bo9bo$5b
2o9b2o3bo$15bo5b2o$16b2o!

Clean rake:

Code: Select all

x = 39, y = 266, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
7bo$6bobo17bo$6bobo16bobo$5bobobo15bobo$9bo14bobobo$5bo3b2o13bo$4b2o5b
o11b2o3bo$9b2o11bo5b2o$23b2o175$3bo$2bobo$2bobo$bobobo$5bo$bo3b2o$2o5b
o$5b2o68$35bo$34bobo$34bobo$33bobobo$33bo$32b2o3bo$31bo5b2o$32b2o!

Another breeder:

Code: Select all

x = 40, y = 266, rule = B2-ak3jk4ijz5y6ack8/S1c2-c3-akq4aeqz5nr6ae7c
8bo$7bobo17bo$7bobo16bobo$6bobobo15bobo$10bo14bobobo$6bo3b2o13bo$5b2o
5bo11b2o3bo$10b2o11bo5b2o$24b2o176$3bo$2bobo$2bobo$bobobo$5bo$bo3b2o$
2o5bo$5b2o67$36bo$35bobo$35bobo$34bobobo$34bo$33b2o3bo$32bo5b2o$33b2o
!

[NNlk05]

This rule is... doing something I guess.

Code: Select all

x = 64, y = 64, rule = B2-a3-ai4-a5-a678/S123-ey5-i6-a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

EDIT:
What the...

Code: Select all

x = 3, y = 2, rule = B2-a3-ai4-a5-a678/S123-ey5-i678
3o$bo! 
[[ MAXGRIDSIZE 14 ]]

The popplot is causing me a headache :face_with_spiral_eyes:

[1and0nlycordershippr]

This rule is... doing something I guess.

Code: Select all

x = 64, y = 64, rule = B2-a3-ai4-a5-a678/S123-ey5-i6-a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

The inside looks like a B2a rule.

[NNlk05]

This rule is... doing something I guess.

Code: Select all

x = 64, y = 64, rule = B2-a3-ai4-a5-a678/S123-ey5-i6-a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

The inside looks like a B2a rule.

Yep. I wonder what rule it is...
Ah. B2a3i45ey8/S3a4a5ai6a78.

Code: Select all

x = 64, y = 64, rule = B2a3i45ey8/S3a4a5ai6a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

B2a3i45ey8/S3a4a5ai6a78 is also semi-intresting in its own right. It seems like its emulating a 2x2 block CA (not exactly but close)...

Code: Select all

x = 2, y = 2, rule = B2a3i45ey8/S3a4a5ai6a78
2o$2o!

[1and0nlycordershippr]

This rule is... doing something I guess.

Code: Select all

x = 64, y = 64, rule = B2-a3-ai4-a5-a678/S123-ey5-i6-a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

The inside looks like a B2a rule.

Yep. I wonder what rule it is...
Ah. B2a3i45ey8/S3a4a5ai6a78.

Code: Select all

x = 64, y = 64, rule = B2a3i45ey8/S3a4a5ai6a78
!
[[ RANDOMIZE AUTOSTART RANDSEED 1970 ]]

B2a3i45ey8/S3a4a5ai6a78 is also semi-intresting in its own right. It seems like its emulating a 2x2 block CA (not exactly but close)...

Code: Select all

x = 2, y = 2, rule = B2a3i45ey8/S3a4a5ai6a78
2o$2o!

Whatever these are:

Code: Select all

x = 83, y = 41, rule = B2a3i45ey8/S3a4a5ai6a78
33b2ob2o2$b3o29b2ob2o2$2bo31b3o2$13b5o16b3o2$13bo3bo15b5o2$b3o9b5o15b
5o2$2bo4$32b2o2$b3o9b5o14b2ob2o2$2bo32b2o2$14bobo16b3o4$b3o9b5o14b5o2$
2bo75b5o2$13b2ob2o14b6o2$15bo17b4o2$b3o11bo2$b3o11bo19bo2$5o10bo16b6o
8bo2$5o8b2ob2o13b5ob2o6b3o!

This rule has spaceships.

[NNlk05]

Some kind of weird dirty rep that forms rakes and make more reps

Code: Select all

x = 3, y = 2, rule = B2-a3ai/S1c2
bo$obo!

EDIT: Adding B8 turns it into a gun (Min = B2-a3ai8/S1c2, Max = B2-a3ai6n8/S1c2, 2^1 = 2 rules):

Code: Select all

x = 3, y = 2, rule = B2-a3ai8/S1c2
bo$obo!

EDIT2:
S8 makes it a 106 gen spark:

Code: Select all

x = 3, y = 2, rule = B2-a3ai/S1c28
bo$obo!

B8/S8 makes it a sparky p76 (Min = B2-a3ai8/S1c28, Max = B2-a3ai6n7c8/S1c28, 2^2 = 4 rules):

Code: Select all

x = 3, y = 2, rule = B2-a3ai8/S1c28
bo$obo!

Can someone apgsearch any one of these rules (or better, some/all of them)?

[I6_I6]

Natural p4 and c/8d that work in all of those rules:

Code: Select all

x = 10, y = 4, rule = B2-a3ai8/S1c2
bo5b2o$o5bo$bo5bobo$o5bo!