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yaochen2

Just wondering, but how do i use CATforce to find oscillators, including symmetric ones? It's too confusing for me. Also how do you use LLS to find catalysts?

yaochen2

Another SMOS with 3 different spaceships

14c/296 diagonal

Code: Select all

x = 4, y = 4, rule = B2e3-kqr4ryz5cejkr6cen7e/S2-n3eiy4-aikrty5aeikn6aen
3bo$bobo$2bo$2o!

yaochen2

Some 5tfl glider SMOSes that are quite beautiful to watch

3c/450d
x = 13, y = 13, rule = B2n35y7c/S234t5r
o$b2o$2o8$11bo$10b2o$10bobo!

34c/341o
x = 18, y = 3, rule = B34t/S2-n3-a4ae
obo12bobo$b2o12b2o$bo14bo!

By sheer coincidence, this rule also has a natural glider gun which is just a b ...

yaochen2

Here are some more counterfeit gliders found using EPE

12c/2570 orthogonal
x = 3, y = 3, rule = B2ein3ijnqr4acek5ajkr6eik7/S1c2ace3air4cz5eiqry6ck7c
obo$b2o$bo!

10c/1660 orthogonal
x = 3, y = 3, rule = B2ein3ijnqr4acek5ajkr6eik7c8/S1c2ace3air4cez5eiqr6-ai7c8
obo$b2o$bo!

p1576 oscillator ...

yaochen2

2) Do n-recipe SMOSes exist for n > 2?

Universal constructors can be used to create a SMOS with any number of recipies. How it works is that you start with a glider salvo, have it create a turing machine, then have the turing machine increment a certain counter in the glider recipe, then ...

yaochen2

Can someone add the ability to search for agars and the ability to set a minimum density for the pattern?

yaochen2

More alien looking 3c/9, c/7, and c/8 spaceships in b2c3-is23

x = 183, y = 167, rule = B2c3-i/S23
90bo$86b2obobob2o25b5o$85b2o7b2o24b5o21bo3bo$84b2o2b2ob2o2b2o49bo3bo
22b5o$84bo11bo19b2o2b2ob2o2b2o16bo5bo21b5o$84bob2o2bo2b2obo19bo3b2ob2o
3bo13b2o2b2ob2o2b2o ...

yaochen2

What is the maximum width for a 2c/7 spaceship search that has been done for each symmetry?

yaochen2

Here are the final two steps for the alien p2 glider synthesis
x = 202, y = 93, rule = B38/S23
6bo$4bobo35bo$5b2o36bo$41b3o$91bo$90bo$90b3o19$58bo$41bobo13bo$42b2o
13b3o$42bo122bo$164bo9bo$164b3o6bo$173b3o$38b2o$27bo10bobo$25bobo6bo4b
o16b3o132b2o$26b2o6bo156b2o$34bo$157b2o$59b2o96b2o7b2o ...

yaochen2

Rules with two SMOSes which are made of the same spaceship colliding in different directions

3c/168d and 3c/82o
x = 19, y = 20, rule = 12i3jk4aeknqrt5cjq6acn/2cek4aijw5ijkry6-en/3
6.B$5.A$6.2A3$.A$B.A$2.A4$18.A$16.B.A$17.A4$17.A$16.B.A$18.A!

c/73d and 11c/162o
x = 19, y = 20, rule ...

yaochen2

c/6o in B37/S125

Code: Select all

x = 13, y = 22, rule = B37/S125
3b3ob3o$4obobob4o$o3b2ob2o3bo$b4o3b4o$2b2o5b2o$4bo3bo$4b2ob2o$3bo5bo2$
4b2ob2o2$2bo7bo$2bo2bobo2bo$5bobo$5b3o$4b2ob2o$2bo7bo$4bobobo$6bo$5bo
bo2$3bobobobo!

yaochen2

Resu wrote: October 2nd, 2025, 1:50 am
yaochen2 wrote: October 2nd, 2025, 1:22 am Here's one 2 transitions in life in a rule I call "LineLife" which I made using a p30 moving spaceship.
Aren't all spaceships moving spaceships?

I meant to say growing spaceships.

yaochen2

Here's one 2 transitions in life in a rule I call "LineLife" which I made using a p30 moving spaceship.

x = 220, y = 38, rule = B2c3-i/S23
bo8bo$4o4b4o3bob2o4b2obo2b2o8b2o3bo8bo$o3bo2bo3bo3bo2bo4bo2bo2bob2o4b
2obo3b3o4b3o$bo2bo2bo2bo5b2obo2bob2o3bo3bo2bo3bo2bo3bo2bo3bo4b3o6b3o4b
o23bo ...

yaochen2

SMOSMOS in a generations rule:

6c/184
x = 20, y = 7, rule = 1c2-i3ac4r5-ejn6kn/2eik3-eknq4cknrtwy5cenr6-ai7c/3
4.A.A6.A.A$4.ABA6.ABA$5.A8.A2$2A16.2A$.BA14.AB$2A16.2A!

3c/161
x = 18, y = 6, rule = 1c2-i3aci4r5-ajn6aik7e/2eik3-eknq4cknrtwy5cenr6ak7c/3
3.A.A6.A.A$3.ABA6.ABA$4.A8.A$2A14.2A$.BA12 ...

yaochen2

Some more orthogonal ones in generations rules with interesting dynamics.

39c/976 which creates many copies of itself through a reaction
x = 12, y = 14, rule = 12e3ej4ejkntwy5-nq6ikn7c/2-ai3cr4aitw5eknr6ekn7e/3
4$5.B$6.A$4.2A4$4.2A$6.A$5.B!

6c/848 failedrep that alternates between creating and ...

yaochen2

Period 13528 RRO from a rulespace rich in high period spaceships with loopability 3

x = 524, y = 276, rule = B2in3-ekn4ckqtz5ekr6ci8/S2aek3-ae4ceiyz5-jqy6ac7e
463bo2$461bob2o$462bo$460bo2bo$461b3o$461bobo$461bo3$461b2o$459b2o$
458bo2b2o$457bobo2bo$458bo2bo$459bobo$460bo3$459b3o$459bobo8bobo$459bo ...

yaochen2

I think I have found a SMOS which has 3 different spaceships.
x = 7, y = 7, rule = B2cek3-cjk4cjkq5ijn6i7e8/S1c2-an3q4aqt5ejn6ei
o$obo$o2$5bo2$4b3o!

x = 18, y = 18, rule = B2cek3-cjk4cjkq5ijn6i7e8/S1c2-an3q4aqt5ejn6ei
2o$bo$2o14$15b3o$15bobo!

x = 8, y = 8, rule = B2cek3-cjk4cjkq5ijn6i7e8/S1c2 ...

yaochen2

Crazy p1372 RROMOS

Code: Select all

x = 9, y = 4, rule = B2e3-cjqr4eiknqwz5cijkn6ak7e/S01c2-ck3cjkny4acijqwy5iknr6ckn7c8
8bo$2o4bo$bo6bo$2o!

Crazier p1516 RROMOS

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x = 11, y = 4, rule = B2e3-cjnr4-acjk5-aeny6-ck7c8/S01c2aen3jkny4aiw5-aeqy6-n7e8
8b2o$2o8bo$bo6b2o$2o!

yaochen2

Basically, I tried to apgsearch a rule called AquaLife where dead cells become State 2 permanently if they have 8 live neighbors. That way, any oscillators or guns that work in AquaLife also work in StateInvestigator.

Could the cells that are replaced be replaced to search for other ...

yaochen2

4c/46 spaceship. B0 rules are underexplored compared to other life like rules.

Code: Select all

x = 6, y = 5, rule = B01357/S02
2o2b2o$2o2b2o2$o4bo$o4bo!

yaochen2

A SMOS' recipe is the multiset of spaceships that make it up in its MOS phase, strictly defined as a phase with suitably separated spaceships and no other debris. Two recipes are different if they have different quantities (4 vs 7 gliders) or different types of spaceship.

A two-recipe SMOS has ...

yaochen2

I think I found the first SMOS in a B0 INT rule.

5c/50d
x = 8, y = 8, rule = B012k3-qr4cqrtz5ij6-ei7c/S23-n4acijkry5ry6i
o$bo$bo$o3$5b2o$4bo2bo!

2c/194d
x = 7, y = 7, rule = B012ik3-q4cjknqyz5ijqry67c/S23-nqr4ac
o$bo$bo$o2$4b2o$3bo2bo!

p416 OMOS
x = 21, y = 21, rule = B012k3-r4ry5kr6-n7c ...

yaochen2

Basically, I tried to apgsearch a rule called AquaLife where dead cells become State 2 permanently if they have 8 live neighbors. That way, any oscillators or guns that work in AquaLife also work in StateInvestigator.

@RULE AquaLife
@TABLE
n_states:3
n_states:3
neighborhood:Moore
symmetries ...

yaochen2

Glider guns

Code: Select all

x = 25, y = 11, rule = StateInvestigator
.2A19.2A$8.3A3.3A$3A5.A.A3.A.A5.3A$.A6.A.A3.A.A6.A4$10.B3.B3$2.B19.B!

Code: Select all

x = 17, y = 19, rule = StateInvestigator
8.B$B15.B6$8.B$4.A.B3.B.A$4.B3.B3.B$4.A.B3.B.A$8.B6$B15.B$8.B!

yaochen2

Several years ago, someone created a rule where gray cells appear naturally https://conwaylife.com/forums/viewtopic.php?f=11&t=2030 and I decided to apgsearch it out of curiosity. It turns out that there are a lot of high period natural oscilators.

Here are some highlights:

A twin bee shuttle that ...

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Search found 52 matches

Re: Thread for your script-related questions

Re: Spaceships made up of other spaceships (SMOS)

Re: Spaceships made up of other spaceships (SMOS)

Re: Counterfeit Gliders

Re: Spaceships made up of other spaceships (SMOS)

Re: Logic Life Search (LLS)

Re: Rules 2 transitions from Life

Re: B38/S23

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Spaceships made up of other spaceships (SMOS)

Re: Spaceships in Life-like cellular automata

Re: One-cell growth per generation

Re: One-cell growth per generation

Re: Spaceships made up of other spaceships (SMOS)

Re: Spaceships made up of other spaceships (SMOS)

Re: Reflectorless Rotating Oscillators (RRO)

Re: Spaceships made up of other spaceships (SMOS)

Re: Reflectorless Rotating Oscillators (RRO)

Re: Extended Life Extensions

Re: Spaceships in Life-like cellular automata

Re: Spaceships made up of other spaceships (SMOS)

Re: Spaceships made up of other spaceships (SMOS)

Re: Extended Life Extensions

Re: Extended Life Extensions

Re: The "Gray Cells" in LifeHistory Rule