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Hdjensofjfnen

Here is an example of a p2 oscillator which triggers the S8 transition, found with LLS.

Searching for a 13x13 pattern centered around the 3x3 live box yielded 0 results with RLS, so this may be one of the smallest examples.

A bit more searching with LLS confirms that this is the minimum ...

Hdjensofjfnen

This 3c/8o partial seems to bifurcate pretty early on, but ikpx2 seems to want to extend the partial as a whole rather than extending the branches individually. Could someone take a crack at extending the first 10-12 rows of this with LSSS or LLSSS?
x = 31, y = 28, rule = B3/S23
15bo$14bobo ...

Hdjensofjfnen

These two c/4 diagonal spaceships in B3/S234k differ by only two cells:
x = 51, y = 22, rule = B3/S234k
10b2o28b2o$5bob2ob4o21bob2ob4o$4b3obo4b2o19b3obo4b2o$3b2ob2o3bo3bo17b
2ob2o3bo3bo$2b2o7bobob2o15b2o7bobob2o$b2o5bo3b2obo15b2o5bo3b2obo$2bo5b
obo2bo3bo14bo5bobo2bo3bo$3b2o8b5obo13b2o8b5obo ...

Hdjensofjfnen

Recently, there's been some discussion in the Conwaylife Lounge Discord server and in the Other Cellular Automata forum about chiral (rotate4) non-totalistic rules, so I created this thread to discuss them. These rules maintain four-way rotational symmetry but not necessarily reflection symmetry, so ...

Hdjensofjfnen

pretty random, but I conjecture that there exists no stable or periodic (stationary) object that cannot be hit with a glider to create debris with a larger population than the original object. for example, the block has two collisions that have a greater final population.

I think the following ...

Hdjensofjfnen

This glider+block -> Big S reaction has been noted before in Cyclonite (B2n3-c4c/S23-y4t), but it works only two transitions from Life:

Code: Select all

x = 7, y = 4, rule = B3-c4c/S23
4bo$4bobo$2o2b2o$2o!

Hdjensofjfnen

32c/64o in a rule 3 transitions from Life and 2 transitions from PondLife (B36i/S2-i35i):
x = 9, y = 3, rule = B36i/S2-k35i
2b3o2bo$o3bo2b2o$obobo2bo!

It readily forms breeders:
x = 11, y = 14, rule = B36i/S2-k35i
4o2bo$o2bo2b2o$o5bo$b2o8$4b3o2bo$2bo3bo2b2o$2bobobo2bo!

EDIT: 4c/12o in an ...

Hdjensofjfnen

Linear replicator that throws off superstrings, such that its envelope grows quadratically:
x = 3, y = 2, rule = B3/S235e6c
3o$bo!

EDIT: This is actually a very popular rediscovery -- I've just checked and at least 5-6 others have found it before. The first mention I can find is by drc in 2017 ...

Hdjensofjfnen

And relatedly, a plain old p133 oscillator:
x = 66, y = 66, rule = B3/S23
39b2o3b2o$39bobobo2bo$41bob2obo$40bo5bob2obo$40bo3b3obob2o$45bo$39bo$
39bo$20b2o18bo3b2o$20b2o6b2o7b3o4b2o3b2o$29bo7bo11b2o$28bo$28b2o2$3b2o
$4bo4b2o$3bo5b2o$3b2o22bo$25bo3bo$b4o20bo3bo$o3b2o2b2o17bobo26b2o$obob
o3b2o46b2o ...

Hdjensofjfnen

unnamed tagalong 23P4H2V0 with LWSS synthesis:
snip

Reduction of the final step by one glider:
x = 33, y = 42, rule = B3/S23
8bobo15bobo$9b2o15b2o$9bo17bo2$3bo$4b2o$3b2o4$30bo$18bo11bobo$14bo2bob
o10b2o$13bobo2b2o$14bo$15b5o$11b2o6bo$2bo7bo2bo3bo$2b2o7b2o4b2o$bobo
11b2o12bobo$14bo3b3o8b2o ...

Hdjensofjfnen

p96 agar that works on a cross-surface, and is somehow distinct from all of these:

Code: Select all

x = 10, y = 10, rule = B2/S:C10,10
2$bobo5$bobo!

Torus or Klein bottle equivalent (the equivalence is more obvious on 20x10, but 20x5 is smaller):

Code: Select all

x = 20, y = 5, rule = B2/S:T20,5
2$6bobo2bobo!

Hdjensofjfnen

ec1263f3 wrote: January 31st, 2025, 12:12 am Could Tutorials/Catalyses be turned into a Golly script?

In what sense? Like a script that substitutes the correct catalysis for you if one exists?

Hdjensofjfnen

After getting my sweaty little hands on LLS and trying out glider synthesis for the first time, I present to you:
The 32P4H2V0 synthesis!
[...]

Great work! I've updated the wiki entry on 32P4H2V0 to reflect this.
The title of "smallest known spaceship with no known synthesis" now belongs solely ...

Hdjensofjfnen

pifricted wrote: January 13th, 2025, 9:43 am Edit:it can be a c/3 tagalong:
Code: Select all
x = 7, y = 10, rule = LifeHistory
2.3D$.D3.D$2.A.A$3.A2$2.3A$.A3.A2$A.D.D.A$.A.D.A!

Not quite -- that advances at 5c/12 orthogonal!

Hdjensofjfnen

This rule is part of a family of rules (I believe B3c4cy5ek6e, S3c4cy5ek6e, A3er, D0) where barberpoles cannot be crossed, but half-barberpoles, lines, and barges can. This specific rule has a natural (2,2)c/11 and the most interesting dynamics out of the variants I tested, especially with a larger ...

Hdjensofjfnen

p150 pi hassler partial by hotdogPi, crossposted from Discord:
x = 63, y = 33, rule = B3/S23
32bo$10b2o18b3o$10bo18bo$7b2obo18b2o$4b2o3bo$4bo7bo$12b3o22b2o$15bo16b
o2bo$4bobo7b2o14bo3b3o$4b2o28b2o$2o8bobo19bo2b2o3b2o$2o8bo2bo14bo6b3o
2b2o$6b2ob2obo16b3ob2o2bo18bo$5bo2bo21bob2ob2o18bobo ...

Hdjensofjfnen

Is this hassling mechanism known? I've looked in jslife, Golly's oscillator collection, and Catagolue.

It might be new -- it looks like nothing but a p3 pipsquirter works there, which means it probably wasn't completable before p3 pipsquirters were known.

Speaking of p3 pipsquirters, here's a ...

Hdjensofjfnen

In addition, "copies" suggests the incorrect picture of two copy&pasted parts. In this case, two instances of the engine are in different phases relative to each other, so they aren't copies.

I agree with your point on engines, but not this: "copies" definitely can refer to two instances of an ...

Hdjensofjfnen

Two copies of the p33 traffic light hassler rotor may hassle a beehive:
x = 30, y = 53, rule = B3/S23
13b2o$14bo$14bobo$15b2obo$18b3o$24bo$3b2o11bobo4bobo$4bo6bo5bo$4bobo4b
o7bobo2bo$5b3o3bo8b2ob2o$7bo16b2o$7b3o3b3o8b2o$24bobo$11bo13bob3o$11bo
$11bo$12bo$12bo$12bo2$2o6b3o3b3o$obo13bo$2bo9bo3b3o ...

Hdjensofjfnen

This looks like an interesting problem. However, I think your definition is inconsistent with the "middle cell of the boat" example in the rest of your post. Either the definition needs to be changed, or the example/questions need to be changed, or both.

[...]

Thank you for reading closely! I ...

Hdjensofjfnen

Consider any still life and an OFF cell in the same universe in generation 0. Now let the still life be destroyed by any combination of at most N gliders originating from infinity. We define the OFF cell to be in the N-shadow of the still life if, no matter the combination of gliders, the OFF cell ...

Hdjensofjfnen

Maybe move the thread to the OCA subforum, where it would be slightly more visible than in Sandbox?

That would be a good idea, although this has been in the Sandbox for quite a while now (I didn't create this thread).

Two related orthogonal spaceships showed up in D2_+1 (not my search) -- a 9c ...

Hdjensofjfnen

This p20, which just appeared as a dimer in D4_+2, appears to be completely new:
x = 19, y = 11, rule = B2ce3-ajnr/S12-ak3-a
5bo7bo$6bo5bo2$6bo5bo2$o5bo5bo5bo2$6bo5bo2$6bo5bo$5bo7bo!

EDIT: This p8 also turned up in D8_1 back in 2018, but was never reported:
x = 3, y = 10, rule = B2ce3-ajnr/S12 ...

Hdjensofjfnen

FWKnightship wrote: April 7th, 2024, 2:27 am SoManyShips-ized variant of this rule:
(snip)

Somewhat of note -- an adjustable dirty quadratic replicator:

Code: Select all

x = 23, y = 12, rule = WormLoopsAndManyShips
4$2.17B$.2A.A.B12.A$2.A16B!

Hdjensofjfnen

Crossposting a small p10 by mvr (stator reduced by hotdogPi and me):

Code: Select all

x = 15, y = 14, rule = B3/S23
8b2o$9bo$5bobo$3b3ob5o$2bo9bo$3b7obo$2obo7bob2o$3bo3bobobo$bobobobo3bo
bo$2bo9bo$3b9o2$5b2ob2o$5b2ob2o!

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Re: Endemic periodic patterns and still lifes

Re: Spaceship Discussion Thread

Re: Rules 1 transition from Life

Chiral non-totalistic rules

Re: Unproven conjectures

Re: Rules 2 transitions from Life

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Rules 2 transitions from Life

Re: Oscillator Discussion Thread

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Re: Not very interesting rule: B2ce3-ajnr/S12-ak3-a

Re: Not very interesting rule: B2ce3-ajnr/S12-ak3-a

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