ConwayLife.com

EDIT: xs30_c89n8brz330f836 emerges from a perturbation of xs24_c89n8brz33032 (block on cover at block on cover) - though the active object which does the transformation doesn't look familiar at all
x = 26, y = 20, rule = B3/S23
23bobo$2b2ob2o16b2o$3bob2o17bo$o2bo$3ob3o$3bo2bo$2obo$2ob2o5$6b3o4b2o ...

Are you sure you have set it up right? I believe that theoretically there could be one hundreds of cells big but none smaller, even for small objects.


Admittedly, I haven't, although perhaps this could be addressed by including a border of indeterminate cells on the border of generation 1 ...

Here's is a 9-cell one for eater 1:
#C чи це і і и
#C Я не знаю, м н мальн й
#C это ли и и ы

x = 6, y = 5, rule = B3/S23
2bobo2$3bobo$o4bo$ob2o!



LLS finds an 8-cell solution, which is minimal:
x = 6, y = 6, rule = B3/S23
bobo$o$2bo$2bobo$5bo$3bo!


Not every still life allows a solution ...

With Logic Life Search, I checked your solutions for the still lifes.

The smallest solution for a block is 14 cells:
x = 6, y = 6, rule = B3/S23
ob2obo$b4o$2b2o$bo2bo2$2b2o!

The smallest solution for a boat is 13 cells:
x = 7, y = 7, rule = B3/S23
4bo$4bo$3b3o$o2b2obo$obo2$b2o!

The smallest ...

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 ...

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 ...

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 ...

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 ...

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 ...

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

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 ...

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 ...

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 ...

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 ...

p96 agar that works on a cross-surface, and is somehow distinct from all of these: Torus or Klein bottle equivalent (the equivalence is more obvious on 20x10, but 20x5 is smaller):

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?

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 ...

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!

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...

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 ...