ConwayLife.com

pzq_alex

This may be a long-lived methuselah, but it didn't stabilize even after 100000 generations. x = 7, y = 10, rule = Symbiosis .6A$A5.A$6.A$A4.A3$B4.B$6.B$B5.B$.6B! Congratulations, you just found orthogonal trench warfare. Trenches can also be orthogonal. x = 5, y = 10, rule = Symbiosis 2.A$2.2A$3.2A...

pzq_alex

b-engine wrote: ↑
December 3rd, 2023, 2:30 am
pzq_alex wrote: ↑
December 3rd, 2023, 2:14 am
Nope either:
Code: Select all
x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!
It's reduction of jam.

I don't get what you're trying to say -- by any standard your p3 isn't the smallest. Here another smaller p3:

Code: Select all

x = 4, y = 6, rule = Symbiosis
.B$A$2.AB2$2A$.B!

pzq_alex

b-engine wrote: ↑
December 3rd, 2023, 2:30 am
pzq_alex wrote: ↑
December 3rd, 2023, 2:14 am
Nope either:
Code: Select all
x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!
It's reduction of jam.

It isn't because the rotors are different.

pzq_alex

b-engine wrote: ↑
December 3rd, 2023, 12:31 am
I mean smallest p3 that's not torch-based.

Nope either:

Code: Select all

x = 4, y = 5, rule = Symbiosis
2A$2A2$.A.B$.B.A!

pzq_alex

b-engine wrote: ↑
November 21st, 2023, 5:27 am
G-to-unnamed converter:
Code: Select all
x = 14, y = 14, rule = Symbiosis
12.A$11.A$11.3A7$2.A$.A.A$.A.A$B.A.B$2B.2B!

quite silly reflector

Code: Select all

x = 16, y = 18, rule = Symbiosis
4.B$.B.4AB$B2A2.A$2.2A2$14.A$13.A$13.3A5$BA2$4.A$3.A.A$3.A.A$2.B.A.B!

pzq_alex

Placeholder for the details of how the CA check works and in particular the table-makery and PEXT nonsense that speeds it up. I assume these are least interesting of anything I'm going to write, but I'll come back and fill them in if someone wants to know. I'd love to hear the pext bit twiddling. (...

pzq_alex

Features some photon (moving) conduits x = 17, y = 91, rule = 345/2/4 2A13.2A$2B13.2B$2C2.2A5.2A2.2C$3.A2B2A.2A2BA$3.B2C.3A.2CB$3.C2.2A.2A2. C$.2A2.A.ACA.A2.2A$.3A2.2A.2A2.3A$ABA2.A.A.A.A2.ABA$.3AC.2A.2A.C3A$C6. A.A6.C$B2CB4A.4AB2CB$4.A2.A.A2.A$.C2.B.2A.2A.B2.C$BC.BC2.A.A2.CB.CB$A BCB2.2A.2A2.BCBA$2...

pzq_alex

Randomized lightspeed RLS searches are returning interesting results: many ships are made from a wickstretcher-wickeater pair, and many (very!) sparky ships. Here are some raw ships: x = 209, y = 97, rule = 345/2/4 88.2A13.2A19.2A5.2A$88.2B2.2A5.2A2.2B18.4A3.4A$2A13.2A33.2A9.2A25.2CA .2A5.2A.A2C19.2...

pzq_alex

Left-turn Pi-to-B and glider reflector: x = 37, y = 16, rule = Symbiosis 19.B15.B$19.A15.A$18.2A14.2A$19.AB14.AB$17.A.A13.A.A$17.2A14.2A$12.3A 3.AB14.AB$2A10.A.A3.B15.B$2A10.A.A13.2A$27.A.A$29.A4$3.2A$3.B! It can, through the same recovery mechanism as the reflector, convert many things to gliders: ...

pzq_alex

For continuing here's a random 8x8 region for you to catalyze:

Code: Select all

x = 8, y = 8, rule = Life
2o3bobo$2obo3bo$o4bobo$obo2bo$b2o$2b2o2bo$4b3o$3o2b3o!

pzq_alex

Eaten: x = 25, y = 31, rule = B3/S23 15bob2o$13b3obo$12bo6bo$13b7o$16bo$5bo7b2o3b2o$5b3o5bob4obo$8bo12bo$7b 2o5b2ob4obo$14b2obo2bo2bo$20bo3bo$21b4o2$9b3obo7b2o$3b2o2b2obo10b2o$3b 2o6bo$8b2o2bo$7bo5bo$7bob4o3$2b2o$bobo$bo$2o10b2obo2bo$13bob4o$11bobo $11b2o2b2o$16bo$15bo$15b2o! A normal eater 2 works...

pzq_alex

that's like in the first post of this thread. also the stator reductions are obvious

wwei23 wrote: ↑
July 23rd, 2017, 4:13 pm
8-cell P3 in 2 phrases:
Code: Select all
x = 1, y = 8, rule = Symbiosis
B$B$B$B$A$A$A$A!

pzq_alex

* Turn "View -> Show Exact Numbers" on. * Open the pattern via "Open Clipboard". The top-left cell should get coordinates (0,0). * Use goto.lua to go to the generation 1000000000000000 (10^15). * The displayed population is 1,042,324,103,587,982. * Add a single state-1 cell at X = 56, Y = 43 (insid...

pzq_alex

buump x = 28, y = 46, rule = B3/S23 10bo6bo$9b3o4b3o$4b3ob2o2bo2bo2b2ob3o$4bo2b4ob4ob4o2bo$3bo3bo2bo6bo2bo 3bo$3bobo16bobo$2b2ob5o8b5ob2o$4bo5bo6bo5bo$3b6o10b6o$3b4o2bo8bo2b4o$ 3bo20bo$7b2o10b2o2$7bo12bo$4b4o12b4o$4bo18bo$3bo2bobo10bobo2bo$3b3o2bo 10bo2b3o$2bo2bo3bo8bo3bo2bo$b5o16b5o$2b2o2bo2bo8bo2b...

pzq_alex

why is my randomized rls search grey-y x = 20, y = 31, rule = Life 2.3A10.3A$2.A2.A8.A2.A$2.A14.A$2.A3.A6.A3.A$2.A3.A6.A3.A$3.A3.A4.A3.A $8.A2.A$9.2A$6.A.A2.A.A$6.A.A2.A.A$7.A4.A$5.2A6.2A$4.A2.6A2.A$3.3A8. 3A$2.A4.2A2.2A4.A$.6A6.6A$A6.6A6.A$4.3A6.3A$A2.2A3.4A3.2A2.A$.A.A2.A 2.2A2.A2.A.A$6.A.4A.A$7.A...

pzq_alex

Can you reiterate what you find wrong about this argument: Fix a version of colorized Life (say DoubleB3S23); Any colorized Life pattern can be emulated in Life; Thus, any function computed by colorized Life can be computed by Life; Thus colorized Life is at most as powerful as Life (in fact equally...

pzq_alex

trash ship

Code: Select all

x = 12, y = 34, rule = B3/S23
2bo5bo$b3o3b3o$2obo2b2obo$3o3b3o$b2o4b2o$6bo$2bobob2obo$2bo2bobo$6bo$
5b2o$3bo2bo$3bo$3bo3bo$2b5obo$2bob2o2b2o$2bobo2b3o$3b2obo$2bo3b4o$bo8b
o$bo2b5obo$2b2o7bo$5bo5bo$4bobo2b2o$3bob2o$3bo2bo$6bo$5bo$2b3o$bobo$b
o2bo$2obo$3bo$obo$obo!

pzq_alex

EDIT2: longest 2c/5 partial from rlifesrc x = 19, y = 97, rule = B2i3-cr4itw5aejqr6akn78/S2-i3-aek4cij5ci7e 9bo$7b2ob2o$5b2o2bo2b2o$4bo3b3o3bo$4bo9bo$4bo4bo4bo$4b3o5b3o$3b3ob2ob 2ob3o$4bo2bo3bo2bo$9bo$5bo2bobo2bo$4bo4bo4bo$4bo2b5o2bo$4b3ob3ob3o$6bo bobobo$5b3o3b3o$3b2o2bobobo2b2o$4b11o$9bo$6bob3obo...

pzq_alex

Just do sudo apt install jq if you're on Linux (or WSL). Otherwise try to get jq installed (on the PATH) on your computer. I have no idea what ikpx2 would use jq to do though...

pzq_alex

More generally, c/6 still lacks a collection of short wide spaceships. Keith Amling posted a small collection here . The center of your tagalong above is labeled as G -> H -> H' -> G', but it connects to a component not seen in Amling's collection (although it can be seen in a few other ships in js...

pzq_alex

Is Rules W75, W89, W124, W137 and W193 turing-complete? Rules 124, 137, and 193 are all variants (under black/white reversal and reflection) of 110, which is Turing-complete, so by extension these are too. I don't believe the others have been proved either way. Then why does everyone talk about W11...

pzq_alex

Most unexpected double catalysis in a while :shock: x = 8, y = 10, rule = Symbiosis 7.A$6.A$3.A.2A$3.3A2$2.A$.A.A$.A.A$B.A$2.B! More unanticipated catalysis: x = 8, y = 7, rule = Symbiosis 5.2A$6.A$2.A3.A$.A.A2.2A$.A.A$B.A$2.B! And to show some actual use, two catalyses of an R, the bottom can proba...

pzq_alex

The difficulty here is that no configuration of cells can evolve to the central patch of agar -- some part of it has to be placed down. But there isn't a large enough (missing at most 12 cells) of the still life that is still stable. I conjecture that this still life is unbuildable. The conjecture ...

pzq_alex

New post since editing the original notifies the quoted person What if we restrict the number of cells that can be placed down in short succession (12)? Here's an example of what you can do with five: x = 67, y = 8, rule = DoubleB3S23 6.C19.C19.C19.C$4.3C17.3C17.3C17.3C$3.C19.C19.C19.C$3.2C18.2C18.2...

pzq_alex

I can't get past this point for the unsynthesizable still life—can anyone else solve it? x = 282, y = 43, rule = LifeHistory 12.2E4.2E79.2C17.2A20.2A4.2C17.2A4.2A20.2A4.2A23.2A4.2A15.2D2.3D.2D2. 3D2.D2.3D4.D2.D2.D$12.E5.E80.C18.A21.A5.C18.A5.A21.A5.A24.A5.A16.D.D. D3.D.D.D3.D.D2.D4.D.D.2D.D$7.2E5.E...

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