Forums for Conway's Game of Life
https://conwaylife.com/forums/
This is obviously already in the collection under c orthogonal:haaaaaands wrote: March 27th, 2024, 4:51 am the tiny thing:strength proof:Code: Select all
x = 2, y = 1, rule = B1e2-a4k/S134 2o!and this was originally found by accident xdCode: Select all
x = 14, y = 1, rule = B1e2-a4k/S134 2o6b2o2b2o!
Code: Select all
x = 2, y = 1, rule = B1e/S1e
2o!Code: Select all
x = 8, y = 1, rule = B1e/S1e
4o2b2o!Code: Select all
x = 4, y = 5, rule = B3-ceky4aijnqtw5jqy6aci/S2-ac3-ce4ijkt
bo$o2bo$o2bo$o2bo$b3o!Honestly, it's about time that someone wrote a script that can identify replicators, just like how oscar and LifeViewer can reliably identify still lifes, oscillators and spaceships. Even if we limit ourselves to the 1D case, we have a big enough sample size with the collection zip so far - how difficult could it be?LaundryPizza03 wrote: March 28th, 2024, 9:58 am I'm not sure how to process these 4737 results automatically, all with displacement a divisor of 20 and most of which are likely 20c/40o replicators.
b3-y4kw5inys2-i3-ay4i@10_x20_backup.txt
hotcrystal0 wrote: March 28th, 2024, 4:28 pm Surprise, surprise. The rule has another replicator, this time a clean one. It forms when what would be a traffic light predecessor is sparked in a certain way:Code: Select all
x = 7, y = 5, rule = B3-cek4-iqry5jr6n8/S2-a3-ky4cky b3o2bo$o3bo$o3bo$o3bo$b3o!
Code: Select all
x = 5, y = 4, rule = B3acei4aq5aejr6aen7e/S2aen3-acy4iqt5aekn6kn7c8
2b2o$bob2o$2obo$b2o!Code: Select all
x = 5, y = 9, rule = B2ein3cijn4cnrwy5cnq6e/S1c2-ai3acny4anqy5c6ek8
b3o$o3bo$2bo4$2bo$o3bo$b3o!Code: Select all
x = 3, y = 3, rule = B2e3-cnqr4i5-iy/S1c2-in3ny4c
bo$obo$3o!Code: Select all
x = 3, y = 4, rule = B3ai4ai/S2e34aeiwz5iqr6a
bo$3o$3o$bo!Code: Select all
x = 3, y = 3, rule = B3aijq4aeqr5a6c/S2ae3cijnr4aciq5aei7e
b2o$obo$3o!Code: Select all
x = 7, y = 3, rule = B3aeij4ajkrt5-er6-in78/S23
2o3b2o$2o3b2o$2o3b2o!Code: Select all
x = 12, y = 12, rule = B3aijry4z5ery6c7c8/S2-ci3-aky4einrtyz5cejqr6cn
$6b2o$5b5o$5b2o3bo$10bo$2b2o5b2o$b3o3b2o$b2o3bo$2bo3bo$2bo2bo$3b3o!Code: Select all
x = 9, y = 9, rule = B2-an3a5ac6an7e8/S1c2-n3enr4er5cej6ai
6bobo$6bobo$6bobo4$3o2$3o!Code: Select all
x = 13, y = 13, rule = B2ei3aeij4ckt5kry6i7/S1c2ace3jkn4aeijtw5ekry6in7e
3bo$2bobo$b5o$obobobo$b5o$2bobo$3bo5bo$8bobo$7b5o$6bobobobo$7b5o$8bobo
$9bo!Code: Select all
x = 12, y = 3, rule = B2-ai/S12-k
b3o4b3o$o3bo2bo3bo$b3o4b3o!I believe this one's been in the folder since the first release: (37,4)c/96wwei47 wrote: March 28th, 2024, 2:55 pm Posting this old pattern I found in case it didn't make it here:Code: Select all
x = 4, y = 5, rule = B3-ceky4aijnqtw5jqy6aci/S2-ac3-ce4ijkt bo$o2bo$o2bo$o2bo$b3o!
Code: Select all
x = 73, y = 3, rule = B01e2ace34ajy5akq6ci7e/S01e234a5cinq
33bo5bo$o3bo29bo3bo29bo3bo$bobo65bobo!
Is there a dedicated collection for B0 5s stuff? We could definitely set up one for this collection as well (although I probably won't be the one maintaining it).LaundryPizza03 wrote: April 11th, 2024, 1:16 am I think we should catalog B0 ones separately, like this (±51,33)c/102 migratory orthogonal replicator:Code: Select all
x = 73, y = 3, rule = B01e2ace34ajy5akq6ci7e/S01e234a5cinq 33bo5bo$o3bo29bo3bo29bo3bo$bobo65bobo!
Code: Select all
x = 2, y = 3, rule = B02346/S023
bo2$o!Code: Select all
x = 5, y = 3, rule = B3-ejq4einrtwz5-ery6-k78/S2ace3cinr4ijnqwz5ceqy6c7
bobo$obobo$bobo!
Here's the current version. B0 5s is also accessible through jedlimlx's applet at https://gliderdb-reader.vercel.app/.muzik wrote: April 16th, 2024, 11:00 amIs there a dedicated collection for B0 5s stuff? We could definitely set up one for this collection as well (although I probably won't be the one maintaining it).LaundryPizza03 wrote: April 11th, 2024, 1:16 am I think we should catalog B0 ones separately, like this (±51,33)c/102 migratory orthogonal replicator:Code: Select all
x = 73, y = 3, rule = B01e2ace34ajy5akq6ci7e/S01e234a5cinq 33bo5bo$o3bo29bo3bo29bo3bo$bobo65bobo!
I should point out that we don't have any true knight-replicators in a non-B0 rule yet:Code: Select all
x = 2, y = 3, rule = B02346/S023 bo2$o!
Given that this replicator never ends up becoming just two copies an infinite number of times at twice, four times, eight times, etc. its period, it obviously doesn't fit here.wwei47 wrote: April 17th, 2024, 10:13 pm Is this in the collection? It seems to follow a fixed rule but I don't see it listed under 3c/13 anywhere.Code: Select all
x = 5, y = 3, rule = B3-ejq4einrtwz5-ery6-k78/S2ace3cinr4ijnqwz5ceqy6c7 bobo$obobo$bobo!
Doesn't it just replicate under a different rule?muzik wrote: April 20th, 2024, 8:20 pmGiven that this replicator never ends up becoming just two copies an infinite number of times at twice, four times, eight times, etc. its period, it obviously doesn't fit here.wwei47 wrote: April 17th, 2024, 10:13 pm Is this in the collection? It seems to follow a fixed rule but I don't see it listed under 3c/13 anywhere.Code: Select all
x = 5, y = 3, rule = B3-ejq4einrtwz5-ery6-k78/S2ace3cinr4ijnqwz5ceqy6c7 bobo$obobo$bobo!
It's not a parity rule, so it doesn't fit in the collection.wwei47 wrote: April 21st, 2024, 9:57 pmDoesn't it just replicate under a different rule?muzik wrote: April 20th, 2024, 8:20 pmGiven that this replicator never ends up becoming just two copies an infinite number of times at twice, four times, eight times, etc. its period, it obviously doesn't fit here.wwei47 wrote: April 17th, 2024, 10:13 pm Is this in the collection? It seems to follow a fixed rule but I don't see it listed under 3c/13 anywhere.Code: Select all
x = 5, y = 3, rule = B3-ejq4einrtwz5-ery6-k78/S2ace3cinr4ijnqwz5ceqy6c7 bobo$obobo$bobo!
Code: Select all
x = 2, y = 3, rule = R3,C2,S9-11,B6
2o$2o$2o![/patternCode: Select all
x = 14, y = 12, rule = 345/2/11|345/24/11
2$5.2A$4.3A$5.3A$4.BC2A$4.3ADA$4.D2EBAB$4.CDEBC3A$4.FGCBC3A$4.2EFHB.A
$4.H2IG!Code: Select all
x = 2, y = 3, rule = B2ce3j4c5e/S12e3a4i
o$bo$2o!Should be easy enough to figure out: every 11 generations it translates 4 cells orthogonally and 2 cells vertically, for a total of (4,2)c/11.R2INT wrote: September 11th, 2024, 2:49 pm Replicator:What speed is it?Code: Select all
x = 2, y = 3, rule = B2ce3j4c5e/S12e3a4i o$bo$2o!
There are also, of course, replicators on the hexagonal and triangular grids, which wouldn't fit into the collection as it currently exists, but very well could have a section if I can bother to figure out the coordinate systems:AforAmpere wrote: February 19th, 2025, 8:15 amSimilar to some of the previous 'insane' ones, but in a diamond shape:EDIT, another weird one:Code: Select all
x = 3, y = 4, rule = B3aijry4ciqz5ry6ci7c/S2-i3-ay4i5ceijq6aei7c8 2o$b2o$2o$o!EDIT2, another clean, but unusual triangle:Code: Select all
x = 3, y = 4, rule = B3aijry4eiqz5e6c7c/S2-i3-ay4i5-ejny6aik7e 2o$b2o$2o$o!Code: Select all
x = 3, y = 4, rule = B3aijry4eiq5y6c7c/S2-i3-a4i5eijq6ak7e 2o$b2o$2o$o!
AlephAlpha wrote: July 26th, 2020, 9:24 pmAn interesting replicator in a hexagonal rule:Code: Select all
x = 4, y = 4, rule = B2o3op4m5/S13m4p6H 2bo$bobo$o2bo$b2o!
I probably won't bother maintaining a B0 collection, but if anyone else is up for that then feel free to do so:LaundryPizza03 wrote: January 12th, 2022, 3:25 amCommon Rule 150 replicator:Code: Select all
x = 9, y = 5, rule = B13/SLV bobo$b3o!
Do tell me if there are any mistakes in the new or updated replicators included in version 1.7.
Code: Select all
x = 4, y = 3, rule = B3-j4-a5ay/S2-cn3
2o$b2o$2b2o!Proof of paritymuzik wrote: May 15th, 2016, 10:53 am...Code: Select all
x = 7, y = 7, rule = B3578/S23 3o$obo2bo$3o2$4b3o$4bobo$4b3o!
Code: Select all
x = 41, y = 35, rule = B3578/S23
3$23b3o$23bobo$23b3o2$27b3o$24bo2bobo$27b3o10$7b3o$7bobo2bo$7b3o2$11b
3o$11bobo$11b3o2$15b3o$15bobo2bo$15b3o2$19b3o$19bobo$19b3o!