Search found 764 matches
- October 7th, 2026, 6:26 pm
- Forum: Other Cellular Automata
- Topic: Smallest Spaceships Supporting Specific Speeds (5s) Project
- Replies: 1427
- Views: 537890
Re: Smallest Spaceships Supporting Specific Speeds (5s) Project
Double post, but (8,1)c/9:
(...)
This and the (7,1)c/8 look so...different from other relativistic oblique spaceships. What was the search methodology used to find it?
I found some p1 orthogonal backends and then thought about extending the concept to obliques. May13's OT (2,1)c/3s were ...
- October 6th, 2026, 3:53 pm
- Forum: Other Cellular Automata
- Topic: Smallest Spaceships Supporting Specific Speeds (5s) Project
- Replies: 1427
- Views: 537890
Re: Smallest Spaceships Supporting Specific Speeds (5s) Project
Finally found a (7,1)c/8
x = 75, y = 77, rule = B2-ik3cenqr4ajqtwyz5aejkn6-ei78/S02cin3-iknr4-nqwy5-acek678
5bobob4o$b3o6bo3b2o$2bo2bo2b2ob4obo$5o2b7o$b4o2b6obo$2b12ob2o$3b12ob2o
$4b11obo$5b10obo$6b11o$7b10o$8b7ob3o$9b6o2bobo$10b10o$11b8o7bo$12b7o2b
3o2bo2b3obo$13b8o4bobo2bobobo$14b5o2bo3b2o2bob3o ...
x = 75, y = 77, rule = B2-ik3cenqr4ajqtwyz5aejkn6-ei78/S02cin3-iknr4-nqwy5-acek678
5bobob4o$b3o6bo3b2o$2bo2bo2b2ob4obo$5o2b7o$b4o2b6obo$2b12ob2o$3b12ob2o
$4b11obo$5b10obo$6b11o$7b10o$8b7ob3o$9b6o2bobo$10b10o$11b8o7bo$12b7o2b
3o2bo2b3obo$13b8o4bobo2bobobo$14b5o2bo3b2o2bob3o ...
- September 29th, 2026, 7:05 pm
- Forum: Scripts
- Topic: amling search program principles discussion / brain dump
- Replies: 622
- Views: 157459
Re: amling search program principles discussion / brain dump
I am tickled enough by the problem ("find any (7, 1)c/8" and perhaps "in this rule") that I might be interested in taking a look myself. If you are okay with that (and the risk of getting partly scooped), please let me know, unambiguously, and I shall try to restrain myself otherwise.
Please ...
- September 29th, 2026, 4:38 am
- Forum: Other Cellular Automata
- Topic: Thread for your corderization requests
- Replies: 558
- Views: 103340
Re: Thread for your corderization requests
This (7,1)c/8 puffer only produces 2 dots each cycle, and is self corderizing. If anyone can find a corderization in this or a related rule we would have the first (7,1)c/8 in INT
x = 20, y = 91, rule = B2-ik3ejkry4eijnqt5-jqy6-en78/S02-ai3jq4aknrt5-akry678
10bobo$4b3ob3ob2ob2o$3bob4ob2o2b2obo ...
x = 20, y = 91, rule = B2-ik3ejkry4eijnqt5-jqy6-en78/S02-ai3jq4aknrt5-akry678
10bobo$4b3ob3ob2ob2o$3bob4ob2o2b2obo ...
- September 29th, 2026, 4:25 am
- Forum: Other Cellular Automata
- Topic: TEMPORARILY PAUSED -- OCA Discovery of the Year 2025 Voting
- Replies: 14
- Views: 516
Re: OCA Discovery of the Year 2025 Voting
I don't mean to be the party pooper here, but I would like to ask @mods to lock/delete this thread. We all need to work on tidying up the nomination list so we can best show off the wonderful discoveries our community found in 2025. Currently there is a few big errors, and there is a lot of polish ...
- September 29th, 2026, 4:02 am
- Forum: Other Cellular Automata
- Topic: OCA Discovery of the Year 2025 Nominations
- Replies: 16
- Views: 2841
Re: OCA Discovery of the Year 2025 Nominations
I will try to make some time to review the and finalize the list over the weekend, but just from a precursory glance I can see a few errors/obvious things that can be improved
There are 2 big errors:
The nomination list is still missing #9.
Katrina has her name misspelled as Kathina. Additionally ...
There are 2 big errors:
The nomination list is still missing #9.
Katrina has her name misspelled as Kathina. Additionally ...
- September 21st, 2026, 7:24 pm
- Forum: Other Cellular Automata
- Topic: Rules with interesting dynamics
- Replies: 1203
- Views: 495833
Re: Rules with interesting dynamics
A (3,1)c/4 with the same backend as the orthogonal ones
x = 11, y = 7, rule = B2-kn3aer4-aekr5cekqr6-n/S1e2e3aeikn4aeijkq5aceny6-i7e8
bobob3ob2o$2ob3o2bo$2b3o2bo2bo$b2ob2obo2$2b8o$bo8bo!
I also realized that we could use the backend of May13's OT (2,1)c/3s to find some fast obliques
Here is a (3 ...
x = 11, y = 7, rule = B2-kn3aer4-aekr5cekqr6-n/S1e2e3aeikn4aeijkq5aceny6-i7e8
bobob3ob2o$2ob3o2bo$2b3o2bo2bo$b2ob2obo2$2b8o$bo8bo!
I also realized that we could use the backend of May13's OT (2,1)c/3s to find some fast obliques
Here is a (3 ...
- September 18th, 2026, 10:52 pm
- Forum: Other Cellular Automata
- Topic: Rules with interesting dynamics
- Replies: 1203
- Views: 495833
Re: Rules with interesting dynamics
I found some incredibly interesting 6c/7 ships using an incredibly clean backend. Here are just a few
x = 18, y = 7, rule = B2-kn3acnqy4-intz5-acqy6-in7c8/S1c2-ac3cin4cknqy5-kq6-n7e8
3bob3o2b3obo$6bob2obo$2b2ob2ob2ob2ob2o$b2ob2obo2bob2ob2o$18o2$o16bo!
x = 20, y = 7, rule = B2-k3anqy4-iknrt5-cjky6 ...
x = 18, y = 7, rule = B2-kn3acnqy4-intz5-acqy6-in7c8/S1c2-ac3cin4cknqy5-kq6-n7e8
3bob3o2b3obo$6bob2obo$2b2ob2ob2ob2ob2o$b2ob2obo2bob2ob2o$18o2$o16bo!
x = 20, y = 7, rule = B2-k3anqy4-iknrt5-cjky6 ...
- September 17th, 2026, 11:57 pm
- Forum: Other Cellular Automata
- Topic: Smallest Spaceships Supporting Specific Speeds (5s) Project
- Replies: 1427
- Views: 537890
Re: Smallest Spaceships Supporting Specific Speeds (5s) Project
9c/10 at 61 cells x = 17, y = 27, rule = B2ac3anr4anqrtwz5cejk6ain7c/S12i3aejy4cekqtwz5akn6-i
6bo3bo$ob3o2bobo2b3obo$o2b2obo3bob2o2bo$o2b3o5b3o2bo$3bobo5bobo2$2bo
11bo$6b2ob2o$5bo5bo2$7bobo2$5bobobobo2$7bobo$6bobobo7$6bo3bo$5bo5bo$6b
obobo$7bobo$8bo!
2 18c/20 puffers with decently sparse outputs ...
6bo3bo$ob3o2bobo2b3obo$o2b2obo3bob2o2bo$o2b3o5b3o2bo$3bobo5bobo2$2bo
11bo$6b2ob2o$5bo5bo2$7bobo2$5bobobobo2$7bobo$6bobobo7$6bo3bo$5bo5bo$6b
obobo$7bobo$8bo!
2 18c/20 puffers with decently sparse outputs ...
- September 7th, 2026, 2:00 pm
- Forum: Other Cellular Automata
- Topic: TEMPORARILY PAUSED -- OCA Discovery of the Year 2025 Voting
- Replies: 14
- Views: 516
Re: OCA Discovery of the Year 2025 Voting
... due to my mistakes, I think it is better for someone else to host it...
I don't think you should beat yourself up about messing up, I think this is just a sign that we should put more time and effort as a community into curating and creating the nomination text and list. Why don't you put ...
- September 1st, 2026, 6:09 pm
- Forum: Other Cellular Automata
- Topic: Rules with small adjustable spaceships
- Replies: 214
- Views: 169720
Re: Rules with small adjustable spaceships
And some for knightships using the original asymmetric design all found by me. Thanks to Ampere for analyzing and proving the bounds for these, as these ended up being a step up in complexity from the others.
All knightships with speeds ≤(2,1)c/12
x = 27, y = 17, rule = B2cin3aej4cqrtwy5er6-cn7c8 ...
All knightships with speeds ≤(2,1)c/12
x = 27, y = 17, rule = B2cin3aej4cqrtwy5er6-cn7c8 ...
- August 31st, 2026, 5:34 pm
- Forum: Other Cellular Automata
- Topic: TEMPORARILY PAUSED -- OCA Discovery of the Year 2025 Voting
- Replies: 14
- Views: 516
Re: OCA Discovery of the Year 2025 Voting
Is the voting going to start soon?
Nobody has made any nominations for a while, so if you want your pattern to be the OCA discovery of the year, you should do it now! :mrgreen:
Here you go. It's almost September now, so I may as well start it.
2 of the nominations from the nomination ...
- August 29th, 2026, 2:16 pm
- Forum: Other Cellular Automata
- Topic: Mealworm
- Replies: 32
- Views: 4635
Re: Mealworm
First mealworms with a period over 1m
58412c/3662306
x = 10, y = 3, rule = B2c3akn4nqwyz5cjy6-ei7e/S1e23cejr4-eknqz5ik6kn8
2b6o$3bo4b2o$8o!
30528c/1910184
x = 10, y = 3, rule = B2c3akn4cnqz5cjy6-ei7e/S1e2-n3ejr4-knwz5iq6kn8
10o$5b2o$6b4o!
27012c/1690144
x = 10, y = 3, rule ...
58412c/3662306
x = 10, y = 3, rule = B2c3akn4nqwyz5cjy6-ei7e/S1e23cejr4-eknqz5ik6kn8
2b6o$3bo4b2o$8o!
30528c/1910184
x = 10, y = 3, rule = B2c3akn4cnqz5cjy6-ei7e/S1e2-n3ejr4-knwz5iq6kn8
10o$5b2o$6b4o!
27012c/1690144
x = 10, y = 3, rule ...
- August 27th, 2026, 12:58 am
- Forum: Other Cellular Automata
- Topic: Mealworm
- Replies: 32
- Views: 4635
Re: Mealworm
2 more mealworm spaces loosely based on my last post.
The only asymmetric mealworm ship in this rule moves at (38, 2)c/11250
x = 3, y = 34, rule = B2ci3aejny4ikrw5cnqr6c7e8/S1e2cik3aejnr4aikr5cijry6-ce8
obo2$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$
2bo$2bo$2bo$2bo$2bo ...
The only asymmetric mealworm ship in this rule moves at (38, 2)c/11250
x = 3, y = 34, rule = B2ci3aejny4ikrw5cnqr6c7e8/S1e2cik3aejnr4aikr5cijry6-ce8
obo2$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$2bo$
2bo$2bo$2bo$2bo$2bo ...
- August 22nd, 2026, 6:09 pm
- Forum: Other Cellular Automata
- Topic: Mealworm
- Replies: 32
- Views: 4635
Re: Mealworm
2 mealworm with incredibly interesting ships both of which have many relatives with similar mechanics. I need to do a deeper and more rigorous investigation of both of the rules and their spaces.
This first one has over 250 known speeds of ships. Ships consist of a high period moving signal ...
This first one has over 250 known speeds of ships. Ships consist of a high period moving signal ...
- August 15th, 2026, 5:05 am
- Forum: Other Cellular Automata
- Topic: Smallest Oscillators Supporting Specific Periods
- Replies: 195
- Views: 100514
Re: Smallest Oscillators Supporting Specific Periods
I finally managed to crack the last 4 periods under p500. The lowest unknown period is 515. There are also now over 1000 different 2 cell periods (1024). There are a definitively finite number of possible 2 cell oscillators, so at some point I suspect that we will reach a barrier. But where is it ...
- August 7th, 2026, 7:42 pm
- Forum: Other Cellular Automata
- Topic: Reflectorless Rotating Oscillators (RRO)
- Replies: 320
- Views: 171683
Re: Reflectorless Rotating Oscillators (RRO)
A bit of trivia that I think belongs in this thread, loopability as a concept can actually be generalized to spaceships, and there's a known example by hotcrystal0 and FWKnightship here:
I think I found a SMORRO x = 34, y = 5, rule = 2-cn3-acky4ityz5k/2k3-ekny4ijqy6i78/3
2A30.2A$A.A28.A.A$A ...
- July 29th, 2026, 5:25 pm
- Forum: Other Cellular Automata
- Topic: Smallest Oscillators Supporting Specific Periods
- Replies: 195
- Views: 100514
Re: Smallest Oscillators Supporting Specific Periods
Updated 2 cell oscillator database. There are 78 new periods, the lowest unknown period has gone from p169 to p203, and the highest period has gone from p410 to a whopping p2271. This all comes from a bunch of 5xn mealworm oscillators
2, B2e/S0, 0, 0, 1, o$2bo!
2, B2e/S, 0, 0, 2, o$bo!
2, B2en ...
2, B2e/S0, 0, 0, 1, o$2bo!
2, B2e/S, 0, 0, 2, o$bo!
2, B2en ...
- July 1st, 2026, 6:33 pm
- Forum: Other Cellular Automata
- Topic: Mealworm
- Replies: 32
- Views: 4635
Re: Mealworm
Recently I did a survey of the 64 possible internal mealworm rules for 3xn mealworms with edges that are solid lines and that can't be destroyed from internal signals. This survey was done manually and is a bit imprecise. I want to do more research into a lot of the rules where signals can propagate ...
- June 23rd, 2026, 3:07 pm
- Forum: Other Cellular Automata
- Topic: Rules with small adjustable spaceships
- Replies: 214
- Views: 169720
Re: Rules with small adjustable spaceships
I might make a thread for Phoenix rules later; As a teaser here is the first adjustable ship in a phoenix rule
The speeds are c/27+6nd
x = 57, y = 17, rule = B2cek3-eky4-ekqrw5aejr6c/S
4bo19bo19bo$4bobo17bobo17bobo$4bobo17bobo17bobo$3b2obobo14b2obobo14b2o
bobo$4o2bobo11b4o2bobo11b4o2bobo ...
The speeds are c/27+6nd
x = 57, y = 17, rule = B2cek3-eky4-ekqrw5aejr6c/S
4bo19bo19bo$4bobo17bobo17bobo$4bobo17bobo17bobo$3b2obobo14b2obobo14b2o
bobo$4o2bobo11b4o2bobo11b4o2bobo ...
- June 16th, 2026, 12:24 am
- Forum: Other Cellular Automata
- Topic: Rules with small adjustable spaceships
- Replies: 214
- Views: 169720
Re: Rules with small adjustable spaceships
I finally found an adjustable ship in INT where the period scales exponentially to the max length. In fact this rule has 2 ships with this property. These were all based on a small clean binary counter found by Ampere.
Their speeds are:
c/16⋅2^(2n)+8n+46 and c/96⋅2^(2n)+8n+47 where n>=1
x = 20, y ...
Their speeds are:
c/16⋅2^(2n)+8n+46 and c/96⋅2^(2n)+8n+47 where n>=1
x = 20, y ...
- June 15th, 2026, 5:52 pm
- Forum: Other Cellular Automata
- Topic: 1D rules (Rules with only 1 death transition)
- Replies: 0
- Views: 214
1D rules (Rules with only 1 death transition)
Note this is only for Non-B0 1D rules
I have recently realized that there is a surprising amount of depth in rules that only use one death transition. What Dx means is that every survival transition is on except for x. for example D3a is equivalent to S0123-a45678. This thread is for findings in 1D ...
I have recently realized that there is a surprising amount of depth in rules that only use one death transition. What Dx means is that every survival transition is on except for x. for example D3a is equivalent to S0123-a45678. This thread is for findings in 1D ...
- June 1st, 2026, 1:16 am
- Forum: Other Cellular Automata
- Topic: Thread for your corderization requests
- Replies: 558
- Views: 103340
Re: Thread for your corderization requests
You can support the Highlife (101,3)c/1884 engine with just one block, There is still a lot of ash but it is at least progress
Code: Select all
x = 67, y = 464, rule = B38/S23
53b2o$53b2o100$56b2o$56b2o100$59b2o$59b2o100$62b2o$62b2o100$65b2o$65b
2o46$9b2o$9bobo$10b2o7$22b2o$21b2o$2o21bo$2o!
- May 13th, 2026, 11:17 pm
- Forum: Other Cellular Automata
- Topic: Rules with interesting dynamics
- Replies: 1203
- Views: 495833
Re: Rules with interesting dynamics
Incredibly interesting amoebae that for long sections seem to be stable spacefillers with signals moving around them The amoebae seem to be bistable and if the edges break enough the whole structure falls apart and the amoebae start to slowly shrink
This soup stabilizes at generation 14866759 with a ...
This soup stabilizes at generation 14866759 with a ...
- May 13th, 2026, 11:08 pm
- Forum: The Sandbox
- Topic: OogaBooga's random stuff
- Replies: 20
- Views: 2285
Re: OogaBooga's random stuff
Hi OogaBooga, both of these discoveries are incredible and deserve much more attention. Would you mind posting more of your stuff in Rules with interesting dynamics interesting replicators, or other topics in the OCA subforum? These are all cool and I wouldn't have noticed if not for yyh_baboon's ...