Two 5×5 Methuselahs converging to a common attractor at generation 23

[RoaldVaron24]

Hi all — posting a discovery from a recent random 5×5 search that I'd like to document on LifeWiki once my account has enough edits.

---

EDIT by dvgrn:: replaced triple backticks with [pattern​] tags to enable LifeViewer.

The patterns

P503 (12 cells):

Code: Select all

x = 5, y = 5, rule = B3/S23
ob3o$bob2o$2obo$5$b2o2$

P160 (13 cells):

Code: Select all

x = 5, y = 5, rule = B3/S23
ob3o$o3bo$bo2bo$2o3$2obo$

---

The finding

Both patterns were found independently during a multi-threaded random search over 5×5 bounding boxes (C++, infinite sparse-grid simulator, ~300 patterns/second). They evolve completely independently for their first 22 generations, then converge at generation 23 to the same attractor: **four beehives in a symmetric cross** (population 24, bounding box 13×13, D4 symmetry), displaced by dr=−1, dc=+1.

Lifespans confirmed in Golly 5.0 on an infinite grid:
- P503: ~4,928 generations
- P160: ~4,726 generations
- Both: final state pop=24, fully static

For reference, the R-pentomino lives 1,103 generations — both of these live roughly 4.3–4.5× longer.

Population trajectory (selected generations):

| Gen | P503 | P160 |
|-----|------|------|
| 0 | 12 | 13 |
| 5 | 8 | 8 |
| 18 | 56 | 40 |
| 20 | 24 | 56 |
| 22 | 24 | 24 |
| 23 | 24 | 24 | ← canonical match |

**Final state (ASCII, 13×13):**

Code: Select all

......O......
.....O.O.....
.....O.O.....
......O......
.............
.OO.......OO.
O..O.....O..O
.OO.......OO.
.............
......O......
.....O.O.....
.....O.O.....
......O......

---

Broader context

In a full convergence analysis of 608 Methuselahs found in the same search, 360 distinct attractors were found — meaning 41% of patterns share an attractor with at least one other pattern. The 4-beehive cross is the 6th most common attractor, with 10 patterns total converging to it (including P503 and P160).

---

Happy to share the search code or the full results file. Would appreciate if someone with wiki access could create a page, or point me to the right place to document this.

Thanks!

[I6_I6]

Welcome to the Forums!

Those beehive crosses are called honey farms, and they have lots of small predecessors so it's not very surprising that 10 different 5x5 soups produce them.
How did you calculate those lifespans? Manually checking the patterns' lifespans reveals that they stabilize after 21 and 23 generations, respectively.

Btw, you can put RLE in code tags or pattern tags so the reader can view them in LifeViewer.
Press the </> or pattern button above the post editing box to add them to your post. You should see

Code: Select all

[code][/codé]

(obviously without the accent) appear in your post.
For example, here's P503:

Code: Select all

x = 5, y = 5, rule = B3/S23
ob3o$o3bo$bo2bo$2o!

[dvgrn]

The fates of all 5x5 patterns in an infinite universe have been worked out quite a few times now, as far back as 1997. Here are some relevant forum discussions:

Re: Golly Scripts
Small Tori in B3/S23

I'm not quite sure where to put information like this on the LifeWiki. Maybe there should be something like a "Table of exhaustive enumerations", with links to forum threads reporting the results of those enumerations? That might have the good side effect of giving people ideas about searches that haven't been completed via exhaustive enumeration yet.

[hotdogPi]

There also seems to be a bit of confusion here.

The two LifeViewer windows produce honey farms quickly.

Moving the bottom row up to row 5 makes it a methuselah but has nothing to do with honey farms.

In neither case is the pattern both a methuselah and a honey farm generator. Something lasting several thousand generations and producing only one honey farm and nothing else actually would be notable, for the same reason 2000-generation diehards are notable.

[hotcrystal0]

Some comments:
1. Is this AI-generated? It sure does somewhat look like it is. Also the triple backticks note seems to affirm it since most AIs use Markdown for formatting.
2. Those are honey farm predecessors.
3. Generally, a pattern is only considered a methuselah if it lasts for more than 100 generations.
4. Most methuselahs are not considered interesting unless they either last a long time, produce an interesting object, or are common evolutionary sequences.

[RoaldVaron24]

Some comments:
1. Is this AI-generated? It sure does somewhat look like it is. Also the triple backticks note seems to affirm it since most AIs use Markdown for formatting.
2. Those are honey farm predecessors.
3. Generally, a pattern is only considered a methuselah if it lasts for more than 100 generations.
4. Most methuselahs are not considered interesting unless they either last a long time, produce an interesting object, or are common evolutionary sequences.



1. It is, i'm having trouble to analize the data. And also trying to write in english which is not my mother tongue.

[NNlk05]

Welcome to the Forums!

1. It is, i'm having trouble to analize the data. And also trying to write in english which is not my mother tongue.

AI have the habit of making things up. For example, P usually stands for the period of an oscillator. Please try to use a translation serves such as Google Translate or something else if it's blocked in your region. You may also want to check out LifeWiki to learn more about the game of life.

[RoaldVaron24]

Welcome to the Forums!

1. It is, i'm having trouble to analize the data. And also trying to write in english which is not my mother tongue.

AI have the habit of making things up. For example, P usually stands for the period of an oscillator. Please try to use a translation serves such as Google Translate or something else if it's blocked in your region. You may also want to check out LifeWiki to learn more about the game of life.

Alright. But, i don't think it makes stuff up. For me that I don't have a lot of knowledge in this subject. I was bored and decided to run an experiment

[NNlk05]

Alright. But, i don't think it makes stuff up. For me that I don't have a lot of knowledge in this subject. I was bored and decided to run an experiment

AI does make up stuff. Search up "AI hallucination". I still suggest you read up on the game of life.

[RoaldVaron24]

Alright. But, i don't think it makes stuff up. For me that I don't have a lot of knowledge in this subject. I was bored and decided to run an experiment

AI does make up stuff. Search up "AI hallucination". I still suggest you read up on the game of life.

Sure. Thank you very much for your time

[RoaldVaron24]

Some comments:
1. Is this AI-generated? It sure does somewhat look like it is. Also the triple backticks note seems to affirm it since most AIs use Markdown for formatting.
2. Those are honey farm predecessors.
3. Generally, a pattern is only considered a methuselah if it lasts for more than 100 generations.
4. Most methuselahs are not considered interesting unless they either last a long time, produce an interesting object, or are common evolutionary sequences.

Thank you for taking your time in what I post. I wanted to mention this:

1.The lifespan numbers: the 4,928 and 4,726 generation counts refer to how long each pattern takes to fully stabilize on an infinite grid (verified in Golly 5.0), not when the honey farm structure first appears.
2. The honey farm forms around gen 21–23, but gliders and other structures continue interacting for thousands of generations after that before the pattern reaches a fully static state.
3. A 5×5 pattern (15 cells) still active at generation 54,600 with population 357, spread over a bounding box of 27,118×27,102. Stabilization generation unknown — still running.

Code: Select all

x = 5, y = 5, rule = B3/S23
o3bo$ob2obo$5o$bo2b2o$b4o$o4bo$

4. A 6×6 pattern (20 cells) that stabilizes after ~20,000 generations with a final population oscillating between 728–730, spread over a 2,323×2,485 bounding box — indicating at least one active oscillator.

Code: Select all

x = 6, y = 6, rule = B3/S23
bobobo$b2ob2o$bo3bo$o2b2o$3o2bo$obob2o$

[NNlk05]

Thank you for taking your time in what I post. I wanted to mention this:

1.The lifespan numbers: the 4,928 and 4,726 generation counts refer to how long each pattern takes to fully stabilize on an infinite grid (verified in Golly 5.0), not when the honey farm structure first appears.
2. The honey farm forms around gen 21–23, but gliders and other structures continue interacting for thousands of generations after that before the pattern reaches a fully static state.
3. A 5×5 pattern (15 cells) still active at generation 54,600 with population 357, spread over a bounding box of 27,118×27,102. Stabilization generation unknown — still running.

Code: Select all

x = 5, y = 5, rule = B3/S23
o3bo$ob2obo$5o$bo2b2o$b4o$o4bo$

4. A 6×6 pattern (20 cells) that stabilizes after ~20,000 generations with a final population oscillating between 728–730, spread over a 2,323×2,485 bounding box — indicating at least one active oscillator.

Code: Select all

x = 6, y = 6, rule = B3/S23
bobobo$b2ob2o$bo3bo$o2b2o$3o2bo$obob2o$

1. Nope. See below
2. Nope. Also see below
3. The 5x5 pattern stabilizes in tick 1858. You can confirm that by running it yourself instead of letting AI """run""" it.

Code: Select all

x = 747, y = 731, rule = B3/S23
31b3o$31bo$32bo233$381b2o$380bobo$380b2o9$390b2o$390b2o3$352b2o$352b2o
2$307b3o11b3o$383bo$382bobo$382bobo$383bo$323b2o$323b2o$340bo36b2o$339b
obo18b2o14bo2bo$339bobo18b2o15b2o16bo$340bo26b2o26bo$366bo2bo25bo$367b
2o$391b3o3b3o2$384bo10bo$372b2o10bo10bo$372b2o10bo10bo$330b2o$330b2o48b
3o3b3o5$392b3o8b2o$322b2o78bo2bo$322b2o78bo2bo$382b3o18b2o$360bo$359b
obo$359bobo$354b2o4bo8b2o$354b2o13bobo$370bo17b2o$388b2o$328b3o112bo$
399bo42bobo$398bobo42bo$327bo10bo60b2o$327bo10bo5b2o10b3o$327bo10bo5b
2o$317b2o49b2o33b3o$316bobo12b2o7b3o24bobo$315bobo12bo2bo33b2o80b2o$316b
o8b2o3bobo115bo2bo$325b2o4bo112b2o3bobo$444b2o4bo$311b2o$311b2o139bo$
328b2o16b2o37b2o65bo$327bo2bo3bo10bo2bo36b2o65bo$328b2o3bobo10bobo$333b
obo5bo5bo$334bo5bobo21b2o$339bo2bo21b2o$329b2o9b2o59b2o$328bo2bo68bob
o$329b2o23bo46bo$353bobo25bo$353bobo24bobo$297bo56bo25bobo$296bobo82b
o9b2o8b2o$296bobo92b2o7bobo$297bo26b2o74b2o$324b2o43b2o$369b2o3$342bo
15bo$341bobo14bo$335b2o3bo2bo14bo$335bobo3b2o$336bo2$320b2o77b2o$320b
2o77b2o2$352b3o$342b2o$341bo2bo$306bo35b2o$305bobo44b3o$305bo2bo94b2o
$306b2o5b2o2b3o6b2o75b2o$313b2o10bo2bo$326b2o7$393b2o$393bobo$394b2o330$
702bo$700bobo$701b2o15$bo$o$3o32$746bo$744bobo$745b2o!

Final ash as proof. Click the "Show in Viewer" to see it. It has the bounding box of 747x731.
4. The 6x6 lives for 3577 ticks.
Ash:

Code: Select all

x = 1536, y = 1697, rule = B3/S23
1533b2o$1534b2o$1533bo41$1482bo$1482b2o$1481bobo36$1408bo$1408b2o$1407b
obo284$332b2o$332bobo$332bo391$686b2o$685bobo$685b2o9$695b2o$695b2o7$
691b2o$691b2o7$688bo$688bo$628b2o58bo$627bobo$628bo3b2o31bo18b3o3b3o$
632b2o31bo$665bo22bo$688bo$688bo$733bo$732bobo$656b2o29b2o44b2o$656b2o
29b2o4$630b2o$630b2o52b2o45b2o27b2o$683bo2bo44b2o26bo2bo$684b2o74b2o$
745bo$744bobo$743bo2bo$658bo12b2o71b2o$658bo12b2o19bo26b3o44b2o$658bo
32bobo72b2o$691bobo23bo5bo73b2o$654b3o3b3o29bo24bo5bo73bobo$623bo93bo
5bo74b2o$623bo34bo23b2o3b2o50bo$623bo34bo23b2o2bo2bo29b3o17bo$658bo28b
2o50bo$747b2o30b2o$643bo27b3o72bo2bo29b2o$622b2o18bobo102b2o$622b2o18b
2o25bo54b3o31bo$669bo4b2o5b2o59b2o13bobo24b3o$669bo4b2o4bo2bo38bo5bo13b
obo12b2o$681b2o39bo5bo14bo22bo$614bo98b3o6bo5bo37bo$613bobo73bo53bo22b
o$613bobo73bo27bo6b3o16bo$614bo14b2o58bo27bo25bo46b2o$629b2o15b2o69bo
72b2o$645bo2bo$619b2o20b2o3b2o66b2o$618bo2bo19b2o71b2o63b2o13bo$619b2o
60bo26bo70b2o13bo$681bo25bobo60b2o22bo$681bo25bobo60b2o$708bo47bo33b3o
3b3o$683b3o69bobo$640bo62b2o7b2o41bobo7bo$640bo36b3o22bo2bo5bo2bo41bo
8bo20b2o19b2o$640bo10b2o50b2o7b2o51bo20b2o5b2o3bo7bo2bo$651b2o22bo5bo
112bo2bobo7b2o$675bo5bo26bo82bo5bobo$633b2o40bo5bo25bobo81b2o5bo$633b
2o72bobo7b2o87bo$640b2o35b3o28bo8bobo13bo5b2o64bobo$639bo2bo59b2o14bo
14bo5b2o65bobo$640bobo59b2o29bo73bo$641bo14bo54b2o100b3o$655bobo7bo45b
2o$635b2o19bo7bobo11bo77b2ob2o32b2o$635b2o28b2o11bo77b2ob2o31bobo7b3o
$678bo114bo$639b2o8b2o17bo131bo$639b2o8b2o16bobo130bo$668b2o53b2o75bo
$709b2o11bobo$708bo2bo10b2o78b3o4b3o$709b2o3$684b3o$808bo$682bo5bo85b
2o32bo$682bo5bo85b2o32bo$682bo5bo2$684b3o$672bo18b2o19bo$671bobo16bob
o18bobo$671bobo16b2o19bobo$672bo39bo2$686b2o45bo34b2o26b2o$675bo9bo2b
o43bobo33b2o25bo2bo$675bo10b2o11b2o31bo2bo59bo2bo$647b2o26bo22bo2bo31b
2o61b2o$647b2o50b2o$638bo17bo$638bo16bobo73b2o$619b2o17bo4b2o10bobo72b
o2bo17bo$619b2o21bobo11bo74bobo16bobo$643bo88bo7b2o8bobo$654bo84bo2bo
8bo$654bo28bo11b2o43b2o4bo$654bo28bo11b2o49bo$683bo62bo$754b2o$742b3o
3b3o2bo2bo$754b2o$613b2o131bo$609b2o2b2o131bo$609b2o135bo2$628b2o$627b
o2bo$628b2o$669b2o21bo$669b2o21bo$692bo$622b2o$622b2o90b3o2$695b2o$674b
3o17bo2bo$626b2o67b2o$626b2o4$609b2o63b2o9bo$605b2o2b2o62bo2bo7bobo$605b
2o67b2o8bobo$685bo8$677bo$672bo3bobo$671bobo2bo2bo$672b2o3b2o61$450bo
$448b2o$449b2o145$978bo$979bo$977b3o11$978bo$979bo$977b3o115$202bo$202b
obo$202b2o169$49bo$48bo$48b3o20$117bobo$117b2o$118bo105$o$obo$2o41$1319b
o$1320bo$1318b3o86$1433bo$1434bo$1432b3o!

It has the bounding box 1536x1697.

indicating at least one active oscillator

Almost all parents will have an oscillator in the ash.

[RoaldVaron24]

Thank you for taking your time in what I post. I wanted to mention this:

1.The lifespan numbers: the 4,928 and 4,726 generation counts refer to how long each pattern takes to fully stabilize on an infinite grid (verified in Golly 5.0), not when the honey farm structure first appears.
2. The honey farm forms around gen 21–23, but gliders and other structures continue interacting for thousands of generations after that before the pattern reaches a fully static state.
3. A 5×5 pattern (15 cells) still active at generation 54,600 with population 357, spread over a bounding box of 27,118×27,102. Stabilization generation unknown — still running.

Code: Select all

x = 5, y = 5, rule = B3/S23
o3bo$ob2obo$5o$bo2b2o$b4o$o4bo$

4. A 6×6 pattern (20 cells) that stabilizes after ~20,000 generations with a final population oscillating between 728–730, spread over a 2,323×2,485 bounding box — indicating at least one active oscillator.

Code: Select all

x = 6, y = 6, rule = B3/S23
bobobo$b2ob2o$bo3bo$o2b2o$3o2bo$obob2o$

1. Nope. See below
2. Nope. Also see below
3. The 5x5 pattern stabilizes in tick 1858. You can confirm that by running it yourself instead of letting AI """run""" it.

Code: Select all

x = 747, y = 731, rule = B3/S23
31b3o$31bo$32bo233$381b2o$380bobo$380b2o9$390b2o$390b2o3$352b2o$352b2o
2$307b3o11b3o$383bo$382bobo$382bobo$383bo$323b2o$323b2o$340bo36b2o$339b
obo18b2o14bo2bo$339bobo18b2o15b2o16bo$340bo26b2o26bo$366bo2bo25bo$367b
2o$391b3o3b3o2$384bo10bo$372b2o10bo10bo$372b2o10bo10bo$330b2o$330b2o48b
3o3b3o5$392b3o8b2o$322b2o78bo2bo$322b2o78bo2bo$382b3o18b2o$360bo$359b
obo$359bobo$354b2o4bo8b2o$354b2o13bobo$370bo17b2o$388b2o$328b3o112bo$
399bo42bobo$398bobo42bo$327bo10bo60b2o$327bo10bo5b2o10b3o$327bo10bo5b
2o$317b2o49b2o33b3o$316bobo12b2o7b3o24bobo$315bobo12bo2bo33b2o80b2o$316b
o8b2o3bobo115bo2bo$325b2o4bo112b2o3bobo$444b2o4bo$311b2o$311b2o139bo$
328b2o16b2o37b2o65bo$327bo2bo3bo10bo2bo36b2o65bo$328b2o3bobo10bobo$333b
obo5bo5bo$334bo5bobo21b2o$339bo2bo21b2o$329b2o9b2o59b2o$328bo2bo68bob
o$329b2o23bo46bo$353bobo25bo$353bobo24bobo$297bo56bo25bobo$296bobo82b
o9b2o8b2o$296bobo92b2o7bobo$297bo26b2o74b2o$324b2o43b2o$369b2o3$342bo
15bo$341bobo14bo$335b2o3bo2bo14bo$335bobo3b2o$336bo2$320b2o77b2o$320b
2o77b2o2$352b3o$342b2o$341bo2bo$306bo35b2o$305bobo44b3o$305bo2bo94b2o
$306b2o5b2o2b3o6b2o75b2o$313b2o10bo2bo$326b2o7$393b2o$393bobo$394b2o330$
702bo$700bobo$701b2o15$bo$o$3o32$746bo$744bobo$745b2o!

Final ash as proof. Click the "Show in Viewer" to see it. It has the bounding box of 747x731.
4. The 6x6 lives for 3577 ticks.
Ash:

Code: Select all

x = 1536, y = 1697, rule = B3/S23
1533b2o$1534b2o$1533bo41$1482bo$1482b2o$1481bobo36$1408bo$1408b2o$1407b
obo284$332b2o$332bobo$332bo391$686b2o$685bobo$685b2o9$695b2o$695b2o7$
691b2o$691b2o7$688bo$688bo$628b2o58bo$627bobo$628bo3b2o31bo18b3o3b3o$
632b2o31bo$665bo22bo$688bo$688bo$733bo$732bobo$656b2o29b2o44b2o$656b2o
29b2o4$630b2o$630b2o52b2o45b2o27b2o$683bo2bo44b2o26bo2bo$684b2o74b2o$
745bo$744bobo$743bo2bo$658bo12b2o71b2o$658bo12b2o19bo26b3o44b2o$658bo
32bobo72b2o$691bobo23bo5bo73b2o$654b3o3b3o29bo24bo5bo73bobo$623bo93bo
5bo74b2o$623bo34bo23b2o3b2o50bo$623bo34bo23b2o2bo2bo29b3o17bo$658bo28b
2o50bo$747b2o30b2o$643bo27b3o72bo2bo29b2o$622b2o18bobo102b2o$622b2o18b
2o25bo54b3o31bo$669bo4b2o5b2o59b2o13bobo24b3o$669bo4b2o4bo2bo38bo5bo13b
obo12b2o$681b2o39bo5bo14bo22bo$614bo98b3o6bo5bo37bo$613bobo73bo53bo22b
o$613bobo73bo27bo6b3o16bo$614bo14b2o58bo27bo25bo46b2o$629b2o15b2o69bo
72b2o$645bo2bo$619b2o20b2o3b2o66b2o$618bo2bo19b2o71b2o63b2o13bo$619b2o
60bo26bo70b2o13bo$681bo25bobo60b2o22bo$681bo25bobo60b2o$708bo47bo33b3o
3b3o$683b3o69bobo$640bo62b2o7b2o41bobo7bo$640bo36b3o22bo2bo5bo2bo41bo
8bo20b2o19b2o$640bo10b2o50b2o7b2o51bo20b2o5b2o3bo7bo2bo$651b2o22bo5bo
112bo2bobo7b2o$675bo5bo26bo82bo5bobo$633b2o40bo5bo25bobo81b2o5bo$633b
2o72bobo7b2o87bo$640b2o35b3o28bo8bobo13bo5b2o64bobo$639bo2bo59b2o14bo
14bo5b2o65bobo$640bobo59b2o29bo73bo$641bo14bo54b2o100b3o$655bobo7bo45b
2o$635b2o19bo7bobo11bo77b2ob2o32b2o$635b2o28b2o11bo77b2ob2o31bobo7b3o
$678bo114bo$639b2o8b2o17bo131bo$639b2o8b2o16bobo130bo$668b2o53b2o75bo
$709b2o11bobo$708bo2bo10b2o78b3o4b3o$709b2o3$684b3o$808bo$682bo5bo85b
2o32bo$682bo5bo85b2o32bo$682bo5bo2$684b3o$672bo18b2o19bo$671bobo16bob
o18bobo$671bobo16b2o19bobo$672bo39bo2$686b2o45bo34b2o26b2o$675bo9bo2b
o43bobo33b2o25bo2bo$675bo10b2o11b2o31bo2bo59bo2bo$647b2o26bo22bo2bo31b
2o61b2o$647b2o50b2o$638bo17bo$638bo16bobo73b2o$619b2o17bo4b2o10bobo72b
o2bo17bo$619b2o21bobo11bo74bobo16bobo$643bo88bo7b2o8bobo$654bo84bo2bo
8bo$654bo28bo11b2o43b2o4bo$654bo28bo11b2o49bo$683bo62bo$754b2o$742b3o
3b3o2bo2bo$754b2o$613b2o131bo$609b2o2b2o131bo$609b2o135bo2$628b2o$627b
o2bo$628b2o$669b2o21bo$669b2o21bo$692bo$622b2o$622b2o90b3o2$695b2o$674b
3o17bo2bo$626b2o67b2o$626b2o4$609b2o63b2o9bo$605b2o2b2o62bo2bo7bobo$605b
2o67b2o8bobo$685bo8$677bo$672bo3bobo$671bobo2bo2bo$672b2o3b2o61$450bo
$448b2o$449b2o145$978bo$979bo$977b3o11$978bo$979bo$977b3o115$202bo$202b
obo$202b2o169$49bo$48bo$48b3o20$117bobo$117b2o$118bo105$o$obo$2o41$1319b
o$1320bo$1318b3o86$1433bo$1434bo$1432b3o!

It has the bounding box 1536x1697.

indicating at least one active oscillator

Almost all parents will have an oscillator in the ash.

But those aren't the onse I uploaded? I'm running it in golly, not by AI. I have a code and run it in my own computer. I use the AI to analyze it. It just helping me. And by uploading here and your corrections I can make something.

[RoaldVaron24]

Thank you for taking your time in what I post. I wanted to mention this:

1.The lifespan numbers: the 4,928 and 4,726 generation counts refer to how long each pattern takes to fully stabilize on an infinite grid (verified in Golly 5.0), not when the honey farm structure first appears.
2. The honey farm forms around gen 21–23, but gliders and other structures continue interacting for thousands of generations after that before the pattern reaches a fully static state.
3. A 5×5 pattern (15 cells) still active at generation 54,600 with population 357, spread over a bounding box of 27,118×27,102. Stabilization generation unknown — still running.

Code: Select all

x = 5, y = 5, rule = B3/S23
o3bo$ob2obo$5o$bo2b2o$b4o$o4bo$

4. A 6×6 pattern (20 cells) that stabilizes after ~20,000 generations with a final population oscillating between 728–730, spread over a 2,323×2,485 bounding box — indicating at least one active oscillator.

Code: Select all

x = 6, y = 6, rule = B3/S23
bobobo$b2ob2o$bo3bo$o2b2o$3o2bo$obob2o$

1. Nope. See below
2. Nope. Also see below
3. The 5x5 pattern stabilizes in tick 1858. You can confirm that by running it yourself instead of letting AI """run""" it.

Code: Select all

x = 747, y = 731, rule = B3/S23
31b3o$31bo$32bo233$381b2o$380bobo$380b2o9$390b2o$390b2o3$352b2o$352b2o
2$307b3o11b3o$383bo$382bobo$382bobo$383bo$323b2o$323b2o$340bo36b2o$339b
obo18b2o14bo2bo$339bobo18b2o15b2o16bo$340bo26b2o26bo$366bo2bo25bo$367b
2o$391b3o3b3o2$384bo10bo$372b2o10bo10bo$372b2o10bo10bo$330b2o$330b2o48b
3o3b3o5$392b3o8b2o$322b2o78bo2bo$322b2o78bo2bo$382b3o18b2o$360bo$359b
obo$359bobo$354b2o4bo8b2o$354b2o13bobo$370bo17b2o$388b2o$328b3o112bo$
399bo42bobo$398bobo42bo$327bo10bo60b2o$327bo10bo5b2o10b3o$327bo10bo5b
2o$317b2o49b2o33b3o$316bobo12b2o7b3o24bobo$315bobo12bo2bo33b2o80b2o$316b
o8b2o3bobo115bo2bo$325b2o4bo112b2o3bobo$444b2o4bo$311b2o$311b2o139bo$
328b2o16b2o37b2o65bo$327bo2bo3bo10bo2bo36b2o65bo$328b2o3bobo10bobo$333b
obo5bo5bo$334bo5bobo21b2o$339bo2bo21b2o$329b2o9b2o59b2o$328bo2bo68bob
o$329b2o23bo46bo$353bobo25bo$353bobo24bobo$297bo56bo25bobo$296bobo82b
o9b2o8b2o$296bobo92b2o7bobo$297bo26b2o74b2o$324b2o43b2o$369b2o3$342bo
15bo$341bobo14bo$335b2o3bo2bo14bo$335bobo3b2o$336bo2$320b2o77b2o$320b
2o77b2o2$352b3o$342b2o$341bo2bo$306bo35b2o$305bobo44b3o$305bo2bo94b2o
$306b2o5b2o2b3o6b2o75b2o$313b2o10bo2bo$326b2o7$393b2o$393bobo$394b2o330$
702bo$700bobo$701b2o15$bo$o$3o32$746bo$744bobo$745b2o!

Final ash as proof. Click the "Show in Viewer" to see it. It has the bounding box of 747x731.
4. The 6x6 lives for 3577 ticks.
Ash:

Code: Select all

x = 1536, y = 1697, rule = B3/S23
1533b2o$1534b2o$1533bo41$1482bo$1482b2o$1481bobo36$1408bo$1408b2o$1407b
obo284$332b2o$332bobo$332bo391$686b2o$685bobo$685b2o9$695b2o$695b2o7$
691b2o$691b2o7$688bo$688bo$628b2o58bo$627bobo$628bo3b2o31bo18b3o3b3o$
632b2o31bo$665bo22bo$688bo$688bo$733bo$732bobo$656b2o29b2o44b2o$656b2o
29b2o4$630b2o$630b2o52b2o45b2o27b2o$683bo2bo44b2o26bo2bo$684b2o74b2o$
745bo$744bobo$743bo2bo$658bo12b2o71b2o$658bo12b2o19bo26b3o44b2o$658bo
32bobo72b2o$691bobo23bo5bo73b2o$654b3o3b3o29bo24bo5bo73bobo$623bo93bo
5bo74b2o$623bo34bo23b2o3b2o50bo$623bo34bo23b2o2bo2bo29b3o17bo$658bo28b
2o50bo$747b2o30b2o$643bo27b3o72bo2bo29b2o$622b2o18bobo102b2o$622b2o18b
2o25bo54b3o31bo$669bo4b2o5b2o59b2o13bobo24b3o$669bo4b2o4bo2bo38bo5bo13b
obo12b2o$681b2o39bo5bo14bo22bo$614bo98b3o6bo5bo37bo$613bobo73bo53bo22b
o$613bobo73bo27bo6b3o16bo$614bo14b2o58bo27bo25bo46b2o$629b2o15b2o69bo
72b2o$645bo2bo$619b2o20b2o3b2o66b2o$618bo2bo19b2o71b2o63b2o13bo$619b2o
60bo26bo70b2o13bo$681bo25bobo60b2o22bo$681bo25bobo60b2o$708bo47bo33b3o
3b3o$683b3o69bobo$640bo62b2o7b2o41bobo7bo$640bo36b3o22bo2bo5bo2bo41bo
8bo20b2o19b2o$640bo10b2o50b2o7b2o51bo20b2o5b2o3bo7bo2bo$651b2o22bo5bo
112bo2bobo7b2o$675bo5bo26bo82bo5bobo$633b2o40bo5bo25bobo81b2o5bo$633b
2o72bobo7b2o87bo$640b2o35b3o28bo8bobo13bo5b2o64bobo$639bo2bo59b2o14bo
14bo5b2o65bobo$640bobo59b2o29bo73bo$641bo14bo54b2o100b3o$655bobo7bo45b
2o$635b2o19bo7bobo11bo77b2ob2o32b2o$635b2o28b2o11bo77b2ob2o31bobo7b3o
$678bo114bo$639b2o8b2o17bo131bo$639b2o8b2o16bobo130bo$668b2o53b2o75bo
$709b2o11bobo$708bo2bo10b2o78b3o4b3o$709b2o3$684b3o$808bo$682bo5bo85b
2o32bo$682bo5bo85b2o32bo$682bo5bo2$684b3o$672bo18b2o19bo$671bobo16bob
o18bobo$671bobo16b2o19bobo$672bo39bo2$686b2o45bo34b2o26b2o$675bo9bo2b
o43bobo33b2o25bo2bo$675bo10b2o11b2o31bo2bo59bo2bo$647b2o26bo22bo2bo31b
2o61b2o$647b2o50b2o$638bo17bo$638bo16bobo73b2o$619b2o17bo4b2o10bobo72b
o2bo17bo$619b2o21bobo11bo74bobo16bobo$643bo88bo7b2o8bobo$654bo84bo2bo
8bo$654bo28bo11b2o43b2o4bo$654bo28bo11b2o49bo$683bo62bo$754b2o$742b3o
3b3o2bo2bo$754b2o$613b2o131bo$609b2o2b2o131bo$609b2o135bo2$628b2o$627b
o2bo$628b2o$669b2o21bo$669b2o21bo$692bo$622b2o$622b2o90b3o2$695b2o$674b
3o17bo2bo$626b2o67b2o$626b2o4$609b2o63b2o9bo$605b2o2b2o62bo2bo7bobo$605b
2o67b2o8bobo$685bo8$677bo$672bo3bobo$671bobo2bo2bo$672b2o3b2o61$450bo
$448b2o$449b2o145$978bo$979bo$977b3o11$978bo$979bo$977b3o115$202bo$202b
obo$202b2o169$49bo$48bo$48b3o20$117bobo$117b2o$118bo105$o$obo$2o41$1319b
o$1320bo$1318b3o86$1433bo$1434bo$1432b3o!

It has the bounding box 1536x1697.

indicating at least one active oscillator

Almost all parents will have an oscillator in the ash.

But those aren't the onse I uploaded? I'm running it in golly, not by AI. I have a code and run it in my own computer. I use the AI to analyze it. It just helping me. And by uploading here and your corrections I can make something.

I see I have uploaded with andvanced generation. But you are right.

[otismo]

on the off chance that a i may have just possibly joined our community
i want to remind everyone that it is still just a baby - we need to help a i understand what "noteworthy" is

i had this exact same difficulty when i decided to "get serious" in 2019

<3

[RoaldVaron24]

on the off chance that a i may have just possibly joined our community
i want to remind everyone that it is still just a baby - we need to help a i understand what "noteworthy" is

i had this exact same difficulty when i decided to "get serious" in 2019

<3

Man, I'm not trying to upset anyone. Just sharing and looking for some directions.

[NNlk05]

The most likely reason that you think it hasn't stabilized is because of the outward-travelling gliders. The gliders prevent the pattern from becoming periodic as a whole. You may want to check out apgsearch, which handles glliders and spaceships.

[RoaldVaron24]

The most likely reason that you think it hasn't stabilized is because of the outward-travelling gliders. The gliders prevent the pattern from becoming periodic as a whole. You may want to check out apgsearch, which handles glliders and spaceships.

Thank you for your help!!