## Smallest long-lived methuselahs

For discussion of other cellular automata.
Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Smallest long-lived methuselahs

CoolCreeper39 wrote:This should last 98,975,173 generations for MCPS=5:

Code: Select all

``````x = 5, y = 3, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
2b3o\$bo\$o!``````
98,975,157 for MCPS=6:

Code: Select all

``````x = 4, y = 4, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
2bo\$bo\$o\$3bo!``````
98,975,173 for MCPS=7:

Code: Select all

``````x = 6, y = 4, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
o\$3b3o\$2bo\$bo!
``````
MCP=8+ can be trivially constructed in the same way.

EDIT: Better MCPS=6:

Code: Select all

``````x = 4, y = 4, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
3bo2\$bobo\$o!
``````
All of these are based around this 3-cell methuselah:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
2bo\$bo\$o!``````

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

### Re: Smallest long-lived methuselahs

Likely methuselahs:

Code: Select all

``````x = 7, y = 7, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
6bo\$5bo\$4bo\$3bo\$2bo\$bo\$o!``````

Code: Select all

``````x = 9, y = 9, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
8bo\$7bo\$6bo\$5bo\$4bo\$3bo\$2bo\$bo\$o!
``````

Code: Select all

``````x = 13, y = 13, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
12bo\$11bo\$10bo\$9bo\$8bo\$7bo\$6bo\$5bo\$4bo\$3bo\$2bo\$bo\$o!
``````

Code: Select all

``````x = 14, y = 14, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
13bo\$12bo\$11bo\$10bo\$9bo\$8bo\$7bo\$6bo\$5bo\$4bo\$3bo\$2bo\$bo\$o!
``````

Code: Select all

``````x = 17, y = 17, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
16bo\$15bo\$14bo\$13bo\$12bo\$11bo\$10bo\$9bo\$8bo\$7bo\$6bo\$5bo\$4bo\$3bo\$2bo\$bo\$
o!
``````

Code: Select all

``````x = 18, y = 18, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
17bo\$16bo\$15bo\$14bo\$13bo\$12bo\$11bo\$10bo\$9bo\$8bo\$7bo\$6bo\$5bo\$4bo\$3bo\$2b
o\$bo\$o!
``````

Code: Select all

``````x = 20, y = 20, rule = B2-a3-any5ainy678/S2ce3any4aenyz5kr6-e8
19bo\$18bo\$17bo\$16bo\$15bo\$14bo\$13bo\$12bo\$11bo\$10bo\$9bo\$8bo\$7bo\$6bo\$5bo\$
4bo\$3bo\$2bo\$bo\$o!
``````

AforAmpere
Posts: 1134
Joined: July 1st, 2016, 3:58 pm

### Re: Smallest long-lived methuselahs

The top one seems to stabilize at 6,169,725.
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Smallest long-lived methuselahs

2718281828 wrote: This one will likely work with L>217M:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5-jkqr67/S2ce3any4aenyz5ikr6-en7c8
2bo\$bo\$o!
``````
It has an upper bound of 324M,
with as ash:

Code: Select all

``````x = 12377, y = 12377, rule = B2-a3-any5-jkqr67/S2ce3any4aenyz5ikr6-en7c8
6187b3o3\$6187b3o10\$6187bobo18\$6172bo31bo\$6173bo14bo14bo2\$6188bo\$6188bo
2\$6188bo12\$6171bo33bo2\$6171bo33bo2\$6188bo\$6188bo\$6188bo33\$6187bobo30\$
6188bo\$6187b3o\$6187b3o12\$6184bo7bo\$6184bo7bo\$6184bo2b3o2bo11\$6162bo51b
o2\$6162bo51bo22\$6187bobo10\$6155b2o63b2o\$6154b4o61b4o\$6155b2o63b2o5\$
6187b3o3\$6187b3o\$6187b3o18\$6165bobo41bobo\$6182bo11bo\$6181bo13bo33\$
6162bo51bo\$6161bo53bo37\$6162bo51bo\$6163bo49bo62\$6185bo5bo\$6184bo7bo37\$
6188bo\$6188bo\$6188bo13\$6188bo2\$6172bo15bo15bo\$6171bo16bo16bo2\$6188bo
52\$6187bobo11\$6176bo23bo\$6177bo21bo13\$6188bo\$6188bo\$6188bo15\$6187bobo
17\$6179bobo13bobo27\$6187b3o49\$6188bo\$6188bo\$6188bo10\$6188bo\$6188bo\$
6188bo32\$6187b3o50\$6187bobo9\$6187b3o\$6187b3o\$6188bo12\$6167bo18b5o18bo\$
6166bo19b5o19bo8\$6187bobo16\$6168bo39bo\$6168bo39bo\$6168bo39bo19\$6187b3o
27\$6188bo\$6187b3o\$6187b3o30\$6187b3o\$6149bo37b3o37bo\$6148bo79bo6\$6154b
3o63b3o15\$6162bo51bo2\$6162bo51bo7\$6188bo\$6188bo\$6188bo20\$6187bobo23\$
6187b3o11\$6187b3o8\$6155b3o61b3o3\$6187b3o\$6187b3o5\$6187b3o\$6187b3o12\$
6188bo2\$6188bo11\$6188bo\$6188bo\$6185bo2bo2bo\$6185bo5bo\$6187b3o\$6154b3o
28bo5bo28b3o\$6185bo2bo2bo\$6188bo\$6188bo42\$6187b3o4\$6162bo51bo\$6161bo
53bo36\$6188bo\$6188bo\$6188bo5\$6187bobo6\$6187b3o7\$6188bo2\$6159bo28bo28bo
\$6160bo55bo14\$6187b3o\$6187b3o\$6188bo11\$6146b2o81b2o\$6146b2o81b2o\$6187b
3o3\$6187b3o5\$6188bo\$6187b3o\$6187b3o16\$6164bo47bo\$6163bo49bo4\$6173bo29b
o\$6172bo31bo61\$6165bo45bo\$6164bo47bo55\$6172bo31bo\$6171bo15bobo15bo22\$
6187bobo14\$6138bobo95bobo3\$6159bo57bo\$6160bo55bo33\$6144b3o83b3o\$6144b
3o83b3o\$6167bo41bo\$6168bo39bo\$6176bo23bo\$6175bo12bo12bo\$6187b3o\$6187b
3o\$6188bo40\$6184bo7bo\$6185bo5bo3\$6144b3o83b3o25\$6185bo5bo\$6184bo7bo4\$
6188bo\$6188bo\$6188bo21\$6187bobo52\$6187b3o\$6187b3o9\$6187b3o6\$6188bo2\$
6188bo6\$6167bo41bo\$6166bo43bo19\$6187b3o9\$6174bobo23bobo9\$6188bo\$6188bo
\$6188bo7\$6188bo\$6188bo\$6188bo3\$6181bo13bo\$6182bo11bo12\$6187bobo16\$
6188bo\$6188bo\$6188bo24\$6147bobo77bobo37\$6179bo17bo\$6180bo15bo14\$6187b
3o\$6187b3o8\$6187b3o\$6187b3o5\$6188bo2\$6188bo15\$6161bo53bo\$6161bo53bo\$
6161bo53bo5\$6138b3o95b3o21\$6187bobo20\$6184bo7bo\$6185bo5bo73\$6188bo\$
6188bo\$6188bo2\$6169bo37bo\$6168bo39bo9\$6167bo41bo\$6168bo39bo44\$6187b3o
48\$6165bo45bo\$6166bo43bo3\$6188bo\$6187b3o\$6187b3o\$6188bo\$6188bo2\$6188bo
8\$6164bo47bo\$6163bo49bo5\$6144bo87bo\$6145bo85bo39\$6162bo51bo\$6161bo53bo
8\$6187bobo39\$6187bobo11\$6188bo2\$6188bo\$6171bo33bo\$6172bo31bo21\$6188bo\$
6188bo\$6188bo4\$6187b3o5\$6182bo11bo\$6181bo13bo28\$6180bo15bo\$6181bo13bo
3\$6188bo2\$6188bo3\$6187b3o26\$6170bo35bo\$6169bo37bo3\$6188bo2\$6188bo11\$
6187bobo19\$6187b3o\$6187b3o4\$6141bo93bo\$6140b3o91b3o\$6140b3o91b3o\$6141b
o93bo10\$6132bo111bo\$6131bo5bo101bo5bo2\$6137bo101bo26\$6187bobo\$6127bo
121bo\$6128bo119bo13\$6188bo2\$6188bo23\$6188bo\$6188bo\$6188bo20\$6183bobo5b
obo9\$6170bo35bo\$6170bo35bo\$6170bo35bo\$6187b3o24\$6188bo\$6188bo\$6188bo\$
6159bo57bo\$6160bo55bo\$6170bo35bo\$6169bo37bo2\$6188bo2\$6188bo3\$6188bo\$
6188bo\$6188bo12\$6187b3o\$6187b3o3\$6187b3o24\$6173b2o27b2o\$6172bo2bo25bo
2bo4\$6175b2o23b2o\$6174b4o21b4o\$6175b2o23b2o35\$6188bo\$6188bo\$6188bo16\$
6161bo53bo\$6160bo55bo2\$6187b3o18\$6171bo15b3o15bo\$6172bo14b3o14bo16\$
6188bo2\$6188bo\$6188bo\$6188bo2\$6188bo21\$6188bo2\$6188bo18\$6141bo93bo\$
6140bo95bo10\$6187b3o3\$6172bo31bo\$6171bo33bo39\$6188bo2\$6188bo30\$6188bo
2\$6188bo\$6188bo\$6187b3o\$6187b3o\$6188bo6\$6143bo44bo44bo\$6188bo\$6143bo
44bo44bo14\$6151bo73bo\$6151bo73bo\$6151bo73bo4\$6188bo\$6188bo\$6188bo20\$
6180bo15bo\$6181bo13bo3\$6187b3o14\$6188bo\$6187b3o\$6187b3o\$6188bo\$6188bo
2\$6188bo24\$6172bo31bo\$6173bo29bo\$6154bo67bo\$6155bo65bo20\$6187b3o4\$
6181bo13bo\$6180b3o11b3o\$6180b3o11b3o\$6181bo13bo2\$6188bo2\$6154bo33bo33b
o\$6155bo65bo9\$6184bo7bo\$6185bo5bo4\$6188bo2\$6188bo11\$6147bo81bo\$6147bo
81bo\$6147bo81bo9\$6188bo\$6188bo\$6188bo24\$6171bo33bo\$6170bo35bo3\$6155b2o
63b2o\$6155b2o63b2o\$6155b2o63b2o8\$6148bo38bobo38bo\$6149bo77bo5\$6183b3o
5b3o3\$6187b3o\$6187b3o4\$6188bo\$6188bo\$6188bo16\$6188bo\$6188bo\$6188bo4\$
6150b2o73b2o\$6150b2o73b2o\$6187bobo27\$6188bo\$6187b3o\$6187b3o\$6188bo2\$
6132b2o109b2o\$6131b3o109b3o\$6132b2o109b2o20\$6187bobo21\$6188bo2\$6188bo
6\$6187bobo9\$6187b3o\$6187b3o27\$6126bo123bo\$6125bo125bo4\$6142bo45bo45bo\$
6141bo93bo\$6188bo11\$6188bo\$6188bo\$6188bo19\$6188bo\$6188bo\$6188bo6\$6188b
o\$6188bo\$6188bo19\$6188bo2\$6188bo2\$6150bo75bo\$6151bo73bo24\$6187b3o\$
6186b5o\$6186b5o3\$6188bo2\$6188bo6\$6140bo95bo\$6139bo97bo12\$6129b3o113b3o
\$6129b3o113b3o13\$6188bo2\$6188bo13\$6188bo\$6188bo\$6188bo13\$6187b3o5\$
6187b3o\$6187b3o\$6125bo62bo62bo\$6124bo127bo10\$6187bobo12\$6179b2o15b2o\$
6179b2o15b2o7\$6188bo\$6188bo\$6188bo16\$6158bo59bo\$6159bo57bo7\$6187b3o12\$
6188bo\$6188bo\$6188bo4\$6188bo\$6187b3o\$6187b3o\$6188bo\$6188bo2\$6188bo5\$
6187b3o\$6187b3o27\$6187b3o\$6187b3o\$6188bo\$6188bo\$6187b3o\$6187b3o\$6188bo
3\$6188bo\$6187b3o\$6153b2o32b3o32b2o\$6153b2o33bo33b2o\$6188bo\$6187b3o\$
6187b3o6\$6188bo\$6188bo\$6188bo\$6134bo107bo\$6135bo105bo\$6169bo37bo\$6170b
o35bo2\$6181bo13bo\$6180bo15bo29\$6141bo93bo\$6142bo91bo4\$6187bobo2\$6175bo
25bo\$6174bo27bo8\$6188bo\$6187b3o\$6187b3o\$6188bo\$6188bo2\$6188bo16\$6187b
3o\$6186b5o\$6186b5o\$6187b3o\$6188bo9\$6187b3o\$6187b3o\$6188bo3\$6176bobo19b
obo10\$6188bo\$6187b3o\$6187b3o\$6188bo7\$6187bobo45\$6179bo17bo\$6180bo15bo
22\$6188bo\$6188bo\$6188bo10\$6188bo\$6163bo24bo24bo\$6162bo25bo25bo35\$6188b
o\$6187b3o\$6187b3o\$6188bo19\$6187b3o5\$6160bo26bobo26bo\$6161bo53bo8\$6187b
3o8\$6152bo71bo\$6152bo71bo\$6152bo71bo33\$6179bo17bo2\$6179bo17bo18\$6140b
2o93b2o\$6140b2o93b2o\$6187b3o16\$6188bo\$6188bo\$6188bo19\$6188bo\$6186b5o\$
6186b5o\$6188bo38\$6187bobo3\$3701bo4973bo\$3700bo4975bo11\$6095b2o183b2o\$
6095b2o183b2o\$6095b2o183b2o14\$6187b3o9\$6187bobo8\$6187b3o\$6187b3o3\$
6187b3o\$6130bo115bo\$6129bo117bo9\$6114b2o145b2o\$6113b4o143b4o\$6114b2o
145b2o\$6134bo39bobo23bobo39bo\$6133bo109bo2\$6148bo79bo\$6147bo81bo15\$
6180bo15bo\$6179bo17bo4\$6161bo53bo\$6160bo23bo7bo23bo\$6134bo48bo9bo48bo\$
6135bo105bo11\$6147bo81bo\$6146bo83bo13\$6187b3o\$6187b3o36\$6182bobo7bobo
11\$6167bo41bo\$6168bo39bo\$6187b3o\$6187b3o6\$6163bo49bo\$6164bo47bo16\$
6165bobo41bobo4\$6177bo21bo\$6176bo23bo10\$6174bo27bo2\$6174bo27bo13\$6188b
o\$6187b3o\$6187b3o\$6188bo5\$6142bo6bo77bo6bo\$6143bo6bo75bo6bo20\$6187bobo
10\$6178bo19bo\$6179bo17bo\$6161bo53bo\$6162bo51bo4\$3965bo4445bo\$3966bo
4443bo4\$6132bo111bo\$6133bo109bo\$6127bo121bo\$6126bo123bo7\$6158bo59bo\$
6159bo57bo13\$6180bo15bo\$6181bo13bo22\$6187b3o5\$6187b3o\$6176bo23bo\$6177b
o21bo5\$4030bo4315bo\$4029bo4317bo15\$6188bo\$6188bo\$6188bo36\$6136bo103bo\$
6135bo105bo15\$6142bo91bo\$6143bo89bo4\$6132b3o107b3o38\$6188bo2\$6188bo\$
6188bo2\$6188bo11\$6188bo\$6187b3o\$6187b3o7\$6187b3o5\$6149bo77bo\$6148bo79b
o48\$6148bo79bo\$6147bo8b3o59b3o8bo8\$6187b3o\$6165bo45bo\$6166bo43bo5\$
6187bobo17\$6187bobo7\$6124bo127bo2\$6124bo127bo3\$6171bo33bo\$6170bo35bo3\$
6187b3o\$6187b3o11\$6188bo\$6188bo\$6188bo9\$6128bo119bo\$6128bo119bo\$6128bo
119bo6\$6188bo2\$6188bo9\$6152bo71bo\$6151bo73bo5\$6188bo\$6187b3o\$6187b3o\$
6188bo7\$6138b3o95b3o7\$6187bobo8\$4344bo3687bo\$4343bo1843bobo1843bo18\$
6148bo38b3o38bo\$6149bo77bo7\$6188bo\$6188bo\$6188bo3\$6135bo105bo\$6134bo
107bo10\$6186bobobo\$6186bo3bo\$6186bobobo13\$6150bo75bo\$6149bo77bo14\$
6187b3o\$6187b3o18\$6153bo69bo\$6153bo69bo\$6153bo69bo18\$6187b3o\$6187b3o8\$
6110bo155bo\$6109bo157bo13\$6114bo147bo\$6115bo145bo4\$6147bo81bo\$6146bo
83bo10\$6187b3o6\$6143bo89bo2\$6143bo89bo32\$6187b3o40\$6150bo75bo\$6151bo
73bo2\$6148bo79bo\$6135bobo10bo79bo10bobo\$6148bo79bo11\$6188bo\$6188bo\$
6188bo3\$6121bo133bo\$6120bo135bo4\$6148bo79bo\$6149bo77bo22\$5319bobo1733b
obo\$5328bo1719bo\$5329bo1717bo5\$6187b3o\$6186b5o\$6187b3o12\$4644bo3087bo\$
4645bo3085bo11\$6161b3o49b3o8\$6163bo49bo\$6164bo47bo6\$6188bo2\$5329bo858b
o858bo\$5328bo834bo49bo834bo\$6164bo47bo4\$6187bobo20\$6188bo2\$6188bo14\$
6188bo\$6188bo\$6188bo19\$6136bo103bo\$6137bo101bo2\$5323bo1729bo\$5322bo
1731bo14\$5340bo1695bo\$5340bo1695bo\$5340bo1695bo4\$6131bobo109bobo\$5324b
3o1723b3o\$5324b3o1723b3o2\$6188bo\$6188bo\$6188bo3\$6187bobo10\$6132bo111bo
\$6131bo45bo21bo45bo\$6178bo19bo13\$5318b3o9b3o855bo855b3o9b3o\$6187b3o\$
6187b3o6\$6182bobo7bobo13\$6143b3o85b3o6\$6188bo\$6188bo\$6188bo4\$6166bobo
39bobo2\$5360bo1655bo\$5359bo1657bo\$5299bo25bo1725bo25bo\$5298bo26bo1725b
o26bo\$5325bo1725bo4\$6188bo\$5324b3o29bo1663bo29b3o\$5357bo830bo830bo3\$
6142bo91bo\$5324b3o815bo91bo815b3o\$5292bo31b3o815bo91bo815b3o31bo\$5293b
o31bo1725bo31bo\$6188bo\$6144bo43bo43bo\$6144bo43bo43bo\$6144bo87bo6\$6157b
o61bo\$6098bo57bo63bo57bo\$6099bo177bo18\$6168bo39bo\$6167bo41bo9\$5308bobo
1755bobo27\$5331bo1713bo\$5331bo1713bo\$5331bo830bo51bo830bo2\$6162bo51bo
3\$5343bo787bo113bo787bo\$5342bo788bo113bo788bo\$6131bo113bo3\$6187bobo3\$
6175b3o21b3o7\$6187bobo5\$5285bobo23bo51bobo1645bobo51bo23bobo\$5312bo
1751bo6\$6156bo63bo\$6156bo63bo\$6156bo63bo\$6188bo2\$6188bo3\$6188bo\$6188bo
\$6188bo9\$6151bo35b3o35bo\$6152bo71bo4\$5299bo1777bo\$5300bo51b2o1669b2o
51bo\$5339bobo9bo2bo1667bo2bo9bobo2\$5351bo1673bo20\$5320bo1735bo\$5321bo
865bobo865bo10\$5337bo1701bo\$5338bo1699bo9\$5311bo1753bo\$5312bo1751bo30\$
6143bo89bo\$6144bo87bo3\$6187b3o24\$5083bo483bo1241bo483bo\$5084bo481bo
1243bo481bo\$5335bo1705bo2\$5335bo1705bo2\$5579bo1217bo\$5580bo1215bo2\$
5074bo2227bo\$5075bo245bo1733bo245bo\$5322bo1731bo\$6187b3o\$5103bo2169bo\$
5102bo2171bo8\$5332bo855bo855bo\$5332bo1711bo\$5332bo855bo855bo2\$6130bo
115bo\$6129bo117bo\$5088bo2199bo\$5087bo2201bo14\$5117b2o432bo1273bo432b2o
\$5117b2o412bo18bo1275bo18bo412b2o\$5532bo1311bo3\$5528bo1319bo\$5527bo
1321bo4\$6129bo117bo\$6128bo119bo3\$6171bo33bo\$5524bo645bo35bo645bo2\$
5524bo1327bo3\$5517b2o1339b2o\$5517b2o1339b2o\$5451b2o64b2o668bobo668b2o
64b2o\$5204bo94b2o150b2o1471b2o150b2o94bo\$5203bo94b4o149b2o1471b2o149b
4o94bo\$5298b4o1773b4o\$5299b2o1775b2o2\$6157bo61bo\$6140bo17bo59bo17bo\$
6139bo97bo6\$6187b3o\$6187b3o8\$5337bo170bo1359bo170bo\$5337bobo169bo1357b
o169bobo\$5337b2o759bo179bo759b2o\$5338bo760bo177bo760bo\$5321bo17bo778bo
139bo778bo17bo\$5322bo794bo141bo794bo2\$5461bo1453bo\$5462bo1451bo5\$6187b
3o\$5476bo1423bo\$5475bo1425bo6\$5234bo181bo1543bo181bo\$5233bo183bo1541bo
183bo7\$5239b3o1893b3o4\$5246bo1883bo\$5245bo1885bo2\$5316bo1743bo\$5317bo
1741bo3\$5293bo1789bo\$5141bo152bo1787bo152bo\$5140bo2095bo\$5259bo875bobo
101bobo875bo\$5258bo43bo12bo1745bo12bo43bo\$5314bo1747bo\$5302bo87bobo
120b3o1345b3o120bobo87bo4\$5447bo1481bo\$5448bo1479bo5\$5448bo1479bo2\$
5313bobo132bo1479bo132bobo11\$5246bo146bo1589bo146bo\$5392bo1591bo\$5184b
o61bo1883bo61bo\$5183bo2009bo5\$5191bo1993bo\$5191bo1993bo\$5191bo966bo59b
o966bo\$6157bo61bo3\$5196bo1983bo\$5195bo35bobo1909bobo35bo5\$5300bo79bo
1615bo79bo\$5381bo1613bo\$5300bo1775bo2\$6128bobo115bobo3\$5206bo1963bo\$
5205bo1965bo4\$5273bo1829bo\$5274bo1827bo4\$5397bo789b3o789bo\$5398bo1579b
o4\$5263bo1849bo\$5264bo1847bo3\$5393bo1589bo\$5394bo1587bo7\$4939bo699bo
71bo953bo71bo699bo\$5635bo4bo1095bo4bo\$4939bo696bo74bo953bo74bo696bo3\$
5701b3o14bo939bo14b3o\$5296bo422bo937bo422bo\$4844bo2687bo\$4845bo356bo
93bo1783bo93bo356bo\$5203bo482bobo999bobo482bo\$5334bo1707bo\$5291bobo21b
o19bo1705bo19bo21bobo\$5316bo1743bo\$4832bo308b2o2091b2o308bo\$4831bo138b
o169b4o1016b2o53b2o1016b4o169bo138bo\$4971bo168b4o107bobo906b2o26bo26b
2o906bobo107b4o168bo\$5141b2o2091b2o\$5206bobo979bo979bobo5\$5317bo1741bo
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4920bo501bo1531bo501bo\$4972bo450bo1529bo450bo\$4754b3o718bo711b3o711bo
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1605bo219b2o157bo\$5005bo156b3o221bo1603bo221b3o156bo2\$5076bobo217bo
1783bo217bobo\$5295bo1785bo2\$4794bo301b3o216bo1745bo216b3o301bo\$4794bo
117b3o399bo1747bo399b3o117bo\$4794bo2787bo\$4625bo47bo3029bo47bo\$4624bo
49bo3027bo49bo2\$4761b2o75bo4b2o2687b2o4bo75b2o\$4761b2o68b3o4bo4b3o521b
o666bobo303bobo666bo521b3o4bo4b3o68b2o\$4761b2o75bo4b2o523bo1639bo523b
2o4bo75b2o\$4739bo2897bo\$4740bo344bo81bo2041bo81bo344bo\$4623bo371bo88bo
81bo1021bo1021bo81bo88bo371bo\$4794bo199bo1192b3o1192bo199bo\$4623bo170b
o1392b3o1392bo170bo\$4794bo1393bo1393bo\$5199bo107bo1761bo107bo\$5198bo
98bo10bo1759bo10bo98bo\$5206bo13bo75bo35bo423bo863bo423bo35bo75bo13bo\$
5207bo123bo423bo865bo423bo123bo\$5220bo1935bo\$4940bo75bo356bo1629bo356b
o75bo\$4939bo75bo356bo814b3o814bo356bo75bo\$4885bo1301b3o1301bo\$5403bo
231b3o238b3o619b3o238b3o231bo\$4885bo430bo85bo1571bo85bo430bo\$5317bo
1741bo5\$5206bobo979bo979bobo\$5141b2o2091b2o\$4971bo168b4o107bobo906b2o
26bo26b2o906bobo107b4o168bo\$4831bo138bo169b4o1016b2o53b2o1016b4o169bo
138bo\$4832bo308b2o2091b2o308bo\$5316bo1743bo\$5291bobo21bo19bo1705bo19bo
21bobo\$5334bo1707bo\$5203bo482bobo999bobo482bo\$4845bo356bo93bo1783bo93b
o356bo\$4844bo2687bo\$5296bo422bo937bo422bo\$5701b3o14bo939bo14b3o3\$4939b
o696bo74bo953bo74bo696bo\$5635bo4bo1095bo4bo\$4939bo699bo71bo953bo71bo
699bo7\$5394bo1587bo\$5393bo1589bo3\$5264bo1847bo\$5263bo1849bo4\$5398bo
1579bo\$5397bo789b3o789bo4\$5274bo1827bo\$5273bo1829bo4\$5205bo1965bo\$
5206bo1963bo3\$6128bobo115bobo2\$5300bo1775bo\$5381bo1613bo\$5300bo79bo
1615bo79bo5\$5195bo35bobo1909bobo35bo\$5196bo1983bo3\$6157bo61bo\$5191bo
966bo59bo966bo\$5191bo1993bo\$5191bo1993bo5\$5183bo2009bo\$5184bo61bo1883b
o61bo\$5392bo1591bo\$5246bo146bo1589bo146bo11\$5313bobo132bo1479bo132bobo
2\$5448bo1479bo5\$5448bo1479bo\$5447bo1481bo4\$5302bo87bobo120b3o1345b3o
120bobo87bo\$5314bo1747bo\$5258bo43bo12bo1745bo12bo43bo\$5259bo875bobo
101bobo875bo\$5140bo2095bo\$5141bo152bo1787bo152bo\$5293bo1789bo3\$5317bo
1741bo\$5316bo1743bo2\$5245bo1885bo\$5246bo1883bo4\$5239b3o1893b3o7\$5233bo
183bo1541bo183bo\$5234bo181bo1543bo181bo6\$5475bo1425bo\$5476bo1423bo\$
6187b3o5\$5462bo1451bo\$5461bo1453bo2\$5322bo794bo141bo794bo\$5321bo17bo
778bo139bo778bo17bo\$5338bo760bo177bo760bo\$5337b2o759bo179bo759b2o\$
5337bobo169bo1357bo169bobo\$5337bo170bo1359bo170bo8\$6187b3o\$6187b3o6\$
6139bo97bo\$6140bo17bo59bo17bo\$6157bo61bo2\$5299b2o1775b2o\$5298b4o1773b
4o\$5203bo94b4o149b2o1471b2o149b4o94bo\$5204bo94b2o150b2o1471b2o150b2o
94bo\$5451b2o64b2o668bobo668b2o64b2o\$5517b2o1339b2o\$5517b2o1339b2o3\$
5524bo1327bo2\$5524bo645bo35bo645bo\$6171bo33bo3\$6128bo119bo\$6129bo117bo
4\$5527bo1321bo\$5528bo1319bo3\$5532bo1311bo\$5117b2o412bo18bo1275bo18bo
412b2o\$5117b2o432bo1273bo432b2o14\$5087bo2201bo\$5088bo2199bo\$6129bo117b
o\$6130bo115bo2\$5332bo855bo855bo\$5332bo1711bo\$5332bo855bo855bo8\$5102bo
2171bo\$5103bo2169bo\$6187b3o\$5322bo1731bo\$5075bo245bo1733bo245bo\$5074bo
2227bo2\$5580bo1215bo\$5579bo1217bo2\$5335bo1705bo2\$5335bo1705bo\$5084bo
481bo1243bo481bo\$5083bo483bo1241bo483bo24\$6187b3o3\$6144bo87bo\$6143bo
89bo30\$5312bo1751bo\$5311bo1753bo9\$5338bo1699bo\$5337bo1701bo10\$5321bo
865bobo865bo\$5320bo1735bo20\$5351bo1673bo2\$5339bobo9bo2bo1667bo2bo9bobo
\$5300bo51b2o1669b2o51bo\$5299bo1777bo4\$6152bo71bo\$6151bo35b3o35bo9\$
6188bo\$6188bo\$6188bo3\$6188bo2\$6188bo\$6156bo63bo\$6156bo63bo\$6156bo63bo
6\$5312bo1751bo\$5285bobo23bo51bobo1645bobo51bo23bobo5\$6187bobo7\$6175b3o
21b3o3\$6187bobo3\$6131bo113bo\$5342bo788bo113bo788bo\$5343bo787bo113bo
787bo3\$6162bo51bo2\$5331bo830bo51bo830bo\$5331bo1713bo\$5331bo1713bo27\$
5308bobo1755bobo9\$6167bo41bo\$6168bo39bo18\$6099bo177bo\$6098bo57bo63bo
57bo\$6157bo61bo6\$6144bo87bo\$6144bo43bo43bo\$6144bo43bo43bo\$6188bo\$5293b
o31bo1725bo31bo\$5292bo31b3o815bo91bo815b3o31bo\$5324b3o815bo91bo815b3o\$
6142bo91bo3\$5357bo830bo830bo\$5324b3o29bo1663bo29b3o\$6188bo4\$5325bo
1725bo\$5298bo26bo1725bo26bo\$5299bo25bo1725bo25bo\$5359bo1657bo\$5360bo
1655bo2\$6166bobo39bobo4\$6188bo\$6188bo\$6188bo6\$6143b3o85b3o13\$6182bobo
7bobo6\$6187b3o\$6187b3o\$5318b3o9b3o855bo855b3o9b3o13\$6178bo19bo\$6131bo
45bo21bo45bo\$6132bo111bo10\$6187bobo3\$6188bo\$6188bo\$6188bo2\$5324b3o
1723b3o\$5324b3o1723b3o\$6131bobo109bobo4\$5340bo1695bo\$5340bo1695bo\$
5340bo1695bo14\$5322bo1731bo\$5323bo1729bo2\$6137bo101bo\$6136bo103bo19\$
6188bo\$6188bo\$6188bo14\$6188bo2\$6188bo20\$6187bobo4\$6164bo47bo\$5328bo
834bo49bo834bo\$5329bo858bo858bo2\$6188bo6\$6164bo47bo\$6163bo49bo8\$6161b
3o49b3o11\$4645bo3085bo\$4644bo3087bo12\$6187b3o\$6186b5o\$6187b3o5\$5329bo
1717bo\$5328bo1719bo\$5319bobo1733bobo22\$6149bo77bo\$6148bo79bo4\$6120bo
135bo\$6121bo133bo3\$6188bo\$6188bo\$6188bo11\$6148bo79bo\$6135bobo10bo79bo
10bobo\$6148bo79bo2\$6151bo73bo\$6150bo75bo40\$6187b3o32\$6143bo89bo2\$6143b
o89bo6\$6187b3o10\$6146bo83bo\$6147bo81bo4\$6115bo145bo\$6114bo147bo13\$
6109bo157bo\$6110bo155bo8\$6187b3o\$6187b3o18\$6153bo69bo\$6153bo69bo\$6153b
o69bo18\$6187b3o\$6187b3o14\$6149bo77bo\$6150bo75bo13\$6186bobobo\$6186bo3bo
\$6186bobobo10\$6134bo107bo\$6135bo105bo3\$6188bo\$6188bo\$6188bo7\$6149bo77b
o\$6148bo38b3o38bo18\$4343bo1843bobo1843bo\$4344bo3687bo8\$6187bobo7\$6138b
3o95b3o7\$6188bo\$6187b3o\$6187b3o\$6188bo5\$6151bo73bo\$6152bo71bo9\$6188bo
2\$6188bo6\$6128bo119bo\$6128bo119bo\$6128bo119bo9\$6188bo\$6188bo\$6188bo11\$
6187b3o\$6187b3o3\$6170bo35bo\$6171bo33bo3\$6124bo127bo2\$6124bo127bo7\$
6187bobo17\$6187bobo5\$6166bo43bo\$6165bo45bo\$6187b3o8\$6147bo8b3o59b3o8bo
\$6148bo79bo48\$6148bo79bo\$6149bo77bo5\$6187b3o7\$6187b3o\$6187b3o\$6188bo
11\$6188bo2\$6188bo\$6188bo2\$6188bo38\$6132b3o107b3o4\$6143bo89bo\$6142bo91b
o15\$6135bo105bo\$6136bo103bo36\$6188bo\$6188bo\$6188bo15\$4029bo4317bo\$
4030bo4315bo5\$6177bo21bo\$6176bo23bo\$6187b3o5\$6187b3o22\$6181bo13bo\$
6180bo15bo13\$6159bo57bo\$6158bo59bo7\$6126bo123bo\$6127bo121bo\$6133bo109b
o\$6132bo111bo4\$3966bo4443bo\$3965bo4445bo4\$6162bo51bo\$6161bo53bo\$6179bo
17bo\$6178bo19bo10\$6187bobo20\$6143bo6bo75bo6bo\$6142bo6bo77bo6bo5\$6188bo
\$6187b3o\$6187b3o\$6188bo13\$6174bo27bo2\$6174bo27bo10\$6176bo23bo\$6177bo
21bo4\$6165bobo41bobo16\$6164bo47bo\$6163bo49bo6\$6187b3o\$6187b3o\$6168bo
39bo\$6167bo41bo11\$6182bobo7bobo36\$6187b3o\$6187b3o13\$6146bo83bo\$6147bo
81bo11\$6135bo105bo\$6134bo48bo9bo48bo\$6160bo23bo7bo23bo\$6161bo53bo4\$
6179bo17bo\$6180bo15bo15\$6147bo81bo\$6148bo79bo2\$6133bo109bo\$6134bo39bob
o23bobo39bo\$6114b2o145b2o\$6113b4o143b4o\$6114b2o145b2o9\$6129bo117bo\$
6130bo115bo\$6187b3o3\$6187b3o\$6187b3o8\$6187bobo9\$6187b3o14\$6095b2o183b
2o\$6095b2o183b2o\$6095b2o183b2o11\$3700bo4975bo\$3701bo4973bo3\$6187bobo
38\$6188bo\$6186b5o\$6186b5o\$6188bo19\$6188bo\$6188bo\$6188bo16\$6187b3o\$
6140b2o93b2o\$6140b2o93b2o18\$6179bo17bo2\$6179bo17bo33\$6152bo71bo\$6152bo
71bo\$6152bo71bo8\$6187b3o8\$6161bo53bo\$6160bo26bobo26bo5\$6187b3o19\$6188b
o\$6187b3o\$6187b3o\$6188bo35\$6162bo25bo25bo\$6163bo24bo24bo\$6188bo10\$
6188bo\$6188bo\$6188bo22\$6180bo15bo\$6179bo17bo45\$6187bobo7\$6188bo\$6187b
3o\$6187b3o\$6188bo10\$6176bobo19bobo3\$6188bo\$6187b3o\$6187b3o9\$6188bo\$
6187b3o\$6186b5o\$6186b5o\$6187b3o16\$6188bo2\$6188bo\$6188bo\$6187b3o\$6187b
3o\$6188bo8\$6174bo27bo\$6175bo25bo2\$6187bobo4\$6142bo91bo\$6141bo93bo29\$
6180bo15bo\$6181bo13bo2\$6170bo35bo\$6169bo37bo\$6135bo105bo\$6134bo107bo\$
6188bo\$6188bo\$6188bo6\$6187b3o\$6187b3o\$6188bo\$6153b2o33bo33b2o\$6153b2o
32b3o32b2o\$6187b3o\$6188bo3\$6188bo\$6187b3o\$6187b3o\$6188bo\$6188bo\$6187b
3o\$6187b3o27\$6187b3o\$6187b3o5\$6188bo2\$6188bo\$6188bo\$6187b3o\$6187b3o\$
6188bo4\$6188bo\$6188bo\$6188bo12\$6187b3o7\$6159bo57bo\$6158bo59bo16\$6188bo
\$6188bo\$6188bo7\$6179b2o15b2o\$6179b2o15b2o12\$6187bobo10\$6124bo127bo\$
6125bo62bo62bo\$6187b3o\$6187b3o5\$6187b3o13\$6188bo\$6188bo\$6188bo13\$6188b
o2\$6188bo13\$6129b3o113b3o\$6129b3o113b3o12\$6139bo97bo\$6140bo95bo6\$6188b
o2\$6188bo3\$6186b5o\$6186b5o\$6187b3o24\$6151bo73bo\$6150bo75bo2\$6188bo2\$
6188bo19\$6188bo\$6188bo\$6188bo6\$6188bo\$6188bo\$6188bo19\$6188bo\$6188bo\$
6188bo11\$6188bo\$6141bo93bo\$6142bo45bo45bo4\$6125bo125bo\$6126bo123bo27\$
6187b3o\$6187b3o9\$6187bobo6\$6188bo2\$6188bo21\$6187bobo20\$6132b2o109b2o\$
6131b3o109b3o\$6132b2o109b2o2\$6188bo\$6187b3o\$6187b3o\$6188bo27\$6187bobo\$
6150b2o73b2o\$6150b2o73b2o4\$6188bo\$6188bo\$6188bo16\$6188bo\$6188bo\$6188bo
4\$6187b3o\$6187b3o3\$6183b3o5b3o5\$6149bo77bo\$6148bo38bobo38bo8\$6155b2o
63b2o\$6155b2o63b2o\$6155b2o63b2o3\$6170bo35bo\$6171bo33bo24\$6188bo\$6188bo
\$6188bo9\$6147bo81bo\$6147bo81bo\$6147bo81bo11\$6188bo2\$6188bo4\$6185bo5bo\$
6184bo7bo9\$6155bo65bo\$6154bo33bo33bo2\$6188bo2\$6181bo13bo\$6180b3o11b3o\$
6180b3o11b3o\$6181bo13bo4\$6187b3o20\$6155bo65bo\$6154bo67bo\$6173bo29bo\$
6172bo31bo24\$6188bo2\$6188bo\$6188bo\$6187b3o\$6187b3o\$6188bo14\$6187b3o3\$
6181bo13bo\$6180bo15bo20\$6188bo\$6188bo\$6188bo4\$6151bo73bo\$6151bo73bo\$
6151bo73bo14\$6143bo44bo44bo\$6188bo\$6143bo44bo44bo6\$6188bo\$6187b3o\$
6187b3o\$6188bo\$6188bo2\$6188bo30\$6188bo2\$6188bo39\$6171bo33bo\$6172bo31bo
3\$6187b3o10\$6140bo95bo\$6141bo93bo18\$6188bo2\$6188bo21\$6188bo2\$6188bo\$
6188bo\$6188bo2\$6188bo16\$6172bo14b3o14bo\$6171bo15b3o15bo18\$6187b3o2\$
6160bo55bo\$6161bo53bo16\$6188bo\$6188bo\$6188bo35\$6175b2o23b2o\$6174b4o21b
4o\$6175b2o23b2o4\$6172bo2bo25bo2bo\$6173b2o27b2o24\$6187b3o3\$6187b3o\$
6187b3o12\$6188bo\$6188bo\$6188bo3\$6188bo2\$6188bo2\$6169bo37bo\$6170bo35bo\$
6160bo55bo\$6159bo57bo\$6188bo\$6188bo\$6188bo24\$6187b3o\$6170bo35bo\$6170bo
35bo\$6170bo35bo9\$6183bobo5bobo20\$6188bo\$6188bo\$6188bo23\$6188bo2\$6188bo
13\$6128bo119bo\$6127bo121bo\$6187bobo26\$6137bo101bo2\$6131bo5bo101bo5bo\$
6132bo111bo10\$6141bo93bo\$6140b3o91b3o\$6140b3o91b3o\$6141bo93bo4\$6187b3o
\$6187b3o19\$6187bobo11\$6188bo2\$6188bo3\$6169bo37bo\$6170bo35bo26\$6187b3o
3\$6188bo2\$6188bo3\$6181bo13bo\$6180bo15bo28\$6181bo13bo\$6182bo11bo5\$6187b
3o4\$6188bo\$6188bo\$6188bo21\$6172bo31bo\$6171bo33bo\$6188bo2\$6188bo11\$
6187bobo39\$6187bobo8\$6161bo53bo\$6162bo51bo39\$6145bo85bo\$6144bo87bo5\$
6163bo49bo\$6164bo47bo8\$6188bo2\$6188bo\$6188bo\$6187b3o\$6187b3o\$6188bo3\$
6166bo43bo\$6165bo45bo48\$6187b3o44\$6168bo39bo\$6167bo41bo9\$6168bo39bo\$
6169bo37bo2\$6188bo\$6188bo\$6188bo73\$6185bo5bo\$6184bo7bo20\$6187bobo21\$
6138b3o95b3o5\$6161bo53bo\$6161bo53bo\$6161bo53bo15\$6188bo2\$6188bo5\$6187b
3o\$6187b3o8\$6187b3o\$6187b3o14\$6180bo15bo\$6179bo17bo37\$6147bobo77bobo
24\$6188bo\$6188bo\$6188bo16\$6187bobo12\$6182bo11bo\$6181bo13bo3\$6188bo\$
6188bo\$6188bo7\$6188bo\$6188bo\$6188bo9\$6174bobo23bobo9\$6187b3o19\$6166bo
43bo\$6167bo41bo6\$6188bo2\$6188bo6\$6187b3o9\$6187b3o\$6187b3o52\$6187bobo
21\$6188bo\$6188bo\$6188bo4\$6184bo7bo\$6185bo5bo25\$6144b3o83b3o3\$6185bo5bo
\$6184bo7bo40\$6188bo\$6187b3o\$6187b3o\$6175bo12bo12bo\$6176bo23bo\$6168bo
39bo\$6167bo41bo\$6144b3o83b3o\$6144b3o83b3o33\$6160bo55bo\$6159bo57bo3\$
6138bobo95bobo14\$6187bobo22\$6171bo15bobo15bo\$6172bo31bo55\$6164bo47bo\$
6165bo45bo61\$6172bo31bo\$6173bo29bo4\$6163bo49bo\$6164bo47bo16\$6187b3o\$
6187b3o\$6188bo5\$6187b3o3\$6187b3o\$6146b2o81b2o\$6146b2o81b2o11\$6188bo\$
6187b3o\$6187b3o14\$6160bo55bo\$6159bo28bo28bo2\$6188bo7\$6187b3o6\$6187bobo
5\$6188bo\$6188bo\$6188bo36\$6161bo53bo\$6162bo51bo4\$6187b3o42\$6188bo\$6188b
o\$6185bo2bo2bo\$6154b3o28bo5bo28b3o\$6187b3o\$6185bo5bo\$6185bo2bo2bo\$
6188bo\$6188bo11\$6188bo2\$6188bo12\$6187b3o\$6187b3o5\$6187b3o\$6187b3o3\$
6155b3o61b3o8\$6187b3o11\$6187b3o23\$6187bobo20\$6188bo\$6188bo\$6188bo7\$
6162bo51bo2\$6162bo51bo15\$6154b3o63b3o6\$6148bo79bo\$6149bo37b3o37bo\$
6187b3o30\$6187b3o\$6187b3o\$6188bo27\$6187b3o19\$6168bo39bo\$6168bo39bo\$
6168bo39bo16\$6187bobo8\$6166bo19b5o19bo\$6167bo18b5o18bo12\$6188bo\$6187b
3o\$6187b3o9\$6187bobo50\$6187b3o32\$6188bo\$6188bo\$6188bo10\$6188bo\$6188bo\$
6188bo49\$6187b3o27\$6179bobo13bobo17\$6187bobo15\$6188bo\$6188bo\$6188bo13\$
6177bo21bo\$6176bo23bo11\$6187bobo52\$6188bo2\$6171bo16bo16bo\$6172bo15bo
15bo2\$6188bo13\$6188bo\$6188bo\$6188bo37\$6184bo7bo\$6185bo5bo62\$6163bo49bo
\$6162bo51bo37\$6161bo53bo\$6162bo51bo33\$6181bo13bo\$6182bo11bo\$6165bobo
41bobo18\$6187b3o\$6187b3o3\$6187b3o5\$6155b2o63b2o\$6154b4o61b4o\$6155b2o
63b2o10\$6187bobo22\$6162bo51bo2\$6162bo51bo11\$6184bo2b3o2bo\$6184bo7bo\$
6184bo7bo12\$6187b3o\$6187b3o\$6188bo30\$6187bobo33\$6188bo\$6188bo\$6188bo2\$
6171bo33bo2\$6171bo33bo12\$6188bo2\$6188bo\$6188bo2\$6173bo14bo14bo\$6172bo
31bo18\$6187bobo10\$6187b3o3\$6187b3o!
``````
(removing escaping gliders)
So this is definitively a new record for MCPS=3. I just need to determine the exact lifespan.

CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

### Re: Smallest long-lived methuselahs

AforAmpere wrote:The top one seems to stabilize at 6,169,725.
How do you run them so fast?

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Smallest long-lived methuselahs

2718281828 wrote: So this is definitively a new record for MCPS=3. I just need to determine the exact lifespan.
Here, we go:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5-jkqr67/S2ce3any4aenyz5ikr6-en7c8
2bo\$bo\$o!``````
L = 273,814,957 for MCPS=3.

Hdjensofjfnen
Posts: 1583
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Smallest long-lived methuselahs

CoolCreeper39 wrote:
AforAmpere wrote:The top one seems to stabilize at 6,169,725.
How do you run them so fast?
If you press + in Golly, the simulation runs faster.

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Smallest long-lived methuselahs

Another promising candidate:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aeiny6ikn7/S2ce3any4acny5-cer6-k7e8
o\$bo\$2bo!
``````
till 15M it looks promising, no ships, but eventually linear growth might appear. However, the verification might take a while..., as the population gets quite high.

Edit1:
This one is amazing, no ships at least until 35M, and it runs fast due a relatively small population:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aein6ikn7/S2ce3any4acny5-ce6-k7e8
o\$bo\$2bo!
``````
This has the potential but is lasts les than 120M.

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Smallest long-lived methuselahs

2718281828 wrote: Edit1:
This one is amazing, no ships at least until 35M, and it runs fast due a relatively small population:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aein6ikn7/S2ce3any4acny5-ce6-k7e8
o\$bo\$2bo!
``````
This has the potential but is lasts les than 120M.
This relative with an additional S4z:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aein6ikn7/S2ce3any4acnyz5-ce6-k7e8
o\$bo\$2bo!
``````
will likely give a new record if we can evaluate it...

It has no ships till around generation 3,000M, and I don't expect any, similarly it seems to have natural linear growth. And most importantly the population is most the time quite low (between 5k and 20k) which allows relatively fast computations with quicklife. Here

Code: Select all

``````x = 899, y = 899, rule = B2-a3-any5aein6ikn7/S2ce3any4acnyz5-ce6-k7e8
4bo889bo\$5bo887bo3\$o4bo887bo4bo\$bo2bo889bo2bo22\$35bo827bo\$34bo829bo6\$
28bo841bo\$27bo843bo29\$118bo661bo2\$118bo661bo2\$68b3o757b3o\$68b3o757b3o\$
68b3o757b3o3\$73b2o749b2o\$73b2o749b2o\$103bo691bo\$104bo689bo27\$75bo130bo
485bo130bo\$76bo129bo242bo242bo129bo\$206bo242bo242bo\$449bo2\$209b3o475b
3o7\$201bo495bo\$202bo493bo\$448bobo\$64bobo765bobo15\$237bo423bo\$236bo425b
o9\$449bo\$449bo\$449bo14\$449bo\$161bo287bo287bo\$160bo288bo288bo3\$164bo
569bo\$165bo567bo\$445bo7bo\$446bo5bo7\$280bo337bo\$279bo339bo11\$300bo297bo
\$299bo299bo3\$448bobo3\$193b2o509b2o\$193b4o505b4o\$194b4o503b4o\$194b3o
505b3o\$195bo507bo\$301bo295bo\$300bo297bo2\$115bo148b3o365b3o148bo\$116bo
665bo4\$103b3o120bo445bo120b3o\$225b3o443b3o\$225b4o45bo349bo45b4o\$108bo
116b3o46bo349bo46b3o116bo\$108bo117bo47bo349bo47bo117bo\$108bo681bo2\$
429bo39bo\$428bo41bo6\$288bo321bo\$289bo5bo110bo85bo110bo5bo\$294b3o305b3o
\$239bo53b5o108bo85bo108b5o53bo\$240bo53b3o305b3o53bo\$207b3o85bo307bo85b
3o\$206b5o477b5o\$207b3o173bo131bo173b3o\$208bo175bo129bo175bo\$297bo303bo
\$298bo301bo5\$449bo\$134bo314bo314bo\$133bo315bo315bo\$318bo261bo\$223bo93b
o263bo93bo\$224bo95bo257bo95bo\$320bo257bo\$321bo255bo3\$250b3o140bo111bo
140b3o\$392bo113bo4\$245bo407bo\$245bo407bo\$245bo407bo3\$448b3o2\$384bo129b
o\$383bo131bo\$389b3o115b3o4\$339bo219bo\$201bo138bo217bo138bo\$201bo495bo\$
201bo247bo247bo\$448b3o\$448b3o6\$208b3o231bo13bo231b3o\$443bo11bo4\$175bo
547bo\$174bo549bo5\$319bo259bo\$320bo257bo\$288bo2bo315bo2bo\$220bo66bo4bo
313bo4bo66bo\$221bo455bo2\$287bo4bo313bo4bo\$288bo2bo315bo2bo\$223bo451bo\$
222b3o449b3o\$221b5o447b5o\$222b3o449b3o\$223bo5bo439bo5bo\$230bo437bo\$
187bo523bo\$186bo12bo499bo12bo\$198bo501bo3\$306bo285bo\$305bobo283bobo\$
304bob2o6bo269bo6b2obo\$305b3o6bobo265bobo6b3o\$310bob2obo267bob2obo\$
310bobo5bo261bo5bobo\$308b5o2b2o265b2o2b5o\$310bobo2bo2bo261bo2bo2bobo\$
308b4o5bo37bo187bo37bo5b4o\$308bo8bo36bo189bo36bo8bo\$306b2o6bo5bobo253b
obo5bo6b2o\$308bob2o3b2obo4b2obo245bob2o4bob2o3b2obo\$307bo2bo4bobo5bo5b
o239bo5bo5bobo4bo2bo\$239bo72b2o2bob2ob2o5b2o239b2o5b2ob2obo2b2o72bo\$
238bo70bobo3bob2o2b2ob2ob2obo117b3o117bob2ob2ob2o2b2obo3bobo70bo\$285bo
31bo3bob2ob3obo37bo161bo37bob3ob2obo3bo31bo\$240b2o44bo27bo5bobob6o39bo
77b5o77bo39b6obobo5bo27bo44b2o\$242bo74b3obo3bo9bobo109b2ob2o109bobo9bo
3bob3o74bo\$314bo2b2obobo4b2o3bo2bob3o105b2o2bo2b2o105b3obo2bo3b2o4bobo
b2o2bo\$315b2o2bo3bo2b5o4bo2bo80bo59bo80bo2bo4b5o2bo3bo2b2o\$315bo2b3o4b
o2bobobo5bob2o76bo30bo30bo76b2obo5bobobo2bo4b3o2bo\$318bob2o2b2ob3obob
4o2b3o215b3o2b4obob3ob2o2b2obo\$315bo3b2o2bo3bobob2ob3ob3ob2o103bo3bo
103b2ob3ob3ob2obobo3bo2b2o3bo\$318b3ob2ob2o4b3o2bob5o213b5obo2b3o4b2ob
2ob3o\$317b4ob4o2bob2ob3o5bo106bobo106bo5b3ob2obo2b4ob4o\$316b2o2bo2bob
2o10b2o2bo4bo102bo102bo4bo2b2o10b2obo2bo2b2o\$318b2o3b2o3bobo2bob4ob4ob
obo100bobo100bobob4ob4obo2bobo3b2o3b2o\$325b4o2b2ob3obobo3bo95bo7bobo7b
o95bo3bobob3ob2o2b4o\$322bobob2o3bo2bo2bobo95bobo10b3o10bobo95bobo2bo2b
o3b2obobo\$325bob2obo2b3o4bo94bo2bo3bo3bob3obo3bo3bo2bo94bo4b3o2bob2obo
\$325b2obo2b5o4bo2bo90bobo2bo8b3o8bo2bobo90bo2bo4b5o2bob2o\$321b3ob2obob
2ob4o4bobo85b2obo2bo3bobo2bobo5bobo2bobo3bo2bob2o85bobo4b4ob2obob2ob3o
\$325b3o2b2o3bo9bo82b2o2bo3bo5bo6bo6bo5bo3bo2b2o82bo9bo3b2o2b3o\$321b2o
6b2obo5b2o3b2o82bob2obo3b2ob2obobob2o3b2obobob2ob2o3bob2obo82b2o3b2o5b
ob2o6b2o\$322b3ob2ob3o5b3o7bo79bo11bo2bo6bo6bo2bo11bo79bo7b3o5b3ob2ob3o
\$263bo58bo2b3o4bo4b2ob2o85bo5bob2o2b2obo3bobobobo3bob2o2b2obo5bo85b2ob
2o4bo4b3o2bo58bo\$264bo59b4o2b2ob2o4bob4o83bo4bo3bo2bob2o2bo5bo2b2obo2b
o3bo4bo83b4obo4b2ob2o2b4o59bo\$324b2ob4o4bo3b2obo5bo80b6o2b3o2b2o2b2o3b
2o2b2o2b3o2b6o80bo5bob2o3bo4b4ob2o\$326b2o2bo9b6obo83b2obo2bob2o3b3o5b
3o3b2obo2bob2o83bob6o9bo2b2o\$326bo3bo3b2obo2bobob2o3b2o82bo3b2obo4b4ob
4o4bob2o3bo82b2o3b2obobo2bob2o3bo3bo\$331bo5bo2bob2obo89bo5b3o2bobobobo
2b3o5bo89bob2obo2bo5bo\$330bo5bo5b3o2bo87bobo7b2obobob2o7bobo87bo2b3o5b
o5bo\$329bo18b2o85bobo5bo11bo5bobo85b2o18bo\$330bo7bo3bo2bobo87bob3o2b5o
2bo2b5o2b3obo87bobo2bo3bo7bo\$341bo4bo92bobob2obo5bob2obobo92bo4bo\$343b
o2bo3bo86b2o2b3o3bo3bo3b3o2b2o86bo3bo2bo\$343bo5bo88bo3bo5bobo5bo3bo88b
o5bo\$360bo81b2o5bo5b2o81bo\$355bo5bo76bobo4bobobobobo4bobo76bo5bo\$354bo
3b2o79b2obob11obob2o79b2o3bo\$313bo39bobo7bo74bob3ob2o7b2ob3obo74bo7bob
o39bo\$312bo39bob2o6bo76b3ob3obo3bob3ob3o76bo6b2obo39bo\$357bo3bobob2o
71b4o2b2o7b2o2b4o71b2obobo3bo\$356bo2b4o3bo75bob2o7b2obo75bo3b4o2bo\$
353bo6bob2o3b2o70bo19bo70b2o3b2obo6bo\$353bo3bo3bob3o76bo2bo7bo2bo76b3o
bo3bo3bo\$351bo5b2obo3bobo2bobo68bo7bobo7bo68bobo2bobo3bob2o5bo\$352bo3b
2obobobo4bo71bo2bob2obobob2obo2bo71bo4bobobob2o3bo\$355bob2o4b7o4bo63b
2ob2o3b2obob2o3b2ob2o63bo4b7o4b2obo\$354bobob2ob4o3bo2b2o2bo67b2o2bobob
o2b2o67bo2b2o2bo3b4ob2obobo\$359b2ob2obobo3b5o65b3ob2obobob2ob3o65b5o3b
obob2ob2o\$356bo2bo2bobob2obob2ob2o64bo2bob3o3b3obo2bo64b2ob2obob2obobo
2bo2bo\$356b2o2bobo2bob3ob3obobo62b3obobob3obobob3o62bobob3ob3obo2bobo
2b2o\$358bo3bob3obob2o2b5o64b3ob5ob3o64b5o2b2obob3obo3bo\$319bo38bo2b3o
2b2obob2o66b4obob7obob4o66b2obob2o2b3o2bo38bo\$320bo39bobo2b2obobobobo
63bo3bo5bobo5bo3bo63bobobobob2o2bobo39bo\$367bobo2b2o2b3o63bo2bobo3bobo
2bo63b3o2b2o2bobo\$360bo2b6o7b2o67b4ob4o67b2o7b6o2bo\$363b4ob3ob2obobo
62b3o2b4ob4o2b3o62bobob2ob3ob4o\$364bobo3bob3o4bo4bo58bo2b2o3b2o2bo58bo
4bo4b3obo3bobo\$362bob2obobo3bo2b6o3bo54bob2obo2bobo2bob2obo54bo3b6o2bo
3bobob2obo\$363b5o4bo3b2o5bo55b4o5b3o5b4o55bo5b2o3bo4b5o\$367bo2b2o2b2o
6b2o59b2obo5bob2o59b2o6b2o2b2o2bo\$366b2o2b3ob2obo4bob2o4bo46bo5b2o9b2o
5bo46bo4b2obo4bob2ob3o2b2o\$367bo2bo3bo8bo2bo3bobo44b3obobo3b5o3bobob3o
44bobo3bo2bo8bo3bo2bo\$373b2o7bo3b2o4bo42bobobobo15bobobobo42bo4b2o3bo
7b2o\$374bo6bob2o2b2obobobo3bo14bo24b3o2bob2obobob2obo2b3o24bo14bo3bobo
bob2o2b2obo6bo\$374bo5b3obob4o2b3o2bo36bob3obobo13bobob3obo36bo2b3o2b4o
bob3o5bo\$376b2obobobo2bo2b2obobo2b2o8bo6bo20b2ob2o2bo13bo2b2ob2o20bo6b
o8b2o2bobob2o2bo2bobobob2o\$227bo30bo116b2obobob4o6b3o12bob3o24b3o8bobo
bo8b3o24b3obo12b3o6b4obobob2o116bo30bo\$228bo28bo115bo3bo2b2obo4bobo3b
2o9bo2bo4b2o32bo3bo32b2o4bo2bo9b2o3bobo4bob2o2bo3bo115bo28bo\$374bo2bo
5bo5b2o3bo2b2o4bobo2b2o35bobobobobo35b2o2bobo4b2o2bo3b2o5bo5bo2bo\$378b
2ob2o4b2obo3b2o14bo5bo24bobobo7bobobo24bo5bo14b2o3bob2o4b2ob2o\$379b3o
4bo4b2ob2o3bo3b2ob2o2b3o2bo25bob2o9b2obo25bo2b3o2b2ob2o3bo3b2ob2o4bo4b
3o\$380b2o2bobo5bo3bobob2o3bobob2o3bobobo21b2obo2b2o3b2o2bob2o21bobobo
3b2obobo3b2obobo3bo5bobo2b2o\$259bo121b2o2bo3bobo5b4o4bo2b2o5b3o21b5obo
7bob5o21b3o5b2o2bo4b4o5bobo3bo2b2o121bo\$259bo117b2obobob3o9b3o8bo5bo2b
3o17bob2o3b2o2b5o2b2o3b2obo17b3o2bo5bo8b3o9b3obobob2o117bo\$259bo127bob
o3b2obo8bo2bo6bobo2bo15bo5bob3obobob3obo5bo15bo2bobo6bo2bo8bob2o3bobo
127bo\$246bo131b6o3b2o4bob2o2bo3b3o4b5obo20b2obo5bobobobo5bob2o20bob5o
4b3o3bo2b2obo4b2o3b6o131bo\$245bo135bobo7b3o6b2ob2ob2o5b3o5bo12bob3o2bo
2bo3bobo3bo2bo2b3obo12bo5b3o5b2ob2ob2o6b3o7bobo135bo\$380b8o3bo4b2o4b2o
2bo5bo3b2obob2o8bob5o3bo3bo2bobo2bo3bo3b5obo8b2obob2o3bo5bo2b2o4b2o4bo
3b8o\$384bob2o4bo3bo2b4o2b2obo9b2ob3o9bo2bobo4b3o7b3o4bobo2bo9b3ob2o9bo
b2o2b4o2bo3bo4b2obo\$388bob3ob3obob2o2b2o6bob2o2bob3o10bo2b4obob2o2bobo
bo2b2obob4o2bo10b3obo2b2obo6b2o2b2obob3ob3obo\$381b2o2bo3b2o3bo4b2o4b3o
bo3bo3bob2obo15bo4b5obob5o4bo15bob2obo3bo3bob3o4b2o4bo3b2o3bo2b2o\$380b
obo2bo2b3o5bo2b3o2bo3bo5b3obo3bo3bo5bo2bo3bo2bob2ob5ob2obo2bo3bo2bo5bo
3bo3bob3o5bo3bo2b3o2bo5b3o2bo2bobo\$387bobo2bo2bob2o2b2ob4obobo4b2ob2o
5bobo3bobo4b2o3bobo2bo2bobo3b2o4bobo3bobo5b2ob2o4bobob4ob2o2b2obo2bo2b
obo\$388b2o3bob4o2bo2bo2b2o7bo2bo3b2o7b2obo6bobo3b3o3bobo6bob2o7b2o3bo
2bo7b2o2bo2bo2b4obo3b2o\$388bo4bob2ob3o6b3obo3bo3bobo2bobo4b2ob2o7bo2b
2obob2o2bo7b2ob2o4bobo2bobo3bo3bob3o6b3ob2obo4bo\$394b2o3bo4b2o7b2obo4b
6o3b2o2bobo4bo7bo7bo4bobo2b2o3b6o4bob2o7b2o4bo3b2o\$385bobo4b3o18bobo6b
2ob5o3bob2o3b2o5b5o5b2o3b2obo3b5ob2o6bobo18b3o4bobo\$387bo4b2o2bob3obob
2obo7b3o2b2ob3o4b2ob3o2b2ob17ob2o2b3ob2o4b3ob2o2b3o7bob2obob3obo2b2o4b
o\$384b2o2b2ob2o2b3obo2bob3o3bo2b2o2bob3o5bo3bo5b3obob3o2bobo2b3obob3o
5bo3bo5b3obo2b2o2bo3b3obo2bob3o2b2ob2o2b2o\$221bobo163bo5b3obobo5b3obo
4bo7b2ob7o5b2obo4bobobobobo4bob2o5b7ob2o7bo4bob3o5bobob3o5bo163bobo\$
382b2o3b2obo2bo3bob3o2bobob3o6b2o2b3o5bo2bobo2b4obo2bob5obo2bob4o2bobo
2bo5b3o2b2o6b3obobo2b3obo3bo2bob2o3b2o\$384b2o3bobo3bo2bob2o5b2ob2obo
11bob2o9bo2b2o4bobobo4b2o2bo9b2obo11bob2ob2o5b2obo2bo3bobo3b2o\$383bobo
2b2o7bobobo4b2obo2bo2bo3b3obo3bo3b2o6bo2b2o3b5o3b2o2bo6b2o3bo3bob3o3bo
2bo2bob2o4bobobo7b2o2bobo\$383bo2b3o3bo12bob2o2bo5b4obo2bobobo11b5obo3b
ob5o11bobobo2bob4o5bo2b2obo12bo3b3o2bo\$383bo3bo4bo6bobo6bob3o2b3o5b4ob
o7bo2bobob2ob7ob2obobo2bo7bob4o5b3o2b3obo6bobo6bo4bo3bo\$387bo4bobobo
12bob3o3bo3bo7b2o2b2o7bo2bob5obo2bo7b2o2b2o7bo3bo3b3obo12bobobo4bo\$
380bo3bo5bob2o3bo4b2obo2bo3b3o6b4o7bo3bo3bobo5b3o5bobo3bo3bo7b4o6b3o3b
o2bob2o4bo3b2obo5bo3bo\$382bobo3bo3b2o2bobo3bo2b2o6b2ob2o9bobo2bob2o2bo
5bobo2bo2bobo5bo2b2obo2bobo9b2ob2o6b2o2bo3bobo2b2o3bo3bobo\$387bobobobo
2bobo2bob2o4bobo4b5o6b2obo4bo5b2ob2o2bobo2b2ob2o5bo4bob2o6b5o4bobo4b2o
bo2bobo2bobobobo\$386bob3obobo3b3obobo6bo2b3o4bo6b2o8b2obobobobo3bobobo
bob2o8b2o6bo4b3o2bo6bobob3o3bobob3obo\$389b3o2bo2bobo4b2obo2b3ob2o8b2o
2bob2o2bo2b2ob3obo2b2ob2o2bob3ob2o2bo2b2obo2b2o8b2ob3o2bob2o4bobo2bo2b
3o\$324bo63bobo4b2obo8bo2bo4bo2bob2obobo2b6obo3b2o2bo2b2obob2o2bo2b2o3b
ob6o2bobob2obo2bo4bo2bo8bob2o4bobo63bo\$323bo70b2obob3o3bo3b2o4bo3bobob
o3b2ob4o2b2o5b3o2bobo2b3o5b2o2b4ob2o3bobobo3bo4b2o3bo3b3obob2o70bo\$
391bo4b2obo4b2o3b2o4bo2bob2obo3b7o2bo4b4ob3ob3ob4o4bo2b7o3bob2obo2bo4b
2o3b2o4bob2o4bo\$393b4o4b2ob2obobo2b2o2bob4o2bo3bob3o4bo3bo5bobobo5bo3b
o4b3obo3bo2b4obo2b2o2bobob2ob2o4b4o\$394b5o3b2o2b2o2bo2bo11bo2b4obo3bo
4bo2b2obobob2o2bo4bo3bob4o2bo11bo2bo2b2o2b2o3b5o\$395bo4bob3ob2obobobo
4b3o3bo6b2o8b2o3b2o3b2o3b2o8b2o6bo3b3o4bobobob2ob3obo4bo\$400b3obo6bobo
3bo3bobobobobo2b2ob3o3b4o3bobo3b4o3b3ob2o2bobobobobo3bo3bobo6bob3o\$
402b3obobob2o5b2o3bob2ob3o4b4ob2ob2obobobobobob2ob2ob4o4b3ob2obo3b2o5b
2obobob3o\$398b2ob3o2bo4bo14b2o2b3ob3ob2obo4b2o3b2o4bob2ob3ob3o2b2o14bo
4bo2b3ob2o\$337b3o63bob2ob3o3b2o3b2o3b5obo3bo5bo5bobobobo5bo5bo3bob5o3b
2o3b2o3b3ob2obo63b3o\$214bo121bo3bo58bo3bo2bobo2bo3b8o2bobobo2bob4o6bo
2bo3bo2bo6b4obo2bobobo2b8o3bo2bobo2bo3bo58bo3bo121bo\$213bo121b3o3bo61b
o2b2o2bobobobobobobob2o2bobobob2obo4b3o9b3o4bob2obobobo2b2obobobobobob
obo2b2o2bo61bo3b3o121bo\$335bobo3bo60bobobo5bo2bob6o3b2ob2o2bo5bobo7bo
7bobo5bo2b2ob2o3b6obo2bo5bobobo60bo3bobo\$341b2o51bo6b2ob3o2bo7b7o2bo5b
obobo2b4o2bo7bo2b4o2bobobo5bo2b7o7bo2b3ob2o6bo51b2o\$335b3o3b2o55b4o5bo
bo3b2o3b4ob2obob2ob2ob2o3b2o4bo3bo3bo4b2o3b2ob2ob2obob2ob4o3b2o3bobo5b
4o55b2o3b3o\$339b3obo50b3o3bo2b2o7bo5b3obobo5bo6bo11bo11bo6bo5bobob3o5b
o7b2o2bo3b3o50bob3o\$334bo6b2o38bo11b2o4bob2obo2bo4bobo2bo7b5ob2ob5o4bo
2b2obob2o2bo4b5ob2ob5o7bo2bobo4bo2bob2obo4b2o11bo38b2o6bo\$332b2obo3bo
4b4o31bo2bo11bo3bob2ob2o9b2o2bo5b3ob2o2bobob2obo3bo2bo2bo2bo2bo3bob2ob
obo2b2ob3o5bo2b2o9b2ob2obo3bo11bo2bo31b4o4bo3bob2o\$334bob2obo41b3o6b2o
b4o5b2o7bobo5b2o3b3obo2bo2b5ob2ob2obob3obob2ob2ob5o2bo2bob3o3b2o5bobo
7b2o5b4ob2o6b3o41bob2obo\$332bo4bo2b4ob3obo27b3obobo8b3obo8b3o9bobob2ob
2o2b2o3b4o2bob3o11b3obo2b4o3b2o2b2ob2obobo9b3o8bob3o8bobob3o27bob3ob4o
2bo4bo\$333bo7bobo3bob2obobobo5bo6bo8bob4o6bob2ob3o6b5o5bob2o8bo7bobo3b
o4bo7bo4bo3bobo7bo8b2obo5b5o6b3ob2obo6b4obo8bo6bo5bobobob2obo3bobo7bo\$
334b2ob3ob2o4b2o4bob2obo3bo5bo6bo2b3obo6b2o5bob2o4b2obobobo4bobo6b2o3b
3o2bobobo19bobobo2b3o3b2o6bobo4bobobob2o4b2obo5b2o6bob3o2bo6bo5bo3bob
2obo4b2o4b2ob3ob2o\$331bo5bob2ob2o8b5o3b2o3b2obo3bob2o4b2o6b2o2bo6bo3bo
2b2o5bo3b2o6bobo3b2o3bobo2bo15bo2bobo3b2o3bobo6b2o3bo5b2o2bo3bo6bo2b2o
6b2o4b2obo3bob2o3b2o3b5o8b2ob2obo5bo\$335bo8bo3b2o4b3o5bobobobo3bo2bo2b
2o6b4o3b2obo5b4o2bob2o3b3o2b2ob2obo3b2o4b2o2bob2obob2ob2obob2obo2b2o4b
2o3bob2ob2o2b3o3b2obo2b4o5bob2o3b4o6b2o2bo2bo3bobobobo5b3o4b2o3bo8bo\$
274bo58bo2b6o2bo2bob3ob2o2bobo2bobobob3obob2o5b2o6bobo6bobo3bo2b4ob2ob
obo2bob4o3bobo5bo3bo2bo4bo4bo2bo3bo5bobo3b4obo2bobob2ob4o2bo3bobo6bobo
6b2o5b2obob3obobobo2bobo2b2ob3obo2bo2b6o2bo58bo\$275bo64b2o2bob4obo3bo
5bob3obo5b2ob3obo5b5o4b3o3bo2b2o3b3o4bob3o3b2o3bo4b4o3bo6bobo6bo3b4o4b
o3b2o3b3obo4b3o3b2o2bo3b3o4b5o5bob3ob2o5bob3obo5bo3bob4obo2b2o64bo\$
335bobo4bo4b2o4b5o5bo2b3o7b2o9bo2b2obob6o3b2o4b2o2b2obob2o3bo3b2o6bo5b
obobo2bo2bobobo5bo6b2o3bo3b2obob2o2b2o4b2o3b6obob2o2bo9b2o7b3o2bo5b5o
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b3obob4o2b3o215b3o2b4obob3ob2o2b2obo\$315bo2b3o4bo2bobobo5bob2o76bo30bo
30bo76b2obo5bobobo2bo4b3o2bo\$315b2o2bo3bo2b5o4bo2bo80bo59bo80bo2bo4b5o
2bo3bo2b2o\$314bo2b2obobo4b2o3bo2bob3o105b2o2bo2b2o105b3obo2bo3b2o4bobo
b2o2bo\$242bo74b3obo3bo9bobo109b2ob2o109bobo9bo3bob3o74bo\$240b2o44bo27b
o5bobob6o39bo77b5o77bo39b6obobo5bo27bo44b2o\$285bo31bo3bob2ob3obo37bo
161bo37bob3ob2obo3bo31bo\$238bo70bobo3bob2o2b2ob2ob2obo117b3o117bob2ob
2ob2o2b2obo3bobo70bo\$239bo72b2o2bob2ob2o5b2o239b2o5b2ob2obo2b2o72bo\$
307bo2bo4bobo5bo5bo239bo5bo5bobo4bo2bo\$308bob2o3b2obo4b2obo245bob2o4bo
b2o3b2obo\$306b2o6bo5bobo253bobo5bo6b2o\$308bo8bo36bo189bo36bo8bo\$308b4o
5bo37bo187bo37bo5b4o\$310bobo2bo2bo261bo2bo2bobo\$308b5o2b2o265b2o2b5o\$
310bobo5bo261bo5bobo\$310bob2obo267bob2obo\$305b3o6bobo265bobo6b3o\$304bo
b2o6bo269bo6b2obo\$305bobo283bobo\$306bo285bo3\$198bo501bo\$186bo12bo499bo
12bo\$187bo523bo\$230bo437bo\$223bo5bo439bo5bo\$222b3o449b3o\$221b5o447b5o\$
222b3o449b3o\$223bo451bo\$288bo2bo315bo2bo\$287bo4bo313bo4bo2\$221bo455bo\$
220bo66bo4bo313bo4bo66bo\$288bo2bo315bo2bo\$320bo257bo\$319bo259bo5\$174bo
549bo\$175bo547bo4\$443bo11bo\$208b3o231bo13bo231b3o6\$448b3o\$448b3o\$201bo
247bo247bo\$201bo495bo\$201bo138bo217bo138bo\$339bo219bo4\$389b3o115b3o\$
383bo131bo\$384bo129bo2\$448b3o3\$245bo407bo\$245bo407bo\$245bo407bo4\$392bo
113bo\$250b3o140bo111bo140b3o3\$321bo255bo\$320bo257bo\$224bo95bo257bo95bo
\$223bo93bo263bo93bo\$318bo261bo\$133bo315bo315bo\$134bo314bo314bo\$449bo5\$
298bo301bo\$297bo303bo\$208bo175bo129bo175bo\$207b3o173bo131bo173b3o\$206b
5o477b5o\$207b3o85bo307bo85b3o\$240bo53b3o305b3o53bo\$239bo53b5o108bo85bo
108b5o53bo\$294b3o305b3o\$289bo5bo110bo85bo110bo5bo\$288bo321bo6\$428bo41b
o\$429bo39bo2\$108bo681bo\$108bo117bo47bo349bo47bo117bo\$108bo116b3o46bo
349bo46b3o116bo\$225b4o45bo349bo45b4o\$225b3o443b3o\$103b3o120bo445bo120b
3o4\$116bo665bo\$115bo148b3o365b3o148bo2\$300bo297bo\$301bo295bo\$195bo507b
o\$194b3o505b3o\$194b4o503b4o\$193b4o505b4o\$193b2o509b2o3\$448bobo3\$299bo
299bo\$300bo297bo11\$279bo339bo\$280bo337bo7\$446bo5bo\$445bo7bo\$165bo567bo
\$164bo569bo3\$160bo288bo288bo\$161bo287bo287bo\$449bo14\$449bo\$449bo\$449bo
9\$236bo425bo\$237bo423bo15\$64bobo765bobo\$448bobo\$202bo493bo\$201bo495bo
7\$209b3o475b3o2\$449bo\$206bo242bo242bo\$76bo129bo242bo242bo129bo\$75bo
130bo485bo130bo27\$104bo689bo\$103bo691bo\$73b2o749b2o\$73b2o749b2o3\$68b3o
757b3o\$68b3o757b3o\$68b3o757b3o2\$118bo661bo2\$118bo661bo29\$27bo843bo\$28b
o841bo6\$34bo829bo\$35bo827bo22\$bo2bo889bo2bo\$o4bo887bo4bo3\$5bo887bo\$4bo
889bo!
``````
the pattern at around 3,000M generations (exactly 3,008,579,695). The neat thing about this rule is that the active centre is relatively large, and both arms (diagonal, orthogonal) are similarly sized and small (the bounding box is in this state 899x899 which is quite small). Thus, if this eventually settles down (and I am quite sure it will) then this is likely very hard to beat.

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Smallest long-lived methuselahs

This is the new record:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aein6ikn7/S2ce3any4acnyz5-ce6-k7e8
o\$bo\$2bo!
``````
MCPS=3, L=3,202,328,906 (around 2^31.5765)

I stop searching for better ones.
If you like to see the 'end':

Code: Select all

``````x = 899, y = 899, rule = B2-a3-any5aein6ikn7/S2ce3any4acnyz5-ce6-k7e8
5bo887bo\$4bo889bo3\$bo2bo889bo2bo\$o4bo887bo4bo22\$34bo829bo\$35bo827bo6\$
27bo843bo\$28bo841bo30\$117b3o659b3o2\$69bo759bo\$68b3o757b3o\$67b5o755b5o\$
68b3o757b3o\$69bo759bo2\$73b2o749b2o\$73b2o749b2o\$104bo689bo\$103bo691bo
27\$76bo745bo\$75bo129bobo483bobo129bo\$448bobo2\$210bo477bo2\$210bo477bo6\$
202bo493bo\$201bo247bo247bo\$65bo383bo383bo\$65bo383bo383bo\$65bo767bo6\$
125bo647bo\$126bo645bo7\$236bo425bo\$237bo423bo3\$449bo2\$449bo9\$148bo601bo
\$149bo599bo2\$153bo591bo\$152b3o589b3o\$151b5o587b5o\$152b3o589b3o\$153bo
591bo9\$449bo2\$449bo8\$279bo339bo\$280bo154b3o23b3o154bo\$177bo543bo\$176bo
545bo9\$299bo299bo\$300bo297bo8\$428b3o37b3o3\$300bo297bo\$301bo295bo2\$116b
o665bo\$115bo667bo3\$104bo689bo2\$104bo689bo3\$107bobo679bobo6\$414bo69bo2\$
414bo34bo34bo\$448b3o\$289bo158b3o158bo\$221b2o35bo29bo160bo160bo29bo35b
2o\$221b3o33bo36b3o108b3o83b3o108b3o36bo33b3o\$222b2o70b3o305b3o70b2o\$
294b3o305b3o2\$344bo103bobo103bo\$344bo39bo129bo39bo\$344bo38bo131bo38bo
2\$303bo145bo145bo\$304bo289bo\$449bo4\$133bo631bo\$134bo629bo8\$392bo113bo\$
333bo19b3o37bo111bo37b3o19bo\$332bo233bo10\$222bo160bo131bo160bo\$221bo
162bo5bo117bo5bo162bo2\$390bo117bo\$365bo167bo\$366bo165bo\$267bo363bo\$
268bo361bo2\$309b3o7bo259bo7b3o\$263bo56bo257bo56bo\$264bo183b3o183bo4\$
272bo353bo\$273bo351bo4\$448b3o2\$174bo549bo\$175bo547bo7\$368bo161bo\$221bo
147bo159bo147bo\$220bo457bo5\$222b3o449b3o\$222b3o449b3o\$222b3o449b3o3\$
186bo525bo\$187bo10bo501bo10bo\$199bo499bo2\$230bo437bo\$231bo435bo5\$266bo
365bo\$266bo43b2o275b2o43bo\$266bo43b3o273b3o43bo\$311b2o273b2o7\$266bo
365bo\$267bo363bo2\$433bo31bo\$432bo33bo9\$247bo403bo\$246bo103bo197bo103bo
\$351bo195bo8\$343b3o207b3o\$342b4o207b4o\$226b3o113b4o207b4o113b3o\$342b3o
209b3o5\$333bo231bo\$334bo17bo193bo17bo\$351bo195bo\$246bo405bo\$246bo405bo
\$246bo405bo2\$449bo\$449bo\$448bobo2\$443bo4b3o4bo\$448b3o\$442b3o9b3o\$441bo
b2o4bo4b2obo\$261bo177bobo7bo7bobo177bo\$262bo103b2o71bo3bobo3bo3bobo3bo
71b2o103bo\$366b4o69bo2b4o3bo3b4o2bo69b4o\$287bo79b4o68bobobo2bo5bo2bobo
bo68b4o79bo\$288bo78b3o74bo3bobo3bo74b3o78bo\$368bo66b4o3bobob3ob3obobo
3b4o66bo\$434bo3bo3bobobo5bobobo3bo3bo\$420bo12bobo2bob2o2b2obo3bob2o2b
2obo2bobo12bo\$420bo13bob2o4bo3b3ob3o3bo4b2obo13bo\$420bo20b4o3bobo3b4o
20bo\$437bo5bobo7bobo5bo\$442bob2o3bo3b2obo\$437bo9bo3bo9bo\$437bob2obo6bo
6bob2obo\$435b3o7bobo3bobo7b3o\$435bo2bob3obob2obob2obob3obo2bo\$406b2obo
23bo2bo2b2o3b2o7b2o3b2o2bo2bo23bob2o\$404b2obobo23b2o3b2o6bo5bo6b2o3b2o
23bobob2o\$228bo28bo147b7o13bo5b3o2b3obo3b2obo3bob2o3bob3o2b3o5bo13b7o
147bo28bo\$227bo30bo149b2o22bo4b6o3bob3obo3b6o4bo22b2o149bo30bo\$407bobo
b2o2bo7bo3bo4b2obobob2obo2b3obob3o2bob2obobob2o4bo3bo7bo2b2obobo\$399bo
2bob2o3bobo12bo7bobobo3b2o6b3o6b2o3bobobo7bo12bobo3b2obo2bo\$397b3o2bo
3bo5bo2bob2o4bobobobobob3o6bobo4bo4bobo6b3obobobobobo4b2obo2bo5bo3bo2b
3o\$388bobobo2b3o2bobob2o3bo19b2o11bo2b2ob3ob2o2bo11b2o19bo3b2obobo2b3o
2bobobo\$392bo2b2o2bobob3obo2b4o4b2obob2o2bob2o4b3ob4o3b7o3b4ob3o4b2obo
2b2obob2o4b4o2bob3obobo2b2o2bo\$258bobo127bob2ob4obo2bo2bo4bob4o5bob2o
3b3obobo2b2o3bobobo3bo3bobobo3b2o2bobob3o3b2obo5b4obo4bo2bo2bob4ob2obo
127bobo\$390bob6obo2b8obob2ob2obobob3o3b2o2bobobob2obobobob3obobobob2ob
obobo2b2o3b3obobob2ob2obob8o2bob6obo\$245bo142b2ob4o9b2o4b3obo2b3o2b2ob
o2bo2bo3b4ob2obo11bob2ob4o3bo2bo2bob2o2b3o2bob3o4b2o9b4ob2o142bo\$246bo
143b3o2b2o4b2obobob2o4bobob3obo3b3obob2obo2b2o8bobo8b2o2bob2obob3o3bob
3obobo4b2obobob2o4b2o2b3o143bo\$390b3obobo3bobobo2bobo3b2o2bo2bob2obob
2ob5o2bo2bo2bo11bo2bo2bo2b5ob2obob2obo2bo2b2o3bobo2bobobo3bobob3o\$388b
4obobo2bo5bo3bobo4bobo7b2o2b2o6bo3bo2bo3b3o3bo2bo3bo6b2o2b2o7bobo4bobo
3bo5bo2bobob4o\$388b4ob2ob2o3bo6b3o2bob4ob2o2b2obobo4bo6bobob9obobo6bo
4bobob2o2b2ob4obo2b3o6bo3b2ob2ob4o\$387b2o2bo4bobobob2obo4bo2bo3bo3bo2b
5o6bo2bo5bobo5bobo5bo2bo6b5o2bo3bo3bo2bo4bob2obobobo4bo2b2o\$387bo2bo4b
obob4obo4bo3bo4bo2bo2bo2bo8bo4bob2obobobobob2obo4bo8bo2bo2bo2bo4bo3bo
4bob4obobo4bo2bo\$386b2obobo6bob2o2b7obo3b3o2bobo3bo14bo5bobo5bo14bo3bo
bo2b3o3bob7o2b2obo6bobob2o\$388bo5bo2b7o3bo3b2o5b3o4bo22b3o22bo4b3o5b2o
3bo3b7o2bo5bo\$389b2o2bo2bob5obo3bobo3bobo7b2o21b2ob2o21b2o7bobo3bobo3b
ob5obo2bo2b2o\$386b3o2bob2o2b2ob2ob3ob6obo8bo25bo25bo8bob6ob3ob2ob2o2b
2obo2b3o\$389bobo5bo2bobo4bobobo3bo3bo4b2o21b5o21b2o4bo3bo3bobobo4bobo
2bo5bobo\$382bo3bob8o2b2ob2o2bobob2obob2o6b2obo21bo3bo21bob2o6b2obob2ob
obo2b2ob2o2b8obo3bo\$222bo159b2o2bob2ob2o4bobo2bobobo2b4o3bo2b2o2b3obo
17b2o5b2o17bob3o2b2o2bo3b4o2bobobo2bobo4b2ob2obo2b2o159bo\$222bo158bobo
3bo3bobo5bo5b3o2b2o11bo4bo19bobo19bo4bo11b2o2b3o5bo5bobo3bo3bobo158bo\$
222bo158b3obo3bobo2bo4b2ob3obobobob4ob4o4b2o4bobobo9bo2bobo2bo9bobobo
4b2o4b4ob4obobobob3ob2o4bo2bobo3bob3o158bo\$383b2o6bobob2o2bob2o4b3o3bo
b2o2b2o2bo8b3ob2o7bobobobobo7b2ob3o8bo2b2o2b2obo3b3o4b2obo2b2obobo6b2o
\$381b6obob2ob2obob2o2b4o2b2ob2obob2o2bob2o5bob2o2bobo6bob7obo6bobo2b2o
bo5b2obo2b2obob2ob2o2b4o2b2obob2ob2obob6o\$383bo5bo2bo2b3obob2ob4o3bob
2obo4bobo3b4o5bo8bo2bobo2bo8bo5b4o3bobo4bob2obo3b4ob2obob3o2bo2bo5bo\$
383bob2o2b4o7bob2ob2o2b2obobo3bo3b2o4bobobo2b3o6b4obob4o6b3o2bobobo4b
2o3bo3bobob2o2b2ob2obo7b4o2b2obo\$385bobob2obo6b2obob2obobobobobo2b5o6b
ob2obobo25bobob2obo6b5o2bobobobobob2obob2o6bob2obobo\$389b3o2bob3o8b2ob
ob3ob2o2b4obob2o2b2ob3o7bo2bobobo2bo7b3ob2o2b2obob4o2b2ob3obob2o8b3obo
2b3o\$216bobo171b5o6b2obo2bob3ob4o3b2ob2o3bo2bob4obo5bob2o3b2obo5bob4ob
o2bo3b2ob2o3b4ob3obo2bob2o6b5o171bobo\$385bobo7b2o6b2o2b2o3bobob4ob2ob
2o10bo2b2ob5o5b5ob2o2bo10b2ob2ob4obobo3b2o2b2o6b2o7bobo\$391bobo2bo2bob
o3bo2b3o2b3o5bobo12b2obobo3bobo3bobo3bobob2o12bobo5b3o2b3o2bo3bobo2bo
2bobo\$387bo3b2ob4obo7bobo3bobo4b2o2bo4bobob2ob2o3b2obob2o3b2obob2o3b2o
b2obobo4bo2b2o4bobo3bobo7bob4ob2o3bo\$387bobo2b2o2bob3o6bo3b2o2bo2b2o2b
obo4bob3o5bob3ob2o5b2ob3obo5b3obo4bobo2b2o2bo2b2o3bo6b3obo2b2o2bobo\$
389bob3o6bo2bobob2o3bo2bo2b3o2b2obo2bob2o2bob2o4bo4b3o4bo4b2obo2b2obo
2bob2o2b3o2bo2bo3b2obobo2bo6b3obo\$372b3o15bo2b2obo3bo4bob3o2b3o2bob3o
2bo3bo2bo5bob2o6b5o6b2obo5bo2bo3bo2b3obo2b3o2b3obo4bo3bob2o2bo15b3o\$
389bobo4b4o10bob6o2bob2o7b2o2b2o3b4o3b5o3b4o3b2o2b2o7b2obo2b6obo10b4o
4bobo\$390bob3o9bo4bob3obo2bo2bo2b8ob2o11bobobobo11b2ob8o2bo2bo2bob3obo
4bo9b3obo\$385bobob4obo4bo2bob3ob4ob2obo2bobobo2bobo2b4o3b3ob2o5bo5b2ob
3o3b4o2bobo2bobobo2bob2ob4ob3obo2bo4bob4obobo\$386bo2bobo4b3o2bobobo8b
2ob4obo3bo3b2ob2ob3o3b2o11b2o3b3ob2ob2o3bo3bob4ob2o8bobobo2b3o4bobo2bo
\$383bo3bo3b2ob4o2b2ob3obo5bobo6bo2b4o2bo2bo2b4o3b2o2bobo2b2o3b4o2bo2bo
2b4o2bo6bobo5bob3ob2o2b4ob2o3bo3bo\$393bobobo9bo11bo2b4ob3obob4o4bo4b7o
4bo4b4obob3ob4o2bo11bo9bobobo\$385bobob2o2b2ob4o5bo4bo2bo8bo2b4o3bobo2b
o3bo5bobobo5bo3bo2bobo3b4o2bo8bo2bo4bo5b4ob2o2b2obobo\$195bo194bob3o2bo
8bo3b2ob2o5bob2ob4ob3o3bo3bo2bo4b3o4bo2bo3bo3b3ob4ob2obo5b2ob2o3bo8bo
2b3obo194bo\$195bo191b5o3b2o12b2obo4b3o2bo3bo3bo7b4o5b5o5b4o7bo3bo3bo2b
3o4bob2o12b2o3b5o191bo\$195bo192b2obob3o14b2o10bobo3b2o2b2o2bo2bobobobo
bo3bobobobobo2bo2b2o2b2o3bobo10b2o14b3obob2o192bo\$383bo3bo2bobobo12bob
o2b3o2b10obo3bo3b3obobobob2o3b2obobobob3o3bo3bob10o2b3o2bobo12bobobo2b
o3bo\$323bo59b4o6b2o13b2ob3o4b2obobo3b2ob6o2bo6b9o6bo2b6ob2o3bobob2o4b
3ob2o13b2o6b4o59bo\$322bo49bo8b3obobo2b2ob2o12b2o5bo2b2o3b3obo3bob3o3bo
4b6ob6o4bo3b3obo3bob3o3b2o2bo5b2o12b2ob2o2bobob3o8bo49bo\$371bobo8bo3b
2o6bobo11bo3b3o2bo4b6o4b2obob2obobo4bobobo4bobob2obob2o4b6o4bo2b3o3bo
11bobo6b2o3bo8bobo\$175bo194bobo6b2o4bobobob3o3bo9bobobob2o4bobo4bo5bob
3o3b2o2bobob3obobo2b2o3b3obo5bo4bobo4b2obobobo9bo3b3obobobo4b2o6bobo
194bo\$175bo194bo2bo5bobobo2bo2b2obo5bo9bob8o3bo2bobobob2o3b2obo3b4ob5o
b4o3bob2o3b2obobobo2bo3b8obo9bo5bob2o2bo2bobobo5bo2bo194bo\$175bo194bo
2bobob3o3b3o3b4ob2o12b2obo4b2ob2o3b2obo3bo2bo6bo3bob5obo3bo6bo2bo3bob
2o3b2ob2o4bob2o12b2ob4o3b3o3b3obobo2bo194bo\$370b3o7bob3o7b2o3bo16bo4bo
3b3o3bob4obob2obobo11bobob2obob4obo3b3o3bo4bo16bo3b2o7b3obo7b3o\$365b4o
9bo2b2ob2o3bobobo21b2obobo2bobo3b2o7bob2o7bo7b2obo7b2o3bobo2bobob2o21b
obobo3b2ob2o2bo9b4o\$372bo5bob2ob4o2bob2obo20bo4b2obobo2b2obo2b2o3b3o3b
9o3b3o3b2o2bob2o2bobob2o4bo20bob2obo2b4ob2obo5bo\$364b2o2bo3bobo5bo3bob
o2b2obo2b2obo17b3o2bo4b2ob2o4bob5ob2o9b2ob5obo4b2ob2o4bo2b3o17bob2o2bo
b2o2bobo3bo5bobo3bo2b2o\$363bo3bo2b2ob2obobobo3b2ob3obo7bo15bob2o2bob2o
6bo2bobo5bobobo5bobobo5bobo2bo6b2obo2b2obo15bo7bob3ob2o3bobobob2ob2o2b
o3bo\$361bob2ob3o5b2o14bobobobobo16bo2b2obob2o3bobo2bo2bobo2bob3o2bobo
2b3obo2bobo2bo2bobo3b2obob2o2bo16bobobobobo14b2o5b3ob2obo\$363b2o2bob4o
bobo3b2obo3bo3bo3bob2o10bobob3obo7bo5bobob2o4b3o2bobobobo2b3o4b2obobo
5bo7bob3obobo10b2obo3bo3bo3bob2o3bobob4obo2b2o\$366b2o4bo2b2o2bobobobo
2bobo5bo8bob2ob2o3b2obo6bo4bob2o2b2o2bo2bobo7bobo2bo2b2o2b2obo4bo6bob
2o3b2ob2obo8bo5bobo2bobobobo2b2o2bo4b2o\$368bob2obo6bobob2o2b2obo4b3o6b
o3bobo2b2ob2o3bo3bo4b3obo4bobobo3bobo3bobobo4bob3o4bo3bo3b2ob2o2bobo3b
o6b3o4bob2o2b2obobo6bob2obo\$370bob2o3bob2o2bobo3bo6bo4bob2o3b2obob2ob
2o2b2o4b2ob6ob2o2bo17bo2b2ob6ob2o4b2o2b2ob2obob2o3b2obo4bo6bo3bobo2b2o
bo3b2obo\$105bo113b2o5bo41bo8bo81bob2o6b2o2b2o9bobob2obobob2ob4obo2b2ob
2o8b4o2b2ob2o2b2ob3o2bo2b2obobobobob2o2bo2b3ob2o2b2ob2o2b4o8b2ob2o2bob
4ob2obobob2obobo9b2o2b2o6b2obo81bo8bo41bo5b2o113bo\$116b3o18bobo24bobo
51b4o8bobo35bo8bo79b2o2b2ob4o8bobobo3b8o3b2o3bob2o4b2obobo5b3obo2b4o2b
ob4ob2o17b2ob4obo2b4o2bob3o5bobob2o4b2obo3b2o3b8o3bobobo8b4ob2o2b2o79b
o8bo35bobo8b4o51bobo24bobo18b3o\$105bo113b2o5bo41bo8bo81bob2o6b2o2b2o9b
obob2obobob2ob4obo2b2ob2o8b4o2b2ob2o2b2ob3o2bo2b2obobobobob2o2bo2b3ob
2o2b2ob2o2b4o8b2ob2o2bob4ob2obobob2obobo9b2o2b2o6b2obo81bo8bo41bo5b2o
113bo\$370bob2o3bob2o2bobo3bo6bo4bob2o3b2obob2ob2o2b2o4b2ob6ob2o2bo17bo
2b2ob6ob2o4b2o2b2ob2obob2o3b2obo4bo6bo3bobo2b2obo3b2obo\$368bob2obo6bob
ob2o2b2obo4b3o6bo3bobo2b2ob2o3bo3bo4b3obo4bobobo3bobo3bobobo4bob3o4bo
3bo3b2ob2o2bobo3bo6b3o4bob2o2b2obobo6bob2obo\$366b2o4bo2b2o2bobobobo2bo
bo5bo8bob2ob2o3b2obo6bo4bob2o2b2o2bo2bobo7bobo2bo2b2o2b2obo4bo6bob2o3b
2ob2obo8bo5bobo2bobobobo2b2o2bo4b2o\$363b2o2bob4obobo3b2obo3bo3bo3bob2o
10bobob3obo7bo5bobob2o4b3o2bobobobo2b3o4b2obobo5bo7bob3obobo10b2obo3bo
3bo3bob2o3bobob4obo2b2o\$361bob2ob3o5b2o14bobobobobo16bo2b2obob2o3bobo
2bo2bobo2bob3o2bobo2b3obo2bobo2bo2bobo3b2obob2o2bo16bobobobobo14b2o5b
3ob2obo\$363bo3bo2b2ob2obobobo3b2ob3obo7bo15bob2o2bob2o6bo2bobo5bobobo
5bobobo5bobo2bo6b2obo2b2obo15bo7bob3ob2o3bobobob2ob2o2bo3bo\$364b2o2bo
3bobo5bo3bobo2b2obo2b2obo17b3o2bo4b2ob2o4bob5ob2o9b2ob5obo4b2ob2o4bo2b
3o17bob2o2bob2o2bobo3bo5bobo3bo2b2o\$372bo5bob2ob4o2bob2obo20bo4b2obobo
2b2obo2b2o3b3o3b9o3b3o3b2o2bob2o2bobob2o4bo20bob2obo2b4ob2obo5bo\$365b
4o9bo2b2ob2o3bobobo21b2obobo2bobo3b2o7bob2o7bo7b2obo7b2o3bobo2bobob2o
21bobobo3b2ob2o2bo9b4o\$370b3o7bob3o7b2o3bo16bo4bo3b3o3bob4obob2obobo
11bobob2obob4obo3b3o3bo4bo16bo3b2o7b3obo7b3o\$175bo194bo2bobob3o3b3o3b
4ob2o12b2obo4b2ob2o3b2obo3bo2bo6bo3bob5obo3bo6bo2bo3bob2o3b2ob2o4bob2o
12b2ob4o3b3o3b3obobo2bo194bo\$175bo194bo2bo5bobobo2bo2b2obo5bo9bob8o3bo
2bobobob2o3b2obo3b4ob5ob4o3bob2o3b2obobobo2bo3b8obo9bo5bob2o2bo2bobobo
5bo2bo194bo\$175bo194bobo6b2o4bobobob3o3bo9bobobob2o4bobo4bo5bob3o3b2o
2bobob3obobo2b2o3b3obo5bo4bobo4b2obobobo9bo3b3obobobo4b2o6bobo194bo\$
371bobo8bo3b2o6bobo11bo3b3o2bo4b6o4b2obob2obobo4bobobo4bobob2obob2o4b
6o4bo2b3o3bo11bobo6b2o3bo8bobo\$322bo49bo8b3obobo2b2ob2o12b2o5bo2b2o3b
3obo3bob3o3bo4b6ob6o4bo3b3obo3bob3o3b2o2bo5b2o12b2ob2o2bobob3o8bo49bo\$
323bo59b4o6b2o13b2ob3o4b2obobo3b2ob6o2bo6b9o6bo2b6ob2o3bobob2o4b3ob2o
13b2o6b4o59bo\$383bo3bo2bobobo12bobo2b3o2b10obo3bo3b3obobobob2o3b2obobo
bob3o3bo3bob10o2b3o2bobo12bobobo2bo3bo\$195bo192b2obob3o14b2o10bobo3b2o
2b2o2bo2bobobobobo3bobobobobo2bo2b2o2b2o3bobo10b2o14b3obob2o192bo\$195b
o191b5o3b2o12b2obo4b3o2bo3bo3bo7b4o5b5o5b4o7bo3bo3bo2b3o4bob2o12b2o3b
5o191bo\$195bo194bob3o2bo8bo3b2ob2o5bob2ob4ob3o3bo3bo2bo4b3o4bo2bo3bo3b
3ob4ob2obo5b2ob2o3bo8bo2b3obo194bo\$385bobob2o2b2ob4o5bo4bo2bo8bo2b4o3b
obo2bo3bo5bobobo5bo3bo2bobo3b4o2bo8bo2bo4bo5b4ob2o2b2obobo\$393bobobo9b
o11bo2b4ob3obob4o4bo4b7o4bo4b4obob3ob4o2bo11bo9bobobo\$383bo3bo3b2ob4o
2b2ob3obo5bobo6bo2b4o2bo2bo2b4o3b2o2bobo2b2o3b4o2bo2bo2b4o2bo6bobo5bob
3ob2o2b4ob2o3bo3bo\$386bo2bobo4b3o2bobobo8b2ob4obo3bo3b2ob2ob3o3b2o11b
2o3b3ob2ob2o3bo3bob4ob2o8bobobo2b3o4bobo2bo\$385bobob4obo4bo2bob3ob4ob
2obo2bobobo2bobo2b4o3b3ob2o5bo5b2ob3o3b4o2bobo2bobobo2bob2ob4ob3obo2bo
4bob4obobo\$390bob3o9bo4bob3obo2bo2bo2b8ob2o11bobobobo11b2ob8o2bo2bo2bo
b3obo4bo9b3obo\$389bobo4b4o10bob6o2bob2o7b2o2b2o3b4o3b5o3b4o3b2o2b2o7b
2obo2b6obo10b4o4bobo\$372b3o15bo2b2obo3bo4bob3o2b3o2bob3o2bo3bo2bo5bob
2o6b5o6b2obo5bo2bo3bo2b3obo2b3o2b3obo4bo3bob2o2bo15b3o\$389bob3o6bo2bob
ob2o3bo2bo2b3o2b2obo2bob2o2bob2o4bo4b3o4bo4b2obo2b2obo2bob2o2b3o2bo2bo
3b2obobo2bo6b3obo\$387bobo2b2o2bob3o6bo3b2o2bo2b2o2bobo4bob3o5bob3ob2o
5b2ob3obo5b3obo4bobo2b2o2bo2b2o3bo6b3obo2b2o2bobo\$387bo3b2ob4obo7bobo
3bobo4b2o2bo4bobob2ob2o3b2obob2o3b2obob2o3b2ob2obobo4bo2b2o4bobo3bobo
7bob4ob2o3bo\$391bobo2bo2bobo3bo2b3o2b3o5bobo12b2obobo3bobo3bobo3bobob
2o12bobo5b3o2b3o2bo3bobo2bo2bobo\$385bobo7b2o6b2o2b2o3bobob4ob2ob2o10bo
2b2ob5o5b5ob2o2bo10b2ob2ob4obobo3b2o2b2o6b2o7bobo\$216bobo171b5o6b2obo
2bob3ob4o3b2ob2o3bo2bob4obo5bob2o3b2obo5bob4obo2bo3b2ob2o3b4ob3obo2bob
2o6b5o171bobo\$389b3o2bob3o8b2obob3ob2o2b4obob2o2b2ob3o7bo2bobobo2bo7b
3ob2o2b2obob4o2b2ob3obob2o8b3obo2b3o\$385bobob2obo6b2obob2obobobobobo2b
5o6bob2obobo25bobob2obo6b5o2bobobobobob2obob2o6bob2obobo\$383bob2o2b4o
7bob2ob2o2b2obobo3bo3b2o4bobobo2b3o6b4obob4o6b3o2bobobo4b2o3bo3bobob2o
2b2ob2obo7b4o2b2obo\$383bo5bo2bo2b3obob2ob4o3bob2obo4bobo3b4o5bo8bo2bob
o2bo8bo5b4o3bobo4bob2obo3b4ob2obob3o2bo2bo5bo\$381b6obob2ob2obob2o2b4o
2b2ob2obob2o2bob2o5bob2o2bobo6bob7obo6bobo2b2obo5b2obo2b2obob2ob2o2b4o
2b2obob2ob2obob6o\$383b2o6bobob2o2bob2o4b3o3bob2o2b2o2bo8b3ob2o7bobobob
obo7b2ob3o8bo2b2o2b2obo3b3o4b2obo2b2obobo6b2o\$222bo158b3obo3bobo2bo4b
2ob3obobobob4ob4o4b2o4bobobo9bo2bobo2bo9bobobo4b2o4b4ob4obobobob3ob2o
4bo2bobo3bob3o158bo\$222bo158bobo3bo3bobo5bo5b3o2b2o11bo4bo19bobo19bo4b
o11b2o2b3o5bo5bobo3bo3bobo158bo\$222bo159b2o2bob2ob2o4bobo2bobobo2b4o3b
o2b2o2b3obo17b2o5b2o17bob3o2b2o2bo3b4o2bobobo2bobo4b2ob2obo2b2o159bo\$
382bo3bob8o2b2ob2o2bobob2obob2o6b2obo21bo3bo21bob2o6b2obob2obobo2b2ob
2o2b8obo3bo\$389bobo5bo2bobo4bobobo3bo3bo4b2o21b5o21b2o4bo3bo3bobobo4bo
bo2bo5bobo\$386b3o2bob2o2b2ob2ob3ob6obo8bo25bo25bo8bob6ob3ob2ob2o2b2obo
2b3o\$389b2o2bo2bob5obo3bobo3bobo7b2o21b2ob2o21b2o7bobo3bobo3bob5obo2bo
2b2o\$388bo5bo2b7o3bo3b2o5b3o4bo22b3o22bo4b3o5b2o3bo3b7o2bo5bo\$386b2obo
bo6bob2o2b7obo3b3o2bobo3bo14bo5bobo5bo14bo3bobo2b3o3bob7o2b2obo6bobob
2o\$387bo2bo4bobob4obo4bo3bo4bo2bo2bo2bo8bo4bob2obobobobob2obo4bo8bo2bo
2bo2bo4bo3bo4bob4obobo4bo2bo\$387b2o2bo4bobobob2obo4bo2bo3bo3bo2b5o6bo
2bo5bobo5bobo5bo2bo6b5o2bo3bo3bo2bo4bob2obobobo4bo2b2o\$388b4ob2ob2o3bo
6b3o2bob4ob2o2b2obobo4bo6bobob9obobo6bo4bobob2o2b2ob4obo2b3o6bo3b2ob2o
b4o\$388b4obobo2bo5bo3bobo4bobo7b2o2b2o6bo3bo2bo3b3o3bo2bo3bo6b2o2b2o7b
obo4bobo3bo5bo2bobob4o\$390b3obobo3bobobo2bobo3b2o2bo2bob2obob2ob5o2bo
2bo2bo11bo2bo2bo2b5ob2obob2obo2bo2b2o3bobo2bobobo3bobob3o\$246bo143b3o
2b2o4b2obobob2o4bobob3obo3b3obob2obo2b2o8bobo8b2o2bob2obob3o3bob3obobo
4b2obobob2o4b2o2b3o143bo\$245bo142b2ob4o9b2o4b3obo2b3o2b2obo2bo2bo3b4ob
2obo11bob2ob4o3bo2bo2bob2o2b3o2bob3o4b2o9b4ob2o142bo\$390bob6obo2b8obob
2ob2obobob3o3b2o2bobobob2obobobob3obobobob2obobobo2b2o3b3obobob2ob2obo
b8o2bob6obo\$258bobo127bob2ob4obo2bo2bo4bob4o5bob2o3b3obobo2b2o3bobobo
3bo3bobobo3b2o2bobob3o3b2obo5b4obo4bo2bo2bob4ob2obo127bobo\$392bo2b2o2b
obob3obo2b4o4b2obob2o2bob2o4b3ob4o3b7o3b4ob3o4b2obo2b2obob2o4b4o2bob3o
bobo2b2o2bo\$388bobobo2b3o2bobob2o3bo19b2o11bo2b2ob3ob2o2bo11b2o19bo3b
2obobo2b3o2bobobo\$397b3o2bo3bo5bo2bob2o4bobobobobob3o6bobo4bo4bobo6b3o
bobobobobo4b2obo2bo5bo3bo2b3o\$399bo2bob2o3bobo12bo7bobobo3b2o6b3o6b2o
3bobobo7bo12bobo3b2obo2bo\$407bobob2o2bo7bo3bo4b2obobob2obo2b3obob3o2bo
b2obobob2o4bo3bo7bo2b2obobo\$227bo30bo149b2o22bo4b6o3bob3obo3b6o4bo22b
2o149bo30bo\$228bo28bo147b7o13bo5b3o2b3obo3b2obo3bob2o3bob3o2b3o5bo13b
7o147bo28bo\$404b2obobo23b2o3b2o6bo5bo6b2o3b2o23bobob2o\$406b2obo23bo2bo
2b2o3b2o7b2o3b2o2bo2bo23bob2o\$435bo2bob3obob2obob2obob3obo2bo\$435b3o7b
obo3bobo7b3o\$437bob2obo6bo6bob2obo\$437bo9bo3bo9bo\$442bob2o3bo3b2obo\$
437bo5bobo7bobo5bo\$420bo20b4o3bobo3b4o20bo\$420bo13bob2o4bo3b3ob3o3bo4b
2obo13bo\$420bo12bobo2bob2o2b2obo3bob2o2b2obo2bobo12bo\$434bo3bo3bobobo
5bobobo3bo3bo\$368bo66b4o3bobob3ob3obobo3b4o66bo\$288bo78b3o74bo3bobo3bo
74b3o78bo\$287bo79b4o68bobobo2bo5bo2bobobo68b4o79bo\$366b4o69bo2b4o3bo3b
4o2bo69b4o\$262bo103b2o71bo3bobo3bo3bobo3bo71b2o103bo\$261bo177bobo7bo7b
obo177bo\$441bob2o4bo4b2obo\$442b3o9b3o\$448b3o\$443bo4b3o4bo2\$448bobo\$
449bo\$449bo2\$246bo405bo\$246bo405bo\$246bo405bo\$351bo195bo\$334bo17bo193b
o17bo\$333bo231bo5\$342b3o209b3o\$226b3o113b4o207b4o113b3o\$342b4o207b4o\$
343b3o207b3o8\$351bo195bo\$246bo103bo197bo103bo\$247bo403bo9\$432bo33bo\$
433bo31bo2\$267bo363bo\$266bo365bo7\$311b2o273b2o\$266bo43b3o273b3o43bo\$
266bo43b2o275b2o43bo\$266bo365bo5\$231bo435bo\$230bo437bo2\$199bo499bo\$
187bo10bo501bo10bo\$186bo525bo3\$222b3o449b3o\$222b3o449b3o\$222b3o449b3o
5\$220bo457bo\$221bo147bo159bo147bo\$368bo161bo7\$175bo547bo\$174bo549bo2\$
448b3o4\$273bo351bo\$272bo353bo4\$264bo183b3o183bo\$263bo56bo257bo56bo\$
309b3o7bo259bo7b3o2\$268bo361bo\$267bo363bo\$366bo165bo\$365bo167bo\$390bo
117bo2\$221bo162bo5bo117bo5bo162bo\$222bo160bo131bo160bo10\$332bo233bo\$
333bo19b3o37bo111bo37b3o19bo\$392bo113bo8\$134bo629bo\$133bo631bo4\$449bo\$
304bo289bo\$303bo145bo145bo2\$344bo38bo131bo38bo\$344bo39bo129bo39bo\$344b
o103bobo103bo2\$294b3o305b3o\$222b2o70b3o305b3o70b2o\$221b3o33bo36b3o108b
3o83b3o108b3o36bo33b3o\$221b2o35bo29bo160bo160bo29bo35b2o\$289bo158b3o
158bo\$448b3o\$414bo34bo34bo2\$414bo69bo6\$107bobo679bobo3\$104bo689bo2\$
104bo689bo3\$115bo667bo\$116bo665bo2\$301bo295bo\$300bo297bo3\$428b3o37b3o
8\$300bo297bo\$299bo299bo9\$176bo545bo\$177bo543bo\$280bo154b3o23b3o154bo\$
279bo339bo8\$449bo2\$449bo9\$153bo591bo\$152b3o589b3o\$151b5o587b5o\$152b3o
589b3o\$153bo591bo2\$149bo599bo\$148bo601bo9\$449bo2\$449bo3\$237bo423bo\$
236bo425bo7\$126bo645bo\$125bo647bo6\$65bo767bo\$65bo383bo383bo\$65bo383bo
383bo\$201bo247bo247bo\$202bo493bo6\$210bo477bo2\$210bo477bo2\$448bobo\$75bo
129bobo483bobo129bo\$76bo745bo27\$103bo691bo\$104bo689bo\$73b2o749b2o\$73b
2o749b2o2\$69bo759bo\$68b3o757b3o\$67b5o755b5o\$68b3o757b3o\$69bo759bo2\$
117b3o659b3o30\$28bo841bo\$27bo843bo6\$35bo827bo\$34bo829bo22\$o4bo887bo4bo
\$bo2bo889bo2bo3\$4bo889bo\$5bo887bo!
``````
This starts at generation 3,202,313,176. So run it for around 16k generations.

Moosey
Posts: 3567
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Smallest long-lived methuselahs

Could we allow extremely long-lived methuselahs which stabilize into infinite growth? The issue with the fact that stabilization of infinite growth is a little poorly defined can be countered by the fact that the lifespans are positively enormous. After all, the +- couple gens hardly matters when the lifespan likely far exceeds a googolduplex, which many think is the largest named number (of course, as the largest total computable function thread or googology in general demonstrates, this is nearly infinitely far from the truth):

Code: Select all

``````#C typical tetrationally long-lived methuselah in my tetrationally long-lived methuselah rule. Lasts about 2^^7 gens, which is larger than a googolduplex. If my calculations were too generous then it still lasts at least 2^^6 gens, which is smaller than a googolduplex but far far far larger than a googolplex
x = 19, y = 18, rule = B2a3ijry4ity5ey/S3i4ent5er6i
9b2o\$9b2o13\$6b3o2b3o\$bo15bo\$3o13b3o\$bo15bo!
``````
Really, my rule allows for easy creation of enormously long lived methuselahs since in the long run you can add 2 to the mcps of a lifespan-n methuselah and extend the lifespan to about 2^n.
It's a sort of "tetrationally long lived methuselah toolkit".
Can anyone make a pentationally long-lived methuselah toolkit or a knuth toolkit in 2-state isotropic CA?
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Nanho walåt derwo esaato?

testitemqlstudop
Posts: 1367
Joined: July 21st, 2016, 11:45 am
Location: in catagolue
Contact:

### Re: Smallest long-lived methuselahs

Moosey wrote:Could we allow extremely long-lived methuselahs which stabilize into infinite growth? The issue with the fact that stabilization of infinite growth is a little poorly defined can be countered by the fact that the lifespans are positively enormous. After all, the +- couple gens hardly matters when the lifespan likely far exceeds a googolduplex, which many think is the largest named number (of course, as the largest total computable function thread or googology in general demonstrates, this is nearly infinitely far from the truth):

Code: Select all

``````#C typical tetrationally long-lived methuselah in my tetrationally long-lived methuselah rule. Lasts about 2^^7 gens, which is larger than a googolduplex. If my calculations were too generous then it still lasts at least 2^^6 gens, which is smaller than a googolduplex but far far far larger than a googolplex
x = 19, y = 18, rule = B2a3ijry4ity5ey/S3i4ent5er6i
9b2o\$9b2o13\$6b3o2b3o\$bo15bo\$3o13b3o\$bo15bo!
``````
Really, my rule allows for easy creation of enormously long lived methuselahs since in the long run you can add 2 to the mcps of a lifespan-n methuselah and extend the lifespan to about 2^n.
It's a sort of "tetrationally long lived methuselah toolkit".
Can anyone make a pentationally long-lived methuselah toolkit or a knuth toolkit in 2-state isotropic CA?

No, because they are engineered methuselae.

In a sense if you chain enough recursive filters (in B3/S23) together with some clever edge shooting mechanism to destroy the cordership then the cumulative lifespan would make the tetrational counters look like nothing.

wildmyron
Posts: 1446
Joined: August 9th, 2013, 12:45 am

### Re: Smallest long-lived methuselahs

2718281828 wrote:This is the new record:

Code: Select all

``````x = 3, y = 3, rule = B2-a3-any5aein6ikn7/S2ce3any4acnyz5-ce6-k7e8
o\$bo\$2bo!
``````
MCPS=3, L=3,202,328,906 (around 2^31.5765)
Absolutely amazing.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

Moosey
Posts: 3567
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Smallest long-lived methuselahs

testitemqlstudop wrote:
Moosey wrote:Could we allow extremely long-lived methuselahs which stabilize into infinite growth? The issue with the fact that stabilization of infinite growth is a little poorly defined can be countered by the fact that the lifespans are positively enormous.
No, because they are engineered methuselae.
But they are relatively small compared to some enormous stack of recursive filters--it's harder to tell what will happen based on what the pattern looks like at the start alone.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Nanho walåt derwo esaato?

testitemqlstudop
Posts: 1367
Joined: July 21st, 2016, 11:45 am
Location: in catagolue
Contact:

### Re: Smallest long-lived methuselahs

A googleplex is relatively small compared to Graham's number.

Moosey
Posts: 3567
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Smallest long-lived methuselahs

testitemqlstudop wrote:A googleplex is relatively small compared to Graham's number.
Yes, I know that.
But is it that easy to construct a methuselah with a lifespan of g_64 using recursive filters?
G_64 is ~ f_w+1(64), while I believe that recursive filters are at best f_w(n)
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Nanho walåt derwo esaato?

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Smallest long-lived methuselahs

Somewhat off-topic, but since the tetration rule doesn't have its own thread I wanted to note that it's surprisingly non-explosive (and cool-looking) from soup:

Code: Select all

``````x = 183, y = 193, rule = B2a3ijry4ity5ey/S3i4ent5er6i
2obo2b3obo2b2obo2bobo4b4ob2obob3o2b4obobo3b2ob6ob3o7bo3b2ob3o3b3ob2obo
b4obo2bo3b2o3bo2b3o3bo3b5ob2ob2ob5obob2obob2obo4bo2bobo2b9ob5o\$2obob3o
2bob2obobobobo5b2o2bo4bo4b3obob5ob3ob3o4bob4o3bob3o3bob2o4bobob4ob3obo
2bo3bobob2o3bo3b2o2b3ob2obo3bo3bo2bobo4bobobobob2obo2bo2b3o5bo3bo\$o6bo
b3o5b3o2bo3bob2o2b2ob3o4b4o2bob3ob2o4bo4b5o4bo2b3ob3o5b4ob3o2bo2b3o2bo
b4ob3o2b8ob2obo2b6ob2obobo5bo2bo2bob6ob4o2bob2o2bo\$3obo2bob2ob3ob2ob2o
2b6obobob2obo2b2o3bobo2b2o2bob2o2bo4b2o5bo2bob2o3b2o2b5ob3o2bob7o2bob
2o2bo2b2o4b3o2bo2b3ob2ob3o2bo2bo4b3o2bo2bo2bobobob4obobobob3o\$2b3ob2ob
4obobobo2bo3b3obobo2bo2bo4b3obobob2o4b2obo3bob3o2bobobo4bo10bob2o3b3ob
2obo6bo4b3o6b3o2b3o6b2o3bo2b3ob3obo2bo5b2ob3obo3b5o\$4o4bo3b5o2b4o8b2o
3b2o2b3o3bob2obo2bob3obob5o4b3o7b5o9b3obobob5o3bob3o3b4o2b3o2bob3o4b2o
b3ob2obob3o7bobo3bob12o\$bo2bo3bo4b2o2b3ob5o3b2o3bo4bo3bobo3b4obo2bob4o
b5o2b2o6bobo4b2ob3ob3obob4o2b2o3bo2bo4bo5b3o2bobo5b3obo2bo2bob3o3b3o2b
o2bo2bo6bo7bo\$b2o2b5o3bobo2b2o2bobobobobob2ob2obobobo4b3o4bo2bobobo2bo
3bo3b9o8b2o2bobobo3bobo4bobob3o2b5ob3ob5ob5obo3bo3bo2bob2o2bo4b3o2bo2b
3o3b2obo3bo\$bo2bo2bo2b5ob4ob2o3bob3o2bo2b2obob2ob2o2bo3bo2b2o3b9ob2ob
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o2bo4bo2bobo3bo\$obo2b3ob7obobobob2obo2b2obo3b4o2bo2b4obo2b2ob3o2b4o6b
5obobo4b2obobob2ob3obob5obobob3o4bo3bob2o2bo4b3ob2o2bo2bo2bobobo2b2o3b
o3bob7o3bo3b2o2bo\$2b2ob3obo4bo2bobobob2ob2o2bob2o3b2ob2ob2o2b2obobobo
3bob2obo2bob3obo3b2o2b2obob2o2bob4o3bo2bo9b3obo5bob2ob2o3bob3ob2o4bobo
bobo7b4o3bo5b5obo2b2o\$2b2o4b3obobobo4b3o4bo3b2ob2o2bob2o2b4ob3ob3obo2b
o3b3o3bo2b3obob2o3b2ob2o5b4o2bo4b2obob2obobob2o2b2ob2o2b2o2bob2o3bobob
obo5b3obo4bo2b3obobob3ob3ob2o\$o4b2obob3obo3bo5b6o2b3o2b2o2b2ob2o2b2o2b
2o2bo2bob3o2b2obob3o2bo3b2o2b7o3bob2ob3obob2ob2ob2ob6obobo2bo2b5o3b2ob
4ob3obo5bo2bob2o4b3obob2o6bobo\$bob2o6b3o2bob4o2bo3b3o3bob2o2bo3bo4b2ob
3obo3b5o2bo2bob4o2b3ob2o2bo3b3obob2o3b2o3b4ob2o4b4o2bo2bo6bo3b4obo2bo
6bo5bobo2bo2b2ob2o2bobob2obobo\$3bobob6o2b2obob3o4bob3o2b2o2b4ob2ob3ob
2ob4ob3ob2o2bob3o2b6ob7o3bo4bobobo6bo3b2o2b3ob4o2bo4b3obo3b4o2bob2o2bo
11bobo2b2ob2o4bob2ob2o\$bob4o4b4o5bobobob3ob2o3bob2ob3o5b3o3b2o2b3obo4b
4o4bo2bob5ob2obobo6b2obo6b2obobo2b4obob2o2bo2b4ob2ob4o3b6o5b2o2b2o2bob
3o2b2o5b2ob2o\$2bo3b2o4b6obo6b2obo5b2ob2o5bobo7b2o2b2o3b2ob2o2bo3bob2o
3b2obob3ob3obob2ob2o2b4obob2ob2ob2o3b4o2b3ob2o3b2obo3b2o4bo6bob2obobo
2b3o4bo3b2o2bo\$3o2b3o2b2obo2b2ob2ob3obo8b4o2b5ob3ob2obob2obo6b2o5b3o2b
4ob2ob3o2b5o2bo3b3o2bobo2b2obo2b2obo3b2o9b2ob2obo7bo4bob3ob4obob2o3bob
2o2b2o\$ob2ob2o2bo5b2ob2obo3bob2o3bo5b2ob2ob3obob2obo2b2o3b3o2b4o3bo2b
3o2bo2bo2bobobob5o3bo4bo3bob2o2bob4obobob4o2bo2bo5b2obo2bobobobobo3b3o
5b5o2b2obob2o\$bobobo2bobob4obob2o3b2ob4o2bob5o2bob2o2b2ob2o2bob3ob5ob
2o2b4ob4obob2o3b2o3b2o2b2o2bo2bo4bobob5o3bo5bobobo4b3obo2bobo2b4o2b3o
3bobob3o3b2obo3b3o\$4b2obob4obobo4bobobo2bo4b2ob3ob2obo2bo2bob4o2b2obo
3b4ob2o5bo2bo5bo4bobo2bobobo3bo2b2ob2obo3b3o2bo2bo2bob2ob3ob3obo2bobo
3b3obobob6ob4ob3o2bo3b2o2bo\$b3o3b3o2b5ob3o2bob4o2bobo4bo2b2o2bo6b2o4bo
b5ob3o2bo2b2ob2obo2bob2o4b2o2bob3o4bo2b3obo4bobob2ob2ob2o2bobo5bo2b2o
3bo2bo2bo5b2obo5b2obobo3b3ob2o\$2o2b4ob2o3b2ob2o5b2obob2obobo2b4o2b3obo
bob2obo3b2o3b3o3b3o4b3o6bobo2b2o3bobobobo4b4o4bob3obo2bo3b2obob2o3b2ob
ob2o2b3ob2obo3b3ob5ob3ob2ob2o4bo\$o2bob2obo2b3obo3bob2o3b5ob4o2b2o2b4o
2bobob2obo2bobo3bo3b2obobob4o3bob2obo4bob5o4b4o3b2o2b2ob3o2b4obob3o3bo
2bob3obob2o3b3ob3o2b2ob2ob2ob4obo3b3o\$3b2o2bob2o3b2o5b2o2bo2bo4bo3b2o
2b4o2bobob2ob2o3b6ob2obo2b2ob5o2b2o3b2o3b2o3b2obob3o2b2o2bob3obo3bo2bo
3b2o3bo2bob3o3bo3b4o2bobob3o2bob2o2bob5obo2bobo\$3bob6obo3b4obob2o2bobo
3b2ob3obo2b2obob4o3b5o2b2obo3bo2bo4bobobo2bo2bobobobo3bobob4o3bobob2o
8bo3bob2o2bo2bob2o2bobo2bob3obob2o3b3ob3o2bobo2bo4bob3o\$o3b6o2b2o2b4ob
3o5bob3ob2o4b3ob2o3bob2obo2b4ob5obo4b4ob2obobo5b2obob2obo2bo2b2o4b6o2b
2o3bo2b2obo6bobobob3o2bobo4bob3obo5b4obobobob2o3bo\$6bo6b4obobob2obo2bo
2b2o2bo5bobob4obo2bobo2bo4b4o2b2ob6obo2bo7b3o5bob2o9bo2bobob3obo2b3o3b
2o3bobob3o2b3o2bobob2ob2ob5obob2obo3bo2bob2o\$obobo2bo2b3o2b2o4b2o3bo2b
o2b4o3bo3bo6b2o2bo2b2o3b2o2bo3b2obob7obo2bo2bo2b7o2bo3b3o2b3ob4obob2ob
2obo3b2ob6obobobobo2bo7b2o2bobobobob3o2bobo3b2o\$3obo8bob2o4bo2b6o2b2o
5bob2o4bob5o2bob5o3b3ob2obob3o6b2obobo2bob2obobobo2bo5b3ob4ob2obo2b2ob
obob3obob2o3bob2ob2o3b6ob2ob2obo2b4o2b3o\$obo2bobobob3ob2o2b4ob5ob4ob2o
2b12o2bob3o2b2o2bo4b3obob2o4bob2obobob3o4bo3b7o2bo2bob2o6b3obo3bob2obo
3bo2b5o2b2o2bo3b2ob5ob2o3bo3b2ob4o\$b2ob2obob5o4bobo3bo2b2o2bob2o7b4ob
3ob4obob2o6b4o2b4obo2bobo2bobob4o6b2o3b3o2bo4bob2o6b5obob5obobo3b4obo
6bobob4o3b4obo4bob4o\$4bobo2b2o4b2o2bo2bo2b2o5bob4o2b3o2bo2b2ob4ob2obo
2bo2b3o2b2ob3o2b3ob4o2b8obob4ob2ob5obo2b2o2bo4bobo2bo2b5ob5o2bobo3b2o
3b2ob2ob3ob2o2b4o2b2ob3o\$o2bo2b3o3b2o2b2ob4o2bobo2b5obobo8b2ob2o2bo5b
3o7b2obo3b2o2bobob2obob2o2bobo5bo2b2obo2b4obo2bo2b2ob3ob5o2b3o7b2ob5ob
3o6b2o2b2ob2obo2bo4bo\$bo3b2o2b2obo2bobo2b2ob3obo5bob2obo5bobo2b2o2b2ob
o2b2o2b2o2bo2bobo3b2ob2o2b8ob2o5bob3o2b2obo2b3ob2o2bobo2b6obobobobobo
2b2obobo2bo2bob2ob3ob2o2b4obob2o3bo2bo\$ob2ob2obobob3o2b3obobo3bo6b2ob
2o3bo2b2o2bo4b2obobob3o3b2obo5b4ob3o4bobobob4o3b3obo2bob2o2b6o2bo2bob
2ob2obo2bo3bo2b2obo4b3ob2o2b2ob6ob3o4b3ob3o\$2o4b2obobob2o2b2obo2b2ob2o
2b2o3b2obo2bo3bo3bo2bobo4bob4obobobo2b2obobob3o3b3o3bob2o3bobob4o2bob
2obo2b5ob2o4bob2ob2obob2o3bo4bobo2bobob3o2b2ob2o2b4o6b3o\$2o2b3o3bo2bob
obobobo2bob2o2bobo2bobob6o2bo4bob2o7b2o10b5ob7obob4obo2bob2obo2bob2obo
3bobo4bo4bob4o2bo2bob2ob2obobobo4b2ob4ob3o2bo7bobobo\$4o5bo2b2obobo2bob
2obobobo2b3o2bo2b2obob3obob4ob2o4b4o2b5o2bob4obo5b2o2b2obo4bobobo2bo2b
3o2b4o5b4o2bobobobo2b6ob2ob6ob3o5bo2b3o4bob2o2bobo\$2bo5bobob4obobo2bob
o3bob3o3b2o3b3o5b2o4b2o3bobob4o2bob7o2bob3ob2o4bo2bo2bo5bo2b5o3b2o3bob
o2b3o3b4ob2ob2o3bo3b5o2b2o3b2o3bobo2b2obobo!
``````
There's a neat square-root reaction in the southwest corner, rakes in the central south and southwest and linear replicators in the central west and central north. But it does not appear to explode quadratically.

It's also interesting to look at the behaviours of straight lines of cells in this rule. A line of 17 cells appears to become a sort of sawtooth related to the tetration methuselae:

Code: Select all

``````x = 17, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
17o!
``````
And a line of 19 cells gives a cool-looking combination of an enclosed replicator and backrake:

Code: Select all

``````x = 19, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
19o!
``````
A line of 22 cells gives a sort of replicator interaction that results in a very unusual pop plot with kinks in it:

Code: Select all

``````x = 22, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
22o!
``````
It's hard to tell what exactly is going on because it just looks like a line when you zoom out in Golly.

23 cells also has weird replicator interactions and pop plots:

Code: Select all

``````x = 23, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
23o!
``````
24 and 25 cells also gives these weirdly kinked pop plots. It seems that the majority of longer line lengths also do, with some being more complicated than others:

Code: Select all

``````x = 41, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
41o!
``````
EDIT: Okay, it is possible to make this rule explode quadratically:

Code: Select all

``````x = 30, y = 30, rule = B2a3ijry4ity5ey/S3i4ent5er6i
30o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$30o!
``````
It appears a fair fraction of soups don't explode, however. In this exploding soup, there is a cool bouncing reaction in the near southwest that breaks after ~6k gens:

Code: Select all

``````x = 151, y = 147, rule = B2a3ijry4ity5ey/S3i4ent5er6i
3o3bo3bob2ob2obob4obo2b2o3b2obob6obo3b5o5b2ob2ob4ob2ob2o3b2o2b4ob5obo
5b3o2bobo5bob2ob5obo3bo2b5o3bob2o5b3o\$3b4obob3o2b3o4b3o5b3obo4bo2b2ob
2obob4o2bo4b3ob2ob2obobo2bobob3o2b2o2bobo4bob7o4b3o3b3o2b2o4b3o5b4ob4o
b3ob2o\$3obobo6bobob4ob2ob2o2bo2bob2ob4obo2bo2bob5ob2o4bobobo2b2obo2bo
3b2o3bo2b5ob3o4bo2b2o4bob3obo3b3o2b2ob2o3bobo2bob3ob5obo\$ob5obo3b3ob2o
2b10ob3o7b2o2b4obo2b3obobo4bo2bo4b2o2b3o4b3o2b4o2b2o2b7obo2bo4bob2o2bo
bo2bo2bobobobobo4bo2bob2o\$2bo5b3o2b2obob3ob2o4b2o5b5obo2b2o2bo4bobo2bo
bobob5ob5o2bo2b2o3bob2o2bob5obob2o2b2obobobo2bo2b3ob2o2bobobo5bo2b5o2b
3o\$2ob3obob4obo2b2obob2o3b3obo2bo2b2obo3bo2b2obo4bo3b2o3bo4b2obo2b4o2b
ob2o2b13ob3obo2b3ob2o5b2o3b2o3b5ob2obo3bobo2b3o\$bo2bobobo2b2ob2o2bo2b
9ob2o2b2o2b2obobo3bo2b3o5b3o2b4obobo4bo2b2ob2ob2o2bobo2bobo2bob3o3bo4b
5o5bob4o2bobo2b2o2b3o5bobo\$bob2ob3o2bobob6obo3bobo4b9ob2obo2bo3bobo4bo
2bo2b2ob2o2bo3b8ob3o2bobob3obo5bo5bobobo2bob3o5bo2bob4ob2ob3o2bo2bo\$2b
2o2b4obo3bobob3o3bo2b4o2b2ob2o2bo2b2obo2bo3bo2bob3o2b5obobo2b2o4bo3bo
2bobobo4bo2bo3bobo2b2o2b2obob5ob2ob2ob3o2b6obobo2b2o\$2bo4bobobo2b2o3b
2o3b8ob4o5b4o2b2obo4bob2ob3ob7obobo3b2ob2o2b4o2b4obo2bo2bob2o3b4obo8b
2o3bo3b7o5bo2b3o\$7bo6b2o3bob3o4bo2b2o3bobo2bobo2bob2obo2b4o5bo6bob2ob
3obobo7b3o3bob3o2b2ob3o5bob3ob2o2b2o4bob3obob2o3bobob3obo\$b2ob6o2b2o4b
2o6bob5o2bo2b6o2bob5obobob2o4bobo3b6obo4b3ob2o3bo3b2obob2obo3b3o2bob4o
3b3ob4o2bob3obobo3b3o4bo\$o3bo2bob3o4b4o2bob4o2b2ob6o3bob2o2bo2bob3obob
obobo3b2ob2ob2obo2bo2b2o2b3o2bobob2o2b2o6b4o2b3obo3b2ob6o3bo3bo2b2o7bo
\$2o3b3o3b2ob4o2b2o3bo3bobo2bobo2bo2b2o2b2ob4o4bobo2bob2ob3o2bo2bobobob
o5b3obob2o3bobobo4b3ob6o4bob5o2b2ob2o3bo4b5ob2o\$2bo2bobobob2o7b7ob2ob
2o6bo2b2ob2o2b2o3bo3b2ob2obo2bobo2bobobo4bob3o4bobo2bo3b2o4b3o4b6o2bo
2bobo2b2ob3obo4b2o3bobobo\$bo2b6obobo4bo2b2ob5o2b3o2b2obobo2bo3bo3bo2b
6ob3o2b2ob2ob3ob3o13b7o2b3obob2o2bob2ob2obo6b4obob4o2b2o2b2o3b2o\$o6bo
2bo2bob2ob2o3b3obobob2obobobo2bo3bo4bo2b3ob2o2b2obobo2b2obobo2b3obob2o
3bob3o3bo3b4obob2ob2obob2ob2ob3ob7o3bobo4bo4bobo\$8o5b2o3bobo2b5o2bo6b
2ob3ob2ob4obobo3b10o2bobobob2ob2obob5o2bobobobo2bobo3b2ob2obob3o5b3o3b
o2b3obo2b2o3bobo2b2o\$b2ob4o2b2obobob3o2b2obo3bobob6obob2ob2o2b6obo2bob
2o3bo2b2o4b2o6bobobobobo2b2ob2o3b2o2bo2b2o4b2o4bo2b2o2bo4bo3bo3bobo2b
2o2bo\$b8o4bobobobo3bob7obob3o3b4obob2o2bob2obo2bob2obobo4b2obobobobo5b
obo3bobo2bo2bo3bo2b3obo2bob4o5bob2o2b3obobob3o2bob3o\$2o2bob2o7b2o2bo2b
ob5ob2obo2b2obobo2bo8bo3bo8b4obob2o3b2o3bob4ob2o3bo2b2o2b4ob2ob2o3b3o
2bobo2b3ob2o3bo2b4o5b3obo\$2ob7o6bo6b2ob5ob2obobob2o2bo2b2o3bo2bo6b3o2b
obo3b2o2bo4b2o2bo2b3obob3o2b5ob2o2b3obob3obo2b4obo2bo3bo2b8obo\$2o5bob
2o2bobo2b4ob9o3bo3b2o2b2obob4o3bobo5b2o4bo2bo2b3obob5obo3b2o2bo2bobob
2o4b5o2b2o2b2obo3bobobo3bo3b3obo4bo2bo\$3b3obo4bo2b2obob4o2bo4b2o3b3ob
2obobo3b2o2bo2b2obob4obob4o2bo3bob2ob4obobo2b2o5b3o2bobobo3bo2b8o3bo3b
3o2b2ob2ob2o4bo\$2bo4b4ob5ob4ob3ob2obo3b2o2b3o3b3o2b2o2b5ob2o3b2o5bo4b
2o3bo4bobo2b2o5b2obo3b5o4bob3o2b2ob2ob4o2b4o3bob2obobo\$5b7o2b2o3bobo3b
2ob3obo2b2ob2o2b5o2bo2bob2o4b5o3bo2bo3b5o2bo4b2o4b6o2bo2bo3b2o3b4o2b3o
bob4ob3o3bo2bo2b3ob5o\$ob3o2b3obobobo2bob6o3bo2bobo2b2ob2o2bobob3ob2ob
3o2b4o2bob3obobob3obob3ob3ob2obo2b3o2b3ob2obo2bo4b2o3bo2b3o2bobob5obob
3obo2b3o\$bob3ob3ob2o2b2o3bob11ob3ob2o2bobobob2ob2o3bobo3b2obo3bo3b6obo
b4o3bob2o7bobo2b2obob2o2b3o2b2o5bo3bo2b4ob3o4bo3bo\$3ob3o2b4ob2obobob2o
bo2b5ob2obo2bo2bo2b2obobob4obobo3bobobobo2b4o6bobo4bobobobob2o4b3o2b2o
3bob2o2b2o3b2ob3o2bob4o2bobobo2bo2bo\$bo3bo2b2obo3b2o2b3o3b2obob3obob4o
bobobo2bobo2bo3b2ob3o2bob2o7b6obob3ob3o3b4obo3b2obo3b2obo2b2obo2b3obo
2bob4o3b5o\$4ob2obobob2o3bo3b2obobo3bobo2b4o4b2ob3ob2ob2o4bob2o2b6ob3o
2b2o2bo2bo2bo3bobo2bob2ob2obob3o4b3obo2b2ob3obo2b5obob2obob2obo\$2b4o3b
2ob2o2b3obo6b3o2bo2b3o4b2o3bo3b2o2bo5b2ob2ob2obo3b3ob2obobob4obo3bob2o
5bo6bo3bo6b4o3b5ob2o4b3o5bobo\$4bo2b2o7b2o2b6ob2o2b4o4b2ob5obo2b6o4b3o
2b4o5b2o2b4ob3obobo3b2ob5o2bo3b3o2b2ob2o2bob3o2b3o6bobo2bo3b4o\$2ob3obo
3b2o4bo3bob2o4bobo4b3obob2o2bobo4b6o2bo2b3o2bo2b5obo2b2o2bobob3o3bob3o
bob4o4bo5b4o2b5o2b2ob2ob5ob4ob2obo\$b3obo2b2obo3b2o2bob3ob2o2b2ob2obob
2ob8obobo2b4o4b9o4bo5b2o3bob2o2b5o2bob8o7b2obo2b8ob2o3b2obo3bo2b2o\$2ob
3ob2ob2ob3o5bo5b2o6b5o2bob2o5b2o4b2ob2obob3o7bobo3bobob3ob2obo2b2ob2o
5bo2bo6bo2b2o2b6ob2o3b9o2b3obo\$2bo2b6obo2bob11obo2bob5obo8b2ob3o2bobo
5b4o3bo5b3ob2obo3bo3b5o2b3ob2o2bo2b3o6b2ob2obobo3bo3b3obo2b5ob2o\$b3ob
4obo2b3o2bo3bob5ob3obob7obob4ob4o3bo2b3ob2ob4o5b2obo9bo2b4o3bob2ob2ob
3o8bobo7bo2bobobob3ob2obo4bo\$obo3bobo4b5o2bob2ob2o2b4o4b2obob3obo3b2o
2bo2b2obob2obo2bobo3b3ob2o2bo3bob2o3bo5b2o3bob4obo7bo2b4ob3ob3obo2b3o
2bobobob2o\$o2b2o3b3ob2obo2b2o3bobob2ob2obob3o3b2o2bo3b2ob3o2b2ob2o2b3o
b2ob3ob2ob6ob3o2b2obo3b2ob3obobob3o2b4o7b2o3b2ob3o2bob3obobob3o\$o2b3ob
2ob4ob5obo3bob2ob2ob3obobo2b2o2bo3bo4b2o3bob3o4bobobo4bobob3o2b2o2b3o
2b10ob4o2b2o2b2ob2ob3ob10ob3o3bo3bo\$3bo2b4ob2obo3b3o2b2obo2b3ob2o6b2ob
2obob3o2bob2ob3obo2b5ob3o2b2ob2o3bo2b2ob4o2b2o4b2o2b3ob2obo2b4ob6ob2ob
obobo3b4o2bo3bo\$o2b4ob3o2b2ob3obobob4o2bobobo3b5ob2o2b4o2b2ob2o4b2obob
3obo4b3ob3o3bo2b2o4b2o3b6ob2obo4bo5b2o3bo4b2ob4o2b2obo2bo\$2o2bobob5o5b
2o2bo2bobob2o4b3o4bobo3b4o2b4ob2o5b2o2bobobo2b2o2b8o2bobob2o4b2obobo2b
2obo3bobo5bo2b3o4bo3b3o3b6o\$o2b4ob2ob2ob2o2bo2bob3obobobo2bobob4obobo
2bo6bo2bobobo3bobo3bo2bo3b2obobo3b2o2b2o3b4o6b2o3b3ob2ob2o6b2obobobobo
3bo6bob2o\$2obo5b4o2b2obobo2b2ob3o2bo2bob4obo2bo2b2ob2o4bo2b2o3b5o2bob
2ob2obo4bob6obo3bobob4o3bobob2obob4obob4ob2obob4obob7obo\$o2bo3b5ob3o2b
2o2bo3b3o2bobobo2b2obob3o7b2ob3obo2bob2o7bo2b2ob3obo4bo3bob4ob2obob4ob
2o2b2obobo2bo3bo5bobob4obob3o3b2o\$b3obob3o2b3o2b5ob2o4bob2o2bob2ob2o2b
o4bo2bobobo2b3o2b2o3bo3bobob3ob5o2bobob4obobob2o2bobo2bob2o3bo2b4o3b3o
b2obob5o3b3o\$b3obo8bobo4bo2bobob3o7bobob4o3bo3b3obo2b2ob3o2b2o2b2ob2o
3bo2b2o2b4ob2o2bo2bo6b2ob2ob4o2b4o2bob2obob2ob3o2b3obobo2b3o\$3b3o2b5o
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``````

Moosey
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### Re: Smallest long-lived methuselahs

77topaz wrote:
November 8th, 2019, 12:05 am
Somewhat off-topic, but since the tetration rule doesn't have its own thread I wanted to note that it's surprisingly non-explosive (and cool-looking) from soup:

Code: Select all

``````soup
``````
There's a neat square-root reaction in the southwest corner, rakes in the central south and southwest and linear replicators in the central west and central north. But it does not appear to explode quadratically.

It's also interesting to look at the behaviours of straight lines of cells in this rule. A line of 17 cells appears to become a sort of sawtooth related to the tetration methuselae:

Code: Select all

``````x = 17, y = 1, rule = B2a3ijry4ity5ey/S3i4ent5er6i
17o!
``````
[Snip]
Yeah, I initially investigated the rule because it had that sqrt reaction, then I noticed the tetrational sawtooth, and then I noticed the tetrationally long-lived methuselahs.

I'm kinda disappointed that everyone still thinks that the rule's methuselahs don't count in this thread simply because they become linear growth. After all, it's trivial to make 2-state isotopic ones that definitely stabilize and beat toroidalet's 2^2^500 gen one or whatever it was by far.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Nanho walåt derwo esaato?