Longest lasting patterns

[drc]

No limit.

from this thread:

viewtopic.php?f=12&t=2116

[biggiemac]

I'm struggling to imagine a definition of "longest lasting" that applies to arbitrary patterns and that inspires creativity instead of just cheap answers.

Here's my thought. If I post a glider it stays active forever. Okay, duh we exclude gliders that point off to infinity as we do when categorizing methuselahs. So instead we use a standard methuselah but put a rectifier that an emitted glider interacts with N ticks later for ridiculously large N. Now the glider isn't pointing to infinity, and it'll come back to the start. Okay, no cheap tricks with a giant bounding box because that makes things less notable. But then we just use spaceships as our reflector so it starts close by, and build it to catch the latest gliders emitted every time to maximize generations, yadda yadda yadda..

I guess there are some creative ways to try to rig a defect in an engineered pattern to only cause a problem after some enormous number of generations. Like in the original thread with the recursive filtering. Or in the Fermat prime counter that only breaks at the 5th Fermat prime (it is not known whether there even is a 5th but it is bounded below by a very large number). Or I could imagine a similar construct that only broke if the Goldbach conjecture was false.

What I'm hoping to see are patterns that are eventually definitely dead, but don't reach that point until a surprisingly long time, where what constitutes surprising depends on the initial appearance of the pattern. I just don't see a way to quantify that goal, and I know I personally only really get interested in contests if there is a quantitative leaderboard..

[dvgrn]

I'm struggling to imagine a definition of "longest lasting" that applies to arbitrary patterns and that inspires creativity instead of just cheap answers...

This all matches my thoughts on the no-limits-longest-lasting pattern pretty well, so I won't repeat any of it.

It's fairly easy with existing technology to write a Golly script that accepts an arbitrarily large number N as input, and generates a pattern that lasts longer than N ticks and then self-destructs -- optionally leaving nothing but empty space, though that's just a fancy add-on and would be a little more difficult.

The size of the initial pattern could be arranged to increase very very slowly with N, or stay the same size for pretty much any N if the base pattern includes a universal computer and a reasonable amount of program space.

Or the size of the maximum bounding box of the pattern could be arranged to increase as O(sqrt(log(N))), I think -- can't do better than that, right?

So then once this hypothetical script exists, it seems like all we're left with is optimization -- a better script with a more efficient gargantupattern design could handle bigger numbers before crashing Golly.

It all seems like a lot of work for something that's bound to crash Golly eventually anyway...!

[Kiran]

Or the size of the maximum bounding box of the pattern could be arranged to increase as O(sqrt(log(N))), I think -- can't do better than that, right?

Yes, we can, this is an rle from my post in the original "my stupid challenge" thread:

Code: Select all

x = 556, y = 1047, rule = B3/S23
83bo7bo$82b3o5bobo$81b2ob4o2bo2bo$82b3o2bo$83bo2b2o2bo$87b2obobo$91bo
10b2o$102b2o5$67bo$66b3o$65b2ob2o40b2o$66b3o41b2o$67bo$67bobo$67b4o$
70bo2$66b2ob2o5b3o$65bo5bo46b2o$66bo3bo9b2o36b2o$67bo14bo$76b4obo$57bo
7bo10b5o$56b3o5bobo$55b2ob4o2bo2bo39bo$56b3o2bo14bobo27bobo$57bo2b2o2b
o11bobo27bo2b2o$61b2obobo10bo26b7o$65bo10bobo24bo2bo3bo$77b2o23b3o2b7o
$77bo26b3o2bo$100bo4b2ob2o$99b2o5b3obo2bo$98bob2o5b3ob2o$98bo2b2o7bo$
96b4ob3o$95bo2bobo2b2o$61bo34bobobob3o$60b4o6b2o25b2ob3obo$59bo4bo4b3o
b2o22b4o2bobo$58b2o10b2ob3o24bo3bo$59bobob2o4b3ob2o25bo3bo$60b3o6b2o
29bo2bo$61bo5$64b2o$64b2o$81bo$80bobo$80bo2b2o$78b7o$77bo2bo3bo$76b3o
2b7o$72b2o4b3o2bo$72b2o5b2ob2o$80b3obo2bo$81b3ob2o$84bo4$80b2o$80b2o
36$193b2o$193b2o8$194bo$193b3o$192b5o$161bo29b2o3b2o$160b2o$160bobo2$
193b3o$193b3o2$196bo$195bobo$194bo3bo$195b3o$188bo4b2o3b2o$188bobo$
188b2o7$193b2o8bo$179b2o13bo6b3o$191b3o6bo$191bo8b2o4$181bo$179b3o$
178bo$178b2o11bo$190b2o3b2o3b2o$190bobo$166bo29bo3bo$165bo31b3o$165b3o
8bo8bo11b3o$175b3o7b2o$174b5o5bobo$173bobobobo16bo$173b2o3b2o15b3o$
120b2o72bo3bo$119b3o74bo$116bob2o15bo42b2o13bo5bo$103bo12bo2bo8b3o4bob
o40b2o13bo5bo$102bobo11bob2o16bobo41bo13bo3bo$92b2o7bob2o14b3o2b2o2bo
7bo2bo3b2o33b3o14b3o$35bo55bobo6b2ob2o15b2o2bo3bo7bobo4b2o31bo$34bobo
53bo6b3obob2o20bo2bo6bobo38b5o$33bob2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o
8bo41b2o$9b2o16b2o3b2ob2o14bobo27b2o7bo6b2o4bo$9b2o16b2o4bob2o13bo6b2o
32bobo$34bobo13bo2bo2bo2bob2o29b2o63bo17b2o3b2o$35bo5bo8bo6b2o2b2o10b
2o42bo39b3o16b5o$41bobo7bobo19bobo28bobo10bobo40bo15b2ob2o$41b2o9b2o
14b2o6bo11bobo14b2o10b2o40b2o15b2ob2o14b2o$60bo6bo2bo2bo2bo10bo2bo4bo
9bo71b3o15b2o$60b4o4b2o6bo9b2o5b2o$44bo16b4o8bobo8b2o3bo8b2o$43bobo5b
2o8bo2bo8b2o11b2o10b2o$34bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$33bo7b
2o3bo4bobob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$7b5o21b3o5b2o3bo5b2o3bo2b
o16b2o34b2o50bo12b2o$6bob3obo25b2o3bobo10bo55b2o38b2o19b2o3b2o$7bo3bo
25bobo4bo8bo2bo95b2o19b2o$8b3o26bo136bo$9bo26b2o132b4o$169bo3bo$26bo
36bo5bobo97b3o$26bobo6b2o4bo4b2o16bo4b2o100b2o$7bo18b2o6bo2bobo3bobo2b
o13b3o5bo102bo$7bo26b3o9b3o125bo4b2o56bobo$6bobo5bo22b2o5b2o29b2o96bo
5b2o52b3o3bo$5b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$4bo5bo2b2o21b2o7b
2o172b2o8bo6bo3b2o$7bo211b3o7bob2o2b2obo$4b2o3b2o60bo55bo92bo2bobob2o
2bo6bo3bo$23b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$22b4o
13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$22b2ob2o10b2ob2o
10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$o23b2o11b4o13b2o28b2o28b2o
101bo2b2o2bo2bo8b6o2bobo$3o35b2o52b4o26b4o93b2o2b2o3b4o3bo6bo2bo$3bo5b
2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$2b2o5bo85bo29bo93b3o7bob2o2b2obo
$10b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$12bo4b2o41bo5bo111bo54b2o5b2o
$18b2o32bo5bobo5b2o111bo53b3o3bo$17bo34bobo3b2o5bobo9b2o98b3o48bo8bobo
$35bo17bobo22bo147b3o$2b2obob2o26b2o16bo2bo21bobo7b2o135bo$2bo5bo21b2o
4b2o15bobo17b2o4b2o7b2o135b2o$3bo3bo18b2o2b2o4b3o13bobo17b2o11b2o10bo
4bo$4b3o3bo15b2o2b2o4b2o7bobo4bo21bo9b3o10bo4bobo$10b2o23b2o9b2o37b2o
10bo7b2o$9bobo23bo10bo41b2o2b2o11b2o4b2o$88b2o2bo2b2o8b2o4b2o116b2o5b
2o$93b4o5bobo124b2o5b2o$94bo7bo117bo$217b3o12b2o$213b2obo15b2o$7bo43bo
161bo4bo$7bo43b2o161b3o$6bobo30bobo8bobo$5b2ob2o29bo3bo165b2o$4bo5bo
18b2o12bo10b2o153b2o$7bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$4b2o3b2o32bo7bo
7b2o3bo22b2o9bobo104b2o5b2o$39bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b
2o$39bobo9bo7b5o17bobo12b3o4bo2b4o$6bo45bo2bo18b2o3b2o3bo12b3o4b2o$6bo
47b2o18b2o3b2o3bo13bobo$5bo73b2o3bo14b2o$81bobo$82bo$7b2o$7b2o200bo$
208b2o$208b3o$210b2o$210b2o5$164b2o$163b3o$160bob2o15bo$147bo12bo2bo8b
3o4bobo$146bobo11bob2o16bobo$136b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$79bo
55bobo6b2ob2o15b2o2bo3bo7bobo4b2o$78bobo53bo6b3obob2o20bo2bo6bobo$77bo
b2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$53b2o16b2o3b2ob2o14bobo27b2o7bo
6b2o4bo$53b2o16b2o4bob2o13bo6b2o32bobo$78bobo13bo2bo2bo2bob2o29b2o63bo
$79bo5bo8bo6b2o2b2o10b2o42bo39b3o$85bobo7bobo19bobo28bobo10bobo40bo$
85b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$104bo6bo2bo2bo2bo10bo2bo4bo9bo$
104b4o4b2o6bo9b2o5b2o$88bo16b4o8bobo8b2o3bo8b2o$87bobo5b2o8bo2bo8b2o
11b2o10b2o$78bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$77bo7b2o3bo4bobob2o
3b4o12b2o10bobo21bo35b2o5b2o7bo$51b5o21b3o5b2o3bo5b2o3bo2bo16b2o34b2o
50bo$50bob3obo25b2o3bobo10bo55b2o38b2o19b2o$51bo3bo25bobo4bo8bo2bo95b
2o19b2o$52b3o26bo136bo$53bo26b2o132b4o$213bo3bo$70bo36bo5bobo97b3o$70b
obo6b2o4bo4b2o16bo4b2o100b2o$51bo18b2o6bo2bobo3bobo2bo13b3o5bo102bo$
51bo26b3o9b3o125bo4b2o56bobo$50bobo5bo22b2o5b2o29b2o96bo5b2o52b3o3bo$
49b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$48bo5bo2b2o21b2o7b2o172b2o8bo
6bo3b2o$51bo211b3o7bob2o2b2obo$48b2o3b2o60bo55bo92bo2bobob2o2bo6bo3bo$
67b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$66b4o13b2o11b4o
14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$66b2ob2o10b2ob2o10b2ob2o
25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$44bo23b2o11b4o13b2o28b2o28b2o101bo
2b2o2bo2bo8b6o2bobo$44b3o35b2o52b4o26b4o93b2o2b2o3b4o3bo6bo2bo$47bo5b
2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$46b2o5bo85bo29bo93b3o7bob2o2b2ob
o$54b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$56bo4b2o41bo5bo111bo54b2o5b
2o$62b2o32bo5bobo5b2o111bo53b3o3bo$61bo34bobo3b2o5bobo9b2o98b3o48bo8bo
bo$79bo17bobo22bo147b3o$46b2obob2o26b2o16bo2bo21bobo7b2o135bo$46bo5bo
21b2o4b2o15bobo17b2o4b2o7b2o135b2o$47bo3bo18b2o2b2o4b3o13bobo17b2o11b
2o10bo4bo$48b3o3bo15b2o2b2o4b2o7bobo4bo21bo9b3o10bo4bobo$54b2o23b2o9b
2o37b2o10bo7b2o$53bobo23bo10bo41b2o2b2o11b2o4b2o$132b2o2bo2b2o8b2o4b2o
116b2o5b2o$137b4o5bobo124b2o5b2o$138bo7bo117bo$261b3o12b2o$257b2obo15b
2o$51bo43bo161bo4bo$51bo43b2o161b3o$50bobo30bobo8bobo$49b2ob2o29bo3bo
165b2o$48bo5bo18b2o12bo10b2o153b2o$51bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$
48b2o3b2o32bo7bo7b2o3bo22b2o9bobo104b2o5b2o$83bo3bo7bo6bo5bo17bo6bo7b
3o4b2ob3o95b2o5b2o$83bobo9bo7b5o17bobo12b3o4bo2b4o$50bo45bo2bo18b2o3b
2o3bo12b3o4b2o$50bo47b2o18b2o3b2o3bo13bobo$49bo73b2o3bo14b2o$125bobo$
126bo$51b2o$51b2o200bo$252b2o$252b3o$254b2o$254b2o5$208b2o$207b3o$204b
ob2o15bo$191bo12bo2bo8b3o4bobo$190bobo11bob2o16bobo$180b2o7bob2o14b3o
2b2o2bo7bo2bo3b2o$123bo55bobo6b2ob2o15b2o2bo3bo7bobo4b2o$122bobo53bo6b
3obob2o20bo2bo6bobo$121bob2o15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$97b2o
16b2o3b2ob2o14bobo27b2o7bo6b2o4bo$97b2o16b2o4bob2o13bo6b2o32bobo$122bo
bo13bo2bo2bo2bob2o29b2o63bo$123bo5bo8bo6b2o2b2o10b2o42bo39b3o$129bobo
7bobo19bobo28bobo10bobo40bo$129b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$
148bo6bo2bo2bo2bo10bo2bo4bo9bo$148b4o4b2o6bo9b2o5b2o$132bo16b4o8bobo8b
2o3bo8b2o$131bobo5b2o8bo2bo8b2o11b2o10b2o$122bo6b2o3bo14b4o13bo8bo2bo
57b2o5b2o7b3o$121bo7b2o3bo4bobob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$95b
5o21b3o5b2o3bo5b2o3bo2bo16b2o34b2o50bo$94bob3obo25b2o3bobo10bo55b2o38b
2o19b2o$95bo3bo25bobo4bo8bo2bo95b2o19b2o$96b3o26bo136bo$97bo26b2o132b
4o$257bo3bo$114bo36bo5bobo97b3o$114bobo6b2o4bo4b2o16bo4b2o100b2o$95bo
18b2o6bo2bobo3bobo2bo13b3o5bo102bo$95bo26b3o9b3o125bo4b2o56bobo$94bobo
5bo22b2o5b2o29b2o96bo5b2o52b3o3bo$93b2ob2o2bobo21bo2b5o2bo28b2o156b2o
5b2o$92bo5bo2b2o21b2o7b2o172b2o8bo6bo3b2o$95bo211b3o7bob2o2b2obo$92b2o
3b2o60bo55bo92bo2bobob2o2bo6bo3bo$111b2o28b2o14bobo11b2o28b2o13b2o89b
2o2b2o3b4o3bo6bo2bo$110b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo
8b6o2bobo$110b2ob2o10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo
$88bo23b2o11b4o13b2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$88b3o35b2o52b4o
26b4o93b2o2b2o3b4o3bo6bo2bo$91bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3b
o$90b2o5bo85bo29bo93b3o7bob2o2b2obo$98b3o47b2o29bo2bo26bo2bo94b2o8bo6b
o3b2o$100bo4b2o41bo5bo111bo54b2o5b2o$106b2o32bo5bobo5b2o111bo53b3o3bo$
105bo34bobo3b2o5bobo9b2o98b3o48bo8bobo$123bo17bobo22bo147b3o$90b2obob
2o26b2o16bo2bo21bobo7b2o135bo$90bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b
2o$91bo3bo18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$92b3o3bo15b2o2b2o4b2o7b
obo4bo21bo9b3o10bo4bobo$98b2o23b2o9b2o37b2o10bo7b2o$97bobo23bo10bo41b
2o2b2o11b2o4b2o$176b2o2bo2b2o8b2o4b2o116b2o5b2o$181b4o5bobo124b2o5b2o$
182bo7bo117bo$305b3o12b2o$301b2obo15b2o$95bo43bo161bo4bo$95bo43b2o161b
3o$94bobo30bobo8bobo$93b2ob2o29bo3bo165b2o$92bo5bo18b2o12bo10b2o153b2o
$95bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$92b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$127bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$127bobo9bo7b5o
17bobo12b3o4bo2b4o$94bo45bo2bo18b2o3b2o3bo12b3o4b2o$94bo47b2o18b2o3b2o
3bo13bobo$93bo73b2o3bo14b2o$169bobo$170bo$95b2o$95b2o200bo$296b2o$296b
3o$298b2o$298b2o5$252b2o$251b3o$248bob2o15bo$235bo12bo2bo8b3o4bobo$
234bobo11bob2o16bobo$224b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$167bo55bobo6b
2ob2o15b2o2bo3bo7bobo4b2o$166bobo53bo6b3obob2o20bo2bo6bobo$165bob2o15b
2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$141b2o16b2o3b2ob2o14bobo27b2o7bo6b2o
4bo$141b2o16b2o4bob2o13bo6b2o32bobo$166bobo13bo2bo2bo2bob2o29b2o63bo$
167bo5bo8bo6b2o2b2o10b2o42bo39b3o$173bobo7bobo19bobo28bobo10bobo40bo$
173b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$192bo6bo2bo2bo2bo10bo2bo4bo9bo
$192b4o4b2o6bo9b2o5b2o$176bo16b4o8bobo8b2o3bo8b2o$175bobo5b2o8bo2bo8b
2o11b2o10b2o$166bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$165bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$139b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$138bob3obo25b2o3bobo10bo55b2o38b2o19b2o$139bo3bo25bobo4bo8bo
2bo95b2o19b2o$140b3o26bo136bo$141bo26b2o132b4o$301bo3bo$158bo36bo5bobo
97b3o$158bobo6b2o4bo4b2o16bo4b2o100b2o$139bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$139bo26b3o9b3o125bo4b2o56bobo$138bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$137b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$136bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$139bo211b3o7bob2o2b2obo$136b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$155b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
154b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$154b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$132bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$132b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$135bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$134b2o5bo85bo
29bo93b3o7bob2o2b2obo$142b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$144bo4b
2o41bo5bo111bo54b2o5b2o$150b2o32bo5bobo5b2o111bo53b3o3bo$149bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$167bo17bobo22bo147b3o$134b2obob2o26b2o16bo2b
o21bobo7b2o135bo$134bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$135bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$136b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$142b2o23b2o9b2o37b2o10bo7b2o$141bobo23bo10bo41b2o2b2o
11b2o4b2o$220b2o2bo2b2o8b2o4b2o116b2o5b2o$225b4o5bobo124b2o5b2o$226bo
7bo117bo$349b3o12b2o$345b2obo15b2o$139bo43bo161bo4bo$139bo43b2o161b3o$
138bobo30bobo8bobo$137b2ob2o29bo3bo165b2o$136bo5bo18b2o12bo10b2o153b2o
$139bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$136b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$171bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$171bobo9bo7b5o
17bobo12b3o4bo2b4o$138bo45bo2bo18b2o3b2o3bo12b3o4b2o$138bo47b2o18b2o3b
2o3bo13bobo$137bo73b2o3bo14b2o$213bobo$214bo$139b2o$139b2o200bo$340b2o
$340b3o$342b2o$342b2o5$296b2o$295b3o$292bob2o15bo$279bo12bo2bo8b3o4bob
o$278bobo11bob2o16bobo$268b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$211bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$210bobo53bo6b3obob2o20bo2bo6bobo$209bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$185b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$185b2o16b2o4bob2o13bo6b2o32bobo$210bobo13bo2bo2bo2bob2o29b2o63bo
$211bo5bo8bo6b2o2b2o10b2o42bo39b3o$217bobo7bobo19bobo28bobo10bobo40bo$
217b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$236bo6bo2bo2bo2bo10bo2bo4bo9bo
$236b4o4b2o6bo9b2o5b2o$220bo16b4o8bobo8b2o3bo8b2o$219bobo5b2o8bo2bo8b
2o11b2o10b2o$210bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$209bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$183b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$182bob3obo25b2o3bobo10bo55b2o38b2o19b2o$183bo3bo25bobo4bo8bo
2bo95b2o19b2o$184b3o26bo136bo$185bo26b2o132b4o$345bo3bo$202bo36bo5bobo
97b3o$202bobo6b2o4bo4b2o16bo4b2o100b2o$183bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$183bo26b3o9b3o125bo4b2o56bobo$182bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$181b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$180bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$183bo211b3o7bob2o2b2obo$180b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$199b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
198b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$198b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$176bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$176b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$179bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$178b2o5bo85bo
29bo93b3o7bob2o2b2obo$186b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$188bo4b
2o41bo5bo111bo54b2o5b2o$194b2o32bo5bobo5b2o111bo53b3o3bo$193bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$211bo17bobo22bo147b3o$178b2obob2o26b2o16bo2b
o21bobo7b2o135bo$178bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$179bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$180b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$186b2o23b2o9b2o37b2o10bo7b2o$185bobo23bo10bo41b2o2b2o
11b2o4b2o$264b2o2bo2b2o8b2o4b2o116b2o5b2o$269b4o5bobo124b2o5b2o$270bo
7bo117bo$393b3o12b2o$389b2obo15b2o$183bo43bo161bo4bo$183bo43b2o161b3o$
182bobo30bobo8bobo$181b2ob2o29bo3bo165b2o$180bo5bo18b2o12bo10b2o153b2o
$183bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$180b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$215bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$215bobo9bo7b5o
17bobo12b3o4bo2b4o$182bo45bo2bo18b2o3b2o3bo12b3o4b2o$182bo47b2o18b2o3b
2o3bo13bobo$181bo73b2o3bo14b2o$257bobo$258bo$183b2o$183b2o200bo$384b2o
$384b3o$386b2o$386b2o5$340b2o$339b3o$336bob2o15bo$323bo12bo2bo8b3o4bob
o$322bobo11bob2o16bobo$312b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$255bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$254bobo53bo6b3obob2o20bo2bo6bobo$253bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$229b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$229b2o16b2o4bob2o13bo6b2o32bobo$254bobo13bo2bo2bo2bob2o29b2o63bo
$255bo5bo8bo6b2o2b2o10b2o42bo39b3o$261bobo7bobo19bobo28bobo10bobo40bo$
261b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$280bo6bo2bo2bo2bo10bo2bo4bo9bo
$280b4o4b2o6bo9b2o5b2o$264bo16b4o8bobo8b2o3bo8b2o$263bobo5b2o8bo2bo8b
2o11b2o10b2o$254bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$253bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$227b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$226bob3obo25b2o3bobo10bo55b2o38b2o19b2o$227bo3bo25bobo4bo8bo
2bo95b2o19b2o$228b3o26bo136bo$229bo26b2o132b4o$389bo3bo$246bo36bo5bobo
97b3o$246bobo6b2o4bo4b2o16bo4b2o100b2o$227bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$227bo26b3o9b3o125bo4b2o56bobo$226bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$225b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$224bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$227bo211b3o7bob2o2b2obo$224b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$243b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
242b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$242b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$220bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$220b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$223bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$222b2o5bo85bo
29bo93b3o7bob2o2b2obo$230b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$232bo4b
2o41bo5bo111bo54b2o5b2o$238b2o32bo5bobo5b2o111bo53b3o3bo$237bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$255bo17bobo22bo147b3o$222b2obob2o26b2o16bo2b
o21bobo7b2o135bo$222bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$223bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$224b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$230b2o23b2o9b2o37b2o10bo7b2o$229bobo23bo10bo41b2o2b2o
11b2o4b2o$308b2o2bo2b2o8b2o4b2o116b2o5b2o$313b4o5bobo124b2o5b2o$314bo
7bo117bo$437b3o12b2o$433b2obo15b2o$227bo43bo161bo4bo$227bo43b2o161b3o$
226bobo30bobo8bobo$225b2ob2o29bo3bo165b2o$224bo5bo18b2o12bo10b2o153b2o
$227bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$224b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$259bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$259bobo9bo7b5o
17bobo12b3o4bo2b4o$226bo45bo2bo18b2o3b2o3bo12b3o4b2o$226bo47b2o18b2o3b
2o3bo13bobo$225bo73b2o3bo14b2o$301bobo$302bo$227b2o$227b2o200bo$428b2o
$428b3o$430b2o$430b2o5$384b2o$383b3o$380bob2o15bo$367bo12bo2bo8b3o4bob
o$366bobo11bob2o16bobo$356b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$299bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$298bobo53bo6b3obob2o20bo2bo6bobo$297bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$273b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$273b2o16b2o4bob2o13bo6b2o32bobo$298bobo13bo2bo2bo2bob2o29b2o63bo
$299bo5bo8bo6b2o2b2o10b2o42bo39b3o$305bobo7bobo19bobo28bobo10bobo40bo$
305b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$324bo6bo2bo2bo2bo10bo2bo4bo9bo
$324b4o4b2o6bo9b2o5b2o$308bo16b4o8bobo8b2o3bo8b2o$307bobo5b2o8bo2bo8b
2o11b2o10b2o$298bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$297bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$271b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$270bob3obo25b2o3bobo10bo55b2o38b2o19b2o$271bo3bo25bobo4bo8bo
2bo95b2o19b2o$272b3o26bo136bo$273bo26b2o132b4o$433bo3bo$290bo36bo5bobo
97b3o$290bobo6b2o4bo4b2o16bo4b2o100b2o$271bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$271bo26b3o9b3o125bo4b2o56bobo$270bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$269b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$268bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$271bo211b3o7bob2o2b2obo$268b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$287b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
286b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$286b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$264bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$264b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$267bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$266b2o5bo85bo
29bo93b3o7bob2o2b2obo$274b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$276bo4b
2o41bo5bo111bo54b2o5b2o$282b2o32bo5bobo5b2o111bo53b3o3bo$281bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$299bo17bobo22bo147b3o$266b2obob2o26b2o16bo2b
o21bobo7b2o135bo$266bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$267bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$268b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$274b2o23b2o9b2o37b2o10bo7b2o$273bobo23bo10bo41b2o2b2o
11b2o4b2o$352b2o2bo2b2o8b2o4b2o116b2o5b2o$357b4o5bobo124b2o5b2o$358bo
7bo117bo$481b3o12b2o$477b2obo15b2o$271bo43bo161bo4bo$271bo43b2o161b3o$
270bobo30bobo8bobo$269b2ob2o29bo3bo165b2o$268bo5bo18b2o12bo10b2o153b2o
$271bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$268b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$303bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$303bobo9bo7b5o
17bobo12b3o4bo2b4o$270bo45bo2bo18b2o3b2o3bo12b3o4b2o$270bo47b2o18b2o3b
2o3bo13bobo$269bo73b2o3bo14b2o$345bobo$346bo$271b2o$271b2o200bo$472b2o
$472b3o$474b2o$474b2o5$428b2o$427b3o$424bob2o15bo$411bo12bo2bo8b3o4bob
o$410bobo11bob2o16bobo$400b2o7bob2o14b3o2b2o2bo7bo2bo3b2o$343bo55bobo
6b2ob2o15b2o2bo3bo7bobo4b2o$342bobo53bo6b3obob2o20bo2bo6bobo$341bob2o
15b2o27b2o7bo2bo2bo2bo2bobo20b2o8bo$317b2o16b2o3b2ob2o14bobo27b2o7bo6b
2o4bo$317b2o16b2o4bob2o13bo6b2o32bobo$342bobo13bo2bo2bo2bob2o29b2o63bo
$343bo5bo8bo6b2o2b2o10b2o42bo39b3o$349bobo7bobo19bobo28bobo10bobo40bo$
349b2o9b2o14b2o6bo11bobo14b2o10b2o40b2o$368bo6bo2bo2bo2bo10bo2bo4bo9bo
$368b4o4b2o6bo9b2o5b2o$352bo16b4o8bobo8b2o3bo8b2o$351bobo5b2o8bo2bo8b
2o11b2o10b2o$342bo6b2o3bo14b4o13bo8bo2bo57b2o5b2o7b3o$341bo7b2o3bo4bob
ob2o3b4o12b2o10bobo21bo35b2o5b2o7bo$315b5o21b3o5b2o3bo5b2o3bo2bo16b2o
34b2o50bo$314bob3obo25b2o3bobo10bo55b2o38b2o19b2o$315bo3bo25bobo4bo8bo
2bo95b2o19b2o$316b3o26bo136bo$317bo26b2o132b4o$477bo3bo$334bo36bo5bobo
97b3o$334bobo6b2o4bo4b2o16bo4b2o100b2o$315bo18b2o6bo2bobo3bobo2bo13b3o
5bo102bo$315bo26b3o9b3o125bo4b2o56bobo$314bobo5bo22b2o5b2o29b2o96bo5b
2o52b3o3bo$313b2ob2o2bobo21bo2b5o2bo28b2o156b2o5b2o$312bo5bo2b2o21b2o
7b2o172b2o8bo6bo3b2o$315bo211b3o7bob2o2b2obo$312b2o3b2o60bo55bo92bo2bo
bob2o2bo6bo3bo$331b2o28b2o14bobo11b2o28b2o13b2o89b2o2b2o3b4o3bo6bo2bo$
330b4o13b2o11b4o14b2o10b4o26b4o11b2o88bo2b2o2bo2bo8b6o2bobo$330b2ob2o
10b2ob2o10b2ob2o25b2ob2o25b2ob2o100bo2b2o3bo18bo2bo$308bo23b2o11b4o13b
2o28b2o28b2o101bo2b2o2bo2bo8b6o2bobo$308b3o35b2o52b4o26b4o93b2o2b2o3b
4o3bo6bo2bo$311bo5b2o80bo3bo25bo3bo94bo2bobob2o2bo6bo3bo$310b2o5bo85bo
29bo93b3o7bob2o2b2obo$318b3o47b2o29bo2bo26bo2bo94b2o8bo6bo3b2o$320bo4b
2o41bo5bo111bo54b2o5b2o$326b2o32bo5bobo5b2o111bo53b3o3bo$325bo34bobo3b
2o5bobo9b2o98b3o48bo8bobo$343bo17bobo22bo147b3o$310b2obob2o26b2o16bo2b
o21bobo7b2o135bo$310bo5bo21b2o4b2o15bobo17b2o4b2o7b2o135b2o$311bo3bo
18b2o2b2o4b3o13bobo17b2o11b2o10bo4bo$312b3o3bo15b2o2b2o4b2o7bobo4bo21b
o9b3o10bo4bobo$318b2o23b2o9b2o37b2o10bo7b2o$317bobo23bo10bo41b2o2b2o
11b2o4b2o$396b2o2bo2b2o8b2o4b2o116b2o5b2o$401b4o5bobo124b2o5b2o$402bo
7bo117bo$525b3o12b2o$521b2obo15b2o$315bo43bo161bo4bo$315bo43b2o161b3o$
314bobo30bobo8bobo$313b2ob2o29bo3bo165b2o$312bo5bo18b2o12bo10b2o153b2o
$315bo21b2o8bo4bo7bo2bo7bo24b2o9b2o$312b2o3b2o32bo7bo7b2o3bo22b2o9bobo
104b2o5b2o$347bo3bo7bo6bo5bo17bo6bo7b3o4b2ob3o95b2o5b2o$347bobo9bo7b5o
17bobo12b3o4bo2b4o$314bo45bo2bo18b2o3b2o3bo12b3o4b2o$314bo47b2o18b2o3b
2o3bo13bobo$313bo73b2o3bo14b2o$389bobo$390bo$315b2o$315b2o200bo$516b2o
$516b3o$518b2o$518b2o151$276b2ob2o$275bobobobo$275bobobobo$273b2obo2bo
b2o$272bobo4bo$271bo3bobobob2o$271b3obobobo2bo$274bo2bo2b2o$271b2o$
270bo2b3o3b3o$270bobo9bobo$271bobob2ob2obob2o$273bob2ob2obo$273bobo3bo
bo$274bo5bo2$272b11o$272bo2bobobo2bo2$269b2o6bo6b2o$269bobo3b5o3bobo$
267bobob3o7b3obobo$266bobobobo9bobobobo$266bobobobob2o3b2obobobobo$
267bo3bob2obobob2obo3bo$275b2ob2o$255b2o8bo10bobo10bo8b2o$254b2o3bo4b
2o7b4ob4o7b2o4bo3b2o$253b2o2b2o4bo3b3o3bo7bo3b3o3bo4b2o2b2o$254bo4b5ob
o4bo3b3ob3o3bo4bob5o4bo$258bo4bobo23bobo4bo$255b2o3b2ob2obo7b3ob3o7bob
2ob2o3b2o$258b2o4bo25bo4b2o$248b5o3b2o5bo6b2o2b2o3b2o2b2o6bo5b2o3b5o$
248bo4b2obo2bo10b2o2b3ob3o2b2o10bo2bob2o4bo$248bo6bo18bobobobo18bo6bo$
249bo5b2obo17bobo17bob2o5bo$251b2o2bo3b2o11b4obob4o11b2o3bo2b2o$254bo
17b2o3bo3b2o17bo$252b3o20b2ob2o20b3o$251bo8bo5bo5b3obobob3o5bo5bo8bo$
251bo4bobo2b2o4b2o7bobo7b2o4b2o2bobo4bo$251bo3b2o2bob2ob2ob2ob5obobob
5ob2ob2ob2obo2b2o3bo$252bo21bobobobo21bo$253b21o3bo3b21o2$255b21o3b21o
$254bo21bobo21bo$253bo3b20ob20o3bo$250bobo2bo2bo37bo2bo2bobo$249bo2bob
o4b37o4bobo2bo$248b2o10bo33bo10b2o$247bo13b33o13bo$246b4o12bo29bo12b4o
$245bo4bo12b29o12bo4bo$245bo2bo15bo25bo15bo2bo$245bo2bo16b25o16bo2bo$
246bo19bo21bo19bo$247b4obo14b21o14bob4o$248bo3bo15bo17bo15bo3bo$249bo
19b17o19bo$249bobo18bo13bo18bobo$271b13o$248b3o21bo9bo21b3o$248b2o23b
9o23b2o$248b3o26bo26b3o$274b3ob3o$249bobo23bo3bo23bobo$249bo24bobobobo
24bo$248bo3bo21bobobobo21bo3bo$247b4obo20bo7bo20bob4o$246bo26bo7bo26bo
$245bo2bo24bo2bobo2bo24bo2bo$245bo2bo24b3o3b3o24bo2bo$245bo4bo53bo4bo$
246b4o55b4o$247bo59bo$248b2o55b2o$249bo2bo49bo2bo$250bobo49bobo!

EDIT:
The sqrt(log(t)) limit is only when the building box is counted throughout the evolution. When only the initial box is counted, it can last a lot longer than 2^(x y) where x and y are the initial building box size by growing quickly beyond its building box (as the posted pattern does).

[dvgrn]

Or the size of the maximum bounding box of the pattern could be arranged to increase as O(sqrt(log(N))), I think -- can't do better than that, right?

Yes, we can, this is an rle from my post in the original "my stupid challenge" thread...

The sqrt(log(t)) limit is only when the building box is counted throughout the evolution. When only the initial box is counted, it can last a lot longer than 2^(x y) where x and y are the initial building box size by growing quickly beyond its building box (as the posted pattern does).

Yeah, that's the same thing (I'm pretty sure) that I was trying to say with the word "maximum" in "maximum bounding box". I probably needed to say it a little longer and more carefully to make that clear.

Without some kind of limitation on the initial pattern, or the maximum-size-ever-reached for the bounding box, or something like that, this competition turns out to be about as interesting as a Think Of The Biggest Possible Integer contest.

[thunk]

Think Of The Biggest Possible Integer contest.

Side note: This has been done very successfully at the xkcd forums, and so along with dvgrn, I don't really see the point here.

I mean, I *certainly* don't know enough about the fast-growing hierarchy to get past the first 24 hours.

[Hdjensofjfnen]

How about we define "long lasting" as "eventually ending"?

P.S. Hey, remember this pseudo-methuselah in "unsure discoveries"? Credit to Alexandri098 -- it stabilizes at generation 8627 with 1020 live cells. (The incoming glider increases the lifespan by a factor of 15.)

Code: Select all

x = 160, y = 140, rule = B3/S23
bo$2bo$3o132$157b2o$156b3o$156bo2bo$158bo$154b2o2bo$155b3o!

[codeholic]

The point is that you can build a pattern, that eventually stabilizes after arbitrarily large number of generations, and you can mathematically prove it. So basically that's an argument about the largest integer one can think of.

[HotWheels9232]

Quite a jump to 16439:

Code: Select all

x = 11, y = 5, rule = B3/S23
8bo$8b2o$8bobo$b3o$o2bo!

It is discovered in March 2022 by me

[HotWheels9232]

The point is that you can build a pattern, that eventually stabilizes after arbitrarily large number of generations, and you can mathematically prove it. So basically that's an argument about the largest integer one can think of.

How about a race involving MCPS?

[HotWheels9232]

March:16438M
March:Parent of 16438M, 16439M
June:2 switch engine 19910M!

Code: Select all

x = 30, y = 27, rule = B3/S23
3b4o$2bo$2bo$2o18$29bo$29bo$29bo$27b2o$26b3o$27b2o!