Thread for basic questions

[dvgrn]

There's barely any description on how it works. Could you tell me how it works?

I don't know how it works any more than you do. It would be an interesting reverse-engineering job.

It definitely _would_ be nice to have some kind of technical summary of the various mechanisms in Kiho Park's memory unit...

Okay, now roolif has done a nice job putting together an initial summary.

[bibunsekibun]

What is the Engineered Methuselah with the highest L/MCPS ratio?

[wirehead]

What is the Engineered Methuselah with the highest L/MCPS ratio?

If you take out the self-destruct circuitry from one of the "Engineered Diehards" in this thread so that it doesn't die at the end, then that would probably win by a million light-years.

EDIT: To keep the MCPS to the minimum, the self destruct circuitry that cleanly removes either the c/5 ship OR the gun station would need to be removed (but NOT both, because then there would be two "islands" of junk and the MCPS would be as ridiculously large as the lifespan).

[Wyirm]

Is there a better way for a 0E0P metacell to work? The current method seems convoluted, although reducing it may cost more complicated circuitry. I'm not going to go into full detail, as I'm still working on the concept of moving stored information for the ISPS, but here's an outline of a faster process:
Child cell replication is the same, with the exception of diagonal child cells. Next, all the cells count their neighbors (only the parent cells will give activation signals), then the parent cells follow S transitions, and child cells follow B transitions. Could a similar system be used in a new metacell or am I just talking nonsense?

[dvgrn]

Child cell replication is the same, with the exception of diagonal child cells. Next, all the cells count their neighbors (only the parent cells will give activation signals), then the parent cells follow S transitions, and child cells follow B transitions. Could a similar system be used in a new metacell or am I just talking nonsense?

That sounds like a system that could emulate outer-totalistic ("Life-like") rules only, where the neighbor count matters but the relative configuration of neighbors doesn't.

It's definitely true that a very much smaller 0E0P metacell could be designed, especially if the new version supported a much smaller set of rules. Being able to emulate any non-B0 isotropic rule needs a lot more circuitry than just counting a number between 0 and 8.

[toroidalet]

What is the Engineered Methuselah with the highest L/MCPS ratio?

There is none. Consider a sqrtgun with n blocks. It takes n^2 generations to clear the blocks, but the MCPS is O(n), so you can get L/MCPS values as high as you want. This is a dumb example, but for any other engineered methuselah, you can make one of these with a higher L/MCPS. The 10,000-cell diehard is not actually the longest-lasting pattern known, which is this {a}:

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!

You can extend this by adding more units, or (theoretically) adding a puffer which creates an absurd number of them before being forced to stop, and further out we have Goodstein and TREE sequence calculators and busy beavers.

If we wanted to be a little more practical and find the longest-lasting pattern with the MCPS of the latest 10,000 cell diehard, the answer is also unsatisfactory: we strip everything {b} and make up for the difference in MCPS with toads at +8 MCPS per toad, advance the 58P5H1V1 to the 58-cell phase (MCPS is 64 instead of 70), and move it down all the way until it is separated by a B2n from the front toad. The optimal design would be reworked because we no longer need to worry about leaving enough room for the cleanup. If we can remove enough stuff, there might be enough to do something like Kazyan's trick to add a fuse which leaves behind many block eaters, though since it hits the c/5 spaceship it has to be triggered before that comes.
An extra optimization includes gliders sent after the 58P5H1V1 bouncing back and hitting the initial debris, maybe being sent out again and doing more damage (if gliders destroy the 58P5H1V1, it multiplies the lifespan by 5, and if they bounce back it doubles that, or triples it if they bounce twice). However, if this requires adding enough material to take away a toad, it's not worth it.

Is there a better way for a 0E0P metacell to work? The current method seems convoluted, although reducing it may cost more complicated circuitry. I'm not going to go into full detail, as I'm still working on the concept of moving stored information for the ISPS, but here's an outline of a faster process:
Child cell replication is the same, with the exception of diagonal child cells. Next, all the cells count their neighbors (only the parent cells will give activation signals), then the parent cells follow S transitions, and child cells follow B transitions. Could a similar system be used in a new metacell or am I just talking nonsense?

The 0E0P metacell was designed to be easy to design, which is why it uses the complicated emulation. The main optimizations are that cells are only constructed orthogonally to other cells, and metacells die in every generation (so we don't have to perform a survival test). While it's relatively easy to let them survive (do the survival test and add a clock to ensure they are synchronized), in order to make corner births without adding another recipe we would have to make the constructed edge cells construct corner cells, and then possibly delete them:

Code: Select all

x = 57, y = 9, rule = LifeHistory
36.D$17.E17.DCD$.A7.B6.EAE8.B6.DCACD7.B7.2A$2A8.B4.E2AE9.B4.DC2ACD8.B
6.2A$7.5B4.2E.E3.7B4.D2CDCD2.7B5.3A$.A.A6.B5.EAEAE7.B5.DCACACD6.B8.A$
2.A6.B7.EAE7.B7.DCACD6.B9.A$18.E17.DCD$37.D!

This is close enough to 2 generations of a von-Neumann neighborhood that you might as well just use a von Neumann neighborhood and not add the 4 corner inputs.
Another option is to limit yourself to rules without B1c2cn3c4c, so every born cell is orthogonally adjacent to a live cell, and skip the red-and-white step.

{a}: Actually, the use of an exploding spacefiller leaves open the possibility that a switch engine could be produced and escape, but if it does, you can remove it and add some one-time turners to destroy the caber tosser.

{b}: Yes, everything. This includes the green mangoes, the beehive syntheses (only there because we needed to add beehives outside the bounding box), the pink and yellow delayers, the orange cleanup, the eaters eating extra glider streams, and the turners. We need to have at least one extra object to ensure that the guns are all destroyed. There's probably a block or blinker that can destroy all the guns.

[qqd]

Is there any replacement for the boat-with-tail-plus-carrier catalyst in the following pattern?

Code: Select all

x = 15, y = 29, rule = B3/S23
13b2o$13b2o5$2b2o2$o2bo$4bo$o3bo$b4o13$5bo4b2o$4bobobo2bo$3bob2ob2o$3b
o$2b2o!

Also is there any way of doing inverse-octohash (that is rotate and/or filp the pattern by giving its RLE into a script or something?)

[confocaloid]

For which common evolutionary sequences there are (available somewhere) systematic enumerations of possible results of colliding the sequence with a single glider?

[dvgrn]

For which common evolutionary sequences there are (available somewhere) systematic enumerations of possible results of colliding the sequence with a single glider?

The enumeration that comes to mind is the 3G collision database -- basically, a systematic listing of all results of crashing one glider into {every evolutionary sequence that has a 2-glider synthesis}.

They're not organized in the way you want, probably, but they're (almost) all in there somewhere.

There's a script by gameoflifeboy that could be adapted to make an organized list for any target pattern(s) you might want to feed into it.

[Pavgran]

It's definitely true that a very much smaller 0E0P metacell could be designed, especially if the new version supported a much smaller set of rules. Being able to emulate any non-B0 isotropic rule needs a lot more circuitry than just counting a number between 0 and 8.

Why design smaller 0E0P when you can design bigger one?
I think a design similar to quadratic replicator with one big loop and 9 construction points will be better in terms of performance. It's not the smallness of hashtiles that counts, but their simplicity.

[calcyman]

Why design smaller 0E0P when you can design bigger one?
I think a design similar to quadratic replicator with one big loop and 9 construction points will be better in terms of performance. It's not the smallness of hashtiles that counts, but their simplicity.

Yes, having a large square loop is the way to go if you want this to be runnable in Golly. Although I maintain that you want to be using the multistate emulation technique (used by the current 0E0P metacell) so that you only need to construct 4 neighbours instead of 8 (reasons detailed below).

It's definitely true that a very much smaller 0E0P metacell could be designed, especially if the new version supported a much smaller set of rules. Being able to emulate any non-B0 isotropic rule needs a lot more circuitry than just counting a number between 0 and 8.

I'm not sure that's true: the state transition logic is a very small fraction of the total amount of circuitry. And in the other direction, if you're not using the multistate emulation technique, then you'll need to do two things:

1. make all of the logic circuitry reusable rather than single-use (because cells can survive from one generation to the next, and an existing metacell can't construct itself in the same position that it's already occupying);
2. make each cell able to build neighbours in 8 different positions, with twice as many communication paths and trombone slides and suchlike;

and those (especially 1) are going to cost a lot more than the small amount of single-use circuitry for converting a 4-digit base-8 number to a unary delay in [0, 4095].

It's probably not going to be a huge task, really, to salvage the various pieces of logic and routing circuitry from the 0E0P metacell and redesign it to use a large square loop, Pavgran-style, without functionally changing anything else. That absolutely will run in Golly (several times slower than Pavgran's quadratic replicator, but that's still orders of magnitude faster than running the 0E0P even in the specialised StreamLife algorithm), and it will incorporate some fun things such crabstretchers that were absent from the original 0E0P metacell.

Note that, other than HashLife-friendliness, the biggest saving from using a single square loop is that we no longer need to use subroutines to construct the nucleus of the 0E0P metacell. (Recall that there are literally thousands of Snarks to coil it into a very tight loop, and those are built by some temporary circuitry which contains a literal loop to repeat a 'construct pair of Snarks and retract arm' recipe several hundred times in succession, with parallel construction arms to make this happen quickly enough to outrun the glider tape as it's filling up the incompletely-constructed nucleus.)

Indeed, it's likely that the population of this would be smaller than the existing 0E0P metacell (maybe by a factor of three or so -- i.e. 6 million cells instead of 18 million). The bounding box will be about 1000x bigger in each direction, but that's a small price to pay for the ability to run this in Golly.

[dvgrn]

It's definitely true that a very much smaller 0E0P metacell could be designed, especially if the new version supported a much smaller set of rules. Being able to emulate any non-B0 isotropic rule needs a lot more circuitry than just counting a number between 0 and 8.

I'm not sure that's true: the state transition logic is a very small fraction of the total amount of circuitry...

No doubt you're right. I was thinking rather vaguely about the limit case, a version of the 0E0P metacell that is hard-coded to support only B3/S23. But if the multistate emulation trick isn't used, that still makes things painful, as you say -- and if it is used, then there's still a fair amount of circuitry needed, and hard-wiring all the transitions to produce B3/S23 isn't necessarily any smaller than working with a lookup table like the one in the current 0E0P.

The isotropic lookup table is not a huge percentage of the 0E0P's data, but it's not insignificant either; it's big enough to be "visible from space", so to speak.

In the process of writing up the final chapter for the Life textbook, I watched the 0E0P do a lot of its self-constructing. There was one situation where it looked to me like the 0E0P could be made quite a bit more efficient, though maybe it would only add up to a single factor-of-two reduction in the total size. As it's chopping up a big pattern that it's building into clusters, slsparse very often sends Corderships all the way across the diameter of the 0E0P, to areas that already had existing constructions nearby.

If it's possible to get slsparse to support the idea of "optional targets" -- leftover blocks that are not cleaned up until the last possible minute, that can then be used as convenient starting points for new construction -- then a surprising number of Cordership launches could be avoided, along with the long gaps in the recipe that follow each launch.

Is it cost-effective to use the larger crabstretcher seeds at the scale of construction of the current 0E0P, by the way? Or are Cordership seeds cheap enough that they're still competitive for let's say a push to the midpoint of an edge in the current 0E0P? Crabpush technology is obviously the way to go for a Pavgran-style big diamond 0E0P, but I don't remember how the cost would work out for a hypothetical 0E0P that's half the diameter of the current one.

[qqd]

Is there any replacement for the boat-with-tail-plus-carrier catalyst in the following pattern?

Code: Select all

x = 15, y = 29, rule = B3/S23
13b2o$13b2o5$2b2o2$o2bo$4bo$o3bo$b4o13$5bo4b2o$4bobobo2bo$3bob2ob2o$3b
o$2b2o!

Also is there any way of doing inverse-octohash (that is rotate and/or filp the pattern by giving its RLE into a script or something?)

I found the answer for my first question:

Code: Select all

x = 20, y = 36, rule = B3/S23
18b2o$18b2o5$7b2o2$5bo2bo$9bo$5bo3bo$6b4o11$15bo$14bobo$10bo4bo$9bobo$
8bo2bo$9b2o2$3bob2o$b3ob2o3b2o$o9b2o$b3ob2o$3bobo$3bobo$4bo!

[dvgrn]

Also is there any way of doing inverse-octohash (that is rotate and/or [flip] the pattern by giving its RLE into a script or something?)

Sure. It depends on exactly what you want to do, but for example if you add these lines to find-by-octohash-Python3.py before line 107 --

Code: Select all

  g.note(minstr)
  g.exit()

-- you'll see that the getoctohash() function is basically finding the "lexicographically least" version of the input cell list out of the eight possible orientations.

So if you want to display the octohash-canonical orientation of whatever pattern is passed in, adjust that script to return the cell list instead of the string version of it, and display it (removing the rest of the script that searches through a lot of fingerprint files to find where the pattern's fingerprint matches).

[Wyirm]

Is this R to Pi an elementary conduit? There are multiple intervening active regions, but the conduit's output depends on part of the initial r's debris and the r generated by the B.

Code: Select all

x = 23, y = 18, rule = LifeSuper
18.A$17.A.A$17.A.A$.2A7.2A4.2A.3A$B2AB5.B2AB4.B4.A$.4B.B2.B.2B3.2AB3A
$2.10B4.2A.A$.12B.4B$13B3D$B2C11BHDB$2B2C9BH2DB$2BC11B2HB$17B$10BDBD
2B$.9BDBD$3.5B2.3D$2.B2A2B$3.2A!

Edit*
Just to be clear, an elementary r to pi conduit is contained within the conduit (and an r conduit), but the final conduit is dependent on both conduits.

[AlbertArmStain]

Does anyone know of an octohash for this octohash fingerprint?

Code: Select all

x = 4, y = 5, rule = B3/S23
o2$ob2o$o2bo$3o!

[dvgrn]

Does anyone know of an octohash for this octohash fingerprint?

Code: Select all

x = 4, y = 5, rule = B3/S23
o2$ob2o$o2bo$3o!

Technically the answer to this question is

.@y:<QltB
but maybe you're asking if there's any known 3-glider collision or known constellation-plus-one-glider collision that produces that pattern.

I checked original octohash, octo3g, and octo3obj -- no results. There are two results in octo3obj for the 1-tick descendant of the pattern:

Code: Select all

x = 86, y = 17, rule = LifeHistory
78.C2B$77.BCBCB$75.3B2C4B$42.3B30.8BCB$41.5B29.2BC5BCB$40.6B28.2BCBC
4BC2B$2.C35.2CB2C4B27.2BC.C3BD3B$2.3C32.B2CB2C2D3B28.BC4B3D$2C2.C31.
4B2D2BD3B28.2B.BCD2BD$.3C33.4B3D5B28.2BCBC2D$2.C35.C3BD7B27.2BCBCD$
37.CBC2B2CB2C3B30.CB$37.CBC2B2CB2C2B2C$38.C9B2CB$40.10BC$41.9B$45.B!

[dvgrn]

Is this R to Pi an elementary conduit?

I'd call that elementary, yes.

I wouldn't necessarily call it a useful elementary conduit, though -- there are less than ten ticks available for some hypothetical next conduit to grab hold of that pi and keep it from destroying the block. Are any known pi-to-X conduits useful here?

[qqd]

Is there any conduit with a very accessible domino spark?

[Wyirm]

Is there any conduit with a very accessible domino spark?

Depends on what you're searching for, do you want an output from the conduit? A specific input?
Here's one that utilizes a glider stopping reaction:

Code: Select all

x = 46, y = 55, rule = LifeHistory
15.4D4.D3.3D3.3D$15.D3.D2.2D2.D3.D.D3.D$15.D3.D3.D2.D3.D.D2.2D2.4D$
15.4D4.D3.4D.D.D.D.D3.D$15.D2.D4.D6.D.2D2.D.D3.D$15.D3.D3.D6.D.D3.D.D
3.D$15.D3.D2.3D2.3D3.3D3.4D10$19.2A$16.2A2.A$14.3A.2A8.2B$13.A4.B8.3B
$10.A2.4AB2AB5.5B$10.3A3.A.2AB.2B.6B$13.A4.14B$12.2AB4.14B7.2A$12.5B.
15B7.A$14.22B.BA.A$12.24B.B2A$12.26B$11.27B$11.27B$12.20BD2B2D2B$11.
20B.B3D4B2.2A$9.20B.4BD7BA.A$7.19B4.11B3.A$7.2BC16B4.5B2A4B3.2A$6.3BC
.C4B.9B4.5B2A3B$7.2B3C4B2.7B5.10B$6.5BC4B3.5B6.9B$5.10B5.3B7.9B$4.4B
10.7B6.8B$4.3B11.2A.B.2A5.8B$2.4B13.A3.A7.6B$2.2A12.3A5.3A4.6B$3.A12.
A9.A4.6B$3A23.A.AB.7B$A26.2AB2.6B$29.8B$29.8B$30.8B$31.7B$32.5B$32.2B
3D$33.BDB$33.3D$34.B!
#C [[ STOP 130 ]]

EDIT by dvgrn: Modified the above pattern to identify it as R190a from Golly's Signal-Circuitry h-to-h-collection-26Aug2017.zip. Very strangely, R190b is correct in that file, but R190a has the rightmost eater shifted downward by one cell. I've corrected that in the above, and also put in a STOP command at T=130, showing the tick before the "domino spark" tick -- the domino cells are already on in that generation, so this particular conduit won't work if the domino has to go from OFF to ON all in one tick.

[qqd]

Is there any conduit with a very accessible domino spark?

Depends on what you're searching for, do you want an output from the conduit? A specific input?
Here's one that utilizes a glider stopping reaction:

Code: Select all

x = 46, y = 55, rule = LifeHistory
15.4D4.D3.3D3.3D$15.D3.D2.2D2.D3.D.D3.D$15.D3.D3.D2.D3.D.D2.2D2.4D$
15.4D4.D3.4D.D.D.D.D3.D$15.D2.D4.D6.D.2D2.D.D3.D$15.D3.D3.D6.D.D3.D.D
3.D$15.D3.D2.3D2.3D3.3D3.4D10$19.2A$16.2A2.A$14.3A.2A8.2B$13.A4.B8.3B
$10.A2.4AB2AB5.5B$10.3A3.A.2AB.2B.6B$13.A4.14B$12.2AB4.14B7.2A$12.5B.
15B7.A$14.22B.BA.A$12.24B.B2A$12.26B$11.27B$11.27B$12.20BD2B2D2B$11.
20B.B3D4B2.2A$9.20B.4BD7BA.A$7.19B4.11B3.A$7.2BC16B4.5B2A4B3.2A$6.3BC
.C4B.9B4.5B2A3B$7.2B3C4B2.7B5.10B$6.5BC4B3.5B6.9B$5.10B5.3B7.9B$4.4B
10.7B6.8B$4.3B11.2A.B.2A5.8B$2.4B13.A3.A7.6B$2.2A12.3A5.3A4.6B$3.A12.
A9.A4.6B$3A23.A.AB.7B$A26.2AB2.6B$29.8B$29.8B$30.8B$31.7B$32.5B$32.2B
3D$33.BDB$33.3D$34.B!
#C [[ STOP 130 ]]

EDIT by dvgrn: Modified the above pattern to identify it as R190a from Golly's Signal-Circuitry h-to-h-collection-26Aug2017.zip. Very strangely, R190b is correct in that file, but R190a has the rightmost eater shifted downward by one cell. I've corrected that in the above, and also put in a STOP command at T=130, showing the tick before the "domino spark" tick -- the domino cells are already on in that generation, so this particular conduit won't work if the domino has to go from OFF to ON all in one tick.

Any conduit is allowed, but it has to be high clearance (The row with the domino spark should be free of any cells except perhaps other sparks) and at least both cells shouldn't be on in the previous generation. Also not something like these:

Code: Select all

x = 25, y = 3, rule = B3/S23
2o8b2o9b2o2$2bo8bo8bo2bo!

These are accepted:

Code: Select all

x = 36, y = 3, rule = B3/S23
2o10b2o8b2o10b2o$10bo9bo4bo$2o!

If anything else, the spark has to fall back at least 2 cells.

[pipsqueek]

why is Sir Robin considered unsynthesizable? sure it might be made of tons of space dust and other junk which isn't periodic, but has an attempt even been made? I'm sure it's possible. its not a garden of eden (we would probably know if it was) so we could search for some of its predecessors and try to synthesize one of them. but why hasn't anyone even attempted it?

[mniemiec]

why is Sir Robin considered unsynthesizable? sure it might be made of tons of space dust and other junk which isn't periodic, but has an attempt even been made? I'm sure it's possible. its not a garden of eden (we would probably know if it was) so we could search for some of its predecessors and try to synthesize one of them. but why hasn't anyone even attempted it?

Synthesizing space dust usually requires creation of a complex stable pattern (which is usually comparatively easy, because it can be done incrementally, taking as much time and gliders as necessary). This pattern is then bombarded in such a way that most of it just happens to decay into the interior space dust, while additional gliders approach from the outside to carefully supply additional dust on the surface.

The larger this gets, the harder it is to find a way to make it work. In real life, changing the size of creatures runs into the square/cube law (e.g. skin surface (including heat dissipation area), cross-sectional area of legs (for weight support), and wing surface (for lift) increase with the square of the size increase, while volume, mass, and metabolic heat generation increase with the cube of the increase. In the same way, increasing the size of space dust runs into a similar problem; the complexity increases quadratically, while at the same time, the amount of surface space on the outside available to influence the interior increases only linearly.

A point comes where you just can't get gliders into the active area fast enough to do what is necessary. This is already a problem for many attempted syntheses of even small oscillators and spaceships, which require convoluted Rube-Goldberg still-lifes to be used as a starting point.

One common trick for getting a spark into a tight space is to build an extension that is a ludicrously large snake; as activation gliders arrive to do everything else, a single glider hits the end of the snake, creating a fuse that burns the snake until it finally collapses into the needed spark. This allows injection of a signal at speed c using a very narrow lane, which is efficient in terms of time and space in the final construction step, but which is expensive in terms of synthesizing the original core still-life.

Consider this analogy: much glider synthesis technology is similar to throwing grenades into a china shop, hoping that by precisely aiming and timing the grenades, the resulting shrapnel will form exactly what you want. It's fairly easy to throw a grenade to get one piece of shrapnel that's round - but throwing 5 grenades to get five round pieces of shrapnel to interlock like the Olympic rings would be virtually impossible.

[confocaloid]

Did anyone enumerate all distinct patterns with a given MCPS for smaller values? I just tried to enumerate patterns up to MCPS=4 manually and got 1, 2, 8, 38 respectively, but I might have missed/double-counted some patterns.

Code: Select all

x = 79, y = 39, rule = LifeHistory
A3$A3.A$A2.A3$A2.A3.A3.A3.A4.A4.A$A2.B2.A3.B3.A4.A4.B3.2A$A2.A2.A3.A
4.A2.A4.A4.A3$A2.A2.A3.A3.A3.A3.A$A2.B2.B2.A3.B3.A3.B3.2A2.2A2.A$A2.A
2.B2.A3.A3.B3.B3.A3.B3.2A$A2.A2.A2.A3.A3.A3.A3.A3.A3.A3$A3.A4.A4.A3.A
3.A3.A$.A3.A3.A3.A3.B3.A3.B4.2A3.BA3.A4.A3.A3.A4.A4.A4.A4.A2.A.A$A3.B
3.A3.A3.A3.B3.B4.A4.A4.A.A2.2A2.A3.A4.A4.A3.2A3.AB4.B$A3.A3.A3.A3.A3.
A3.A4.A4.A4.A4.A3.2A2.A4.A3.2A4.A4.A4.A$53.A2.A3$2A$2A3$7.A2.A17.A$A.
A3.A4.A4.A5.A.A4.B$.A5.A4.A2.A.A5.B6.A$A5.A4.A4.A5.A6.A3$3.A5.A5.A$2.
A5.B5.B$.A5.A5.B$A5.A5.A!

[Macbi]

Did anyone enumerate all distinct patterns with a given MCPS for smaller values? I just tried to enumerate patterns up to MCPS=4 manually and got 1, 2, 8, 38 respectively, but I might have missed/double-counted some patterns.

Code: Select all

x = 79, y = 39, rule = LifeHistory
A3$A3.A$A2.A3$A2.A3.A3.A3.A4.A4.A$A2.B2.A3.B3.A4.A4.B3.2A$A2.A2.A3.A
4.A2.A4.A4.A3$A2.A2.A3.A3.A3.A3.A$A2.B2.B2.A3.B3.A3.B3.2A2.2A2.A$A2.A
2.B2.A3.A3.B3.B3.A3.B3.2A$A2.A2.A2.A3.A3.A3.A3.A3.A3.A3$A3.A4.A4.A3.A
3.A3.A$.A3.A3.A3.A3.B3.A3.B4.2A3.BA3.A4.A3.A3.A4.A4.A4.A4.A2.A.A$A3.B
3.A3.A3.A3.B3.B4.A4.A4.A.A2.2A2.A3.A4.A4.A3.2A3.AB4.B$A3.A3.A3.A3.A3.
A3.A4.A4.A4.A4.A3.2A2.A4.A3.2A4.A4.A4.A$53.A2.A3$2A$2A3$7.A2.A17.A$A.
A3.A4.A4.A5.A.A4.B$.A5.A4.A2.A.A5.B6.A$A5.A4.A4.A5.A6.A3$3.A5.A5.A$2.
A5.B5.B$.A5.A5.B$A5.A5.A!

I think it's 39. You're missing this one.

Code: Select all

x = 3, y = 3, rule = B3/S23
obo$bo$bo!