Dannyu NDos wrote:Wait, what is the "52P84" listed on Wiki?
I don't seem to have a reference for that one. Will try hunting through jslife collections more later. There's a population-201 p84 in Sokwe's
jslife-osc-supplement.zip, though:
Code: Select all
x = 27, y = 37, rule = B3/S23
9b2o$9bo$2o4b2obo$o2b2o3bo$b2o2$b2o$obobo3b2o$o3b2obo2bo$b4o10b2o$10bo
4bo$3b2o3bo3bo3b3o$3bo5bob5o2bo$5bo10bo$4b2o3b5o2b2o$8bo5bobo2bo$4b2o
3b2o2b2o3b2o$4bo2bobo5bo$6b2o2b5o3b2o$b2o4bo11bo2b2o$bobobo2b4ob2o4bob
obo$3bob2obo2bob2o3b2obo$2b2o2bo12bobo$4bobo8bobo3bobob2o$2b2o2b2o6bo
4bobob2obo$3bobo2bob2o2bo3bo3bo$3bob2obob2o3bo8b2o$4bo3bo16bo$5b2obob
2o4bobo2bo2bo$6bobo2bo3bob5o2b2o$6bo2bo$7b2o5bob4o$14bo5bo$15b2o2b2o$
10b2obobo$10bob2o2bo$15b2o!
EDIT: Turns out that "52p84" was a
correction that Sokwe made to the oscillators table, just a couple of years ago -- from a rumored "114P84" (which also doesn't ever seem to have had a pattern page).
-- Aha! 52p84 is in a stamp collection Sokwe posted on the Discussion page of the oscillator table:
Code: Select all
x = 27, y = 27, rule = B3/S23
21b2o$21b2o2b2o$19b2obo2b2o$19b3o3$12b2o6b2o$12bo7b2o$11b2o2$10b2o$10b
o$9bo5bo$14bo$13b2o2$12b2o$12bo$11b2o$2b2o$2b2o2b2o$2obo2b2o$3o3$b2o$b
2o!
where the note implies that some others of this stamp collection should really have pattern pages, too:
Code: Select all
x = 285, y = 230, rule = B3/S23
49bo$49bo109b2o$48bobo110bo$49bo108bo97b2o3b3o3b2o$49bo108bo3bo92bobo
9bobo$49bo93b2o3b2o8bo3b4o89bo13bo$49bo88bo2bo3bobo3bo2bo5bo91b2ob2o2b
2o3b2o2b2ob2o$48bobo47b2obo6b2obo25bob2o4bobo4b2obo96b2obo13bob2o$2bob
2o6bob2o33bo48bob2o6bob2o25bobob2obo3bob2obobo99bob4o3b4obo$2b2obo6b2o
bo33bo46b2o4b2o2b2o30b2o3bo5bo3b2o100bobo3b3o3bobo$6b2o2b2o84bo5bo3bo
149bo11bo$7bo3bo85bo5bo3bo88b2o5b2obo4b2o3b2o56bo$6bo3bo85b2o4b2o2b2o
89bo5bob2o4b2o3b2o56bobo$6b2o2b2o86b2obo6b2obo84bo10b2o64bobo$4b2o6bob
2o14bo2bo4bo2bo56bob2o6bob2o84b2o9bo3b2o3b2o57bo$5bo6b2obo12b3o2b6o2b
3o58b2o2b2o4b2o94bo2bobobobo27bo$4bo11b2o12bo2bo4bo2bo60bo3bo5bo83b2o
9b2o4bobo29b3o$4b2o11bo32b2o51bo3bo5bo83bo5b2obo5b2obo32bo30b2o$2b2o
12bo32b2o51b2o2b2o4b2o82bo6bob2o9b2o29b2o30b2o$3bo12b2o33bo46b2obo6b2o
bo26b2o3bo5bo3b2o41b2o3b2o14bo$2bo9bob2o44bo4bo32bob2o6bob2o25bobob2ob
o3bob2obobo45bo14bo$2b2o8b2obo42b2ob4ob2o69bob2o4bobo4b2obo40b2o4bo13b
2o39bo2bo$60bo4bo72bo2bo3bobo3bo2bo42bo3b2o14bo42bo$143b2o3b2o46bo6b2o
bo9bo25b2o11bo4bo13b2o$196b2o5bob2o9b2o24b2o11bo3b2o13bo$256bo18b3o$
257bo19bo$247bo10b3o$247bobo$246bobo$248bo$254bo3bobobo3bo$253bobo9bob
o$253bobo9bobo$250b2obobob7obobob2o$250b2obo13bob2o$253bo13bo$145b2o
106bobo9bobo$145b2o107b2o3b3o3b2o$47b3o90bo10bo$139bobo8bobo$47bo90bob
o3bo2bo3bobo$46b2o89bobo4bo2bo4bobo$48bo49b2obo6b2obo26bo5bo2bo5bo$2bo
b2o6b2obo29bo52bob2o6bob2o$2b2obo6bob2o29bo3bo46b2o4b2o2b2o4b2o$6b2o2b
2o4b2o25b2o51bo5bo3bo5bo26b3o8b3o$7bo2bo5bo24bo5b3o2b2o43bo5bo3bo5bo
21b2o18b2o$6bo4bo5bo20bob2o4bo5b2o42b2o4b2o2b2o4b2o21b2o18b2o$6b2o2b2o
4b2o20bo3bo3bo51b2obo6b2obo27b3o8b3o$4b2o6b2obo22bo5bobo51bob2o6bob2o$
5bo6bob2o86b2o8b2o$4bo5b2o4b2o84bo9bo25bo5bo2bo5bo104bo$4b2o4bo5bo29b
2o55bo9bo23bobo4bo2bo4bobo102bobo$2b2o7bo5bo24bo3b2o54b2o8b2o24bobo3bo
2bo3bobo98bo4bobo$3bo6b2o4b2o23bobo54b2obo6b2obo27bobo8bobo98bobo2b2ob
2o2b2o$2bo9b2obo21bo2b2obo54bob2o6bob2o28bo10bo100bo3bo5bo2bo$2b2o8bob
2o21b2o2bo2b2o99b2o110b3o4bo2bo$42bobo85b2o13b2o103b5o4bo2bobob2o$37b
6obo86bo27b2o88bo4bo5b2o2bo$37bo5bo87bobo25bo88bo2bo11b2o$40b3o89b2o
23bobo85bo2bob2o$40bo96bo4bo14b2o37b2o3b2obo6b2obo29bobobo5bo$135b2ob
4ob2o3bo4bo43bo3bob2o6bob2o30bo2bo4bobo$137bo4bo3b2ob4ob2o40bo8b2o2b2o
4b2o31b2o2bo2bo$132b2o14bo4bo42b2o7bo3bo5bo37b2o$131bobo23b2o47bo3bo5b
o28b2o$131bo25bobo36b2o7b2o2b2o4b2o26b3obo$130b2o27bo37bo3b2obo4bo5bo
26bo4bo$159b2o35bo4bob2o5bo5bo26b3ob2o29b2o$196b2o7b2o2b2o4b2o28bo3bo
28bo$205bo3bo5bo33bo30bo$196b2o8bo3bo5bo29bobo27b4obo$197bo7b2o2b2o4b
2o28bo4bo25bo4bo$196bo4b2obo6b2obo30bob4o27bobo$196b2o3bob2o6bob2o31bo
25bo4bo$248bo24bo3bo3bo$247b2o22b3o4b2ob3o$2b2obo6b2obo263bo4bo$2bob2o
6bob2o23b2o2bo235bob3o$2o4b2o2b2o4b2o17b2o2b2o3bo235b2o$o5bo3bo5bo18b
2o7bo222bo4b2o$bo5bo3bo5bo22b4o5b2o214bobo3bo2bo2b2o$2o4b2o2b2o4b2o31b
3o214b2o3bobo4bo2bo$2b2obo4bo5bo32b2obo219bo5bobobo$2bob2o5bo5bo16b2o
9bo5bobo221b2obo2bo$2o4b2o2b2o4b2o16bo2b3o4b2o4bo2bo208b2o11bo2bo$o5bo
3bo5bo18b2o14b2o209bo2b2o5bo4bo$bo5bo3bo5bo22bo3b2o50b2o5b2obo4b2o3b2o
141b2obobo2bo4b5o$2o4b2o2b2o4b2o22bo4bo51bo5bob2o4b2o3b2o141bo2bo4b3o$
2b2obo6b2obo19b2o59bo4b2o4b2o43b3o106bo2bo5bo3bo$2bob2o6bob2o18bo2b3o
56b2o3bo5bo3b2o3b2o28b2o114b2o2b2ob2o2bobo$34b2o66bo5bo2bobobobo26bob
2o6bo112bobo4bo$96b2o3b2o4b2o4bobo27bo10b2o111bobo$97bo3bo5bo4b2obo30b
o6bo114bo$96bo5bo5bo7b2o24b2obo10bo$96b2o3b2o4b2o8bo24b2o8bo3bo$101bo
5bo8bo40b2o$96b2o4bo5bo7b2o30b2o2b3o5bo$97bo3b2o4b2o8bo30b2o5bo4b2obo$
96bo6b2obo9bo38bo3bo3bo$96b2o5bob2o9b2o37bobo5bo$53bo2bo$53bo$52bo4bo
96b2o$51bobo2b2o96b2o$49b2obo2$44bo212b2o6b2o$44bo4bo2bo204b2o6b2o$2b
2obo4b2o3b2o26bo7b2o220bo$2bob2o4b2o3b2o25bo228bo3b4o$2o4b2o34bo4bo
223bo3bo$o5bo3b2o3b2o254bo$bo5bo2bobobobo24b2o3bo227bo$2o4b2o4bobo25bo
5bo194b2o29b2o7b2o$2b2obo5b2obo25bo3b2o194bobo38bobo$2bob2o9b2o223bobo
b2o32b2obobo$2o4b2o8bo22bo4bo105b2o44b2o3b2obo6b2obo26bobobo32bobobo$o
5bo8bo28bo105b2o45bo3bob2o6bob2o28bo36bo$bo5bo7b2o26bo152bo8b2o8b2o24b
o2bo34bo2bo$2o4b2o8bo17bo2bo4bo153b2o7bo9bo28bo13b2o4b2o13bo$2b2obo9bo
18bo7bo163bo9bo23bo3bo12bobo4bobo12bo3bo$2bob2o9b2o16bo4bo157b2o7b2o8b
2o23bo3bo12bo8bo12bo3bo$32bobo2b2o109b2o47bo3b2obo6b2obo29bo12bobo4bob
o12bo$30b2obo115b2o45bo4bob2o6bob2o26bo2bo13b2o4b2o13bo2bo$145bo4bo45b
2o7b2o2b2o32bo36bo$145bo3bo55bo3bo31bobobo32bobobo$30bo2bo62b2o5b2obo
6b2obo28b2o7b3o39b2o8bo3bo29bobob2o32b2obobo$32b2o63bo5bob2o6bob2o37bo
42bo7b2o2b2o29bobo38bobo$96bo4b2o4b2o2b2o4b2o77bo4b2obo6b2obo26b2o38b
2o$96b2o3bo5bo3bo5bo17b2o21bo37b2o3bob2o6bob2o$102bo5bo3bo5bo16b2o5b2o
11bob2o$96b2o3b2o4b2o2b2o4b2o22b2obo11b2o5b2o$97bo3bo5bo5b2obo24bo21b
2o$96bo5bo5bo4bob2o$96b2o3b2o4b2o2b2o4b2o26bo$101bo5bo3bo5bo25b3o7b2o
102b2o6b2o$96b2o4bo5bo3bo5bo31bo3bo102b2o6b2o$97bo3b2o4b2o2b2o4b2o30bo
4bo$96bo6b2obo6b2obo32b2o$96b2o5bob2o6bob2o16b2o15b2o$133bobo$135b3o$
134bo3bo$38b2o94b3o2bo2bo$2b2obo6b2obo22b2o99bob2o5b2o$2bob2o6bob2o22b
2o94b3o2bo2bo5b2o$2o4b2o2b2o4b2o20bo13bo2bo78bo3bo$o5bo3bo5bo20bobo12b
o82b3o123b2o$bo5bo3bo5bo20bobob3o6bo4bo76bobo125b2o$2o4b2o2b2o4b2o21bo
b4o5bobo2b2o76b2o$2b2obo4bo5bo23bo7b2obo$2bob2o5bo5bo$6b2o2b2o4b2o26bo
$6bo3bo5bo17b2o7bo4bo2bo144b2o3b2obo6bob2o44b3o$7bo3bo5bo16bo2b3o4bo5b
2o145bo3bob2o6b2obo44bobo$6b2o2b2o4b2o17b2o159bo8b2o2b2o50bo$2b2obo6b
2obo24bo3b2o150b2o7bo4bo44b2o9bo$2bob2o6bob2o24bo3b2o160bo2bo46b2o7b2o
$35b2o159b2o7b2o2b2o54bo$34bo2b3o157bo3b2obo6bob2o$34b2o115b2o43bo4bob
2o6b2obo31b2o20b2o$151b2o43b2o7b2o8b2o29b2o4b3o14bo$139bo65bo10bo35bo
14b3o4b2o$138bobo55b2o8bo8bo36b2o20b2o$139bo11b3o43bo7b2o8b2o$146b2o2b
ob2o42bo4b2obo6bob2o41bo$137b5o4b2o2b2o44b2o3bob2o6b2obo40b2o7b2o$136b
o4bo8b2o103bo9b2o$135bo2bo121bo$132bo2bob2o121bobo$96b2o4b2o3b2o3b2o
17bobobo5bo118b3o$97bo5bo3b2o3b2o18bo2bo4bobo$96bo5bo32b2o2bo2bo$96b2o
4b2o3b2o3b2o26b2o$46b2o59bobobobo131bo4bo$36b2o7bobo15b2o31b2o4b2o5bob
o131b2ob4ob2o6b2o$36b2o7bo17b2o32bo5bo4b2obo53b4o76bo4bo8b2o$45b3o48bo
5bo9b2o20b2o28bo4bo$2b2obo6b2obo80b2o4b2o9bo20b2o27bobo3bo$2bob2o6bob
2o96bo49bobo3bo$2o4b2o8b2o78b2o4b2o8b2o42bo5bo$o5bo9bo28b3o49bo5bo9bo
20b3o17bobo5bo$bo5bo9bo27bo17b2o31bo5bo9bo16b2o2bob2o18b2o5bo2bo$2o4b
2o8b2o27bobo15b2o31b2o4b2o8b2o15b2o2b2o28b2o$2b2obo6b2obo30b2o85b2o$2b
ob2o6bob2o134bo$6b2o2b2o139bo$6bo3bo138b3o5b2o99bo7bo$7bo3bo39bobo2bob
3o95bo2bo2b2o93bobo5bobo$6b2o2b2o38bo2bobobobo96bobo4bo2bo91bo7bo$2b2o
bo6b2obo34bo106bo5bobobo$2bob2o6bob2o41bo102b2obo2bo$48bobobobo2bo102b
o2bo$47b3obo2bobo91b4o5bo4bo33b2o3b2o3b2o3b2o40bo17bo$147bo4bo4b5o35bo
3b2o3b2o4bo40bo17bo$146bobo3bo43bo14bo41bo17bo$145bobo3bo7bo36b2o3b2o
3b2o3b2o36b2o23b2o$145bo12bobo40bobobobo40bobo7b3o3b3o7bobo$145bo13bo
36b2o5bobo5b2o35bo8bo3bobo3bo8bo$145bo2bo48bo4b2obo6bo34b2o27b2o$146b
2o48bo9b2o3bo$196b2o9bo3b2o41b2o13b2o$206bo47b2o13b2o$196b2o8b2o3b2o$
197bo9bo4bo34b2o27b2o$196bo9bo4bo36bo8bo3bobo3bo8bo$196b2o8b2o3b2o35bo
bo7b3o3b3o7bobo$249b2o23b2o$253bo17bo$244b2o7bo17bo$244b2o7bo17bo$246b
obo$96b2o5b2obo6b2obo125b5obo$97bo5bob2o6bob2o125bo5bo$96bo10b2o2b2o4b
2o36b2o86b2ob2o3b2o5bo7bo$96b2o9bo3bo5bo37b2obo85bobo4bobo3bobo5bobo$
108bo3bo5bo40bo84bobo6bo4bo7bo$96b2o9b2o2b2o4b2o37bo88bo7b2o$97bo5b2ob
o4bo5bo39bob2o$96bo6bob2o5bo5bo40b2o$96b2o3b2o8b2o4b2o$101bo9bo5bo$96b
2o4bo9bo5bo$97bo3b2o8b2o4b2o$96bo6b2obo6b2obo$96b2o5bob2o6bob2o36bo4bo
$151b2ob4ob2o$153bo4bo!
That p84 has apparently been hiding there since 2010.
On the Discussion page there was also a suggestion some time ago to make just one combined page for glider-loop oscillators, and presumably link any table entries to that one page:
codeholic wrote:I think it makes sense to make one page for snark-assisted glider loops instead of multiple pages, that would be essentially the same.
Dannyu NDos wrote:By the glider loops, the upper bound of population of period (4n+2) oscillators is 208, and that of other periods is 228.
Oddly enough, there's an occasional Herschel-based loop that can improve slightly on that last upper bound. Here's a period-111 oscillator adapted from the gun collection, with population 210 instead of 228:
Code: Select all
x = 66, y = 55, rule = B3/S23
41bo11b2o$40bobo10b2o$32bo3b2o2bobo$31bobo2bo2b2ob2o$17b2o12bobo3bobo$
18bo13bob4o2bob2o$18bobo13bo3bobob2o$19b2o12bo3bobo$32bo3bobo$32b2o3bo
10bo$5b2o42bo$5b2o37bobob2o$45bo$45bo2$60b2o$59bo2bo$2o58b2obo$2o61bo$
63b2o$11bobo34b2o$9bobobo35bo$7b2o11b2o24b3o$9bo10b2o11b2o11bo$33bo$
34b3o$36bo2$41b2o$42bo$42bobo$32bo10b2o$30b3o$29bo$29b2o19b2o3b2o$14b
2o34bobo2bobo6b2o$15bo36bo4bo6b2o$15bob2o32bo2bo2bo$16bo2bo34b3o$17b2o
8b2o$26bobo$25b2o13bo$26bobo10bo$27b2o$42bo$42bo2b2o$40bobo3bo$39bobo
3bo$35b2obobo3bo$35b2obo2b4obo$39bobo3bobo6b2o$35b2ob2o2bo2bobo6b2o$
36bobo2b2o3bo$24b2o10bobo$24b2o11bo!
I'm not sure that that's the minimum-population version of the syringe catalyst, though. That question doesn't come up as much in gun pattern optimizations, where the bounding box is the main thing that matters.