High period oscillators with smallest population

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Dannyu NDos
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Joined: January 6th, 2019, 3:27 am

High period oscillators with smallest population

Post by Dannyu NDos » September 13th, 2019, 9:35 pm

On the wiki page of oscillators, the "smallest known" column has many question marks on high period oscillators. I'd like to fill them.

By the glider loops, the upper bound of population of period (4n+2) oscillators is 208, and that of other periods is 228. P67 and P74 glider loops are shown as examples:

Code: Select all

x = 89, y = 89, rule = B3/S23
39b2o$39bobo$41bo4b2o$37b4ob2o2bo2bo$37bo2bobobobob2o$40bobobobo$41b2o
bobo$45bo2$31b2o$32bo$32bobo$33b2o$40b3o2$40bo2bo$41b2o3$43b2o$43bo$
44b3o$46bo3$59bo$57bobo$58b2o2$25b3o$27bo$26bo52bo$77b3o$76bo$76b2o3$
84b2o$85bo$3b2o80bob2o$4bo68bobo7b3o2bo$2bo69bo2bo6bo3b2o$2b5o14b2o49b
o2bo6b4o$7bo13bo46b2o3bo11bo$4b3o12bobo45bobo12b3o$3bo11bo3b2o46bo13bo
$3b4o6bo2bo49b2o14b5o$b2o3bo6bo2bo69bo$o2b3o7bobo68bo$2obo80b2o$3bo$3b
2o3$11b2o$12bo$9b3o$9bo52bo$61bo$61b3o2$29b2o$29bobo$29bo3$42bo$42b3o$
45bo$44b2o3$46b2o$45bo2bo2$46b3o$54b2o$54bobo$56bo$56b2o2$43bo$42bobob
2o$42bobobobo$39b2obobobobo2bo$39bo2bo2b2ob4o$41b2o4bo$47bobo$48b2o!

Code: Select all

x = 59, y = 59, rule = B3/S23
24b2o$24bobo$26bo4b2o$22b4ob2o2bo2bo$22bo2bobobobob2o$25bobobobo$26b2o
bobo$30bo2$16b2o$17bo$17bobo$18b2o$25b3o2$25bo2bo$26b2o21bo$47b3o$46bo
$28b2o16b2o$28bo$29b3o$31bo22b2o$55bo$3b2o50bob2o$4bo38bobo7b3o2bo$2bo
39bo2bo6bo3b2o$2b5o14b2o19bo2bo6b4o$7bo13bo16b2o3bo11bo$4b3o12bobo15bo
bo12b3o$3bo11bo3b2o16bo13bo$3b4o6bo2bo19b2o14b5o$b2o3bo6bo2bo39bo$o2b
3o7bobo38bo$2obo50b2o$3bo$3b2o22bo$27b3o$30bo$11b2o16b2o$12bo$9b3o$9bo
21b2o$30bo2bo2$31b3o$39b2o$39bobo$41bo$41b2o2$28bo$27bobob2o$27bobobob
o$24b2obobobobo2bo$24bo2bo2b2ob4o$26b2o4bo$32bobo$33b2o!
The former account 'David' is lost and unused. My real name is "Park Shinhwan".

Dannyu NDos
Posts: 7
Joined: January 6th, 2019, 3:27 am

Re: High period oscillators with smallest population

Post by Dannyu NDos » September 14th, 2019, 1:51 am

A smaller P84 oscillator (pop. 218):

Code: Select all

x = 40, y = 38, rule = B3/S23
18bo$17b2o$16b2o$15bo$14bob4o$13bobo4bo$12b2obob2obo2b2o$11b2o2bob2obo
b2o$15bo4bobo$16b4obo$20bo$18b2o$17b2o$17bo3$6b2o24b2o$6bobo22bobo$8bo
22bo$3bo2bob2o20b2obo2bo$3b4o9bobo2bobo9b4o$7b2o2b2o2bo2bo2bo2bo2b2o2b
2o$3b4o9bobo2bobo9b4o$2bo3bob2o20b2obo3bo$bob2obobo22bobob2obo$bobo4bo
22bo4bobo$2obobobob2o18b2obobobob2o$o2bobobo2bo18bo2bobobo2bo$2bo5bo
22bo5bo$3b2obob2o20b2obob2o$4bobo26bobo$2bobobob2o20b2obobobo$bob4o2bo
20bo2b4obo$bo5bo24bo5bo$2b6obo20bob6o$4bo3bobo18bobo3bo$7bo2bo18bo2bo$
8b2o20b2o!
The former account 'David' is lost and unused. My real name is "Park Shinhwan".

Dannyu NDos
Posts: 7
Joined: January 6th, 2019, 3:27 am

Re: High period oscillators with smallest population

Post by Dannyu NDos » September 14th, 2019, 1:56 am

Wait, what is the "52P84" listed on Wiki?
The former account 'David' is lost and unused. My real name is "Park Shinhwan".

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dvgrn
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Re: High period oscillators with smallest population

Post by dvgrn » September 14th, 2019, 8:10 am

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.

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Re: High period oscillators with smallest population

Post by Entity Valkyrie 2 » September 21st, 2019, 10:50 pm

Dannyu NDos wrote:A smaller P84 oscillator (pop. 218):

Code: Select all

x = 40, y = 38, rule = B3/S23
18bo$17b2o$16b2o$15bo$14bob4o$13bobo4bo$12b2obob2obo2b2o$11b2o2bob2obo
b2o$15bo4bobo$16b4obo$20bo$18b2o$17b2o$17bo3$6b2o24b2o$6bobo22bobo$8bo
22bo$3bo2bob2o20b2obo2bo$3b4o9bobo2bobo9b4o$7b2o2b2o2bo2bo2bo2bo2b2o2b
2o$3b4o9bobo2bobo9b4o$2bo3bob2o20b2obo3bo$bob2obobo22bobob2obo$bobo4bo
22bo4bobo$2obobobob2o18b2obobobob2o$o2bobobo2bo18bo2bobobo2bo$2bo5bo
22bo5bo$3b2obob2o20b2obob2o$4bobo26bobo$2bobobob2o20b2obobobo$bob4o2bo
20bo2b4obo$bo5bo24bo5bo$2b6obo20bob6o$4bo3bobo18bobo3bo$7bo2bo18bo2bo$
8b2o20b2o!
Made even smaller by using 34P14 shuttle:

Code: Select all

x = 40, y = 32, rule = B3/S23
b2o5b2o20b2o5b2o$b2o5b2o20b2o5b2o4$4bobo26bobo2$b3o3b3o7b6o7b3o3b3o$o
9bo5bo6bo5bo9bo$3o5b3o4bo8bo4b3o5b3o$bo7bo6bo6bo6bo7bo$17b6o2$b2o5b2o
20b2o5b2o$b2o5b2o20b2o5b2o2$20bo$18bo$18bo4bo$17b2o5bo$17bo$17b4o$14b
3o4bo4bo$12b3obob2obo$16bob2obob3o$11bo4bo4b3o$17b4o$20bo$13bo5b2o$14b
o4bo$19bo$17bo!
Bx222 IS MY WORST ENEMY.

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Re: High period oscillators with smallest population

Post by Entity Valkyrie 2 » September 21st, 2019, 11:02 pm

dvgrn wrote: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.
206P111: (snake instead of eater 1 for syringe, use hive on top left corner)

Code: Select all

x = 68, y = 55, rule = B3/S23
43bo11b2o$42bobo10b2o$34bo3b2o2bobo$33bobo2bo2b2ob2o$19b2o12bobo3bobo$
20bo13bob4o2bob2o$20bobo13bo3bobob2o$21b2o12bo3bobo$34bo3bobo$34b2o3bo
10bo$51bo$46bobob2o$47bo$47bo2$62b2o$bo59bo2bo$obo59b2obo$obo62bo$bo
63b2o$13bobo$11bobobo35b2o$9b2o11b2o27bo$11bo10b2o11b2o15bo$35bo15b2o$
36b3o$38bo2$43b2o$44bo$30b2o12bobo$30bo14b2o$31bo$30b2o$52b2o3b2o$16b
2o34bobo2bobo6b2o$17bo36bo4bo6b2o$17bob2o32bo2bo2bo$18bo2bo34b3o$19b2o
8b2o$28bobo$27b2o13bo$28bobo10bo$29b2o$44bo$44bo2b2o$42bobo3bo$41bobo
3bo$37b2obobo3bo$37b2obo2b4obo$41bobo3bobo6b2o$37b2ob2o2bo2bobo6b2o$
38bobo2b2o3bo$26b2o10bobo$26b2o11bo!
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
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Re: High period oscillators with smallest population

Post by Moosey » September 22nd, 2019, 6:45 am

Sorry to go off on a tangent, but...
EV! Welcome back!
not active here but active on discord

loves estradiol valerate

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Re: High period oscillators with smallest population

Post by Entity Valkyrie 2 » September 22nd, 2019, 7:49 am

I've been going off GoL since the decline from LifeWiki. I'm back to try and see how much I have changed over the break.
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
StateInvestigator 3.0
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

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