Oscillator Discussion Thread

[WhiteHawk]

More completed partials. All are from hotdogPi's partial collection.
p48 bun hassler:

Code: Select all

Reduced

Code: Select all

x = 59, y = 47, rule = B3/S23
21bo10bo$20bobo2bo2bo2bobo$21b2o2b4o2b2o2$21b2ob2o2b2ob2o$12bo9bob2o2b
2obo$10b3o8bo2bob2obo2bo$9bo11bobo2b2o2bobo$10bo9b2obo6bob2o$3b4o4bo11b
ob4obo$9bobo8b2obo2b2o2bob2o$5b3ob2o10bobo6bobo$6b2o13bob2ob2ob2obo$22b
o3b2o3bo6bo7bo4bo4b2o$38b3o3b2o5bobobo2bo$6b3o32bo4b2o2bobo5bo$7bo32b
2o3bo6bo5bo$b2o4bo47b2obo$2bo23bo28b2o$2bobo20bo23bo$3b2o20b2o22bo$25b
obo23bo4b2o$14b4o8bo15b3o5bo5b2o$14bo2bo7b3o3b3o7bo2bo$b2o5bo5b3o15bo
8b4o$b2o4bo23bobo$9bo22b2o20b2o$9bo23bo20bobo$2b2o28bo23bo$ob2o47bo4b
2o$o5bo6bo3b2o32bo$o5bobo2b2o4bo32b3o$o2bobobo5b2o3b3o$b2o4bo4bo7bo6b
o3b2o3bo$26bob2ob2ob2obo13b2o$26bobo6bobo10b2ob3o$25b2obo2b2o2bob2o8b
obo$28bob4obo11bo4b4o$25b2obo6bob2o9bo$26bobo2b2o2bobo11bo$26bo2bob2o
bo2bo8b3o$27bob2o2b2obo9bo$26b2ob2o2b2ob2o2$26b2o2b4o2b2o$25bobo2bo2b
o2bobo$26bo10bo!

[rabbit]

p86 LOM hassler found by Period1GliderGun yesterday:

Code: Select all

x = 63, y = 97, rule = B3/S23
7b2o2b2o6b2o2b2o$7b2o14b2o$7b2o2bo8bo2b2o$10bo10bo$12bo6bo$13b2o2b2o2$
2o28b2o$bo28bo$bobo24bobo$2b2o24b2o$7b2o14b2o$7b2o14b2o$9b4o6b4o$7b2ob
3o6b3ob2o$7b2o14b2o7$7b2o14b2o$7b2ob3o6b3ob2o$9b4o6b4o$7b2o14b2o$7b2o
14b2o$2b2o24b2o$bobo24bobo$bo28bo$2o28b2o2$13b2o2b2o$12bo6bo21b2o$10bo
10bo19b2o$7b2o2bo8bo2b2o$7b2o14b2o$7b2o2b2o6b2o2b2o4$26b3o$18bo7bobo$
18b2o5bo2bo$18b2o5bobo$19bo5b3o6$35b3o5bo$35bobo5b2o$34bo2bo5b2o$34bob
o7bo$34b3o4$38b2o2b2o6b2o2b2o$38b2o14b2o$38b2o2bo8bo2b2o$20b2o19bo10bo
$20b2o21bo6bo$44b2o2b2o2$31b2o28b2o$32bo28bo$32bobo24bobo$33b2o24b2o$
38b2o14b2o$38b2o14b2o$40b4o6b4o$38b2ob3o6b3ob2o$38b2o14b2o7$38b2o14b2o
$38b2ob3o6b3ob2o$40b4o6b4o$38b2o14b2o$38b2o14b2o$33b2o24b2o$32bobo24bo
bo$32bo28bo$31b2o28b2o2$44b2o2b2o$43bo6bo$41bo10bo$38b2o2bo8bo2b2o$38b
2o14b2o$38b2o2b2o6b2o2b2o!

The latest post in Synthesising Oscillators produces this pattern.

[C_R_116]

p16 lom hassler:

Code: Select all

x = 43, y = 43, rule = B3/S23
33b2o$31bob2o$13b3o14bo$13b3o17bo$13b3o13b2obo$16b3o10b2o$9bo6b3o$8bob
o5b3o$2o7bo25bo$2obo30bobo$4bo7bo12b6o4bo$bo9bobo11b4o2bo$2bob2o4bo2bo
14b2o2bo$4b2o4bobo4b3o10b2o6b3o$10b3o4bo2b2o16b3o$10b2o5b2o2bo16b3o$
10b2o7b3o13b3o$10b2o15b3o5b3o$27bobo5b3o$26bo2bo$26bobo$14b3o9b3o$14bo
bo$13bo2bo$5b3o5bobo$5b3o5b3o15b2o$5b3o13b3o7b2o$2b3o16bo2b2o5b2o$2b3o
16b2o2bo4b3o$2b3o6b2o10b3o4bobo4b2o$10bo2b2o14bo2bo4b2obo$11bo2b4o11bo
bo9bo$7bo4b6o12bo7bo$6bobo30bob2o$7bo25bo7b2o$24b3o5bobo$24b3o6bo$12b
2o10b3o$10bob2o13b3o$9bo17b3o$12bo14b3o$8b2obo$8b2o!

[ElijahKen]

Is this p64 honey farm hassler known? Catagolue seems to have a page for it... but is that just auto generated?

Code: Select all

x = 59, y = 59, rule = B3/S23
25b2o5b2o$17b3o5bo7bo5b3o$16bo9b3ob3o9bo$16bo3bo7bobo7bo3bo$16bo2bobo
15bobo2bo$18bobo2bo11bo2bobo$19bo3bo11bo3bo$23bo11bo$20b3o13b3o$29bo$
27b2ob2o2$22b2o2bo5bo2b2o$21bobo2bo5bo2bobo$21bo15bo$20b2o5b2ob2o5b2o$
2b3o23b3o23b3o$bo55bo$bo3bo22b3o22bo3bo$bo2bobo22bo22bobo2bo$3bobo2bo
6bo27bo6bo2bobo$4bo3bo4b3o27b3o4bo3bo$8bo3bo33bo3bo$5b3o4b2o15bo15b2o
4b3o$28bobo$2o26bobo26b2o$obo9b2o15bo15b2o9bobo$2bo7bo4bo27bo4bo7bo$2b
2o6bo4b2obo5b2o7b2o5bob2o4bo6b2o$9bo6bob2o3bo2bo5bo2bo3b2obo6bo$2b2o6b
o4b2obo5b2o7b2o5bob2o4bo6b2o$2bo7bo4bo27bo4bo7bo$obo9b2o15bo15b2o9bobo
$2o26bobo26b2o$28bobo$5b3o4b2o15bo15b2o4b3o$8bo3bo33bo3bo$4bo3bo4b3o
27b3o4bo3bo$3bobo2bo6bo27bo6bo2bobo$bo2bobo22bo22bobo2bo$bo3bo22b3o22b
o3bo$bo55bo$2b3o23b3o23b3o$20b2o5b2ob2o5b2o$21bo15bo$21bobo2bo5bo2bobo
$22b2o2bo5bo2b2o2$27b2ob2o$29bo$20b3o13b3o$23bo11bo$19bo3bo11bo3bo$18b
obo2bo11bo2bobo$16bo2bobo15bobo2bo$16bo3bo7bobo7bo3bo$16bo9b3ob3o9bo$
17b3o5bo7bo5b3o$25b2o5b2o!

[hotdogPi]

Catagolue will generate a page automatically even if nobody has seen it before.

[hotdogPi]

p59 eureka (30+29), by Entity Valkyrie

Code: Select all

x = 115, y = 53, rule = B3/S23
36bo41bo$35bobo39bobo$35bobo39bobo$34b2ob3o35b3ob2o$29b2o9bo33bo9b2o$
29b2o3b2ob3o35b3ob2o3b2o$34b2obo39bob2o2$30b2o51b2o$29bo2bo49bo2bo$29b
obo3bo43bo3bobo$23bo6bo3bobo41bobo3bo6bo$22bobo10bo43bo10bobo$16b2o5bo
67bo5b2o$17bo20b2o35b2o20bo$17bobo18bo37bo18bobo$18b2o20bob2o27b2obo
20b2o$23bobo3bobo7b3o2bo2b2o17b2o2bo2b3o7bobo3bobo$22bo2bo3bo2bo10b2o
3bo4bo7bo4bo3b2o10bo2bo3bo2bo$23bobo3bobo7b4o2b3o4bobo5bobo4b3o2b4o7bo
bo3bobo$38bo4bobo7bo7bo7bobo4bo$4bo32bobo2b2o27b2o2bobo32bo$3bobo21bo
2bo7bo5bo2b2o17b2o2bo5bo7bo2bo21bobo$3bobo18b2o5bo10b2obo2bo17bo2bob2o
10bo5b2o18bobo$b3ob2o16bo17bo3b2o7bo5bo7b2o3bo17bo16b2ob3o$o10bo6b2o2b
o17bobobo9bo5bo9bobobo17bo2b2o6bo10bo$b3ob2o3bobo4bobo2bo3bo2bobo7bo2b
obo9b2o3b2o9bobo2bo7bobo2bo3bo2bobo4bobo3b2ob3o$3bob2o4bo14bo2b2o6b3ob
o2b2o23b2o2bob3o6b2o2bo14bo4b2obo$25bo10bo4bobo7b2o2b2ob2o2b2o7bobo4bo
10bo$9bo7bo5b2o11bob3o2b3obo2bo13bo2bob3o2b3obo11b2o5bo7bo$8bobo7bo2bo
13b2obo2b2o3b2o6b2o3b2o6b2o3b2o2bob2o13bo2bo7bobo$4b2o2bo2bo27b2o2b2ob
o7bo5bo7bob2o2b2o27bo2bo2b2o$4b2o3b2o30bobo2bobo4bo7bo4bobo2bobo30b2o
3b2o$17bobo3bobo15bo2bo2b2o4bo7bo4b2o2bo2bo15bobo3bobo$16bo2bo3bo2bo
15b2o8bobo5bobo8b2o15bo2bo3bo2bo$17bobo3bobo27bo7bo27bobo3bobo$29b2o
53b2o$29bobo51bobo$31bo51bo$25bo5b2o49b2o5bo$13bo10bobo61bobo10bo$12bo
bo3bo6bo63bo6bo3bobo$13bo3bobo75bobo3bo$16bo2bo75bo2bo$17b2o77b2o2$11b
ob2o85b2obo$9b3ob2o3b2o75b2o3b2ob3o$8bo9b2o75b2o9bo$9b3ob2o85b2ob3o$
11bobo87bobo$11bobo87bobo$12bo89bo!

p119 eureka (30+30+30+29), by Period1GliderGun after I asked if it was possible after seeing the p59

Code: Select all

x = 77, y = 51, rule = B3/S23
16bo43bo$14b3o43b3o$13bo8b2o29b2o8bo$13b2o7b2o29b2o7b2o4$4b2o65b2o$4b
2o65b2o8$26b2o21b2o$26bobo19bobo$28bo19bo$28b2o17b2o4$12b2o4b2o37b2o4b
2o$11bobo4bobo9b2o13b2o9bobo4bobo$2o8b2o8b2o8b2o13b2o8b2o8b2o8b2o$2o9b
obo4bobo13bo7bo13bobo4bobo9b2o$12b2o4b2o13bobo5bobo13b2o4b2o$34bo7bo3$
2b2o69b2o$3bo69bo$3bobo65bobo$4b2o65b2o$34b3o3b3o$34bobo3bobo$34b3o3b
3o4$34bo7bo$26b2o5bobo5bobo5b2o$26b2o6bo7bo6b2o4$8b2o7b2o39b2o7b2o$8b
2o8bo39bo8b2o$15b3o41b3o$15bo45bo!

[synperiplanar]

p86 LOM hassler found by Period1GliderGun yesterday:

Code: Select all

x = 63, y = 97, rule = B3/S23
7b2o2b2o6b2o2b2o$7b2o14b2o$7b2o2bo8bo2b2o$10bo10bo$12bo6bo$13b2o2b2o2$
2o28b2o$bo28bo$bobo24bobo$2b2o24b2o$7b2o14b2o$7b2o14b2o$9b4o6b4o$7b2ob
3o6b3ob2o$7b2o14b2o7$7b2o14b2o$7b2ob3o6b3ob2o$9b4o6b4o$7b2o14b2o$7b2o
14b2o$2b2o24b2o$bobo24bobo$bo28bo$2o28b2o2$13b2o2b2o$12bo6bo21b2o$10bo
10bo19b2o$7b2o2bo8bo2b2o$7b2o14b2o$7b2o2b2o6b2o2b2o4$26b3o$18bo7bobo$
18b2o5bo2bo$18b2o5bobo$19bo5b3o6$35b3o5bo$35bobo5b2o$34bo2bo5b2o$34bob
o7bo$34b3o4$38b2o2b2o6b2o2b2o$38b2o14b2o$38b2o2bo8bo2b2o$20b2o19bo10bo
$20b2o21bo6bo$44b2o2b2o2$31b2o28b2o$32bo28bo$32bobo24bobo$33b2o24b2o$
38b2o14b2o$38b2o14b2o$40b4o6b4o$38b2ob3o6b3ob2o$38b2o14b2o7$38b2o14b2o
$38b2ob3o6b3ob2o$40b4o6b4o$38b2o14b2o$38b2o14b2o$33b2o24b2o$32bobo24bo
bo$32bo28bo$31b2o28b2o2$44b2o2b2o$43bo6bo$41bo10bo$38b2o2bo8bo2b2o$38b
2o14b2o$38b2o2b2o6b2o2b2o!

The latest post in Synthesising Oscillators produces this pattern.

grab some NW H-G (maybe even a p2 one if it's smaller) and a Snark (or p2 90deg reflector) and you've probably got a reduction

Code: Select all

x = 33, y = 39, rule = B3/S23
26bo$25b3o$24bo2b2o2$23b2o$15b2obo4b2o$15bob2o4b2o2$8b2o$8b2o21b2o$31b
2o2$11b3o$3bo7bobo$3b2o5bo2bo$3b2o5bobo$4bo5b3o6$20b3o5bo$20bobo5b2o$
19bo2bo5b2o$19bobo7bo$19b3o2$2o$2o21b2o$23b2o2$8b2o4b2obo$8b2o4bob2o$
8b2o2$4b2o2bo$5b3o$6bo!
[[ PASTET EVERY 86 0 PASTE 2o$2o! 23 29 ]]
[[ PASTET EVERY 86 0 PASTE 2o$2o! 8 8 ]]

edit:

Code: Select all

x = 35, y = 97, rule = B3/S23
27b2o$27bobob2obo$29bobob2o$29b2o5$21b2o$21b2o5b2o$28bobo$29bobo$30bo
9$20bo$19bo$19b3o6$27bo$26b3o$25bo2b2o2$24b2o$16b2obo4b2o$16bob2o4b2o
2$9b2o$9b2o21b2o$32b2o2$12b3o$4bo7bobo$4b2o5bo2bo$4b2o5bobo$5bo5b3o6$
21b3o5bo$21bobo5b2o$20bo2bo5b2o$20bobo7bo$20b3o2$b2o$b2o21b2o$24b2o2$
9b2o4b2obo$9b2o4bob2o$9b2o2$5b2o2bo$6b3o$7bo6$13b3o$15bo$14bo9$4bo$3b
obo$4bobo$5b2o5b2o$12b2o5$4b2o$2obobo$ob2obobo$6b2o!
[[ PASTET EVERY 86 0 PASTE 2o$2o! 24 58 ]]
[[ PASTET EVERY 86 0 PASTE 2o$2o! 9 37 ]]

very close

[KtT]

P28 Eureka (and its skewed variant) hasslers, based on these examples:

Code: Select all

x = 76, y = 43, rule = B3/S23
obo16bobo30bobo16bobo$2obo14bob2o30b2obo14bob2o$3bo2b2o6b2o2bo36bo2b2o
6b2o2bo$2obobobo6bobobob2o30b2obobobo6bobobob2o$o2bo2bo8bo2bo2bo30bo2b
o2bo8bo2bo2bo$2bo16bo34bo16bo$4bo12bo38bo12bo$2b3o5b2o5b3o34b3o5b2o5b
3o$9bo2bo48bo2bo$6b2obo2bob2o42b2obo2bob2o$6b2obo2bob2o42b2obo2bob2o$
9bo2bo48bo2bo$10b2o50b2o4$3bo14bo36bo14bo$2bobo5bo6bobo34bobo5bo6bobo
$3bo4b2o8bo36bo4b2o8bo$10bo51bo$65bo$65bo$71bo$10bo53bo7bo$3bo4b2o8bo
38bo4b2o8bo$2bobo5bo6bobo36bobo5bo6bo$3bo14bo38bo4$10b2o52b2o$9bo2bo50b
o2bo$6b2obo2bob2o44b2obo2bob2o$6b2obo2bob2o44b2obo2bob2o$9bo2bo50bo2b
o$2b3o5b2o5b3o36b3o5b2o5b3o$4bo12bo40bo12bo$2bo16bo36bo16bo$o2bo2bo8b
o2bo2bo32bo2bo2bo8bo2bo2bo$2obobobo6bobobob2o32b2obobobo6bobobob2o$3b
o2b2o6b2o2bo38bo2b2o6b2o2bo$2obo14bob2o32b2obo14bob2o$obo16bobo32bobo
16bobo!

[eRroR_6o6]

Has anyone ever tried to complete this p8 partial?

Code: Select all

x = 11, y = 8, rule = B3/S23
4bo$3bobo$3bobo3bo$b3ob2o2b2o$o8b2o$b3ob2o$3bobob2o$6b3o!

Right now I have it running in JLS (as a flipper, of course), and it's not looking very hopeful so far.

[Entity Valkyrie 2]

Has anyone ever tried to complete this p8 partial?

Code: Select all

x = 11, y = 8, rule = B3/S23
4bo$3bobo$3bobo3bo$b3ob2o2b2o$o8b2o$b3ob2o$3bobob2o$6b3o!

Right now I have it running in JLS (as a flipper, of course), and it's not looking very hopeful so far.

Related reaction:

Code: Select all

x = 8, y = 6, rule = B3/S23
2bo4bo$3bo3bo$4b3o$bo$ob2o$b3o!

P8:

Code: Select all

x = 28, y = 28, rule = B3/S23
24bo$22b3o$21bo$21b2o$11b2o$12bo5b3o$12bob2obo3bo$13bo8bo$19bo3bo$18bo
bo$15bo3bo$4bo11bo8bo$4b3o10bo3bob2obo$7bo10b3o5bo$6b2o7bo10b2o$14bob
2o$15b3o$8b3o$7bo3bo$6bo5bo$7bo3bo$2b2o4b3o$bobo$bo$2o9b2o$11bo$12b3o$
14bo!

There is a catalyst that can reverse this loaf flip:

Code: Select all

x = 15, y = 15, rule = B3/S23
5b2o$ob3o$bo$5b2o$4bo2bo$4bobo$5bo7b2o$8b2obo2bo$7bobob3o$2b2o3bobo$2b
o2bobob3o$3b4obo3bo$8bo2b2o$5bobo$5b2o!

[hotcrystal0]

P5 “mini pseudo-barberpole” stabilized by 5blink:

Code: Select all

x = 17, y = 12, rule = B3/S23
b2o$bobo3bo4bo$2b2o4bo2bobo$b2o3bob2o2bo$b2o2b2o2bo$2o6b2o5b2o$5b2o2b
o4bobo$5bobo$6bo5bob2o2$10bobo$10b2o!

[Sokwe]

Has anyone ever tried to complete this p8 partial?

Code: Select all

x = 11, y = 8, rule = B3/S23
4bo$3bobo$3bobo3bo$b3ob2o2b2o$o8b2o$b3ob2o$3bobob2o$6b3o!

Right now I have it running in JLS (as a flipper, of course), and it's not looking very hopeful so far.

Generally you wouldn't want to run this as a flipper search, because that's essentially like running a p8 search. You instead want to reduce the period to 4 by using JLS subperiodic cells. The best way to run a search like this is by setting up the search in JLS and running it with LLS. Here is an example of such a search setup for a p57 oscillator.

In this case it's probably also possible to solve this purely in JLS. You need to set up a full p8 search with the p8 rotor as shown. Then set the cells near (but not at) the interaction site to have period 4 by selecting them and pressing '4' on your keyboard. Put 2-cell thick p1 borders around the p4 area, and surround those with unchecked cells. Make sure that there are still some p8 cells around the reaction site. If you bring the p4 cells too close there won't be any solutions.

[Entity Valkyrie 2]

P5 “mini pseudo-barberpole” stabilized by 5blink:

Code: Select all

x = 17, y = 12, rule = B3/S23
b2o$bobo3bo4bo$2b2o4bo2bobo$b2o3bob2o2bo$b2o2b2o2bo$2o6b2o5b2o$5b2o2b
o4bobo$5bobo$6bo5bob2o2$10bobo$10b2o!

Nice! Here's a P10 version:

Code: Select all

x = 37, y = 21, rule = B3/S23
3b2o7b2o$2bo2bo5bo2bo$2bob2o5b2obo$b2o11b2o$3b3o5b3o$b2o3bo3bo3b2o$obo
3bo3bo3bobo9b2ob2o$o15bo3b2o4bo3bo$7bobo9bobo5b3o$bo5bobo5bo3b2o3b3o3b
3o$4bo2bobo2bo4b3o4bo2bobo2bo$4b3o3b3o3b2o8b2ob2o$7b3o5bobo$6bo3bo4b2o
4b3o9b3o$6b2ob2o9bo2b2o7b2o2bo$21b2o2bo5bo2b2o$23b3o5b3o$21b2o11b2o$
22bob2o5b2obo$22bo2bo5bo2bo$23b2o7b2o!

[hotcrystal0]

P4 by Gustone that has a middle part similar to an oscillator I've seen in Symbiosis:

Code: Select all

x = 28, y = 15, rule = B3/S23
5b2o14b2o$bo2bo2bo2bo6bo2bo2bo2bo$b2o2b2o2b2o6b2o2b2o2b2o$2bo2b2o2bo8b
o2b2o2bo$b2o6b2o6b2o6b2o$bobo4bobo6bobo4bobo$b2o6b2o6b2o6b2o$11b2o2b2o
$b2o6b2o2b2o2b2o6b2o$o2bo4bo2bo4bo2bo4bo2bo$3bo4bo10bo4bo$bo3b2o3bo6bo
3b2o3bo$bo8bo6bo8bo$bo2bo2bo2bo6bo2bo2bo2bo$5b2o14b2o!

[iNoMed]

Here's a reduction of the period-119 Pi heptomino hassler from 98 cells to 79 cells, achieved with a stable set of catalysts to restore a transparent block:

Code: Select all

x = 34, y = 45, rule = B3/S23
14b2o$9b2o2bobo$9bo3bo$10b3ob4o4b2o$12bobo2bo4b2o$4bo$4b3o$7bo$6b2o24b
2o$32bo$30bobo$30b2o3$b2o$b2o10b3o$12bo3bo$12b2ob2o3$26bo$25bobo$26b2o
5$2b2o$bobo$bo$2o5$16b2o$16b2o3$19bo$12bo2bo2bobo$12b4o3bo2$14b2o$14b
2o!

[Sokwe]

I just completed a series of LLS searches to find all p5 oscillators up to 15 cells. The search found pseudo-barberpole in all four orientations and nothing else.

The JLS status file representing the base of the search is attached below:

p5_setup.zip

(1.99 KiB) Downloaded 20 times

The green cells are p1 (not p2 as you might expect if you're familiar with the JLS defaults), and the center cell represents the first p5 cell in the sense that it maximizes x - y among all p5 cells that maximize x + y. I split the search into 30 parts corresponding to the 30 possible p5 cell histories for the first p5 cell. The shortest of these searches took 4 hours, while the longest took 8 days.

For this search, I also modified LLS slightly by adding a line reading

Code: Select all

determined = True

directly below the line reading

Code: Select all

determined = search_pattern.deterministic()

This causes LLS to find multiple solutions only if those solutions differ in generation 0. The purpose of this is to prevent LLS form considering pseudo-barberpole with different junk at the unchecked edges in generations 1 to 4 as different patterns. This would not be sufficient for a 16-cell search, as it would still consider pseudo-barberpole with one on cell in various locations along the unchecked edge in different positions in generation 0 to be different patterns. This could be accounted for by filtering any solutions containing pseudo-barberpole, but that would require more changes to LLS.

[Resu]

I just completed a series of LLS searches to find all p5 oscillators up to 15 cells. The search found pseudo-barberpole in all four orientations and nothing else.

How long does a search like this take?

[Sokwe]

How long does a search like this take?

I split the search into 30 pieces that took varying lengths of time. I was able to 16 simultaneously thanks to a recent boon in computing resources. I think the most meaningful measure of the time taken is the time it took to finish the most difficult piece. This was about 8 days for the piece where the first p5 cell has a cell history of OFF-OFF-OFF-OFF-ON. This is the cell history of the first p5 cell in both one orientation of the minimal phase of pseudo-barberpole, and one of the minimum phases of octagon 2, so I suspect it spent a lot of time working its way to finding pseudo-barberpole and then almost finding octagon 2 before being stopped by the population limit.

There were four other pieces that that took between 4.5 and 5.5 days. One of these corresponds to the other minimal phase of octagon 2, but it wasn't completely clear to me why the others might have taken a long time. It seemed that those with a starting p5 cell history that was mostly OFF tended to take longer than a starting p5 cell history that was mostly ON. Interestingly, the piece corresponding to OFF-ON-OFF-ON-ON finds two orientations of pseudo-barberpole, which I would expect to take a particularly long time, but the total search only took about 1 day, which was near the median.

[WhiteHawk]

Is there a p3 toad-like oscillator which could finish this partial from 2023 (mvr)? There are known p3 sparkers which complete it

Code: Select all

x = 29, y = 22, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o$4bo20b3o$b3o15b2o5b3o$bo18bo$17b3o$17bo!

[C_R_116]

Is there a p3 toad-like oscillator which could finish this partial from 2023 (mvr)? There are known p3 sparkers which complete it

Code: Select all

x = 29, y = 22, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o$4bo20b3o$b3o15b2o5b3o$bo18bo$17b3o$17bo!

Here's one example I found with JLS:

Code: Select all

x = 61, y = 56, rule = B3/S23
2bo$2b3o3b2o$5bo2bobo$3ob2o5bob2o$o2bo5bob2obo$bobob2ob3o$2b2obo4bo$6b
ob2ob2o$2b3obob2ob2o$2bo2bo9bo$3b2o5bo3bobo$9b3o2bo2bo$9b3o$10bo4bobo$
17b2o$10b2o5b2o$9bo5bobo$8bo3b2o13bo$17bo7b3o$8bob3o2bobo6bo18bo$8bo2b
3obo3bo4b2o15b3o$9b2obo2bo3bo20bo$10bobobo3bo21b2o$10bo3b3o$10bo$10bo
26b2o$22b2o13bobo3b2o$21bobo15bo3b2o$16b2o3bo15bobo$16b2o3bobo13b2o$
22b2o26bo$50bo$44b3o3bo$19b2o21bo3bobobo$20bo20bo3bo2bob2o$17b3o15b2o
4bo3bob3o2bo$17bo18bo6bobo2b3obo$33b3o7bo$33bo13b2o3bo$43bobo5bo$42b2o
5b2o$42b2o$43bobo4bo$49b3o$43bo2bo2b3o$44bobo3bo5b2o$45bo9bo2bo$48b2ob
2obob3o$48b2ob2obo$50bo4bob2o$50b3ob2obobo$46bob2obo5bo2bo$46b2obo5b2o
b3o$50bobo2bo$51b2o3b3o$58bo!

Edit: reduction:

Code: Select all

x = 47, y = 34, rule = B3/S23
14b2o$14bo$2b2o8bobo$bo2bo6b3o$2b2obo3b3o$3bobo2bobo$3bob2o13bo$b2o7bo
7b3o$o2b4obobo6bo18bo$bobo2bobo3bo4b2o15b3o$2o2bo2b2o3bo20bo$o2bo7bo
21b2o$bob3ob3o$2b2o3bo$30b2o$15b2o13bobo3b2o$14bobo15bo3b2o$9b2o3bo15b
obo$9b2o3bobo13b2o$15b2o$39bo3b2o$37b3ob3obo$12b2o21bo7bo2bo$13bo20bo
3b2o2bo2b2o$10b3o15b2o4bo3bobo2bobo$10bo18bo6bobob4o2bo$26b3o7bo7b2o$
26bo13b2obo$36bobo2bobo$35b3o3bob2o$33b3o6bo2bo$32bobo8b2o$32bo$31b2o!

Edit 2: More reduction:

Code: Select all

x = 47, y = 34, rule = B3/S23
14b2o$14bo$12bobo$5b2o4b3o$5bo3b3o$2b2obo2bobo$3bob2o13bo$2bo7bo7b3o$
bob4obobo6bo18bo$bobo2bobo3bo4b2o15b3o$2o2bo2b2o3bo20bo$bobo7bo21b2o$
bob3ob3o$2b2o3bo$30b2o$15b2o13bobo3b2o$14bobo15bo3b2o$9b2o3bo15bobo$9b
2o3bobo13b2o$15b2o$39bo3b2o$37b3ob3obo$12b2o21bo7bobo$13bo20bo3b2o2bo
2b2o$10b3o15b2o4bo3bobo2bobo$10bo18bo6bobob4obo$26b3o7bo7bo$26bo13b2o
bo$36bobo2bob2o$35b3o3bo$33b3o4b2o$32bobo$32bo$31b2o!

[Sokwe]

Is there a p3 toad-like oscillator which could finish this partial from 2023 (mvr)? There are known p3 sparkers which complete it

Code: Select all

x = 29, y = 22, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o$4bo20b3o$b3o15b2o5b3o$bo18bo$17b3o$17bo!

For something like this, you should check the wiki page for Pi-heptomino hasslers. The p39 link in the table takes you to another page that has this oscillator on it. I suspect the supporting p3 oscillators in that example would meet your definition of "p3 toad-like oscillators".

[WhiteHawk]

Never mind. Invalid point

[Sokwe]

I was thinking more along the lines of the supporting oscillator being fullt stable at the contact point

I'm not sure what you mean by "fully stable at the contact point". The p3 examples on the wiki page and those given by C_R_116 above seem just as stable at the contact point as the toad itself.

[ElijahKen]

Is there a p3 toad-like oscillator which could finish this partial from 2023 (mvr)? There are known p3 sparkers which complete it

Code: Select all

x = 29, y = 22, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o$4bo20b3o$b3o15b2o5b3o$bo18bo$17b3o$17bo!

Broken keys often can work as a p3 toad, but it fails here due to a spark.

Code: Select all

x = 30, y = 28, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o21bo$4bo20bobo$b3o15b2o4bo2bo$bo18bo$17b3o6bobo$
17bo10b2o$28b2o$26bobo2$25bo2bo$25bobo$26bo!
[[ STOP 16 ]]

[affamatodidio]

Is there a p3 toad-like oscillator which could finish this partial from 2023 (mvr)? There are known p3 sparkers which complete it

Code: Select all

x = 29, y = 22, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o$4bo20b3o$b3o15b2o5b3o$bo18bo$17b3o$17bo!

Broken keys often can work as a p3 toad, but it fails here due to a spark.

Code: Select all

x = 30, y = 28, rule = B3/S23
11bo$9b3o$8bo18bo$3o5b2o15b3o$b3o20bo$24b2o4$20b3o4b2o$6b3o13bo4b2o$2o
4bo13b3o$2o4b3o4$3b2o21bo$4bo20bobo$b3o15b2o4bo2bo$bo18bo$17b3o6bobo$
17bo10b2o$28b2o$26bobo2$25bo2bo$25bobo$26bo!
[[ STOP 16 ]]

Code: Select all

x = 49, y = 30, rule = B3/S23
8bo3b2o$2bo3b3o2bo2bo$bobobo3b3obobo$o2bobob2o3bo2bo$4obo4b2o9bo$3bo2b
2obo2b3o4b3o$5o4b3o6bo18bo$o3bo2b3o3bo4b2o15b3o$b2obob2obo3bo20bo$2bo
bo2bo4bo21b2o$o4bo3b2o$2o4b2o16bo$23bobo$30b3o4b2o$16b3o13bo4b2o$10b2o
4bo13b3o$10b2o4b3o$23bobo$24bo16b2o4b2o$38b2o3bo4bo$13b2o21bo4bo2bobo
$14bo20bo3bob2obob2o$11b3o15b2o4bo3b3o2bo3bo$11bo18bo6b3o4b5o$27b3o4b
3o2bob2o2bo$27bo9b2o4bob4o$33bo2bo3b2obobo2bo$33bobob3o3bobobo$34bo2b
o2b3o3bo$35b2o3bo!

EDIT by dvgrn: A version of this by iNoMed, May 2023, is shown in Period-39 pi-heptomino hasslers.