Oscillator Discussion Thread

[carsoncheng]

38-cell p3 weak sparker, found yesterday:

Code: Select all

x = 23, y = 7, rule = B3/S23
2o7b3o$4obo12bo$obo2b3obobo5b2o2$4b2o5bobob3o2bobo$4bo12bob4o$11b3o7b
2o!

P76 pi hassler, also from yesterday:

Code: Select all

x = 94, y = 36, rule = B3/S23
67b2o10b2o$66bo2bo8bo2bo$66b3o10b3o$23bo10b2o33b10o$23b3o42bo2b6o2bo$
26bo41b2o2b4o2b2o$25b2o$61b2o$56b2o2bobo$36b2o3b2o13bo3bo4bo$34b2obo3b
ob2o12b3ob5o12b2o$34bo9bo14bobo15b4o6b3o$34bobo5bobo14bobob3o10bo2bob
2o$o16bo17b2ob3ob2o16b2obo2bo10bo4bo2bo5bo$3o13bo2bo17bo3bo23b2o13b3o
2bo5bo$3bo12b2ob3o15bo3bo30b3o10bo5bo$2b2o12bo2b3o16b3o30b2o2b4o$19bo
b2o48b2ob2o2bo$15bo2b2ob2o48b2obo$15b4o2b2o30b3o16b3o2bo12b2o$2bo5bo10b
3o30bo3bo15b3ob2o12bo$2bo5bo2b3o13b2o23bo3bo17bo2bo13b3o$2bo5bo2bo4bo
10bo2bob2o16b2ob3ob2o17bo16bo$11b2obo2bo10b3obobo14bobo5bobo$4b3o6b4o
15bobo14bo9bo$14b2o12b5ob3o12b2obo3bob2o$28bo4bo3bo13b2o3b2o$31bobo2b
2o$31b2o$67b2o$14b2o2b4o2b2o41bo$14bo2b6o2bo42b3o$15b10o33b2o10bo$12b
3o10b3o$12bo2bo8bo2bo$13b2o10b2o!

[carsoncheng]

Misc hasslers:

Code: Select all

x = 158, y = 131, rule = B3/S23
56bo40bo38b3o13b3o$54b5o36b5o36b3o13b3o$53bo5bo34bo5bo35b3o13b3o$53bo
2b3o13b2o6b2o13b3o2bo38b3o7b3o$52b2obo16bo8bo16bob2o37b3o7b3o$51bo3b2o
13bobo8bobo13b2o3bo36b3o7b3o$52bobo2bo8b2o2b2o10b2o2b2o8bo2bobo$25bo
25b2ob2ob2o6bo2bo16bo2bo6b2ob2ob2o$24b3o31bo6bo2bo16bo2bo6bo$23bob3o
23b2ob2ob2o6bo2bo16bo2bo6b2ob2ob2o38b2o5b2o$13bo8bo3bo25bobo2bo8b2o18b
2o8bo2bobo35b2obo2bo3bo2bob2o$13b3o5bo3bo25bo3b2o40b2o3bo34bo4bobobobo
4bo$16bo3b3obo27b2obo15bo10bo15bob2o36b5obobob5o$15b2o4b3o29bo2b3o11bo
bo8bobo11b3o2bo42b2ob2o$22bo30bo5bo2b2o5bo3bo6bo3bo5b2o2bo5bo33b2o2b2o
4bobo4b2o2b2o$54b5o3b2o6bobo8bobo6b2o3b5o35bo2bob2o2bobo2b2obo2bo$18b
2o36bo14bo10bo14bo36bo4bobo2bobo2bobo4bo$17b3o114b5o3bobobobo3b5o$18b
2o36bo14bo10bo14bo40bob2o2bobo2b2obo$13b2o39b5o3b2o6bobo8bobo6b2o3b5o
36bo2bo4bobo4bo2bo$13b3o37bo5bo2b2o5bo3bo6bo3bo5b2o2bo5bo35b2obobobo3b
obobob2o$13b2o38bo2b3o11bobo8bobo11b3o2bo38bo11bo$52b2obo15bo10bo15bob
2o37b2ob2o3b2ob2o$10bo40bo3b2o40b2o3bo$9b3o4b2o34bobo2bo8b2o18b2o8bo2b
obo35b7o3b7o$8bob3o3bo34b2ob2ob2o6bo2bo16bo2bo6b2ob2ob2o34bo6bobo6bo$
7bo3bo5b3o38bo6bo2bo16bo2bo6bo44b2ob2ob2ob2o$6bo3bo8bo31b2ob2ob2o6bo2b
o16bo2bo6b2ob2ob2o36bobob2ob2obobo$5b3obo42bobo2bo8b2o2b2o10b2o2b2o8bo
2bobo35b3o4bobo4b3o$6b3o42bo3b2o13bobo8bobo13b2o3bo33bo3b2obo3bob2o3bo
$7bo44b2obo16bo8bo16bob2o35b2o4bo3bo4b2o$53bo2b3o13b2o6b2o13b3o2bo38b
4o5b4o2b3o$53bo5bo34bo5bo38bo2bob3obo2bobo3bo$54b5o36b5o43b5o5bo2b2o$
56bo40bo46b3o6bobo$152b2o2b2o$145bo5bo2bobo$144b3o5b3o2bo$143b5o7b3o$
134bo7b2o3b2o3b3o$134b3o4b3o3b3o2bo3b2o$137bo4b2o3b2o5b2obo$136b2o5b5o
7bo$127b2o8b3o4b3o8bobo$127bobo8b3o4b3o8b2o$63b2o16b2o46bo7b5o5b2o$62b
obo16bobo43bob2o5b2o3b2o4bo$62bo20bo43b2o3bo2b3o3b3o4b3o$18b2o5b2o33b
2ob4o12b4ob2o44b3o3b2o3b2o7bo$18b2o5b2o29b2obobo4bo12bo4bobob2o37b3o7b
5o$56b2obobo2bo2b2o8b2o2bo2bobob2o37bo2b3o5b3o$8b2o25b2o22bobo3b2o2bo
6bo2b2o3bobo41bobo2bo5bo$b2o6b3o21b3o6b2o15bob2obo2b2obo4bob2o2bob2obo
40b2o2b2o$bo5bo4bo19bo4bo5bo16bo4bo4bo4bo4bo4bo43bobo6b3o$2b3obob4o6b
3o3b3o6b4obob3o18b3obob3o6b3obob3o42b2o2bo5b5o$4bobo3bo6bo2bo3bo2bo6bo
3bobo22b5o10b5o44bo3bobo2bob3obo2bo$5b2o3bo6b3o5b3o6bo3b2o88b3o2b4o5b
4o$10bo23bo96b2o4bo3bo4b2o$3bo2bo3bo23bo3bo2bo88bo3b2obo3bob2o3bo$2bob
obo3bo23bo3bobobo88b3o4bobo4b3o$2bobobo3bo23bo3bobobo90bobob2ob2obobo$
3bo2bo3bo23bo3bo2bo24b3o8b3o54b2ob2ob2ob2o$10bo23bo31bobo8bobo51bo6bob
o6bo$5b2o3bo6b3o5b3o6bo3b2o26bo2bo6bo2bo51b7o3b7o$4bobo3bo6bo2bo3bo2bo
6bo3bobo26bobo6bobo$2b3obob4o6b3o3b3o6b4obob3o24b3o6b3o54b2ob2o3b2ob2o
$bo5bo4bo19bo4bo5bo89bo11bo$b2o6b3o21b3o6b2o18b2o18b2o46b2obobobo3bobo
bob2o$8b2o25b2o25b2o18b2o46bo2bo4bobo4bo2bo$132bob2o2bobo2b2obo$18b2o
5b2o101b5o3bobobobo3b5o$18b2o5b2o101bo4bobo2bobo2bobo4bo$129bo2bob2o2b
obo2b2obo2bo$128b2o2b2o4bobo4b2o2b2o$137b2ob2o$66b4o62b5obobob5o$65b6o
60bo4bobobobo4bo$64bob4obo59b2obo2bo3bo2bob2o$62b3o6b3o61b2o5b2o$61bo
4bo3bo3bo$62b5o2bo2bobo$70bob2o$64b2ob4o62b3o7b3o$63bo3bo3b3o59b3o7b3o
$63bobob4o3bo58b3o7b3o$62b2ob2obo3b2o56b3o13b3o$70bobo57b3o13b3o$70bob
o57b3o13b3o$68bobob2o$68b2o4$13b2o$14bo2b2o$14bobo2bo$13b2o2bo2bob2o$
14bobobob2obo$12bo3b3o$11bob3obob4o$11bo3bo3bo3bo$3bo8b3o5b3o$3b3o8bob
3obo$6bo8b5o$5b2o9b3o3b2o$21bobo$22bo$26b2o$26bo$7b3o14bobo$6bo3bo7b3o
3b2o$5bo5bo5bo3bo$6bo3bo5bo5bo$2b2o3b3o7bo3bo$bobo14b3o$bo$2o$5bo$4bob
o$4b2o3b3o9b2o$8b5o8bo$7bob3obo8b3o$5b3o5b3o8bo$4bo3bo3bo3bo$5b4obob3o
bo$9b3o3bo$4bob2obobobo$4b2obo2bo2b2o$8bo2bobo$9b2o2bo$13b2o!

Stator reduction to your p16 (532 -> 492):

Code: Select all

x = 33, y = 88, rule = B3/S23
4b3o13b3o$4b3o13b3o$4b3o13b3o$7b3o7b3o$7b3o7b3o$7b3o7b3o4$9b2o5b2o$5b2obo2bo
3bo2bob2o$5bo4bobobobo4bo$6b5obobob5o$11b2ob2o$6b2o4bobo4b2o$6bob2o2bobo2b2ob
o$7bobo2bobo2bobo$4b3o3bobobobo3b3o$bobo2bob2o2bobo2b2obo2bobo$b2obo2bo4bobo
4bo2bob2o$4b2obobobo3bobobob2o$4bo2bo11bo2bo$6bobob2o3b2obobo$7bo11bo$8b4o3b
4o$12bobo$8b2ob2ob2ob2o$7bobob2ob2obobo$7bo4bobo4bo$8b2obo3bob2o$11bo3bo$6b5o
5b5o$5bo4bob3obo3bo$4bo2bo3b5o3bo$4bob2o4b3o4b2o$b2obobo$2bobo2bo$2bob3o7bo$
3bo9bo$4b3o7bo9bo$6bo6b2o7b3o$2b3o6bobo7bo$o2bo7bobo7b2o$2o3bo21b2o$4b2o21bo$
10b2o7bobo7bob2o$11bo7bobo6b3obo$8b3o7b2o6bo$8bo9bo7b3o$19bo9bo$18bo7b3obo$
25bo2bo2bo$26bobob2o$12b2o4b3o4b2obo$13bo3b5o3bo2bo$12bo3bob3obo4bo$12b5o5b5o
$17bo3bo$14b2obo3bob2o$13bo4bobo4bo$13bobob2ob2obobo$14b2ob2ob2ob2o$18bobo$
14b4o3b4o$13bo11bo$12bobob2o3b2obobo$10bo2bo11bo2bo$10b2obobobo3bobobob2o$7b
2obo2bo4bobo4bo2bob2o$7bobo2bob2o2bobo2b2obo2bobo$10b3o3bobobobo3b3o$13bobo2b
obo2bobo$12bob2o2bobo2b2obo$12b2o4bobo4b2o$17b2ob2o$12b5obobob5o$11bo4bobobob
o4bo$11b2obo2bo3bo2bob2o$15b2o5b2o4$13b3o7b3o$13b3o7b3o$13b3o7b3o$10b3o13b3o$
10b3o13b3o$10b3o13b3o!

Also in the process, I found a stator reduction to 209P8, although at the cost of reducing the clearance:

Code: Select all

x = 35, y = 25, rule = B3/S23
18b2o$19bo$18bo$2o15bob3o$2obo6b2o5bo2bo$4bo5bobob2ob2o3bo8b2obo$bo10bobobo2b
3obo3b2o2bob2o$2bob2o5b2o3bobo3bobobo2bobo$4b2o3b2obo5bob2o2bob2obobo$9bobo3b
2obo2b2obobo2bob2o$10bo2bo6bobo2b3o5bo$11b9o4bo3b2o3bo$33bo$11b9o4bo3b2o3bo$
10bo2bo6bobo2b3o5bo$9bobo3b2obo2b2obobo2bob2o$4b2o3b2obo5bob2o2bob2obobo$2bob
2o5b2o3bobo3bobobo2bobo$bo10bobobo2b3obo3b2o2bob2o$4bo5bobob2ob2o3bo8b2obo$2o
bo6b2o5bo2bo$2o15bob3o$18bo$19bo$18b2o!

EDIT:

Might as well just show these reductions:

Code: Select all

x = 79, y = 40, rule = B3/S23
20bo4b2o35bo4b2o8b2o$15b2obo3bobo2bo4bo24b2obo3bobo2bo2b2o4bo$15bo9b3o
3bobo23bo9b3o2bo2b3o$16b2o5b2o6bobo24b2o5b2o6bobo$13b3o2b5o2bo4b2obob
2o18b3o2b5o2bo4b2o$13bo2bo7b2o4bo2bobo2bo16bo2bo7b2o4bo2bo2bo$14b2o15b
obo3b2o17b2o15bob4o$31bo2bo38bo$33b2o40b2o$31bo41bo2bo$31b4o38b3o$35bo
$31b4o38b3o$17b2o12bo27b2o12bo2bo$17bobo13b2o24bobo13b2o$17b3o11bo2bo
24b3o11bo$17bo2bo10bobo3b2o20bo2bo10bob4o$18b2o10bo2bobo2bo5b2o14b2o
10bo2bo2bo$6bo23b2obob2o7bo4b2o21b2o$5bobo23bobo11b3o2bo22bobo$5bobo
23bobo13bobo22bo2b3o$2b2obob2o23bo16b2o21b2o4bo$o2bobo2bo10b2o23bo2bo
2bo10b2o14b2o$2o3bobo10bo2bo22b4obo10bo2bo$4bo2bo11b3o27bo11b3o$4b2o
13bobo24b2o13bobo$7bo12b2o24bo2bo12b2o$4b4o39b3o$3bo$4b4o39b3o$7bo38bo
2bo$4b2o40b2o$4bo2bo41bo$2o3bobo15b2o19b4obo15b2o$o2bobo2bo4b2o7bo2bo
18bo2bo2bo4b2o7bo2bo$2b2obob2o4bo2b5o2b3o23b2o4bo2b5o2b3o$5bobo6b2o5b
2o24bobo6b2o5b2o$5bobo3b3o9bo21b3o2bo2b3o9bo$6bo4bo2bobo3bob2o20bo4b2o
2bo2bobo3bob2o$12b2o4bo25b2o8b2o4bo!

Stator reduction (196 -> 192):

Code: Select all

x = 39, y = 42, rule = B3/S23
10b2o$11b3o9b2o$9bo4bo2b3o2bo2bo$8bob4o2b5o2b3o$8bobo3b9o$3b2o2b2o4bo9bo$3bob
o3bo3b2o7b2o$5b3obo$4bo$4b3ob2o$8bo$4b4o$3bo$4b4o$8bo10b2o$4b3ob2o10b2o$4bo
14b3o$2o3b3obo9b2o$o2bobo3bo9bo$2b2obob2o23bo$5bobo23bobo$5bobo23bobo$6bo23b
2obob2obo$19bo9bo3bobob2o$18b2o9bob3o$17b3o14bo$17b2o10b2ob3o$18b2o10bo$31b4o
$35bo$31b4o$30bo$29b2ob3o$34bo$14b2o13bob3o$13bo2bo7b2o3bo3bobo$13b3o9bo4b2o
2b2o$16b9o3bobo$15bo2b5o2b4obo$15b2o2b3o2bo4bo$25b3o$27b2o!

[Anivec]

P38 Blonk-tie hassler partial completed by INoMed (Mod edit: actually found by Mitchell Riley on August 4, 2023 with stator reduction by iNoMed):

Code: Select all

x = 47, y = 27, rule = B3/S23
9b2o$10bo$10bobo22bo$11b2o2b2o16b3o$15b2o15bo3b2o$5b2o19bob2obob2o3bo$
6bo19b2obobobob3o$5bo25bobobo$5b2o23b2ob2o2$5b2o$4bo2bo9bo12b2o10b2o$
2obob2o9b3o10bobo11bo$2obo39bob2o$3bo11bobo10b3o9b2obob2o$3b2o10b2o12b
o9bo2bo$40b2o2$12b2ob2o23b2o$11bobobo25bo$9b3obobobob2o19bo$8bo3b2obob
2obo19b2o$9b2o3bo15b2o$11b3o16b2o2b2o$11bo22bobo$36bo$36b2o!

[JP21]

Misc hasslers:

Code: Select all

rle

Stator reduction to your p16 (532 -> 492):

Code: Select all

rle

Monomerization (top for population, bottom for bounding box):

Code: Select all

x = 54, y = 52, rule = B3/S23
43b2o$19b2o15bo7bo$20bo15b3o3bo$2bo16bo19bo2b2o$bobo14bob3o11b5obobo2b
o$o3bo6b2o5bo2bo11bo4bobo3b2o$bo3bo5bobob2ob2o3bo8bo2b2obob2o$2bo3bo6b
obobo2b3obo3b2o2bob2obo$3bo3bo5bobo3bo3bobobo2bobo$4bobo3bo2b2ob2ob2ob
o2bob3o2bo19b2o$5bo4bob3o2b2obo4bo4bob2o16bob2o$11bo4bo3bobo2bo4b2o3bo
13bo$12b9o5bo2b2obo8bo10bo$32bo3bo2bob2o5b2obo$12b9o5bo2b2obo6b3o6b2o$
11bo4bo3bobo2bo4b2o3bo$5bo4bob3o2b2obo4bo4bob2o$4bobo3bo2b2ob2ob2obo2b
ob3o2bo$3bo3bo5bobo3bo3bobobo2bobo$2bo3bo6bobobo2b3obo3b2o2bob2o8b2o$b
o3bo5bobob2ob2o3bo8b2obo7b3o$o3bo6b2o5bo2bo20bob2o$bobo14bob3o18bobo$
2bo16bo21bo2bo$20bo21b2o$19b2o3$19b2o14b2o3b2o$20bo13bobo2bobo$2bo16bo
14bo4bo2b2o$bobo14bob3o9b2ob4obobo2bo$o3bo6b2o5bo2bo11bo4bobo3b2o$bo3b
o5bobob2ob2o3bo8bo2b2obob2o$2bo3bo6bobobo2b3obo3b2o2bob2obo$3bo3bo5bob
o3bo3bobobo2bobo15b2o$4bobo3bo2b2ob2ob2obo2bob3o2bo15bo$5bo4bob3o2b2ob
o4bo4bob2o12bobo$11bo4bo3bobo2bo4b2o3bo10b2o$12b9o5bo2b2obo8bo$32bo3bo
2bob2o$12b9o5bo2b2obo6b3o5bo$11bo4bo3bobo2bo4b2o3bo12b2o$5bo4bob3o2b2o
bo4bo4bob2o12b2o$4bobo3bo2b2ob2ob2obo2bob3o2bo15bo$3bo3bo5bobo3bo3bobo
bo2bobo$2bo3bo6bobobo2b4obo2b2o2bob2o8b2o$bo3bo5bobob2ob2o5bo6b2obo7b
3o$o3bo6b2o5bo2bo3b2o15bob2o$bobo14bob2o19bobo$2bo12b2obo22bo2bo$15bob
2o23b2o!

Also in the process, I found a stator reduction to 209P8, although at the cost of reducing the clearance:

Code: Select all

rle

It's been known for a long time now.

[carsoncheng]

p20, found yesterday:

Code: Select all

x = 26, y = 27, rule = B3/S23
5b2o$6bo$4bo$4b5o$8bo$2b4o$2bo2bo6b2o$12b2o3$7bo16b2o$6bob2o14bo$6bob
3o3b2o6bobo$2b2o3b2o2bo2bo2b2o3b2o$bobo6b2o3b3obo$bo14b2obo$2o16bo3$
12b2o$12b2o6bo2bo$20b4o$17bo$17b5o$21bo$19bo$19b2o!

p48 B, mvr

Code: Select all

x = 37, y = 21, rule = B3/S23
3bo$3b3o8b2o6bo$6bo7b2o4b3o$5b2o12bo$19b2o3bo4b2o$12bo10bobo3bobob2o$b
2o10bo10bo6bobo$bobo9b2o15b2obo$3bo8b2o19bob2o$3b3o6bo17b4o2bo$b2o3bo
23bo3b2o$o2b4o17bo6b3o$2obo19b2o8bo$3bob2o15b2o9bobo$3bobo6bo10bo10b2o
$2b2obobo3bobo10bo$6b2o4bo3b2o$17bo12b2o$14b3o4b2o7bo$14bo6b2o8b3o$33b
o!

Reduced by iNoMed:

Code: Select all

x = 25, y = 22, rule = B3/S23
2o$bo$bob2o$2bo3b2o$7bo$12bo4b2o$2o9bobo3bobob2o$o2bob2o5bo6bobo$2b2ob
obo10b2obo$6b2o13bob2o$18b4o2bo$18bo3b2o$12bo6b3o$11b2o8bo$10b2o9bobo$
11bo10b2o$12bo$4b2o$5bo12b2o$2b3o4b2o7bo$2bo6b2o8b3o$21bo!

[yoleo]

Crossposting a p182 honey farm hassler, from a partial by mvr:

Code: Select all

x = 50, y = 55, rule = B3/S23
16bo3bo$11b2ob2obo2b3o$10b2o5bo5bo$9bo2bo2bob2o3b2o24b2o$9bo3b3o3bo28b
o$9bo9bo26bobo$9bo3b3o3bo26b2o$10b2obo2bo2bo$11bo5b2o$11bob2ob2o$12bo
3$15b2o$15b2o4$36b2o$36b2o4$20b3o$20bobo$20bo2bo14b2o$21b2o15b2o2$10b
2o15b2o$10b2o14bo2bo$27bobo$27b3o4$12b2o$12b2o4$33b2o$33b2o3$37bo$32b
2ob2obo$31b2o5bo$30bo2bo2bob2o$2b2o26bo3b3o3bo$bobo26bo9bo$bo28bo3b3o
3bo$2o24b2o3b2obo2bo2bo$26bo5bo5b2o$27b3o2bob2ob2o$29bo3bo!

There's might be a stable catalyst that deals with the leftover junk, instead of using a meatball, but I'm not very optimistic. Original partial had an eater 1 there, but that leaves behind an extra loaf.

[Sokwe]

The short version is "LLSSS search". The medium version is "LLSSS recentering search, period dividing once from p6 -> p3 and then period dividing p3 -> p1 in a second search". The long version including the various funny hacks involved above and beyond `LlsssEndsPd[Lite]` is probably only fit for the amling search program principles brain dump thread... How much are you looking to know / do? Just curious? Want to run your own normal period dividing searches? Want to know the insane details of the extra hacks involved in this particular one?

I didn't even realize LLSSS could search for oscillators. I don't think I'm ready to learn new LLSSS techniques at the moment, so you don't need to explain further.

Here is a reduction to the p3 part found with JLS (it's an old p3 rotor found by Robert Wainwright in 1982):

Code: Select all

x = 22, y = 57, rule = B3/S23
4bo8b2o$4b3o6bo$2b2o3bo3b2o2bo$2bo2b2obobo2b2obo$3b2obobob3o3bo$4bo3bo
bo2b2o2b2o$4bo10bobobo$3b2obobo8bobo$2bo2b2o10bob2o$bobobo4bo8bo$o2bo
2b3obo5b2obo$2o2b2o3bo6b2ob2o$6b3o6bobobo$6bo10bobo$16bo2b2o$19bo$16b
2obo$16b2ob2o$15bobobo$17bobo$16bo2b2o$19bo$16b2obo$16b2ob2o$15bobobo$
17bobo$16bo2b2o$19bo$16b2obo$16b2ob2o$15bobobo$17bobo$16bo2b2o$19bo$
16b2obo$16b2ob2o$15bobobo$17bobo$16bo2b2o$19bo$16b2obo$16b2ob2o$15bobo
bo$17bobo$16bo2b2o$19bo$12bo3b2obo$11bobob3ob2o$11b2o2bo2bo2bo$16bobo
2bo$14bobo2b2o$12bo3bo$12bo4b4o$12bo7bo$18bo2$15b3o!

[carsoncheng]

24-cell p3 found by C_R_116, described as being discovered a few years ago in a WLS search, and posted on discord today; is that new?:

Code: Select all

x = 11, y = 10, rule = B3/S23
o$3o$3bo$2b2o2$4b2ob2o$4bob2obo$5bo2bo$3bobo2bobo$3b2o4b2o!

Also here's a small (76-cell) C4-symmetric p12 HF hassler found by mvr, being a reduced version of an asymmetric variant by Jason Summers in 2004:

Code: Select all

x = 23, y = 23, rule = B3/S23
10bo$3bo4b2o$3b2o5b2o$3b2o4bo9b3o$4bo13b3o$14bo$6b3o4bob2o$6bobo4bo2bo
$5bo2bo5b3o4bo$6b2o11bobo$20bobo$2bo17bo$obo$bobo11b2o$bo4b3o5bo2bo$6b
o2bo4bobo$6b2obo4b3o$8bo$2b3o13bo$b3o9bo4b2o$11b2o5b2o$13b2o4bo$12bo!

Well, there's this:

Code: Select all

rle

Stator reduction (minpop 947 -> 898):

Code: Select all

x = 111, y = 82, rule = B3/S23
29bo15bo$28b2o15b2o$27bob2o13b2obo16b3o13b3o$26b3o2bo11bo2b3o15b3o13b3o$28bob
obo9bobobo17b3o13b3o$29bobobo7bobobo21b3o7b3o$30bo2b3o3b3o2bo22b3o7b3o$31b2ob
o5bob2o23b3o7b3o$32b2o7b2o$32bo9bo2$34bo5bo28b2o5b2o$29b2o2bobo3bobo2b2o19b2o
bo2bo3bo2bob2o$29bo2bobobobobobo2bo19bo4bobobobo4bo$30b3o3bobo3b3o21b5obobob
5o$33bob2ob2obo29b2ob2o$30b2obo2bobo2bob2o21b2o4bobo4b2o$30bo5bobo5bo21bob2o
2bobo2b2obo$31b4obobob4o23bobo2bobo2bobo$28b3o5bobo5b3o17b3o3bobobobo3b3o$25b
obo2bob2o2bobo2b2obo2bobo11bobo2bob2o2bobo2b2obo2bobo$25b2obo2bob2obobob2obo
2bob2o11b2obo2bo4bobo4bo2bob2o$28b2obob3o3b3obob2o17b2obobobo3bobobob2o$28bo
2bo11bo2bo17bo2bo11bo2bo$30bobo9bobo21bobob2o3b2obobo$31bo2b2o3b2o2bo23bo11bo
$32b2ob2ob2ob2o25b4o3b4o$72bobo$32b3o5b3o25b2ob2ob2ob2o$31bobo7bobo4bo13bo4bo
bob2ob2obobo$31bo3bo3bo3bo4b3o9b3o4bo4bobo4bo$27b2o3b4o3b4o8bo7bo8b2obo3bob2o
3b2o$26bobo7bobo11b2o7b2o10bo3bo6bobo$23bobo2bob5o5b5obo4b5o8bob5o5b5obo2bobo
$21b3ob2o2bobo2b2obob2o2bob2o5b5o7b2obo2bob3obo2bobo2b2ob3o$20bo30bo2bo2bo13b
5o14bo$21b3ob2o24bob4o15b3o9b2ob3o$23bob2o25b4o28b2obo$53bo2$32b5o37b5o$31bo
4bo37bo4bo$36bo37bo$31bo3bo39bo3bo$33bo43bo3$51b3o3b3o$27b3o6b2o12bo3bobo3bo
12b2o6b3o$18b2o6bo2bo6bo37bo6bo2bo6b2o$18b2o6bob2o4bobo14b3o3b3o14bobo4b2obo
6b2o$13bo13bo6b2o16b2o3b2o16b2o6bo13bo$13b3o35b2o5b2o35b3o$16bo34b2obobob2o
34bo$15b2o14bo47bo14b2o$30b2o22bobo22b2o$27bobo8b2o12b7o12b2o8bobo$26b2ob2o5b
o2bo31bo2bo5b2ob2o$27bo8b2o13b2ob3ob2o13b2o8bo$b2o33b3o13bo5bo13b3o33b2o$obo
35bo11b2o7b2o11bo35bobo$obob2o33b2o29b2o33b2obobo$bobobo44bo2bobobo2bo44bobob
o$3bo34b2o13bobobo13b2o34bo$2bo2bo12b2o4b2o24b2obo3bob2o24b2o4b2o12bo2bo$2bo
13b2obo4bob2o11bo14bobo14bo11b2obo4bob2o13bo$2bo3bo9b2o8b2o22b2obo3bob2o22b2o
8b2o9bo3bo$2bo3bo9b2obo4bob2o11b3o9bob5obo9b3o11b2obo4bob2o9bo3bo$2bo15b2o4b
2o12b3o10bo2bobo2bo10b3o12b2o4b2o15bo$2bo2bo43b2obo5bo46bo2bo$3bo35b2o9bobobo
bobobo9b2o35bo$bobobo26b2o16bo2bobobob2o16b2o26bobobo$obob2o26b2o5bo11bobobob
o13bo5b2o25bobob2o$obo37bo11bobob2o12bo33bobo$b2o36b2o13bo15b2o33b2o$38b3o12b
2o15b3o$38bo33bo$36b3o33b3o$39b2o29b2o$39b2o29b2o$17b2o6b2o57b2o6b2o$17b2o6b
2o57b2o6b2o!

[JP21]

Also here's a small (76-cell) C4-symmetric p12 HF hassler found by mvr, being a reduced version of an asymmetric variant by Jason Summers in 2004:

Code: Select all

x = 23, y = 23, rule = B3/S23
10bo$3bo4b2o$3b2o5b2o$3b2o4bo9b3o$4bo13b3o$14bo$6b3o4bob2o$6bobo4bo2bo
$5bo2bo5b3o4bo$6b2o11bobo$20bobo$2bo17bo$obo$bobo11b2o$bo4b3o5bo2bo$6b
o2bo4bobo$6b2obo4b3o$8bo$2b3o13bo$b3o9bo4b2o$11b2o5b2o$13b2o4bo$12bo!

That means these p12 honey farm hassler reductions exist:

Code: Select all

x = 48, y = 21, rule = B3/S23
7bo25bo$b2o4bobo17b2o4bobo$o5bobo17bo5bobo$3bo4bo20bo4bo3b2o$b2o10bo
13b2o9b2o6b2o$12bobo31bo$7bo4bobo18bo10bobo$4b2obo3b2o2b2o13b2obo10b2o
$4b2o4bo2bobo14b2o$4bo5bob2obo14bo5b3ob2o$8bo4bob2o23b2o$11bobobo28b3o
$6b2o3bobobo29b3o$5bo3b2o2bob2o11b2o$3b3obo4bo17bob2o4b2o$2bo3b6o14bo
2bo2b2o4b2o$3b2o21bobo$5b7o15bo$5bo2bo2bo$27b2o$27b2o!

[Edit 20 days later] A larger version, using regular stabilizations, for nostalgic purposes:

Code: Select all

x = 26, y = 25, rule = B3/S23
13bo$9b5o$8bo2bo$8bo2bob2o$8b3o$8bo4b2o$7b2obobo8bo2bo$10bobo8bo$20bo
4bo$19bobo2b2o$5b2o7b2ob2obo$5b2o6bo$13bo$6bo5bo7bo$5bobo3bo3bo3b2o$2o
2bo2bo3bo2bo$2obo15b2o$4b2o3bo10bo$9bo4bo5bob2o$7bo2bobob5ob2obo$8b2ob
2o5bo$9bobob4obo$9bobobo3bo$10bobo3bo$11bo4b2o!

[Haycat2009]

Is it possible to combine 84P199 and 74P127 to make 158P25273?

[Haycat2009]

Is this SKOP 1635?

204P1635

Code: Select all

x = 58, y = 52, rule = B3/S23
16b2o$17bo32b2o$17bobo3bo25bobo$18b2o4b2o23bobobo$46b2obo2bobo$45bo2b
obobo2bo$44bobo3bobob2o$34bo10bo3b2obo$33bobo16bob2o$33bob2o15bobo2bo
$29bo2bo2bo5b2o4b2o4bo2b2o$30bobo2bo4bo2bo2bo2bo$30b2o9b2o4b2o4bo2b2o
$30bo4bo16bobo2bo$32bo19bob2o$45bo3b2obo$44bobo3bobob2o$45bo2bobobo2b
o$46b2obo2bobo$6b2o41bobobo$6bobo40bobo$4bobobo41b2o$3bobo2bob2o$2bo2b
obobo2bo$2b2obobo3bobo$5bob2o3bo$2b2obo19bo$o2bobo16bo4bo$2o2bo4b2o4b
2o9b2o$8bo2bo2bo2bo4bo2bobo$2o2bo4b2o4b2o5bo2bo2bo$o2bobo15b2obo$2b2o
bo16bobo$5bob2o3bo10bo$2b2obobo3bobo$2bo2bobobo2bo$3bobo2bob2o$4bobob
o23b2o4b2o$6bobo25bo3bobo$6b2o32bo$40b2o5$29b4o$28b6o$27b8o$26b2o6b2o
$27b8o$28b6o$29b4o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ THUMBSIZE 2 ZOOM 8 GPS 56 HEIGHT 500 ]]

I know that it says that the strict voltality is 0, but there are two cells that oscillate at p1635 ( See gen 525 )

[Chris857]

Is this SKOP 1635?

204P1635

I'm not sure of the exact size for p1635, but looking at https://conwaylife.com/wiki/Oscillator I'm pretty sure a rectifier loop for that period is under 200 cells.

[Period1GliderGun]

Is this SKOP 1635?

204P1635

I'm not sure of the exact size for p1635, but looking at https://conwaylife.com/wiki/Oscillator I'm pretty sure a rectifier loop for that period is under 200 cells.

168 cells, by my reckoning.

[hotcrystal0]

p28 shuttle:

Code: Select all

x = 15, y = 39, rule = B3/S23
5bo$4bo2bo$b2o5bo$o8bo3b2o$o8bo3b2o$bob2ob3o$5b2o2$5b2o$bob2ob3o$o8bo
3b2o$o8bo3b2o$b2o5bo$4bo2bo$5bo4$2bo6bo$2b3o2b3o$3bob2obo2$5b2o2$5bo$
4bo2bo$b2o5bo$o8bo3b2o$o8bo3b2o$bob2ob3o$5b2o2$5b2o$bob2ob3o$o8bo3b2o
$o8bo3b2o$b2o5bo$4bo2bo$5bo!

The hassled object is the active region from the p10 domino fountain.

It’s known in a form that uses P7 pipsquirters, but I forgot the post where it came from.

[carsoncheng]

Reduction to the p60 B-heptomino hassler by mvr:

Code: Select all

x = 39, y = 13, rule = B3/S23
36b3o$35b3o$29b3o$6bo24bo$5bobo21bobo$6bo22b2o4b3o$3o33b3o$b3o4b2o22bo
$7bobo21bobo$7bo24bo$7b3o$b3o$3o!

p20 LOM hassler by me:

Code: Select all

x = 29, y = 26, rule = B3/S23
27b2o$11bo7bo7bo$11b2o4b3o4b2obo$11b2o3bo9bo$12bo3b2o$22bobo$23bo$22bo$14b2o
6b4o$11b2ob2o10bo$13bo8b2ob2o$23bobo$4bo18bobo$3bobo18bo$3bobo$2b2ob2o8bo$2bo
10b2ob2o$3b4o6b2o$6bo$5bo$4bobo$11b2o3bo$2bo9bo3b2o$bob2o4b3o4b2o$bo7bo7bo$2o!

[iNoMed]

Reduction/monomer of the p20 by Sokwe based on a partial by me:

Code: Select all

x = 19, y = 22, rule = B3/S23
17b2o$b2o6bo7bo$o6b3o5bobo$3bo2bo8b2o$b2o3b2o$13bo$12b2o$12bo$3b3o6b4o
$2bo2bo10bo$2b3o7b2ob2o$13bobo$13bobo$8b2o4bo$4b2obobo$5bobobob2o$10bo
bo$4bobobobo$2b3obo3bo$bo5b3o$2b4obo$4bobo!

[Dean Hickerson]

24-cell p3 found by C_R_116, described as being discovered a few years ago in a WLS search, and posted on discord today; is that new?:

Code: Select all

x = 11, y = 10, rule = B3/S23
o$3o$3bo$2b2o2$4b2ob2o$4bob2obo$5bo2bo$3bobo2bobo$3b2o4b2o!

With a slightly smaller stator, it was found by Nicolay Beluchenko about 2013. It's in Matthias Merzenich's osc-supplement: https://github.com/Matthias-Merzenich/o ... /o0003.rle.

[C28]

P54 U-turner shuttle partial

Code: Select all

x = 13, y = 10, rule = B3/S23
7bo$2o6b2o$3bobo6bo$2b2o3bo2bo$2b2ob3ob2o$2bobo2bob2o$2b2obobob2o$3bo
5bo2bo$4b5o$5b2o!

edit: a reduction to the p27 century hassler

Code: Select all

x = 62, y = 28, rule = B3/S23
29b2o$29b2o2$3bo$2bobo$2bobo10bo3b2o$2o2b2o8bobobobo$bobo6b2o2bobobo39b
o$o2b4o3bobobobob2o7b2o28bobo$obo4bo3b2obo2bo3bo3bo2bo12b2o3bo10bobo$
bob3obo6bo3bo6b3o13bobobobo8b2o2b2o$3bob2o6bo4bo3bo3bo16bobobo2b2o6bo
bo$3bob2o6bo4bo3bo19b2obobobobo3b4o2bo$bob3obo6bo3bo21bo3bo2bob2o3bo4b
obo$obo4bo3b2obo2bo3bo21bo3bo6bob3obo$o2b4o3bobobobob2o19bo3bo4bo6b2o
bo$bobo6b2o2bobobo16bo3bo3bo4bo6b2obo$2o2b2o8bobobobo13b3o6bo3bo6bob3o
bo$2bobo10bo3b2o12bo2bo3bo3bo2bob2o3bo4bobo$2bobo28b2o7b2obobobobo3b4o
2bo$3bo39bobobo2b2o6bobo$41bobobobo8b2o2b2o$41b2o3bo10bobo$57bobo$58b
o2$31b2o$31b2o!

[Period1GliderGun]

p36 glider/pi hassler based on the new catalyst:

Code: Select all

x = 18, y = 24, rule = B3/S23
2b2o$o2bo3$2obo$2bobo2b2o7bo$3bo4bo5b3o$4bo8bo$4bo2bo5b2o$10bo$8b3o2$
16b2o$16b2o2$5b2o$5bo2bob2o$6b3obo$10bo$6b3ob3o$5bo2b2o3bo$5b2o4b2o$7b
4o$7bo2bo!

[squareroot12621]

p36 glider/pi hassler based on the new catalyst:

Code: Select all

x = 18, y = 24, rule = B3/S23
2b2o$o2bo3$2obo$2bobo2b2o7bo$3bo4bo5b3o$4bo8bo$4bo2bo5b2o$10bo$8b3o2$
16b2o$16b2o2$5b2o$5bo2bob2o$6b3obo$10bo$6b3ob3o$5bo2b2o3bo$5b2o4b2o$7b
4o$7bo2bo!

Reduced:

Code: Select all

x = 16, y = 19, rule = B3/S23
4bo9bo$2b2obo6b3o$bo9bo$obo2bo5b2o$o2bo4bo$b2o3b3o2$14b2o$14b2o2$3b2o
$3bo2bob2o$4b3obo$8bo$4b3ob3o$3bo2b2o3bo$3b2o4b2o$5b4o$5bo2bo!

[carsoncheng]

P21 I-heptomino hassler:

Code: Select all

x = 28, y = 22, rule = B3/S23
12b2o$12bo$5b2o6bo$6bo5b2o9bo$6bobo10bob2obob2o$7b2o9bobo3bob2o$19bo4b
o$10b3o10b2o$11b2o$8bo2b2o$9b2o$17b2o$15b2o2bo$15b2o$3b2o10b3o$3bo4bo
$2obo3bobo9b2o$2obob2obo10bobo$4bo9b2o5bo$14bo6b2o$15bo$14b2o!

[C28]

p280 U-turner hassler

Code: Select all

x = 53, y = 53, rule = B3/S23
16bo$11b2o3b2o$11b2o3b2o$16bo$14bo2bo$14bob3o$13b2o3bo$12bo3b2o$12b3o
bo$13bo2bo13bo$14bo14bobo$13b2o3b2o10bo19b2o$13b2o3b2o24b2o4b2o$14bo25b
2ob2obo$39b4obob3o2$43b3obob4o$45bob2ob2o$40b2o4b2o$40b2o2$10bo$9bobo
$10bo3$35b3o$35b3o$34bobo$34b2o6bo$41bobo$42bo2$11b2o$5b2o4b2o$b2ob2o
bo$4obob3o2$4b3obob4o$6bob2ob2o25bo$b2o4b2o24b2o3b2o$b2o19bo10b2o3b2o
$21bobo14bo$22bo13bo2bo$36bob3o$35b2o3bo$34bo3b2o$34b3obo$35bo2bo$36b
o$35b2o3b2o$35b2o3b2o$36bo!

minimum population is 160 cells

edit: add another U-turner to get p140

Code: Select all

x = 53, y = 53, rule = B3/S23
16bo$11b2o3b2o$11b2o3b2o$16bo$14bo2bo$14bob3o$13b2o3bo$12bo3b2o$12b3o
bo$13bo2bo13bo$14bo14bobo$13b2o3b2o10bo19b2o$13b2o3b2o24b2o4b2o$14bo25b
2ob2obo$39b4obob3o2$43b3obob4o$45bob2ob2o$40b2o4b2o$40b2o2$10bo$9bobo
$10bo6b2o$16bobo$15b3o$15b3o17b3o$35b3o$34bobo$34b2o6bo$41bobo$42bo2$
11b2o$5b2o4b2o$b2ob2obo$4obob3o2$4b3obob4o$6bob2ob2o25bo$b2o4b2o24b2o
3b2o$b2o19bo10b2o3b2o$21bobo14bo$22bo13bo2bo$36bob3o$35b2o3bo$34bo3b2o
$34b3obo$35bo2bo$36bo$35b2o3b2o$35b2o3b2o$36bo!

[C_R_116]

Possibly known reaction:

Code: Select all

x = 60, y = 25, rule = B3/S23
8bo4bo19b2o$6b2ob4ob2o17bo$8bo4bo17bobo$27b2o2b2o$27b2o9b2o$2o36bo$obo
33bobo$bo31bob3o$32b4o12b2o$8b2ob2o18bo2b2o12b2o$9b3o$10bo19b2o$30b2o$
30b2o17bo$48b3o$10b2o35b2ob2o$10b2o$22b2o34bo$21bobo33bobo$21bo36b2o$
20b2o9b2o$27b2o2b2o$26bobo17bo4bo$26bo17b2ob4ob2o$25b2o19bo4bo!

[JP21]

It's very close, but not close enough.

Code: Select all

x = 42, y = 24, rule = B3/S23
23bo5bo$22bobo4bo$12bo12b2ob2obob2o$12bo6b2o9b2o3bo$7b2obob2o2bob2o2b
2obo4b2o$6bo3b2o9b2o6bo4bo2bo$10b2o3b2o12b2o4b2o$4bo2bo4bo4bobo9bo7b2o
$5b2o4b2o5bo19bo$3b2o7bo21b3ob2o$3bo30b2o4b2o$2b2ob3o25b2obobo$2o4b2o
28bobobo$3bobob2o$bobobo22bobo7bo$23bo4bo2bo6bo$3bo7bobo9bobo5bo3b3o$
3bo6bo2bo5bo3bo11bo$4b3o3bo7bobo2b4ob2ob3o$6bo9bo8bo2b3o2bo$8b3ob2ob4o
2bobo4b3o$8bo2b3o4bo3bo$11b3o2bobo$18bo!

(almost strictly volatile p4 by me)

[iNoMed]

p280 U-turner hassler

Code: Select all

snip

minimum population is 160 cells

edit: add another U-turner to get p140

Code: Select all

snip

Reduction of the p280 to 86 cells by using p8s instead of p7s (Preventing any reductions to the p140 in this manner):

Code: Select all

x = 40, y = 42, rule = B3/S23
13bo$12bobo$11bo3bo$10bo3bo8bo$9bo3bo8bobo$8bo3bo10bo$9bobo$10bo2$33b
3o$32bo$32bo3bo$32bo2bobo$34bobo2bo$35bo3bo$3bo35bo$2bobo31b3o$3bo6$
35bo$23bo10bobo$2o20bo12bo$2obo17bobo$4bo16bo$bo19b3o$2bob2o$4b2o2$28b
2o2$27bo3bo$15bo10bo4bo$14bobo8bobobo$15bo8bobobo$22bo4bo$22bo3bo2$24b
2o!