Oscillator Discussion Thread

[WhiteHawk]

p48 pi-heptomino hassler:

Code: Select all

Reduced

Code: Select all

x = 56, y = 49, rule = B3/S23
32bo2$30bob3o$32b2obo$32bob2o$33b3obo2$20bo14bo$20b3o$23bo6bo4bo$22b2o
5bobo$30bo3b2o3b2o$33b2o4b2o2$25bo$9bo14bobo$7b3o13bo3bo$6bo5bo10bo3b
o$5bob6o10b2ob2o$5bobo$4b2o3bob2o30bo$6bo4b2o28b3o$6bo2b2o29bo$7b2o31b
2o$2b2o25bo$3bo26bo$3bobo23bo$4b2o$15bo2bo$15bo2bo30b2o$14bo3bo16bobo
13bo$2b2o11b3o7b2o8bo8bo3bo$2b2o11b3o7bo2bo5bo7b2obo2bo3bo$26b2obo4b2o
3bo2b2obo2bo3b4o$3bo19b3o2bo5b2o4bobo7bo$2bobo17bo3b2o6b4o2bo2bobo$bo
2bo18b2o16bobobo$o2bo3bo6bo3b2o4bob2o7bob2obo$7bobo2b2o4bo5bo2bo11bo$
o2bo2bobo5b2o3b3o3b2o$2b2o4bo4bo7bo3$34b2o$34b2obo$38bo$35bo$36bob2o$
38b2o!

[FlutterWithKSparkler]

This functionally stable p8 rectifier variant might be easier to construct than the stable one:

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x = 34, y = 44, rule = B3/S23
21bo$bo17b3o$2bo15bo$3o15b2o6$28bo$b2o23b3o$o2bo21bo$b2o22b2o8$15b2o$
15b2o9$23b2o$22bo2bo$22bobo3b2o$23bo3bo2bo2$22bo8bo$19bo3bo4bo2bo$18bo
4bo5b2ob2o$18bo3bo8b3o$17bob2o11bo$12b2o2b3o$12b2o3b2o$32b2o$32b2o!

Dimerizing this eater-3-like loaf-flipping reaction gives some oscillators at periods 24 and 16:
xp24_cccosy9govnzy01261w66y0234zy2ssw2596w33zw8ci332y0666cuwgzwccy913x33,
xp16_cccosy9govnzy01261w66y0234zy2ccx756w33zxoci2ay066wegi8zwccya11w33,
xp16_ccw88oy9j3zy11432066y02c523zy2ccx756w33zxoci2ay066wegi8zwccya11w33,
xp16_ccw88oy9j3zy11432066y02c523zy2ccw2596w33zxs4a34y06604ci8zwccy9111w33.
These hasslers are reminiscent of sailboat and could have well been known for several decades, especially the first one that might even predate the non-trivial 186P24 in 1994. Anyone confirming their former discovery or current novelty is appreciated.

Code: Select all

x = 184, y = 40, rule = B3/S23
5bobobo3bo3bo67bobo5bobobo27bobo5bobobo27bobo5bobobo2$9bo3bo3bo69bo5bo
33bo5bo33bo5bo2$5bobobo3bobobo31bobobo33bo5bobobo29bo5bobobo29bo5bobob
o2$5bo11bo69bo5bo3bo29bo5bo3bo29bo5bo3bo2$5bobobo7bo67bobobo3bobobo27b
obobo3bobobo27bobobo3bobobo8$2b2o38b2o38b2o38b2o38b2o$2b2o38b2o38b2o
38b2o38b2o$22b2o38b2o38b2o38b2o38b2o$17b3o2b2o33b3o2b2o33b3o2b2o33b3o
2b2o33b3o2b2o$3bo13bo25bo13bo25bo13bo25bo13bo25bo13bo$3bobo10bobo24bob
o10bobo24bobo10bobo24bobo10bobo24bobo10bobo$3b2o2bo4b2ob2o26b2o2bo4b2o
b2o26b2o2bo4b2ob2o26b2o2bo4b2ob2o26b2o2bo4b2ob2o$5b2o5b2o3bo27b2o5b2o
3bo27b2o5b2o3bo27b2o5b2o3bo27b2o5b2o3bo$6bo39bo39bo39bo39bo2$6b2o3b2o
33b2o3b2o33b2o3b2o33b2o3b2o33b2o3b2o$6b2o2bo2bo32b2o2bo2bo32b2o2bo2bo
32b2o2bo2bo32b2o2bo2bo$10bobo3b2o32bobo3b2o32bobo3b2o32bobo3b2o32bobo
3b2o$11bo4b2o33bo4b2o33bo4b2o33bo4b2o33bo4b2o2$177bo$10b2o5bo28bo3b2o
6bo26b2o3b2o5bo27bobo2b2o4b3o27bo3b2o5b2o$5b3o2b2o5bobo25b2o3b2o4b2o
27b3o2b2o4b3o28bo2b2o7bo27b2ob2o4bo2b2o$5bo11b2o2bo22bo2bo9bo25b2obo9b
2ob2o23bo2bo8bo2b2o24bobo10bobo$4bobo12b2o22b2o13b4o19bo3bo12bo2bo23b
2o11bobo25bo13bo$2ob2o15bo19b5o14b2o19bo4bo12bo21b2o2b2o34b2o2b3o$2o3b
o34b3obo15b2o18bo3bo35b2o38b2o$20b2o38b2o19bo17bo2bo37b2o38b2o$20b2o
38b2o38b2o38b2o38b2o!

Unknown-to-catagolue glider syntheses for them may benefit from some clever divide-and-conquer algorithm for optimal construction of initial constellation.

Code: Select all

x = 308, y = 33, rule = B3/S23
120bo79bo39bo39bo$118bobo77bobo37bobo37bobo$119b2o25bo52b2o25bo12b2o
25bo12b2o25bo$87bobo55bo79bo39bo39bo$87b2o49bo6b3o70bo6b3o30bo6b3o30bo
6b3o$88bo48bo79bo39bo39bo$56bo80b3o77b3o37b3o37b3o$57bo68b2o78b2o38b2o
38b2o$55b3o64bo2bobo74bo2bobo34bo2bobo34bo2bobo$bo97bo20bobo3bo12bo60b
obo3bo12bo20bobo3bo12bo20bobo3bo12bo$2bo9b2o38b2o29b2o7b2o4bobo20b2o9b
2o4bobo60b2o9b2o4bobo20b2o9b2o4bobo20b2o9b2o4bobo$3o9b2o38b2o9b2o17bob
o7b2o5b2o31b2o5b2o71b2o5b2o31b2o5b2o31b2o5b2o$62b2o20bo$19bo44bo$11b2o
5bo27b2o3b2o33b2o3b2o33b2o3b2o73b2o3b2o33b2o3b2o33b2o3b2o$10bo2bo4b3o
25b2o2bo2bo32b2o2bo2bo32b2o2bo2bo72b2o2bo2bo32b2o2bo2bo32b2o2bo2bo$3b
3o4bobo37bobo3b2o32bobo3b2o32bobo3b2o72bobo3b2o32bobo3b2o32bobo3b2o$5b
o5bo39bo4b2o33bo4b2o33bo4b2o73bo4b2o33bo4b2o33bo4b2o$4bo34bo$40b2o57bo
$10b2o9b3o15b2o9b2o31b2o5b2o7bobo21b2o5b2o71b2o5b2o31b2o5b2o31b2o5b2o$
10b2o9bo28b2o31bobo4b2o7b2o22bobo4b2o71bobo4b2o31bobo4b2o10bo20bobo4b
2o9b2o$22bo61bo39bo12bo4b2o60bo12bo3b3o20bo12bo3b2o21bo12bo3bobo$46b3o
87bobo3bobo71bobo2bo34bobo2bobo32bobo2bo$46bo89b2o4bo73b2o4bo33b2o38b
2o$47bo156b2o38b2o38b3o$95bo27b3o77bobo39b2o39bo$95b2o28bo70b2o7bo30b
2o6bo31b3o6bo$94bobo18b3o6bo70bobo39b2o39bo$117bo79bo38bo27bo12bo25b2o
$116bo27b2o77b3o37b2o38bobo$144bobo76bo39bobo37bo$144bo79bo!

[hotdogPi]

especially the first one that might even predate the non-trivial 186P24 in 1994

Coe's p8 wasn't discovered until 1997.

Edit: It works with 34P20. I'm trying to find hybrid versions with various oscillators, but nothing seems to work.

Code: Select all

x = 35, y = 35, rule = B3/S23
14bo$12b2obo$11bobobobo$14b2ob2o$9bo6bo$8bo6bo$8b2o5b2o$7bo2bo5b2o$8b
3ob2o2bo2b2o6bo$11bob3o3b2o5bob2o$9b2o3bo9bobobobo$10bo12b2ob2o$15b2o
8bo6bo$4bo2bo7b2o9bo6bo$7bo17b2o5b2o$2bo5bo15b2o5bo2bo$8bo7bo4b2o2bo2b
2ob3o$15bobo3b2o3b3obo$o6bo2b2o3bo2bo8bo3b2o$bo4bobo3b2o2b2o13bo$2b3o
2bo17b2o$3o15bo2bo3b2o$4o2bo6bo4bo$o3bobo10bo5bo$4b3o4bo5bo$4b2obo$3b
3o2bo5b2o2bo6bo$12b2o3bobo4bo$18bo2b3o$23b3o$12bo6bo2b4o$19bobo3bo$14b
o4b3o$18bob2o$17bo2b3o!

[iNoMed]

The p16 variant of the newly-discovered loaf-flipping mechanism can also be achieved with an eater 3 instead of a second set of Coe's P8s, reducing the minimum population by ten cells to 65 cells:

Code: Select all

x = 22, y = 22, rule = B3/S23
16bo3b2o$17b2ob2o$15bobo$16bo$10b2o2b3o$10b2o3$9b2o$8bo2bo2b2o$4b2o2bo
bo4bo2bo$4b2o3bo5bobobo$12b2obo2bo$12bo2bo$4bo4bo4bo$2bobo4b5o$o2b2o$b
2o8bo$bo8bobo$11bo$2o$2o!

[hotcrystal0]

Hmm, you can coax a p29-generated pre-TL through a still-life and out the other end. Here are two large p29 oscillators playing a game of flip-flop with a loaf:

Code: Select all

x = 127, y = 98, rule = B3/S23
79b2o3b2o19b2o3b2o$78bo2bobo2bo17bo2bobo2bo$74b2o3b2o3b2o3b2o9b2o3b2o
3b2o3b2o$74bo15bo9bo15bo$71b2obo15bob2o3b2obo15bob2o$69bo2bob2o13b2obo
5bob2o13b2obo2bo$69b2obo5b3o3b3o5bo2bo2bo5b3o3b3o5bob2o$72bo5bobo3bobo
5bobobobo5bobo3bobo5bo$72b2o4b3o3b3o4b2obobob2o4b3o3b3o4b2o$95bo3$91bo
7bo$90bobo5bobo$91bo7bo$78bo33bo$77bobo31bobo$78bo33bo$86bo4b2o5b2o4bo
$85bobo3b3o3b3o3bobo$86bo4b2o5b2o4bo$76b2o2b2o27b2o2b2o$76bo2bobo27bob
o2bo$20b2o3b2o19b2o3b2o25b2o31b2o$19bo2bobo2bo17bo2bobo2bo25bo31bo$15b
2o3b2o3b2o3b2o9b2o3b2o3b2o3b2o21bobo27bobo$15bo15bo9bo15bo22b2o27b2o$
12b2obo15bob2o3b2obo15bob2o25bo4b2o5b2o4bo$10bo2bob2o13b2obo5bob2o13b
2obo2bo22bobo3b3o3b3o3bobo$10b2obo19bo2bo2bo19bob2o23bo4b2o5b2o4bo$13b
o19bobobobo19bo$13b2o5bo5bo5b2obobob2o5bo5bo5b2o$19bobo3bobo8bo8bobo3b
obo60bo$18bo3bobo3bo15bo3bobo3bo16b2o3b2o35bobob2o2b2o$19bobo3bobo17bo
bo3bobo17b2o2bo2bo33bo2bobo2bobo$20bo5bo5bo7bo5bo5bo15bo6b3o35b3o2bobo
$31bobo5bobo26b7o5b2o4bo4b2o5b2o4bo4b2o5b3ob2o$32bo7bo34bo3b3o3bobo3b
3o3b3o3bobo3b3o3bo5bo3b2o$19bo33bo16b6o4b2o4bo4b2o5b2o4bo4b2o4b6o3bobo
$18bobo31bobo9b2o3bo6b2o35b2o6b4o$19bo33bo10bo4bo2b4o2bo33bo2b6o4bo$
26b3o2bo9bo2b3o18b3obobo4b2o35b2o5bob3o$25bo2bo3bo7bo3bo2bo19bobobo2b
2o38bo2bo3b2o$8b2o16b3o2bo9bo2b3o21bo2bobobob3o34bobobo$4b2obobo7b2o2b
2o27b2o2b2o15bobobobo2bo30b2obo2bo$3bobobo9bo2bobo27bobo2bo13bobob2o3b
2o6bo4b2o5b2o4bo6bob2o9b2o$3bo3b2o10b2o31b2o15b2obo12bobo3b3o3b3o3bobo
14b2obobo$b2o2bo14bo31bo12bo6bo13bo4b2o5b2o4bo15b2obo$o2b6o3b2ob2o3bob
o27bobo3b2ob2o3bobo5bob2o4b2o27b2o13bo$2o6bo4bob2o4b2o27b2o4b2obo4bo2b
o3b2ob2o3bobo27bobo6b3ob2obo$5b3o5bo12b3o2bo9bo2b3o12bo5b2o12bo31bo5bo
3b2o2bo$5bo4b2obo11bo2bo3bo7bo3bo2bo11bob2o15b2o31b2o5b2o4bo$2b2obo4bo
bob2o3b2o5b3o2bo9bo2b3o5b2o3b2obobo13bo2bobo27bobo2bo4bob3o$2b2ob2o5bo
bobobo2bo29bo2bobobobo15b2o2b2o27b2o2b2o4bobo$9bo2bobobob3o31b3obobobo
2bo22bo4b2o5b2o4bo15bo$8bobo2b3o41b3o2bobo20bobo3b3o3b3o3bobo$6b3obobo
4b2o35b2o4bobob3o19bo4b2o5b2o4bo$5bo4bo2b4o2bo33bo2b4o2bo4bo10bo33bo$
5b2o3bo6b2o35b2o6bo3b2o9bobo31bobo$11b6o9b3o2bo9bo2b3o9b6o16bo33bo$16b
o8bo2bo3bo7bo3bo2bo8bo34bo7bo$9b7o10b3o2bo9bo2b3o10b7o26bobo5bobo$9bo
6b3o35b3o6bo27bo7bo$12b2o2bo2bo33bo2bo2b2o$12b2o3b2o35b2o3b2o$95bo$72b
2o4b3o3b3o4b2obobob2o4b3o3b3o4b2o$72bo5bobo3bobo5bobobobo5bobo3bobo5bo
$26b3o2bo9bo2b3o22b2obo5b3o3b3o5bo2bo2bo5b3o3b3o5bob2o$25bo2bo3bo7bo3b
o2bo21bo2bob2o13b2obo5bob2o13b2obo2bo$26b3o2bo9bo2b3o24b2obo15bob2o3b
2obo15bob2o$21b2o27b2o22bo15bo9bo15bo$20bobo27bobo21b2o3b2o3b2o3b2o9b
2o3b2o3b2o3b2o$20bo31bo25bo2bobo2bo17bo2bobo2bo$19b2o31b2o25b2o3b2o19b
2o3b2o$17bo2bobo27bobo2bo$17b2o2b2o27b2o2b2o$26b3o2bo9bo2b3o$25bo2bo3b
o7bo3bo2bo$26b3o2bo9bo2b3o$19bo33bo$18bobo31bobo$19bo33bo$32bo7bo$31bo
bo5bobo$20bo5bo5bo7bo5bo5bo$19bobo3bobo17bobo3bobo$18bo3bobo3bo15bo3bo
bo3bo$19bobo3bobo8bo8bobo3bobo$13b2o5bo5bo5b2obobob2o5bo5bo5b2o$13bo
19bobobobo19bo$10b2obo19bo2bo2bo19bob2o$10bo2bob2o13b2obo5bob2o13b2obo
2bo$12b2obo15bob2o3b2obo15bob2o$15bo15bo9bo15bo$15b2o3b2o3b2o3b2o9b2o
3b2o3b2o3b2o$19bo2bobo2bo17bo2bobo2bo$20b2o3b2o19b2o3b2o!

And it's conceivable that it might be possible to coax a glider out of one of these drifter signals.

You can attach the pipsquirter-producing catalyst to this, producing a P29 true pipsquirter that’s probably impractical for most uses:

Code: Select all

x = 75, y = 75, rule = B3/S23
20b2o3b2o19b2o3b2o$19bo2bobo2bo17bo2bobo2bo$15b2o3b2o3b2o3b2o9b2o3b2o
3b2o3b2o$15bo15bo9bo15bo$12b2obo15bob2o3b2obo15bob2o$10bo2bob2o13b2ob
o5bob2o13b2obo2bo$10b2obo19bo2bo2bo19bob2o$13bo5b3o3b3o5bobobobo5b3o3b
3o5bo$13b2o17b2obobob2o17b2o$17bo4bobo4bo6bo6bo4bobo4bo$17bo4bobo4bo13b
o4bobo4bo$17bo4bobo4bo13bo4bobo4bo$32bo7bo$19b3o3b3o3bobo5bobo3b3o3b3o
$32bo7bo$19bo33bo$18bobo6bo17bo6bobo$19bo6b3o15b3o6bo$25b2ob2o13b2ob2o
$24b3ob3o11b3ob3o10b2o2b2o7b2o$8b2o15b2ob2o13b2ob2o7b2o3bo2bo5b2o2bo$
4b2obobo7b2o2b2o3b3o15b3o3b2o4bo2bo4bo3bo2b2o$3bobobo9bo2bobo4bo17bo4b
obobo4b2o2b2o2bobobo$3bo3b2o10b2o31bob5o3bo2b3obobobo$b2o2bo14bo31bo7b
2obo4b2ob2obo$o2b6o3b2ob2o3bobo4bo17bo4bobo3bob2obobob2o3bo3bo$2o6bo4b
ob2o4b2o3b3o15b3o3b2o4b2obo4bo2b2obob2o$5b3o5bo11b2ob2o13b2ob2o11bo5b
o3bobo$5bo3b3obo10b3ob3o11b3ob3o10bob3o2b2obobo$2b2obo3bo2bob2o3b2o4b
2ob2o13b2ob2o4b2o3b2obo2bo3bob2o$2b2ob2o3bobobobobo2bo4b3o15b3o4bo2bo
bobobobo4bo$10bobobobob3o6bo17bo6b3obobobobo3b2o$8bobobo2b2o39b2o2bob
obo$6b3obobo4b2o35b2o4bobob4o$5bo4bo2b4o2bo7bo17bo7bo2b4o2bo4bo$5b2o3b
o6b2o7b3o15b3o7b2o6bo3bo$11b6o8b2ob2o13b2ob2o8b6o4b2o$16bo7b3ob3o11b3o
b3o7bo$9b7o9b2ob2o13b2ob2o9b7o$9bo6b3o7b3o15b3o7b3o6bo$12b2o2bo2bo7bo
17bo7bo2bo2b2o$12b2o3b2o35b2o3b2o2$27bo17bo$26b3o15b3o$25b2ob2o13b2ob
2o$24b3ob3o11b3ob3o$25b2ob2o13b2ob2o$21b2o3b3o15b3o3b2o$20bobo4bo17bo
4bobo$20bo31bo$19b2o31b2o$17bo2bobo4bo17bo4bobo2bo$17b2o2b2o3b3o15b3o
3b2o2b2o$25b2ob2o13b2ob2o$24b3ob3o11b3ob3o$25b2ob2o13b2ob2o$19bo6b3o15b
3o6bo$18bobo6bo17bo6bobo$19bo33bo$32bo7bo$19b3o3b3o3bobo5bobo3b3o3b3o
$32bo7bo$17bo4bobo4bo13bo4bobo4bo$17bo4bobo4bo13bo4bobo4bo$17bo4bobo4b
o6bo6bo4bobo4bo$13b2o17b2obobob2o17b2o$13bo5b3o3b3o5bobobobo5b3o3b3o5b
o$10b2obo19bo2bo2bo19bob2o$10bo2bob2o13b2obo5bob2o13b2obo2bo$12b2obo15b
ob2o3b2obo15bob2o$15bo15bo9bo15bo$15b2o3b2o3b2o3b2o9b2o3b2o3b2o3b2o$19b
o2bobo2bo17bo2bobo2bo$20b2o3b2o19b2o3b2o!

[WhiteHawk]

You can attach the pipsquirter-producing catalyst to this, producing a P29 true pipsquirter that’s probably impractical for most uses:

Code: Select all

Improved clearance and reduced population

Code: Select all

x = 58, y = 55, rule = B3/S23
10b2o15b2o$9bobo15bobo$9bo5bo7bo5bo$7b2obo3bobo5bobo3bob2o$3b2obo2bo5b
o7bo5bo2bob2o$4bob2o23b2obo$4bo5bo17bo5bo$3b2o4b3o15b3o4b2o$8b2ob2o13b
2ob2o$7b3ob3o11b3ob3o10b2o2b2o7b2o$8b2ob2o13b2ob2o7b2o3bo2bo5b2o2bo$2o
2b2o3b3o15b3o3b2o4bo2bo4bo3bo2b2o$o2bobo4bo17bo4bobobo4b2o2b2o2bobobo
$2b2o31bob5o3bo2b3obobobo$3bo31bo7b2obo4b2ob2obo$3bobo4bo17bo4bobo3bo
b2obobob2o3bo3bo$4b2o3b3o15b3o3b2o4b2obo4bo2b2obob2o$8b2ob2o13b2ob2o11b
o5bo3bobo$7b3ob3o11b3ob3o10bob3o2b2obobo$8b2ob2o13b2ob2o4b2o3b2obo2bo
3bob2o$9b3o15b3o4bo2bobobobobo4bo$10bo17bo6b3obobobobo3b2o$2b2o35b2o2b
obobo$3bo33b2o4bobob4o$3bobo4bo17bo7bo2b4o2bo4bo$4b2o3b3o15b3o7b2o6bo
3bo$8b2ob2o13b2ob2o8b6o4b2o$7b3ob3o11b3ob3o7bo$8b2ob2o13b2ob2o9b7o$9b
3o15b3o7b3o6bo$10bo17bo7bo2bo2b2o$37b2o3b2o2$10bo17bo$9b3o15b3o$8b2ob
2o13b2ob2o$7b3ob3o11b3ob3o$8b2ob2o13b2ob2o$4b2o3b3o15b3o3b2o$3bobo4bo
17bo4bobo$3bo31bo$2b2o31b2o$o2bobo4bo17bo4bobo2bo$2o2b2o3b3o15b3o3b2o
2b2o$8b2ob2o13b2ob2o$7b3ob3o11b3ob3o$8b2ob2o13b2ob2o$3b2o4b3o15b3o4b2o
$4bo5bo17bo5bo$4bob2o23b2obo$3b2obo2bo5bo7bo5bo2bob2o$7b2obo3bobo5bob
o3bob2o$9bo5bo7bo5bo$9bobo15bobo$10b2o15b2o!

[hotcrystal0]

P13 billiard table by Sylvie on the Discord:

Code: Select all

x = 12, y = 14, rule = B3/S23
5bo$4bobo$4bobo$3b2ob3o$3bo5bo$2obob2obo2bo$obobobobob2o$2bobobobobo$
2bo2bob2obo$b2ob2o3bo$3bo3b2o$3bobobo$4b2o2bo$7b2o! 

[LWSSONHWSSONLWSS]

2-cell reduction

Code: Select all

 x = 12, y = 14, rule = B3/S23
5bo$4bobo$4bobo$3b2ob2o$3bo4bo$2obob2obo$obobobobob2o$2bobobobobo$2bo
2bob2obo$b2ob2o3bo$3bo3b2o$3bobobo$4b2o2bo$7b2o!

[C_R_116]

p48 pi-heptomino hassler:

Code: Select all

x = 37, y = 32, rule = B3/S23
14b2o$14bo2b2o$11b2obo3bo$10bo2bob3o$8bo2bobobo13bobo$8b2obobo10b2o2bo
b2o2bo$11bob2o9bo3bo3b3o$8b2obo13b3ob2o$8bo2bob2o12bobob2o$10b2ob2o14b
obobo$17bo11bo3bo$16bobo9b2o2b2ob2o$15bo3bo13bobo$5b3o7bo3bo11bobo2bo$
5bob2o6b2ob2o11b2o2b2o$5b2o2bo$bo3b6o$obo2b2o2bo$b2o3b3o$29bo3b2o$b2o
3b3o18b2obo$obo2b2o2bo17b3o$bo3b6o15bo6bo$5b2o2bo15bo2bobobobo$5bob2o
17b3obob2o$5b3o$26b3obob2o$25bo2bobobobo$26bo6bo$27b3o$27b2obo$29bo3b
2o!

[Sokwe]

P13 billiard table by Sylvie on the Discord:

Code: Select all

x = 12, y = 14, rule = B3/S23
5bo$4bobo$4bobo$3b2ob3o$3bo5bo$2obob2obo2bo$obobobobob2o$2bobobobobo$
2bo2bob2obo$b2ob2o3bo$3bo3b2o$3bobobo$4b2o2bo$7b2o! 

This is a larger stator variant of Dean Hickerson's 35-cell p13 oscillator, originally found in 1997 with dr. You can check whether a billiard table rotor is known by following the instructions in this post.

[C_R_116]

P135 Pi-heptomino hassler:

Code: Select all

x = 60, y = 43, rule = B3/S23
18b2o$18bo2b2o$15b2obo3bo6b2o$14bo2bob3o7b2o$12bo2bobobo$12b2obobo11b
4o$15bob2o9bo3bo$12b2obo12b2o$12bo2bob2o$14b2ob2o$21bo$20bobo$19bo3bo$
19bo3bo$19b2ob2o3$48b2o$bo2bob2obo2bo35b2o$2o2bo4bo2b2o$bo2bob2obo2bo$
23b3o$18bo6bo$17bo3b2o3bobo$18bo3bob2obobo18b3o$21b2o2bobo2bo14bobobo$
23b2o3b2o15b5o8bo$45b4o8bobo$46bo11b2o$20bo$19b3o$35bo7bo2bob2obo2bo$
34b3o5b2o2bo4bo2b2o$19b3o11b5o5bo2bob2obo2bo2$19bobo$19bobo2$19b3o2$
33b5o$19b3o12b3o$20bo14bo!

[Period1GliderGun]

p132 B shuttle:

Code: Select all

x = 37, y = 35, rule = B3/S23
16b2ob2o$16bo3bo$14bobo3bobo$14b2o5b2o2$2o33b2o$bo33bo$bobo29bobo$2b2o
3b3o23b2o$6bo3bo8b2o$6bo3b2o8b2o$7bo7bo3b2o$11b4o4bo$11bo$2b2o4b3obo20b
2o$bobo6bobo20bobo$bo33bo$2o33b2o2$19b2o4bo$15b2obo2bobo$5b2o2b5o2bob
obo6bo2b2o$5bo2b2o4b2o2bo2b2o8bo$6b3o7b2ob2o2b4ob3o$3b3o4bo3b2o2bo2bo
3bo5b3o$2bo3b2o2b3o3bo3bo2b2o5bo3bo$3b2obobo5b2o5b2obo3bobob2o$4bobob
obobobo7bobobobobobo$3bo2bob5obo7bobo3bobo2bo$3b2o2bo5bo9bo5bo2b2o$8b
5o11b5o2$10bo15bo$9bobo13bobo$10bo15bo!

EDIT: Slight reduction:

Code: Select all

x = 37, y = 35, rule = B3/S23
16b2ob2o$16bo3bo$14bobo3bobo$14b2o5b2o2$2o33b2o$bo33bo$bobo29bobo$2b2o
3b3o23b2o$6bo3bo8b2o$6bo3b2o8b2o$bo5bo7bo3b2o14bo$bobo7b4o4bo13bobo$o
bo8bo22bobo$2bo5b3obo21bo$10bobo4$19b2o4bo$15b2obo2bobo$5b2o2b5o2bobo
bo6bo2b2o$5bo2b2o4b2o2bo2b2o8bo$6b3o7b2ob2o2b4ob3o$3b3o4bo3b2o2bo2bo3b
o5b3o$2bo3b2o2b3o3bo3bo2b2o5bo3bo$3b2obobo5b2o5b2obo3bobob2o$4bobobob
obobo7bobobobobobo$3bo2bob5obo7bobo3bobo2bo$3b2o2bo5bo9bo5bo2b2o$8b5o
11b5o2$10bo15bo$9bobo13bobo$10bo15bo!

[C_R_116]

P110 pi-heptomino/century hassler:

Code: Select all

x = 39, y = 38, rule = B3/S23
14b2o4b2o$14bobo2bobo$16bo2bo$15bo4bo$4b2ob2o6bo4bo$5bobo7bo4bo7b2o$3b
o5bo7b2o9b2o$2bob6o$2bo$3b4ob2o$3o3bob2o$o2b2o7b3o$3bo7bo2bo$bobo6bo$b
2o8bo2bo$12b3o7$24b3o$24bo2bo8b2o$28bo6bobo$24bo2bo7bo$24b3o7b2o2bo$
29b2obo3b3o$29b2ob4o$36bo$29b6obo$9b2o9b2o7bo5bo$9b2o7bo4bo7bobo$18bo
4bo6b2ob2o$18bo4bo$19bo2bo$17bobo2bobo$17b2o4b2o!

[iNoMed]

Here's a reduction to the p132 B heptomino shuttle, using smaller p4 sparkers:

Code: Select all

x = 43, y = 29, rule = B3/S23
19b2ob2o$19bo3bo$17bobo3bobo$17b2o5b2o2$3b2o33b2o$4bo33bo$4bobo29bobo$
5b2o29b2o2$22b2o$4bo7b2o8b2o14bo$4bobo6b2o21bobo$3bobo4bo2bo23bobo$5bo
6bo24bo4$40bo$b2o16b2o7bo10bobo$2bob2o12bo2bob2obo$o7bobob5o2b3obo10bo
bob2o2bo$2o2bobobo2bo5b2o5b2o6bobo2bo3b2o$5bo4bo8bob3o2b6o4bo$16bob2ob
o2bo$9bo3b2o7b2o9bo$9bobo19bobo$8bobo21bobo$10bo21bo!

Side note: there is a slightly larger p264 form at 139 cells, however it is nowhere near as elegant:

Code: Select all

x = 48, y = 29, rule = B3/S23
22b2ob2o$22bo3bo$20bobo3bobo$20b2o5b2o2$6b2o33b2o$7bo33bo$7bobo29bobo$
8b2o29b2o2$22b2o$22b2o8b2o3bo$5bo26bo4bo$32bo4bo4b3o$3b3obo25b2o7b3o$
2bob2o36b3o$2b2obo39b3o$ob3o40b3o$45b3o$2bo15bo$13b2obo3bob2ob2o7b2o$
13bo9bobo2b5o2bo$14b2o5b2o3b2o5b2o$11b3o2b5o2b3o9b3o$11bo2bo7bo3bobo3b
obo2bo$12b2o9b3o4bo4b2o2$23b2obo$23bob2o!

Then again, you can make a hybrid of the two forms at 136 cells:

Code: Select all

x = 46, y = 29, rule = B3/S23
19b2ob2o$19bo3bo$17bobo3bobo$17b2o5b2o2$3b2o33b2o$4bo33bo$4bobo29bobo$
5b2o29b2o2$13bo8b2o$4bo8b2o7b2o$4bobo8bo24bo$3bobo7b2o24bobo$5bo7bo24b
o3bo$39bo3bo$40bo3bo$41bo3bo$2bo39bobo$bobo10bo28bo$16bob2o2b2o2b3o2b
2o$o2b2obobo10bo2bo2b5o2bo$2o3bo2bobo6b2o4b9o$6bo4b6o2b4o9b3o$18bo4bo
7bo2bo$9bo9b4o9b2o$9bobo9bo$8bobo12bo$10bo11b2o!

[hotdogPi]

Here is a p80 pi-heptomino shuttle, with several variants shown:

Code: Select all

x = 86, y = 46, rule = B3/S23
2o4b2o$2o2b2ob3o$9b3o$7bobobo$4b2obobo$7bob2o58b2o9b2o$6b2ob2o13b2o32b
2o10bo9bo$6b2ob2o10b2o2bo32bo2b2o5bo13bo$6b2obo11bo3bob2o26b2obo3bo5b
2o5bo5b2o$7bobob2o9b3obo2bo24bo2bob3o9b2obobob2o$5bobobo14bobobo2bo20b
o2bobobo6b5obobobobob5o$5b3o18bobob2o20b2obobo7bo4bobobobobobo4bo$7b3o
b2o2b2o8b2obo26bob2o7b3ob2ob2ob2ob2ob3o$9b2o4b2o11bob2o20b2obo12bobo9b
obo$25b2obo2bo20bo2bob2o10bo11bo$25b2ob2o24b2ob2o3$21b3o36b3o$20bo3bo
34bo3bo11b2o$20b2ob2o8b2o24b2ob2o11b2o$33b2o$6b2o31b2o$5bobo25bo5bo$5b
o26b2o3bobo$4b2o31b2o$10b2o62b2obo$10b2o15bo5b2o39bob2o$27bobo$29bobo$
33b2o2$15b2ob2o34b2ob2o15b2o$13bo2bob2o13bo3bo14bo2bob2o15b2o$13b2obo
15bobobobo13b2obo$16bob2o13b2ob2o17bob2o$13b2obobo33b2obobo10b3o3bo3b
2o$13bo2bobobo9b3o5b3o11bo2bobobo8bo2bobobo2b2o$15bo2bob3o6bo4bobo4bo
12bo2bob3o4b2o4bobo$16b2obo3bo4bo5bobo5bo12b2obo3bo10bo$19bo2b2o5bo4bo
bo4bo16bo2b2o3bobo5bo$19b2o8b2o3bobo3b2o16b2o7b3o5bo$70bo4bo$31b3o3b3o
30b2o2b2o$70bo2bo$71bobo!

[hotcrystal0]

P5 thing hassler:

Code: Select all

x = 38, y = 38, rule = B3/S23
18b2o$16b3obo$15bo4bo$16b3obob2ob2o$18bobo2bobo$23bo2bo$15b2o3bo3bobo
$15bobo6bob2o$11b2o4bo4bobo3bo$8b2o2bo4b2o2b2ob2ob2o$7bobobo10bobo$3b
ob3o3b2o7b2ob5obo$3b2o4bobo8b2o4bob2o$6b6o$3b3o5bo8b2o$3bo4b3o6b2o11b
2o3bo$9bob2obob2ob3o9bo2bobo$b4obo4b2obob3ob3o5b3o3bobo$o15bo3bobo5bo
4b2ob2o$2ob2o4bo5bobo3bo15bo$bobo3b3o5b3ob3obob2o4bob4o$bobo2bo9b3ob2o
bob2obo$2bo3b2o11b2o6b3o4bo$16b2o8bo5b3o$26b6o$8b2obo4b2o8bobo4b2o$8b
ob5ob2o7b2o3b3obo$13bobo10bobobo$9b2ob2ob2o2b2o4bo2b2o$9bo3bobo4bo4b2o
$10b2obo6bobo$11bobo3bo3b2o$11bo2bo$12bobo2bobo$11b2ob2obob3o$17bo4bo
$17bob3o$18b2o!

[C_R_116]

p90 herschel shuttle:

Code: Select all

x = 50, y = 63, rule = B3/S23
26b2o$25bobo$20b2o3bo$20bo2b2ob4o$21b2obobo2bo$5bo2bob2obo2bo5bob2o4b
2o$5b4ob2ob4o5bobob4o2bo9b2o$5bo2bob2obo2bo4b2ob2obo2b2obo7bobo$20bo2b
o4bo4bo5b3o$20b2o2b3o3b3o6b2ob4o$2o24bobobo9bobo3bo$obo24b3o11bo2bo2bo
$bo39b6o$7b2o3b2o$5b2ob2ob2ob2o22b2o2b3o$5bo2bo3bo2bo22b2ob2ob3o$5bo2b
o3bo2bo11bo11b2obo4bo$6b2o5b2o11b3o10b2o2b5o$25b2o2bo9b2obo$28bobo3b3o
2b3ob2ob2o$10b2o15b2o7bo3bo3bob2o$10b2o23bobo3b2obo$35b2o5bobo$6b2o27b
2o5bobob2o$6bobo26bobo3b2obobo$8b3o25bo3bo3bobo$4b4ob2o11bo2b2o7b3o2b
3ob2ob2o$3bo3bobo13b3o13b2obo$2bo2bo2bo15bo14b2o2b5o$3b6o30b2obo4bo$
38b2ob2ob3o$5b3o2b2o26b2o2b3o$3b3ob2ob2o$2bo4bob2o30b6o$2b5o2b2o30bo2b
o2bo$7bob2o4bo24bobo3bo$2b2ob2ob3o3bobo22b2ob4o$3bobo3bo4bo24b3o$3bobo
b2o5bo26bobo$2b2obobo6bo3bo4b3o16b2o$5bobo6bo3bo$5bob2o5bo23b2o$2b2obo
3bo4bo23b2o$2b2ob2ob3o3bobo$7bob2o4bo$2b5o2b2o24b2o5b2o$2bo4bob2o23bo
2bo3bo2bo$3b3ob2ob2o22bo2bo3bo2bo$5b3o2b2o22b2ob2ob2ob2o$21bo14b2o3b2o
$3b6o12bo26bo$2bo2bo2bo38bobo$3bo3bobo9bo3bo24b2o$4b4ob2o6b3obob3o2b2o
$8b3o5bo3b2o4bo2bo$6bobo7bob2o2b2obob2o4bo2bob2obo2bo$6b2o9bo2b2o2b2ob
o5b4ob2ob4o$18b2o2b2obobo5bo2bob2obo2bo$20bo2bobob2o$20b4ob2o2bo$24bo
3b2o$22bobo$22b2o!

[hotcrystal0]

P13 honey farm hassler:

Code: Select all

x = 32, y = 25, rule = B3/S23
b2o4b2o$bo2bobobo$3b2obo$4bob2o$3bo7b2o9b2o$3b3obo3b2o2b2o5b2o$b2o4bo
8bo$o2b2o11bobo$bobo13b2o3b3o$2obo18b2obo$o2b2o16bo3bo$b2o4bo9bo3bob2o
$3b3obo3b2o3bobo3b3o3b2o$3bo7b2o4bo10bobo$4bob2o22bo$3b2obo8bo7b2o5b2o
$bo2bobobo6b2o6b2o$b2o4b2o6bobo$11bo3bobo$7b5obobob3o$7bo5b2obo3bo$8b
4o4bob2o$6bobo2bob3obo$6b2o4b2o3bo$17b2o!

Edit: Stator reduction:

Code: Select all

x = 32, y = 25, rule = B3/S23
b2o4b2o$bo2bobobo$3b2obo$4bob2o$3bo7b2o9b2o$3b3obo3b2o2b2o5b2o$b2o4bo
8bo$o2b2o11bobo$bobo13b2o3b3o$2obo18b2obo$o2b2o16bo3bo$b2o4bo9bo3bob2o
$3b3obo3b2o3bobo3b3o3b2o$3bo7b2o4bo10bobo$4bob2o22bo$3b2obo8bo7b2o5b2o
$bo2bobobo6b2o6b2o$b2o4bobo5bobo$8bo2bo3bobo$9b3obobob3o$13b2obo3bo$8b
ob2o4bob2o$8b2obob3obo$12b2o3bo$17b2o!

[LWSSONHWSSONLWSS]

Reduction?

Code: Select all

x = 37, y = 21, rule = B3/S23
11b2o14b2o$7b2o2bo2bo5b2o5b2o$7bobobob2o6bo$9bobo9bobo$8b2obob4o5b2o$
9b3obo2bo13bo$26b3obo$3bob2o9bo5bo3b3obo$b3ob2o6bo3bo3bobo9b2o$o11bo4b
o4bo10bobo$b3ob2o4bo4bo18bo$3bobo4bob2o14b2o5b2o$3bobo4bo6b2ob2o6b2o$
4bo4b2o7bobobo$16bo3bobo$14b3obobob3o$13bo4b2obo3bo$14b3o4bob2o$16bob
3obo$17b2o3bo$22b2o!

[ElijahKen]

P13 honey farm hassler:

Code: Select all

x = 32, y = 25, rule = B3/S23
b2o4b2o$bo2bobobo$3b2obo$4bob2o$3bo7b2o9b2o$3b3obo3b2o2b2o5b2o$b2o4bo
8bo$o2b2o11bobo$bobo13b2o3b3o$2obo18b2obo$o2b2o16bo3bo$b2o4bo9bo3bob2o
$3b3obo3b2o3bobo3b3o3b2o$3bo7b2o4bo10bobo$4bob2o22bo$3b2obo8bo7b2o5b2o
$bo2bobobo6b2o6b2o$b2o4b2o6bobo$11bo3bobo$7b5obobob3o$7bo5b2obo3bo$8b
4o4bob2o$6bobo2bob3obo$6b2o4b2o3bo$17b2o!

From this, I made a related p11 honey farm hassler. Is it new? I still don't know how to tell for sure (but it is not on the wiki).

Code: Select all

x = 33, y = 25, rule = B3/S23
27b2o$27bo$19b2o3b2obo$19bo4bobo$20b3obo$22bob2o$15b2o7bo2bo$8b2o5b2o
7bo2bo$9bo16b2o$9bobo10bo6b2o$10b2o9bobo5bobo$17b2o3bo8bo$2o12b2ob2o
12b2o$bo8bo3b2o$bobo5bobo9b2o$2b2o6bo10bobo$5b2o16bo$5bo2bo7b2o5b2o$5b
o2bo7b2o$7b2obo$8bob3o$6bobo4bo$5bob2o3b2o$5bo$4b2o!

[WhiteHawk]

[/code]

From this, I made a related p11 honey farm hassler. Is it new? I still don't know how to tell for sure (but it is not on the wiki).

Code: Select all

Not sure about novelty for p11 and p13, but both these oscillators are related to this p12, which is known and is currently the smallest known omnifrequent p12 oscillator at 63 cells.

Code: Select all

x = 22, y = 21, rule = B3/S23
7bo$b2o4bobo$o5bobo$3bo4bo4b2o$b2o10b2o5b2o$20bo$7bo10bobo$4b2obo10b2o
$4b2o$4bo5b3ob2o$14b2o$18b3o$19b3o$2b2o$4bob2o4b2o$o2bo2b2o4b2o$obo$b
o2$b2o$b2o!

EDIT: and this p17 (top extension)

Code: Select all

x = 82, y = 92, rule = B3/S23
25bo$25b3o$28bo$27b2o3$30b2o$24b2o2b2o2bo$24b2o2b2ob2o2b2o$21bo6bo2b2o
2b2o$20bobo6b2o21b2o$20bobo29bo$18b2o2b2o26bobo$19bobo2bob2o22b2o$18b
o2b2obob2o$19b2o3bo9b2o10b2o$21b2obob2o5b2o12b2o5b2o$21bo2bo2bo7bo10b
o7bo$22bobo2bobo22bobo$23bo4b2o22b2o$34b3o8b3o$31bob2obo8bob2obo$22b2o
10bo12bo10b2o$22bo36bo$19b2obo36bob2o$18bobob2o5b2o20b2o5b2obobo$17bo
6bo4b2o20b2o4bo6bo$16bo4b3o10b2o10b2o10b3o4bo$15bo4bo2bobo8b2o10b2o8b
obo2bo4bo$14bo4bobo38bobo4bo$14b2o2bobo40bobo2b2o$17bobo10bo20bo10bob
o$12b4obo10bob2obo14bob2obo10bob4o$12bo2bob2o9b3o20b3o9b2obo2bo$16bo18b
2o8b2o18bo$18bo16bobo6bobo16bo$6bo20bo9bo6bo9bo20bo$6b3o17bo10b2o4b2o
10bo17b3o$o8bo12b2o34b2o12bo8bo$3o5b2o5b2o6bo34bo6b2o5b2o5b3o$3bo11b2o
4b3o34b3o4b2o11bo$2b2o7bo10bo36bo10bo7b2o2$6bo4bo10bo36bo10bo4bo$5b2o
3b3o4b2o44b2o4b3o3b2o$5bobo2bo6b2o5b2o30b2o5b2o6bo2bobo$10b2o12bo32bo
12b2o$25b3o26b3o$27bo26bo5$27bo26bo$25b3o26b3o$10b2o12bo32bo12b2o$5bo
bo2bo6b2o5b2o30b2o5b2o6bo2bobo$5b2o3b3o4b2o44b2o4b3o3b2o$6bo4bo10bo36b
o10bo4bo2$2b2o7bo10bo36bo10bo7b2o$3bo11b2o4b3o34b3o4b2o11bo$3o5b2o5b2o
6bo34bo6b2o5b2o5b3o$o8bo12b2o34b2o12bo8bo$6b3o17bo10b2o4b2o10bo17b3o$
6bo20bo9bo6bo9bo20bo$18bo16bobo6bobo16bo$16bo18b2o8b2o18bo$12bo2bob2o
9b3o20b3o9b2obo2bo$12b4obo10bob2obo14bob2obo10bob4o$17bobo10bo20bo10b
obo$14b2o2bobo40bobo2b2o$14bo4bobo38bobo4bo$15bo4bo2bobo8b2o10b2o8bob
o2bo4bo$16bo4b3o10b2o10b2o10b3o4bo$17bo6bo4b2o20b2o4bo6bo$18bobob2o5b
2o20b2o5b2obobo$19b2obo36bob2o$22bo36bo$22b2o10bo12bo10b2o$31bob2obo8b
ob2obo$34b3o8b3o$28b2o22b2o$27bobo22bobo$27bo7bo10bo7bo$26b2o5b2o12b2o
5b2o$34b2o10b2o2$30b2o18b2o$29bobo18bobo$29bo22bo$28b2o22b2o!

[I6_I6]

P13 billiard table by Sylvie on the Discord:

Code: Select all

x = 12, y = 14, rule = B3/S23
5bo$4bobo$4bobo$3b2ob3o$3bo5bo$2obob2obo2bo$obobobobob2o$2bobobobobo$
2bo2bob2obo$b2ob2o3bo$3bo3b2o$3bobobo$4b2o2bo$7b2o! 

Stator reduction:

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x = 11, y = 12, rule = B3/S23
5bo$3b5o$2bo5bo$2bob2obo2bo$2obobobob2o$bobobobobo$bo2bob2obo$2ob2o3b
o$2bo3b2o$2bobobo$3b2o2bo$6b2o!

[LWSSONHWSSONLWSS]

Another reduction

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x = 11, y = 11, rule = B3/S23
b2o$2bo5b2o$2bob2obo2bo$2obobobob2o$bobobobobo$bo2bob2obo$2ob2o3bo$2b
o3b2o$2bobobo$3b2o2bo$6b2o!

EDIT: Another another

Code: Select all

x = 11, y = 11, rule = B3/S23
b2o$2bo5bo$2bob2obobo$2obobobobo$bobobobob2o$bo2bob2o2bo$2ob2o3bo$2bo
3b2o$2bobobo$3b2o2bo$6b2o!

[Period1GliderGun]

p26 partial with a p6 sparker:

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x = 25, y = 22, rule = B3/S23
10b2o$10b2o4$b2o$2bo$2bobo$3b2o$8b2o2bo$8b2o2bo$12bo2$21b2o$5b2o10b2o
bo$5bobo9b2o2bo2bo$2o4b2o14bobo$obo20bo$b2o$3b2o17b2o$3bobo16b2o$4b2o
!

[WhiteHawk]

p26 partial with a p6 sparker:

Code: Select all

I think that's actually a p52 partial due to the period-doubling reaction.