Oscillator Discussion Thread

[8than888]

I just reduced 128P10.2 to 104 cells!

Code: Select all

  
x = 45, y = 21, rule = B3/S23  
19b2o3b2o$18bobo3bobo4$17bo2bo3bo2bo$18bobo3bobo$19bobobobo$19bobobobo  
$5b3o11b2o3b2o11b3o2$4bo35bo$7bo3bo5b2o7b2o5bo3bo$5b2o3bobo4b2o7b2o4bo  
bo3b2o$9bobo21bobo$2b2o5b2o3b2o13b2o3b2o5b2o$3bo5b2o2bobo13bobo2b2o5bo  
$3o10bobo13bobo10b3o$o11b2o17b2o11bo$13bobo13bobo$14bo15bo!  

I noticed that some of the duplicates can be replaced with p10 eaters, and I was able to do that using 2 41P10s!

[LuveelVoom]

I just reduced 128P10.2 to 104 cells!

Code: Select all

  
x = 45, y = 21, rule = B3/S23  
19b2o3b2o$18bobo3bobo4$17bo2bo3bo2bo$18bobo3bobo$19bobobobo$19bobobobo  
$5b3o11b2o3b2o11b3o2$4bo35bo$7bo3bo5b2o7b2o5bo3bo$5b2o3bobo4b2o7b2o4bo  
bo3b2o$9bobo21bobo$2b2o5b2o3b2o13b2o3b2o5b2o$3bo5b2o2bobo13bobo2b2o5bo  
$3o10bobo13bobo10b3o$o11b2o17b2o11bo$13bobo13bobo$14bo15bo!  

I noticed that some of the duplicates can be replaced with p10 eaters, and I was able to do that using 2 41P10s!

Not sure if this was known with the original 128P10.2, but you can do this:

Code: Select all

x = 45, y = 36, rule = B3/S23
14bo15bo$13bobo13bobo$o11b2o17b2o11bo$3o10bobo13bobo10b3o$3bo5b2o2bob
o13bobo2b2o5bo$2b2o5b2o3b2o13b2o3b2o5b2o$9bobo21bobo$5b2o3bobo4b2o7b2o
4bobo3b2o$7bo3bo5b2o7b2o5bo3bo$4bo35bo2$5b3o11b2o3b2o11b3o$19bobobobo
$19bobobobo$18bobo3bobo$18bo7bo5$18bo7bo$18bobo3bobo$19bobobobo$19bob
obobo$5b3o11b2o3b2o11b3o2$4bo35bo$7bo3bo5b2o7b2o5bo3bo$5b2o3bobo4b2o7b
2o4bobo3b2o$9bobo21bobo$2b2o5b2o3b2o13b2o3b2o5b2o$3bo5b2o2bobo13bobo2b
2o5bo$3o10bobo13bobo10b3o$o11b2o17b2o11bo$13bobo13bobo$14bo15bo!

[Period1GliderGun]

can someone with a search program look at this p8 pipsquirter partial (originally found in Travelling Ts)?

Code: Select all

x = 15, y = 10, rule = B3/S23Investigator
A13.A$3A9.3A$3.A7.A$2.A2.2A.2A2.A$2.AD.A3.A.DA$5.A.A.A$2.2A2.A.A2.2A$
2.A4.A4.A$A.A9.A.A$2A11.2A!

[eRroR_6o6]

Quite elegant p26 queen bee shuttle tetramer, which is extensible:

Code: Select all

x = 31, y = 31, rule = B3/S23
10b2o7b2o$3b2o6bo7bo6b2o$4bo2bobo11bobo2bo$bo2bobob3o9b3obobo2bo$b3o2b
o7bobo7b2ob3o$7b2o5bo3bo3b2o2bo$3b2o4bo8bo2bobo2b2o$2bo2bo2bo5bo4bo2bo
b2o2bo$3bobobo10bo4bobobo$2b2o2bo7bo3bo5bo2b2o$o2bo10bobo10bo2bo$2o21b
o5b2o$21b2ob2o2$4b2obob2o9bo5bo2$4bo5bo9b2obob2o2$5b2ob2o$2o5bo21b2o$o
2bo10bobo10bo2bo$2b2o2bo5bo3bo7bo2b2o$3bobobo4bo10bobobo$2bo2b2obo2bo
4bo5bo2bo2bo$3b2o2bobo2bo8bo4b2o$4bo2b2o3bo3bo5b2o$b3ob2o7bobo7bo2b3o$
bo2bobob3o9b3obobo2bo$4bo2bobo11bobo2bo$3b2o6bo7bo6b2o$10b2o7b2o!

Code: Select all

x = 63, y = 63, rule = B3/S23
26b2o7b2o$19b2o6bo7bo6b2o$20bo2bobo11bobo2bo$17bo2bobob3o9b3obobo2bo$
17b3o2bo10b2o5b2ob3o$23b2o7bo5b2o2bo$19b2o4bo5bo7bo2b2o$18bo2bo2bo6bo
3bob2ob2o2bo$19bobobo7bo7bobobo$18b2o2bo9bobo4bo3b2o$16bo2bo13bo9bo2bo
$16b2o21bo5b2o$37bo4bo$36bo5bo$37bo3bo$22b3o13b3o$10b2o9bo3bo25b2o$3b
2o6bo8bo5bo24bo6b2o$4bo2bobo11bo4bo26bobo2bo$bo2bobob3o12bo5b2ob2o18b
3obobo2bo$b3o2bo10bo9bo2bobo2bo13b2o5b2ob3o$7b2o7bobo4bo3b2o5b2o2bo9bo
5b2o2bo$3b2o4bo5bo7bobobo7bobobo7bo7bo2b2o$2bo2bo2bo6bo3bob2ob2o2bo5bo
2bo2bo6bo3bob2ob2o2bo$3bobobo7bo7bo2b2o7b2o4bo5bo7bobobo$2b2o2bo9bo5b
2o2bo12b2o7bobo4bo3b2o$o2bo13b2o5b2ob3o3b3o2bo10bo9bo2bo$2o18b3obobo2b
o3bo2bobob3o12bo5b2o$21bobo2bo9bo2bobo11bo4bo$19bo6b2o7b2o6bo8bo5bo$
19b2o21b2o9bo3bo$6b3o45b3o$5bo3bo9b2o21b2o$4bo5bo8bo6b2o7b2o6bo$4bo4bo
11bobo2bo9bo2bobo$2o5bo12b3obobo2bo3bo2bobob3o18b2o$o2bo9bo10bo2b3o3b
3ob2o5b2o13bo2bo$2b2o3bo4bobo7b2o12bo2b2o5bo9bo2b2o$3bobobo7bo5bo4b2o
7b2o2bo7bo7bobobo$2bo2b2ob2obo3bo6bo2bo2bo5bo2b2ob2obo3bo6bo2bo2bo$3b
2o2bo7bo7bobobo7bobobo7bo5bo4b2o$4bo2b2o5bo9bo2b2o5b2o3bo4bobo7b2o$b3o
b2o5b2o13bo2bobo2bo9bo10bo2b3o$bo2bobob3o18b2ob2o5bo12b3obobo2bo$4bo2b
obo26bo4bo11bobo2bo$3b2o6bo24bo5bo8bo6b2o$10b2o25bo3bo9b2o$22b3o13b3o$
21bo3bo$20bo5bo$20bo4bo$16b2o5bo21b2o$16bo2bo9bo13bo2bo$18b2o3bo4bobo
9bo2b2o$19bobobo7bo7bobobo$18bo2b2ob2obo3bo6bo2bo2bo$19b2o2bo7bo5bo4b
2o$20bo2b2o5bo7b2o$17b3ob2o5b2o10bo2b3o$17bo2bobob3o9b3obobo2bo$20bo2b
obo11bobo2bo$19b2o6bo7bo6b2o$26b2o7b2o!

[Timelord Missionary]

p6 weird spark shuttle partial:

Code: Select all

x = 6, y = 9, rule = B3/S23
b2o2$bo2bo$2b2o$3bo2$b3o$b2o$3bo!

[edit] Alternate stablization:

Code: Select all

x = 4, y = 9, rule = B3/S23
2o2$o2bo$b2o$2bo2$bobo$3bo$bo!

Alternate alternate stabilization:

Code: Select all

x = 13, y = 10, rule = B3/S23
$4b2o2$4bo2bo2bo$5b2o3bo$6bo2b3o$9b2o$4b3o2b3o$10bo$3bobobo2bo!

[edit] Holy crap, this works!

Code: Select all

x = 24, y = 33, rule = B3/S23
13b2o$13bobo$15bo$11b4ob2o$11bo4bobob2o$9b2o2bo2bobob2o$8bo2b2o3bobo$
7bob2o2bob2obo$7bo4bo4bo$5bob4obob3o$3b3o4b5o$2bo3b2o$bob2o3bo$bobob3o
$2obo2bo3b2o$3bo13b2ob2o$3bobo4bo2bo2bobobo$2b2ob2o4b2o3bobobo$12bo2b
3o2bob2o$15b2o3bobo$10b3o2bo3b2obo$16b2o3bo$9bobobo4b3o$7b3obob4obo$6b
o5bo3bo$5bobob2o2b2obo$5bob2o2b2o2bo$2b2obo4bo2b2o$2b2obobobo2bo$6b2o
b4o$8bo$8bobo$9b2o!

p6 weird spark shuttle completed! I assume this is optimal, because I didn't change much with that weld at all.

[synperiplanar]

is this p8 "T-nose" known? it doesn't show on the p8 section of Traffic light hasslers nor Period-8 sparkers (makes sense why it wouldn't show on the latter though)

Code: Select all

x = 73, y = 20, rule = B3/S23
16b2o37b2o$4bobobo2bo3bo2bob2o29b2obo2bo3bo2bobobo$3bob2ob4o2bob3obo31b
ob3obo2b4ob2obo$b3o10bo6b3o25b3o6bo10b3o$o4b9ob6o2bo25bo2b6ob9o4bo$b3o
3bo5bobobo4bo27bo4bobobo5bo3b3o$3bobo3b2o3bo3b2o33b2o3bo3b2o3bobo$4bo
3bo2bo4b2o8b5obo7bob5o8b2o4bo2bo3bo$11bo5b2o3bob2o21b2obo3b2o5bo$11bo
8bo2bo9bo2bo2bo9bo2bo8bo$11bo8bo2bo9bob3obo9bo2bo8bo$11bo5b2o3bob2o21b
2obo3b2o5bo$4bo3bo2bo4b2o8b5obo7bob5o8b2o4bo2bo3bo$3bobo3b2o3bo3b2o33b
2o3bo3b2o3bobo$b3o3bo5bobobo4bo27bo4bobobo5bo3b3o$o4b9ob6o2bo25bo2b6o
b9o4bo$b3o10bo6b3o25b3o6bo10b3o$3bob2ob4o2bob3obo31bob3obo2b4ob2obo$4b
obobo2bo3bo2bob2o29b2obo2bo3bo2bobobo$16b2o37b2o!

[8than888]

I almost found a p17 LoM hassler! It just needs a catalyst, but I found a LifeInvestigator solution:

Code: Select all

x = 21, y = 36, rule = LifeInvestigator
17.A$16.A.A$16.A.A$15.2A.2A$10.2A7.A$10.2A3.2A.A$15.2A.A.A$19.2A$10.
3A$10.3A$9.A6.A$15.A.A$16.A5$11.2A$8.A2.A$9.2A5.A$15.D.A$A15.2A$3A$3.
A5.2A$2.2A5.2A2$6.2A$6.2A$6.A.A$7.2A$7.2A2$4.2A5.2A$5.A5.A$2.3A7.3A$
2.A11.A!

I was experimenting with how an eaten block can still eat and survive, and I noticed that when it ate a LoM, it looked like it can be hassled, so I searched it and found this partial! It can also become a sparker with the pipsquirter catalyst:

Code: Select all

x = 25, y = 36, rule = LifeInvestigator
9.2A2.2A4.A2.2A$10.A2.A4.3A2.A$9.A4.A2.A.A.2A$9.2A2.2A2.A3.A$7.2A3.A
2.3A.A.A.A$6.A.A.2A.A4.2A.2A.A$6.A2.A.A.A.2A3.A3.A$7.A.A4.A2.2A.A.2A$
6.2A.A5.A3.A.A$4.A2.A2.A.A3.2A.A.A$4.2A2.A3.A4.A.2A$13.A3.A$18.3A$20.
A4$11.2A$8.A2.A$9.2A5.A$15.D.A$A15.2A$3A$3.A5.2A$2.2A5.2A2$6.2A$6.2A$
6.A.A$7.2A$7.2A2$4.2A5.2A$5.A5.A$2.3A7.3A$2.A11.A!

I also just reduced 186P24 to 142 cells!

Code: Select all

x = 44, y = 28, rule = B3/S23
o40bo$3o36b3o$3bo34bo$2b2o34b2o2$6b2o4bo16bo4b2o$5bobo3bobo4b2o2b2o4bo
bo3bobo$5bobo3bobo3bo2b2o2bo3bobo3bobo$6bo4b2o5b2o2b2o5b2o4bo$2b2o34b
2o$3bo34bo$3o36b3o$o40bo$21b3o$20b3o$2bo40bo$2b3o36b3o$5bo34bo$4b2o34b
2o$8bo4b2o5b2o2b2o5b2o4bo$7bobo3bobo3bo2b2o2bo3bobo3bobo$7bobo3bobo4b
2o2b2o4bobo3bobo$8b2o4bo16bo4b2o2$4b2o34b2o$5bo34bo$2b3o36b3o$2bo40bo!

is this p8 "T-nose" known? it doesn't show on the p8 section of Traffic light hasslers nor Period-8 sparkers (makes sense why it wouldn't show on the latter though)

Code: Select all

x = 73, y = 20, rule = B3/S23
16b2o37b2o$4bobobo2bo3bo2bob2o29b2obo2bo3bo2bobobo$3bob2ob4o2bob3obo31b
ob3obo2b4ob2obo$b3o10bo6b3o25b3o6bo10b3o$o4b9ob6o2bo25bo2b6ob9o4bo$b3o
3bo5bobobo4bo27bo4bobobo5bo3b3o$3bobo3b2o3bo3b2o33b2o3bo3b2o3bobo$4bo
3bo2bo4b2o8b5obo7bob5o8b2o4bo2bo3bo$11bo5b2o3bob2o21b2obo3b2o5bo$11bo
8bo2bo9bo2bo2bo9bo2bo8bo$11bo8bo2bo9bob3obo9bo2bo8bo$11bo5b2o3bob2o21b
2obo3b2o5bo$4bo3bo2bo4b2o8b5obo7bob5o8b2o4bo2bo3bo$3bobo3b2o3bo3b2o33b
2o3bo3b2o3bobo$b3o3bo5bobobo4bo27bo4bobobo5bo3b3o$o4b9ob6o2bo25bo2b6o
b9o4bo$b3o10bo6b3o25b3o6bo10b3o$3bob2ob4o2bob3obo31bob3obo2b4ob2obo$4b
obobo2bo3bo2bob2o29b2obo2bo3bo2bobobo$16b2o37b2o!

It's known in the sparker stamp collection:

Code: Select all

  
x = 81, y = 27, rule = LifeHistory
2$18.2A37.2A$6.A.A.A2.A3.A2.A.2A29.2A.A2.A3.A2.A.A.A$5.A.2A.4A2.A.3A.
A31.A.3A.A2.4A.2A.A$3.3A10.A6.3A25.3A6.A10.3A$2.A4.9A.6A2.A25.A2.6A.9A
4.A$3.3A.A5.A3.A5.A29.A5.A3.A5.A.3A$5.2A3.3A3.A.2A2.A8.2A5.C5.2A8.A2.
2A.A3.3A3.2A$9.A.A7.A2.A6.4A5.A5.4A6.A2.A7.A.A$8.3A9.A6.A.A.2A4.3A4.2A
.A.A6.A9.3A$8.3A12.2A.A2.A.2A4.3A4.2A.A2.A.2A12.3A$8.3A12.2A.A2.A.2A4.
3A4.2A.A2.A.2A12.3A$8.3A9.A6.A.A.2A5.A5.2A.A.A6.A9.3A$9.A.A7.A2.A6.4A
11.4A6.A2.A7.A.A$5.2A3.3A3.A.2A2.A8.2A11.2A8.A2.2A.A3.3A3.2A$3.3A.A5.
A3.A5.A29.A5.A3.A5.A.3A$2.A4.9A.6A2.A25.A2.6A.9A4.A$3.3A10.A6.3A25.3A
6.A10.3A$5.A.2A.4A2.A.3A.A31.A.3A.A2.4A.2A.A$6.A.A.A2.A3.A2.A.2A29.2A
.A2.A3.A2.A.A.A$18.2A37.2A!

[eRroR_6o6]

p3 oscillator that can be rephased at 3n+2 with an eater1 interaction:

Code: Select all

x = 14, y = 14, rule = B3/S23
2bo6b2o$obo6b2o$b2o2$10b2o$9bo2bo$9bobo$6b2obobobo$5bobobo2b2o$3b3o3bo
$2bo4b2o$3b3o$5bob4o$6b2o2bo!

Which, when overclocked with an eater 2, makes a p8:

Code: Select all

x = 15, y = 15, rule = B3/S23
4bo$3bobo4b2o$3bobo4b2o$b3ob2o$o$b3ob2o5bo$3bob2o3b2obo$10bobo$7b2obob
obo$6bobobo2b2o$4b3o3bo$3bo4b2o$4b3o$6bob4o$7b2o2bo!

I'm sure there are other uses for the p3 motif, and there probably exist similar billiard tables that can do the same thing, but I haven't found any yet.

[hotdogPi]

I almost found a p17 LoM hassler! It just needs a catalyst, but I found a LifeInvestigator solution:

Code: Select all

x = 21, y = 36, rule = LifeInvestigator
17.A$16.A.A$16.A.A$15.2A.2A$10.2A7.A$10.2A3.2A.A$15.2A.A.A$19.2A$10.
3A$10.3A$9.A6.A$15.A.A$16.A5$11.2A$8.A2.A$9.2A5.A$15.D.A$A15.2A$3A$3.
A5.2A$2.2A5.2A2$6.2A$6.2A$6.A.A$7.2A$7.2A2$4.2A5.2A$5.A5.A$2.3A7.3A$
2.A11.A!

Still not complete but closer

Code: Select all

x = 21, y = 36, rule = B3/S23
2bo11bo$2b3o7b3o$5bo5bo$4b2o5b2o2$9bo$9b2o$3b3o3b3o$4b2o$5bo2$2b2o5b2o
$3bo5b2o$3o8bo7b2o$o7bo7b2o$8bo3bo2bo2bo$8b2ob2o3b2o$8bo4bo$9b2ob2o$9b
o3bo$10b3o3$16bo$11bo3bobo$10bobo3bo$10bo2bo$11b2o$19b2o$15bo2bobo$10b
2o3bo2bo$10b2o4bo2bo$15b2ob2o$16bobo$16bobo$17bo!

[Timelord Missionary]

I almost found a p17 LoM hassler! It just needs a catalyst, but I found a LifeInvestigator solution:

Code: Select all

x = 21, y = 36, rule = LifeInvestigator
17.A$16.A.A$16.A.A$15.2A.2A$10.2A7.A$10.2A3.2A.A$15.2A.A.A$19.2A$10.
3A$10.3A$9.A6.A$15.A.A$16.A5$11.2A$8.A2.A$9.2A5.A$15.D.A$A15.2A$3A$3.
A5.2A$2.2A5.2A2$6.2A$6.2A$6.A.A$7.2A$7.2A2$4.2A5.2A$5.A5.A$2.3A7.3A$
2.A11.A!

Still not complete but closer

Code: Select all

x = 21, y = 36, rule = B3/S23
2bo11bo$2b3o7b3o$5bo5bo$4b2o5b2o2$9bo$9b2o$3b3o3b3o$4b2o$5bo2$2b2o5b2o
$3bo5b2o$3o8bo7b2o$o7bo7b2o$8bo3bo2bo2bo$8b2ob2o3b2o$8bo4bo$9b2ob2o$9b
o3bo$10b3o3$16bo$11bo3bobo$10bobo3bo$10bo2bo$11b2o$19b2o$15bo2bobo$10b
2o3bo2bo$10b2o4bo2bo$15b2ob2o$16bobo$16bobo$17bo!

Not a completion, only a variation on a theme:

Code: Select all

 x = 26, y = 36, rule = B3/S23
2bo11bo$2b3o7b3o$5bo5bo$4b2o5b2o2$9bo$9b2o5bo$3b3o3b3o$4b2o17bo$5bo17b
obo$23b2o$2b2o5b2o$3bo5b2o$3o8bo7b3o$o7bo7b2o$8bo3bo2bo2bo$8b2ob2o3b2o
$8bo4bo$9b2ob2o$9bo3bo$10b3o3$16bo$11bo3bobo$10bobo3bo$10bo2bo$11b2o$
19b2o$15bo2bobo$10b2o3bo2bo$10b2o4bo2bo$15b2ob2o$16bobo$16bobo$17bo!

[WhiteHawk]

Not a completion, only a variation on a theme:

Code: Select all

This doesn't work, but it technically does "work"

Code: Select all

x = 100, y = 82, rule = B3/S23
46b2o22b2o$47bo22bo$47bobo18bobo$48b2o18b2o2$51b3o10b3o$44b2o5bo14bo5b
2o$45bo6bo12bo6bo$45bobo22bobo$46b2o5bo10bo5b2o$51b2obo8bob2o$51bo2bo
8bo2bo$40b2o9b3o10b3o9b2o$40bo36bo$37b2obo36bob2o$36bobob2o5b2o20b2o5b
2obobo$35bo6bo4b2o20b2o4bo6bo$34bo4b3o10b2o10b2o10b3o4bo$33bo4bo2b2o9b
2o10b2o9b2o2bo4bo$32bo4bobo38bobo4bo$32b2o2bobo40bobo2b2o$35bobo9b3o18b
3o9bobo$30b4obo10bo2bo18bo2bo10bob4o$30bo2bob2o9bob2o18b2obo9b2obo2bo
$34bobo10bo5b2o8b2o5bo10bobo$53bobo6bobo$24bo30bo6bo30bo$24b3o28b2o4b
2o28b3o$18bo8bo12b2o34b2o12bo8bo$18b3o5b2o5b2o4bo2bo32bo2bo4b2o5b2o5b
3o$21bo11b2o4bobo34bobo4b2o11bo$20b2o17b3o34b3o17b2o2$23b2o3b3o56b3o3b
2o$23bobo2bobo4b2o44b2o4bobo2bobo$23bo3bo2bo4b2o5b2o30b2o5b2o4bo2bo3b
o$28b2o12bo32bo12b2o$43b3o26b3o$2bo11bo30bo26bo$2b3o7b3o$5bo5bo$4b2o5b
2o2$9bo35bo26bo$9b2o32b3o26b3o$3b3o3b3o16b2o12bo32bo12b2o$4b2o17bo3bo
2bo4b2o5b2o30b2o5b2o4bo2bo3bo$5bo17bobo2bobo4b2o44b2o4bobo2bobo$23b2o
3b3o56b3o3b2o$2b2o5b2o$3bo5b2o28b3o34b3o17b2o$3o8bo7b3o11b2o4bobo34bo
bo4b2o11bo$o7bo7b2o8b2o5b2o4bo2bo32bo2bo4b2o5b2o5b3o$8bo3bo2bo2bo8bo12b
2o34b2o12bo8bo$8b2ob2o3b2o6b3o28b2o4b2o28b3o$8bo4bo10bo30bo6bo30bo$9b
2ob2o39bobo6bobo$9bo3bo20bobo10bo5b2o8b2o5bo10bobo$10b3o17bo2bob2o9bo
b2o18b2obo9b2obo2bo$30b4obo10bo2bo18bo2bo10bob4o$35bobo9b3o18b3o9bobo
$16bo15b2o2bobo40bobo2b2o$11bo3bobo14bo4bobo38bobo4bo$10bobo3bo16bo4b
o2b2o9b2o10b2o9b2o2bo4bo$10bo2bo20bo4b3o10b2o10b2o10b3o4bo$11b2o22bo6b
o4b2o20b2o4bo6bo$19b2o15bobob2o5b2o20b2o5b2obobo$15bo2bobo16b2obo36bo
b2o$10b2o3bo2bo21bo36bo$10b2o4bo2bo20b2o9b3o10b3o9b2o$15b2ob2o31bo2bo
8bo2bo$16bobo32b2obo8bob2o$16bobo27b2o5bo10bo5b2o$17bo27bobo22bobo$45b
o6bo12bo6bo$44b2o5bo14bo5b2o$51b3o10b3o2$48b2o18b2o$47bobo18bobo$47bo
22bo$46b2o22b2o!

[8than888]

I just found a p12 traffic light hassler!

Code: Select all

x = 48, y = 24, rule = B3/S23
14bo$14bo$14bo$13b2o13bo13b2o$11bo14b3o13b2o2b2o$10bo4bo9bo14b2obo2b2o
$10bo14b2o13b3o$12b3o$23bo12bo$22bobo6bo4b3o2b2o$21bo3bo4b2o4b2o3b2o$
15b2o5bobo5b2o4b2o$11bo2bo2bo5bo3bo2b2o$5b2o3bobo2b2o10bo$5b2o4b2o14bo
2$33b3o$5b3o13b2o14bo$2o2bob2o14bo9bo4bo$2o2b2o13b3o14bo$4b2o13bo13b2o
$33bo$33bo$33bo!

It uses a part of a blinker to turn another one into a traffic light predecessor, and I was able to use my p12 beehive hassler to do that!

[WhiteHawk]

I just found a p12 traffic light hassler!

Code: Select all

It uses a part of a blinker to turn another one into a traffic light predecessor, and I was able to use my p12 beehive hassler to do that!

Alternate stabilization exposing the corner dot spark - also for clarity this is technically not a Traffic Light hassler, but a TL+blinker hassler

Code: Select all

x = 48, y = 24, rule = B3/S23
14bo$14bo$14bo$13b2o3bo23b2o$11bo6b3o21b2o2b2o$10bo4bo5bo18b2obo2b2o$
10bo9b2o18b3o$12b3o$23bo12bo$22bobo6bo4b3o2b2o$21bo3bo4b2o4b2o3b2o$15b
2o5bobo5b2o4b2o$11bo2bo2bo5bo3bo2b2o$5b2o3bobo2b2o10bo$5b2o4b2o14bo2$
33b3o$5b3o18b2o9bo$2o2bob2o18bo5bo4bo$2o2b2o21b3o6bo$4b2o23bo3b2o$33b
o$33bo$33bo!

[KtT]

p120 diagonal flipper; dot is placed in the same spot both times; gray StateInvestigator cells delete junk

Code: Select all

x = 30, y = 30, rule = StateInvestigator
15.E$8.A$7.A.A$3.A2.2A$5.A$5.A.A.A.A$5.3A.A.2A$9.A.A$10.A9.A$19.A.A$
18.2A$17.A$17.A.A.A.A$17.3A.A.2A$7.A13.A.A5.E$E5.A.A13.A$5.2A.A.3A$6.
A.A.A.A$12.A$10.2A$8.A.A$9.A9.A$18.A.A$17.2A.A.3A$18.A.A.A.A$24.A$22.
2A2.A$20.A.A$21.A$14.E!

Completed:

Code: Select all

x = 66, y = 62, rule = B3/S23
21b2o$21b2o5$37b3o$20b3o14b3o$37b3o$20bobo11b3o$19b5o10b3o$18b2o3b2o9b
3o$18b2o3b2o2$11b2o$10b3o$2o5bob2o9bobo$2o5bo2bo4bo6bo3bo$7bob2o5bo8b
obo$10b3o3bo4bo2b2o$11b2o5b2o3bo$23bobobobo$23b3obob2o25bo$27bobo26b2o
$28bo9bo16b2obo$37bobo14bo2b3o$36b2o15bobobo$35bo16bobobo$35bobobobo8b
3o2bo$35b3obob2o8bob2o$12bo12bo13bobo10b2o$12b2o10bobo13bo12bo$11b2ob
o8b2obob3o$10bo2b3o8bobobobo$9bobobo16bo$8bobobo15b2o$6b3o2bo14bobo$7b
ob2o16bo9bo$8b2o26bobo$9bo25b2obob3o$36bobobobo$42bo3b2o5b2o$40b2o2bo
4bo3b3o$38bobo8bo5b2obo$39bo3bo6bo4bo2bo5b2o$43bobo9b2obo5b2o$53b3o$53b
2o2$41b2o3b2o$29b3o9b2o3b2o$29b3o10b5o$29b3o11bobo$26b3o$26b3o14b3o$26b
3o5$43b2o$43b2o!

[8than888]

I just found a p16 pi/angel/honey farm hassler!

Code: Select all

x = 22, y = 29, rule = B3/S23
6b2o$3b2o2bo9b4o$b3ob2o5b2o7bo$o11b2o2b2o3bo$b3ob2o9b2o2bo$3bob2o3$10b
2o$9bo2bo$8b2ob2o$8bo2bo$9b2o4b2o$15bobo$17bo$17b2o2$7b3o3b2o$6bo3bobo
2bo$9bo$16bo$13bo2bo$5b2o7b2ob2o$3bob2o9b3o$2bo14bo$5bo$b2obo$b2o14b2o
$17b2o!

I noticed that something like a honey farm or traffic light predecessor can be turned into a pi with a simple spark or eater, which can then be turned into an angel, so I just found a way to turn an angel back into a honey farm predecessor with a grin!

Edit: the marked area is the hassled object (the pi/angel/honey farm). The others are just for stabilization.

Code: Select all

x = 22, y = 29, rule = LifeHistory
6.2A$3.2A2.A9.4A$.3A.2A5.2A7.A$A11.2A2.2A3.A$.3A.2A9.2A2.A$3.A.2A3$
10.2A$9.A2.A$8.2A.2A$8.A2.A$9.2A4.2A$15.A.A$17.A$7.4D6.2A$6.6D$6.D3C
2D.2A$6.C3DC.A2.A$8.DC$16.A$13.A2.A$5.2A7.2A.2A$3.A.2A9.3A$2.A14.A$5.
A$.2A.A$.2A14.2A$17.2A!

[dvgrn]

I noticed that something like a honey farm or traffic light predecessor can be turned into a pi with a simple spark or eater, which can then be turned into an angel, so I just found a way to turn an angel back into a honey farm predecessor with a grin!

It certainly looks like it belongs in the p16 honey farm hasslers gallery (and isn't there yet)!

So now we know how many angels can dance on the point of a grin.

[GilGil]

Period = 30 × (2¹²⁷ − 1) = 5,104,235,503,814,076,951,950,619,111,476,523,171,810 :

Code: Select all

x = 559, y = 533, rule = B3/S23
13$292bo$291bobo$290bob2o15b2o$284b2o3b2ob2o14bobo$284b2o4bob2o13bo6b
2o$291bobo13bo2bo2bo2bob2o$292bo5bo8bo6b2o2b2o$298bobo7bobo$298b2o9b2o
5$249b2o40bo$249bo2bo37bo$253bo9bobo24b3o$237bo15bo7bo3bo$234b4o15bo7b
o$225bo7b4o12bo2bo7bo4bo8b2o$224bobo6bo2bo12b2o10bo12b2o$223bo3b2o4b4o
24bo3bo$212b2o9bo3b2o5b4o14bobo8bobo17bo$212b2o9bo3b2o8bo14b2o29bobo$
224bobo26bo24b2o3b2o$225bo51bo5bo$234bobo39bo12b2o$235b2o29b2o8bo7bo4b
2o$235bo30b2o8bo8b2o5b2o$246bo30bo4b2o2bo5b3o5b2o$244b2o32b2ob5o6b2o6b
2o$245b2o37bo4b2o$289b2o$242bo13bo2bo$243b2o15bo11b4o$242b2o12bo3bo10b
o3bo$246b3o8b4o14bo$248bo22bo2bo$237bo9bo$236bobo38b2o$224b2o10b2obo8b
obo26bobo20b2o$224b2o10b2ob2o6bo2bo26bo22bo$236b2obo6b2o10b2o28bo9bobo
$236bobo5b2o3bo8b2o26b4o8b2o$237bo8b2o5b2o21bobo6bobob2o$247bo2bo4bo
20bo3bo3bo2bob3o$248bobo29bo4bobob2o$276bo4bo4b4o$280bo7bo$268b2o6bo3b
o$267bobo6bobo$267bo$266b2o23$231bo$231bobo$231b2o162$538b2o$538b2o3$
54bo$54b3o$57bo$56b2o480b3o$537b2ob2o$537b2ob2o$537b5o$536b2o3b2o3$59b
o$58b3o$57b5o$56b2o3b2o2$541b2o$541bo$58b3o481b3o$58b3o483bo3$59b2o$
59b2o224$310bobo$310bo2bo$313b2o6b2o$311bo3b2o4b2o$313b2o$302b2o6bo2bo
$301bobo6bobo$301bo$300b2o!

To compare with this other loop of similar size, whose period is much shorter :

Code: Select all

x = 641, y = 621, rule = B3/S23
50$317bo5b2o$315bo3bo3b3o$319bo5b2obo8bo$314bo5bo4bo2bo6bobo$314b2o9b
2obo5bobo$323b3o7bo2bo11b2o$323b2o9bobo11b2o$335bobo$327bo9bo$325b2o$
326b2o6$318bobo$318b2o$319bo4$312bo$311bobo$256bobo47b2o3bo$256bo3bo
45b2o5b2o$240bo19bo42b2o8bobo4bo$238b4o14bo4bo4b2o27b2o5b3o15bobo$237b
obob2o4bo12bo5b2o27b2o6b2o6bo11b2o$232b2o2bo2bob3o5b2obo3bo3bo45b2o2b
3o10b2o4b2o$232b2o3bobob2o5b4obo2bobo47b2o2bo2b2o8b2o4b2o$238b4o6b2o2b
2o57b4o5bobo$240bo71bo7bo$274b2o28b2o$260b2o11b4o13b2o11b4o$258b2ob2o
10b2ob2o10b2ob2o10b2ob2o$258b4o13b2o11b4o$259b2o28b2o14bo$247b2o56b2o$
246bobo55b2o$248bo57bo22b2o$329bo$256b2o60b2o7bobo$256bobo59bo2bo5b2o$
256bo51bo3b3o7bo$228b2o77b5o3bo6bo$226bo3bo5bo2b3o40b2o22b2ob2o3bo7bo$
220b2o3bo5bo9bo3bo36bo22b3ob2o3bo3bo2bo$220b2o2b2obo3bo8bo4bobo16b2o8b
o5bobo23b2ob4o5b2o$225bo5bo16b2o14bo2bo6bobo3b2o15b2o8b4o$226bo3bo17b
2o9b2o2bo3bo7bobo18bobo9bo$228b2o18b2o8b3o2b2o2bo7bo2bo17bo$245bobo7bo
b2o16bobo17b2o$245bo9bo2bo8b3o4bobo$255bob2o15bo$258b3o$259b2o184$570b
2o$570b2o3$82bo$82b3o487b2o$85bo$84b2o3$568b2o3b2o$569b5o$569b2ob2o$
569b2ob2o$86b3o481b3o$85bo3bo$84bo5bo$84b2obob2o2$573b2o$87bo485bo$86b
obo485b3o$86bobo487bo$87bo2$87b2o$87b2o51$159bo$160bo$158b3o173$339b2o
$337bo3bo$336bo5bo8b2o$335b2obo3bo8b2o$336bo5bo$332b2o3bo3bo$331bobo5b
2o$331bo$330b2o!

Période : 30 x (128²-1) = 491,490.

Here are a few more with maximal periods:


p(30 × (2¹⁵ − 1)) = 983,010:

Code: Select all

x = 147, y = 104, rule = B3/S23
15$106b2o$105bobo$104b3o12bo$95b2o6b3o8b2o3b4o$95b2o7b3o8b2o3b4o$105bo
bo2b2obob2o3bo2bo5b2o$106b2o2b2obobo4b4o5b2o$112b2obo3b4o$119bo3$105bo
$53b2o48b2o$51bo2bo49b2o$50bo15bobo$38bo11bo10b3o2bo3bo55b2o$38b4o8bo
19bo55b2o$22bo16b4o8bo2bo2b2o7bo4bo$21bobo5b2o8bo2bo10b2o2bo2bobo7bo$
19b2o3bo14b4o15b3o5bo3bo3b2o20bobo$14b2o3b2o3bo4bobob2o3b4o24bobo5bobo
19b2o$14b2o3b2o3bo5b2o3bo2bo37bo20bo29bo$21bobo10bo41b2o11bo37bo$22bo
8bo2bo16bo37bobo34bobo$50bo41b2o6b2o23b2ob2o$50b3o25b2o12b2o4bo3bo21bo
5bo$78b2o12b2o3bo5bo23bo$41bo47bobo4b2obo3bo8b2o10b2o3b2o$42bo46bo7bo
5bo8b2o$40b3o55bo3bo$100b2o$67b2o$53b2o11b4o13b2o$51b2ob2o10b2ob2o10b
2ob2o$51b4o13b2o11b4o44b2o$52b2o28b2o45bo$34bo9b2o84b3o$33bobo7b4o85bo
$26b2o4bob2o5b3o2bo2bobo39bo20b2o$26b2o3b2ob2o9b2o2bo2bo37b2o20bo$32bo
b2o6bo9b2o6b2o28bobo8bobo6bobo$33bobo5bo8bo3b2o4b2o37bo3bo6b2o$34bo6bo
10b2o33b2o10bo$49bo2bo34bo2bo7bo4bo$49bobo39bo7bo$62bo28bo7bo3bo$62b3o
26bo9bobo$65bo14b2o5bo2bo$64b2o13bobo5b2o$79bo$78b2o6$66b3o$65bo3bo$
64bo5bo8bo$64bo5bo6bobo$67bo10b2o$65bo3bo$66b3o$67bo3$67b2o$67b2o$94bo
$93bobo$91b2o3bo9b2o$91b2o3bo9b2o$91b2o3bo$87b2o4bobo$86bobo5bo$86bo$
85b2o!

p(30 × (2²² − 1)) = 125,829,090 :

Code: Select all

x = 153, y = 126, rule = B3/S23
18$93bo$92bobo$92b2obo7b2o$80b2o10b2ob2o6bobo$80b2o10b2obob3o6bo$92bob
o2bo2bo2bo2bo7b2o$93bo4b2o6bo7b2o$55bo47bobo$54bobo46b2o$53bo3b2o6b2o$
37b2o14bo3bob2o4bobo22bobo$37bobo13bo3bob3o4b3o21b2o$24bobo13bo13bobob
2o2bo4b3o6b2o13bo$23bo2bo2b2o6bo2bo14bo4b2o4b3o7b2o$22b2o5bobo8bo24bob
o$14b2o4b2o3bo3bo3bo3bobo25b2o$14b2o6b2o5b3ob2o2b2o$23bo2bo3b2o20bo24b
obo5bo$24bobo25bobo20bo3bo6bo$52b2o21bo10bo8bo$68b2o4bo4bo14b4o$40bo
27b2o5bo5bobo9b2obobo$38bobo34bo3bobobo8b3obo2bo2b2o$39b2o36bobobobo9b
2obobo3b2o$82bo11b4o$95bo35b2o$49b2o80b2o$48b4o13b2o$48b2ob2o10b2ob2o
9bo$50b2o11b4o10b2o$64b2o$37b2o39b2o$36b3o3b2obo$26b2o5bob2o5bo3bo2bo
52b2o$26b2o5bo2bo4bo4bo2b2o51bo$33bob2o4b4o5b2o8b2o30bo7bobo29bo$36b3o
3bo7b3o7b2o23b2obo3b4o4b2o29b3o$37b2o11b2o27b2o2b2obobo4b4o33b5o$49b2o
27bobo2b2obob2o3bo2bo32b2o3b2o$49bo27b3o8b2o3b4o33b5o$76b3o8b2o3b4o34b
o3bo$77b3o12bo38bobo$70b2o6bobo51bo$69bobo7b2o$69bo64b2o$68b2o64bo$
135b3o$137bo7$38bo$38b3o$41bo$40bo$40bo2bo$44bo$42bobo$43bo3$40b2o3b2o
$40bobobobo$41b5o$42b3o$43bo7$43b2o52b2o$43b2o53b2o$97bo15$89bo$88b2o$
87b2o4b2o2b2o$86b3o4b2o2b2o$87b2o4b2o$78b2o8b2o$77bobo9bo$77bo$76b2o!

p(30 × (2¹⁵³ − 1)) = 342,539,446,249,430,371,453,988,632,667,878,832,731,859,189,730:

Code: Select all

x = 787, y = 665, rule = B3/S23
34$411b2o$411bo2bo$403b5o7bo9bobo$402bo5bo6bo7bo3bo$402bo3b2o7bo7bo$
403bo7bo2bo7bo4bo8b2o$411b2o10bo12b2o$423bo3bo$414bobo8bobo$414b2o$
415bo3$370bo$370bobo$371bobo7bo26bo$352b2o17bo2bo6b2o23b2o$354bo16bobo
2b2o4b2o23b2o$341b2o12bo14bobo3b2o4b3o7b2o$341b2o4bo7bo14bo5b2o4b2o8b
2o$338b2o5b2o8bo25b2o$330b2o5b3o5bo2b2o4bo26bo$330b2o6b2o6b5ob2o15bo
31b2o$341b2o4bo20bo25bobo6bo$341b2o25b3o22bo2bo4bo$392b2o7b3o7bo$355bo
28b2o4b2o3bo4b2o8bobo$356bo27b2o6b2o5bob2o7b2obo$354b3o36bo2bob2ob2o7b
2ob2o3b2o$394bobo2bobobo6b2obo4b2o$399b4o7bobo$400b2o9bo$379b2o$366bo
11b4o14bo$363b3ob2o9b2ob2o10bo2bo$364b3o13b2o11bo$364b2o27bo2bo$353b2o
40bo$351bo2bo39bo$342b2o6bo7b3o3bo53b2o$342b2o6bo6bo3b5o52bo$350bo7bo
3b2ob2o9b2o29b2o7bobo$351bo2bo3bo3b2ob3o8b2o22bob2o3b3o6b2o$353b2o5b4o
b2o29bo2bo3bo5b2obo$362b4o29b2o2bo4bo4bo2bo$364bo29b2o5b4o4b2obo$393b
3o7bo3b3o$394b2o11b2o$386b2o7b2o$385bobo8bo$385bo$384b2o40$332bobo$
332b2o$333bo182$706b2o$706b2o6$706b2o$706b2o3$707bo$706b3o$705bo3bo$
707bo$704bo5bo$704bo5bo$122bo582bo3bo$122b3o581b3o$125bo$124bo$124bo2b
o$128bo$126bobo$127bo2$709b2o$124b2o3b2o578bo$124bobobobo579b3o$125b5o
582bo$126b3o$127bo7$127b2o$127b2o271$428bo$427b2o$426b2o4b2o2b2o$425b
3o4b2o2b2o$426b2o4b2o$417b2o8b2o$416bobo9bo$416bo$415b2o!

p(30 × (2⁴⁷¹ − 1)) = 182,914,954,120,077,669,807,515,462,683,193,338,227,456,922,421,775,653,370,653,728,103,049,125,321,470,641,803,924,185,726,376,482,685,146,109,245,394,919,310,280,154,824,958,297,967,165,410:

Code: Select all

x = 2317, y = 2053, rule = B3/S23
38$1141b2o$1140bobo$1139bo13bobo$1130b2o7bo2bo6b2o2bo2bo$1130b2o7bo8bo
bo5b2o$1140bobo3bo3bo3bo3b2o4b2o$1141b2o2b2ob3o5b2o6b2o$1148b2o3bo2bo$
1153bobo3$1139bo$1139bobo$1095bobo41b2o$1093bo3bo$1093bo19bo$1085bo6bo
4bo14b4o$1084bobo6bo12bo4b2obobo$1067b2o14bo3b2o4bo3bo3bob2o5b3obo2bo
2b2o10bo$1067bobo13bo3b2o6bobo2bob4o5b2obobo3b2o9bo$1062b2o4b3o12bo3b
2o11b2o2b2o6b4o15b3o$1058b4o2bo4b3o12bobo26bo$1058b3ob2o4b3o7bo6bo$
1067bobo9b2o40b2o$1067b2o9b2o34b3o4b2o$1113b5o6b2o10bo$1093bobo16bobo
3bo5b3o7bobo$1093b2o17b2o3bo6b2o6b2o$1094bo26b2o9b2o12b2o$1121b2o9b2o
12b2o$1085bobo46bobo$1086b2o48bo$1086bo25bo2bo$1098b4o14bo$1097bo3bo
10bo3bo$1101bo11b4o$1097bo2bo$1079b2o9b2o$1079bobo7bobo$1070b2o2b2o6bo
8bo5bo48b2o$1070b2obo2bo2bo2bo13bobo47bo$1074b2o6bo13b2obo4b2o19b3o9b
2o5bobo$1079bobo14b2ob2o3b2o19bo9bo2bo5b2o$1079b2o15b2obo20bo5bo7bo$
1096bobo19b4o12bo$1097bo19bobob2o11bo$1116bo2bob3o11bo2bo$1116b2obob2o
14b2o$1114b3ob4o$1113bobo4bo$1113bo$1112b2o178$922bo$922bobo$922b2o
652$2029b2o$2029b2o3$255bo$255b3o$258bo$257b2o4$2029b3o$2028bo3bo$
2027bo5bo$257b2o3b2o1764bo3bo$257b2o3b2o1765b3o$258b5o1766b3o$259bobo
2$259b3o1770b2o$2032bo$2033b3o$2035bo3$260b2o$260b2o869$1155bo$1154bob
o$1153bob2o10b2o$1152b2ob2o10b2o$1153bob2o$1148b2o4bobo$1147bobo5bo$
1147bo$1146b2o!

Reminder:

- n is the number of bits in the loop.
- S = {n ≥ 2 | Pₙ(x) = (x + 1)ⁿ + x⁽ⁿ⁻¹⁾ is irreducible and primitive over F₂}
- For each n belonging to S: P(n) = 30 × (2ⁿ − 1)

[ray1234]

I really think there is a completion for this one. The sacrificial block could work perfectly IF the block was not off by 2, 2.

Code: Select all

x = 59, y = 31, rule = LifeHistory
12.2A$2A10.2A$2A.A$4.A$.A32.2D$2.A.2A28.2D$4.2A26.2C$32.2C7$25.3A$27.
A$25.3A7$26.2D$26.2D25.2A$24.2D27.2A.A$24.2D31.A$54.A$55.A.2A$45.2A10.
2A$45.2A!

[8than888]

I just found 2 p7 traffic light hasslers!

Code: Select all

x = 38, y = 55, rule = B3/S23
33b2ob2o$34bobo$30bobo4bo$30bo2b4o$30b2o$34bo$27b2o4bobo$18bo8b2o5b2o$
17bobo$12b2o12b4o$6b2o4b2o2b2o3bo3bo4bo$2b2ob2obo9bo3bo2bo4bo$b4obob3o
8bo2bo3b4o$21bo$5b3obob4o12b2o5b2o$7bob2ob2o13b2o4bobo$2b2o4b2o24bo$2b
2o26b2o$30bo2b4o$30bobo4bo$34bobo$33b2ob2o$13b2o$13bo$14bo$11b4o$10bo
4b2o$11b3obobob2o$13bobobobo$17bo2bo$14b3o2b2o2$4bo7b3o$3bobo$3bobo4bo
10b2o2bobo2b2o$2obob2o3bo2b2o6bobobobobobo$ob2o4bobo2bo6bo2bobobobo2bo
$4b3obo12b2obo3bob2o$4bo3bo9bo3bo7bo3bo$5b3o8b2obo13bob2o$16bo2b2o2bo
5bo2b2o2bo$5b2obo8b2o3bobo3bobo3b2o$5bob2o10bo3bo5bo3bo$16b3o15b3o2$
16b3o15b3o$19bo3bo5bo3bo$17b2o3bobo3bobo3b2o$16bo2b2o2bo5bo2b2o2bo$16b
2obo13bob2o$18bo3bo7bo3bo$21b2obo3bob2o$20bo2bobobobo2bo$21bobobobobob
o$21b2o2bobo2b2o!

I searched around a traffic light predecessor and I was able to complete the searcher's partials!