Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
8than888
Posts: 82
Joined: June 10th, 2026, 11:41 am

Re: Oscillator Discussion Thread

Post by 8than888 »

Is this p12 sparker/eater known?

Code: Select all

x = 33, y = 15, rule = B3/S23
29bo$2o3b2o17bo3bobo$bobobo3bo2bo6b2o3bo4bo$b2ob2o2b2o3b2o4b2o2bobo$bo
bobo3bo2bo6b2o3bo$2o3b2o17bo2$29b2o$25b2obo$25b2o2bo2bo$30bobo$31bo2$
30b2o$30b2o!
I was experimenting with a known p12 traffic light shuttle, and when I made it push a beehive, I noticed that it can eat a dot and a block:

Code: Select all

x = 32, y = 34, rule = B3/S23
22bo$20b2o$o3bo23bo$5o18bo3bobo$2bo4bobob2o5b2ob2obo3bo$bobo5bob3o3bo
2bo4bo$2bo4bobob2o5b2ob2obo$5o18bo$o3bo$25b4o$24bo4bo$24bo3bobo$25bo3b
obo$31bo$31bo$28bo2bo$29b2o$21b2o$21b2o$o3bo23bo$5o18bo3bobo$2bo4bobob
2o5b2ob2obo3bo$bobo5bob3o3bo2bo4bo$2bo4bobob2o5b2ob2obo$5o18bo$o3bo$
25b4o$24bo4bo$24bo3bobo$25bo3bobo$31bo$31bo$28bo2bo$29b2o!
I didn't see it in the sparker stamp collection.

I know that traffic light shuttles and beehive/loaf mechanisms can make more sparkers, like what I did with my newest p11 domino sparker, so what other low-period reactions or rephasable-looking mechanisms can be turned into useful sparkers? So far I know the beehive/loaf, interchange, sandwich, bi-block reaction, grin, pipsquirter catalyst, the reaction in the p16 beehive hassler, ship+eater, and two-blinkers-to-domino reaction are useful low-period reactions.
period 2 expert
User avatar
Entity Valkyrie 2
Posts: 2140
Joined: February 26th, 2019, 7:13 pm
Contact:

Re: Oscillator Discussion Thread

Post by Entity Valkyrie 2 »

8than888 wrote: October 24th, 2026, 9:03 pm Is this p12 sparker/eater known?
I didn't see it in the sparker stamp collection.
in Weak Dot, there is this variant:

Code: Select all

x = 18, y = 19, rule = B3/S23
15b2o$15bobo$12b2obobo$4bo7bobobo$3bo2bo7bo$2bo4bo4bo2bo$3b2o3bo6bo$6b
obo2bo3bo$8bo2bo3bo$15bo$12bo2bo$3b4o7bo$2bo4bo4bobobo$bobo3bo4b2obobo
$obo3bo8bobo$o14b2o$o$o2bo$b2o!
Bx222 IS MY WORST ENEMY.

HyperConway — explore cellular automata on HyperRogue's hyperbolic tiling

Creator of the rule StateInvestigator
Please click here for my own pages (and oscillator stamp collections)
User avatar
KtT
Posts: 625
Joined: December 17th, 2022, 9:29 am

Re: Oscillator Discussion Thread

Post by KtT »

Period1GliderGun wrote: October 24th, 2026, 4:22 am smaller p17 bumper:

Code: Select all

x = 98, y = 82, rule = B3/S23
44b2o22b2o$45bo22bo$45bobo18bobo$46b2o18b2o2$50b2o10b2o$42b2o5b2o12b2o
5b2o$43bo7bo10bo7bo$43bobo22bobo$44b2o22b2o$50b3o8b3o$47bob2obo8bob2o
bo$38b2o10bo12bo10b2o$38bo36bo$35b2obo36bob2o$34bobob2o5b2o20b2o5b2ob
obo$33bo6bo4b2o20b2o4bo6bo$32bo4b3o10b2o10b2o10b3o4bo$31bo4bo2bobo8b2o
10b2o8bobo2bo4bo$30bo4bobo38bobo4bo$30b2o2bobo40bobo2b2o$33bobo10bo20b
o10bobo$28b4obo10bob2obo14bob2obo10bob4o$28bo2bob2o9b3o20b3o9b2obo2bo
$32bo18b2o8b2o18bo$34bo16bobo6bobo16bo$22bo20bo9bo6bo9bo20bo$22b3o17b
o10b2o4b2o10bo17b3o$16bo8bo12b2o34b2o12bo8bo$16b3o5b2o5b2o6bo34bo6b2o
5b2o5b3o$19bo11b2o4b3o34b3o4b2o11bo$18b2o7bo10bo36bo10bo7b2o2$22bo4bo
10bo36bo10bo4bo$21b2o3b3o4b2o44b2o4b3o3b2o$21bobo2bo6b2o5b2o30b2o5b2o
6bo2bobo$26b2o12bo32bo12b2o$41b3o26b3o$43bo26bo$21bo4$43bo26bo$41b3o26b
3o$14b2o10b2o12bo32bo12b2o$6b2o6b2o5bobo2bo6b2o5b2o30b2o5b2o6bo2bobo$
7bo13b2o3b3o4b2o44b2o4b3o3b2o$7bobo12bo4bo10bo36bo10bo4bo$o7b2o3b3o$3o
9bob2o11bo10bo36bo10bo7b2o$3bo8bo3bo14b2o4b3o34b3o4b2o11bo$2b2o9b2obo
7b2o5b2o6bo34bo6b2o5b2o5b3o$13b3o9bo12b2o34b2o12bo8bo$7bo11b2ob3o17bo
10b2o4b2o10bo17b3o$6bobo10b2obo20bo9bo6bo9bo20bo$6bo2bo3b2o19bo16bobo
6bobo16bo$7b2o4b2o4b6o7bo18b2o8b2o18bo$18bo6bo2bo2bob2o9b3o20b3o9b2ob
o2bo$16b3obobobo3b4obo10bob2obo14bob2obo10bob4o$15bo3b2ob2o9bobo10bo20b
o10bobo$3b2o11b2o3bo8b2o2bobo40bobo2b2o$2bobo13b2obo8bo4bobo38bobo4bo
$4bo13bobo10bo4bo2bobo8b2o10b2o8bobo2bo4bo$32bo4b3o10b2o10b2o10b3o4bo
$33bo6bo4b2o20b2o4bo6bo$34bobob2o5b2o20b2o5b2obobo$35b2obo36bob2o$38b
o36bo$38b2o10bo12bo10b2o$47bob2obo8bob2obo$50b3o8b3o$44b2o22b2o$43bob
o22bobo$43bo7bo10bo7bo$42b2o5b2o12b2o5b2o$50b2o10b2o2$46b2o18b2o$45bo
bo18bobo$45bo22bo$44b2o22b2o!
Smaller:

Code: Select all

x = 116, y = 85, rule = B3/S23
113bobo$113b2o$114bo$28b2o22b2o$29bo22bo$29bobo18bobo$30b2o18b2o2$33b
o14bo57bo$26b2o26b2o48b2o$27bo26bo50b2o$27bobo3b3o10b3o3bobo$28b2o2bo
3bo8bo3bo2b2o$31bo5bo6bo5bo$31bo5bo6bo5bo$22b2o7bo5bo6bo5bo7b2o$22bo9b
o3bo8bo3bo9bo$19b2obo10b3o10b3o10bob2o33bobo$18bobob2o5b2o20b2o5b2obo
bo32b2o$17bo11b2o20b2o11bo32bo$16bo4b3o10b2o10b2o10b3o4bo$15bo4bo2bo10b
2o10b2o10bo2bo4bo$14bo4bobo7b3o18b3o7bobo4bo$14b2o2bobo7bo3bo16bo3bo7b
obo2b2o$17bobo7bo5bo14bo5bo7bobo$12b4obo9bo5bo14bo5bo9bob4o$12bo2bob2o
8bo5bo14bo5bo8b2obo2bo$28bo3bo2b2o8b2o2bo3bo$29b3o3bobo6bobo3b3o$6bo30b
o6bo30bo$6b3o12b3o13b2o4b2o13b3o12b3o$o8bo10bo3bo32bo3bo10bo5b2o4b2o$
3o5b2o5b2o2bo5bo30bo5bo2b2o5b2o4b2o3bo2bo$3bo11b2o2bo5bo30bo5bo2b2o17b
obo$2b2o6b3o6bo5bo30bo5bo6b3o7bo5bo$9bo3bo6bo3bo32bo3bo6bo3bo6b2o$5bo
2bo5bo6b3o34b3o6bo5bo7bo7b2o$8bo5bo2b2o44b2o2bo5bo6bo8bo$8bo5bo2b2o5b
2o30b2o5b2o2bo5bo7b3o6b3o$9bo3bo10bo32bo10bo3bo10bo8bo$10b3o12b3o26b3o
12b3o$27bo26bo5$27bo26bo$10b3o12b3o26b3o12b3o$9bo3bo10bo32bo10bo3bo$8b
o5bo2b2o5b2o30b2o5b2o2bo5bo$8bo5bo2b2o44b2o2bo5bo$5bo2bo5bo6b3o34b3o6b
o5bo2bo$9bo3bo6bo3bo32bo3bo6bo3bo$2b2o6b3o6bo5bo30bo5bo6b3o6b2o$3bo11b
2o2bo5bo30bo5bo2b2o11bo$3o5b2o5b2o2bo5bo30bo5bo2b2o5b2o5b3o$o8bo10bo3b
o32bo3bo10bo8bo$6b3o12b3o13b2o4b2o13b3o12b3o$6bo30bo6bo30bo$29b3o3bob
o6bobo3b3o$28bo3bo2b2o8b2o2bo3bo$12bo2bob2o8bo5bo14bo5bo8b2obo2bo$12b
4obo9bo5bo14bo5bo9bob4o$17bobo7bo5bo14bo5bo7bobo$14b2o2bobo7bo3bo16bo
3bo7bobo2b2o$14bo4bobo7b3o18b3o7bobo4bo$15bo4bo2bo10b2o10b2o10bo2bo4b
o$16bo4b3o10b2o10b2o10b3o4bo$17bo11b2o20b2o11bo$18bobob2o5b2o20b2o5b2o
bobo$19b2obo10b3o10b3o10bob2o$22bo9bo3bo8bo3bo9bo$22b2o7bo5bo6bo5bo7b
2o$31bo5bo6bo5bo$31bo5bo6bo5bo$28b2o2bo3bo8bo3bo2b2o$27bobo3b3o10b3o3b
obo$27bo26bo$26b2o26b2o$33bo14bo2$30b2o18b2o$29bobo18bobo$29bo22bo$28b
2o22b2o!
8than888
Posts: 82
Joined: June 10th, 2026, 11:41 am

Re: Oscillator Discussion Thread

Post by 8than888 »

I just found a p10 B hassler!

Code: Select all

x = 26, y = 31, rule = B3/S23
6bo$5bobo$5bobo$ob2obob2o$2obobo2bo$5bobo$4bo2bo16b2o$4b2o8bo4bo3bobo$
7bo5bobo2bobobobo$4b4o6bo3bo$3bo13bob2obob2o$4b4o8bob3o4bo$7bo12bo4bo$
4b2o10bo4bo$4bo2bo6bo4b2o$5bobo4b4o$2obobo2bo4bob2o$ob2obob2o$5bobo$5b
obo$6b2ob2o3bo3b2o$8bo2bo2b2o3bo$8bob2o7bobo$7b2obo9b2o$7bo2bo$9b2obob
2o2bo$11bobob4o$11bobo$12bob3o$13bo2bo$14b2o!
I noticed that a B can turn into the same traffic light predecessor in my p10 pi hassler, and then noticed that a block that just got eaten can actually turn it back! The hassler is almost rephasable at p11. It just needs a good dot sparker or other reaction:

Code: Select all

x = 22, y = 25, rule = B3/S23
12b2o$12bo$9b2obo6bo$4bo6bo7bo$3bobobo7b2ob3o$3bobobo7b2ob2o$2obobobo
10b3o$ob2ob2obo2bo7bo$4bo5bo2b3o3bo$4bob4o3bo2bo$5bo11bo$7bo$6b2o$14bo
bob2o$14b2o3bo$5bo13bobo$5b3o12b2o$8bo2b2o$7bo2bob2o$7b3o2b2o$13bobo$
9b2o3bobo$9bo5bo$7bobo$7b2o!
period 2 expert
Timelord Missionary
Posts: 292
Joined: May 8th, 2022, 8:20 pm

Re: Oscillator Discussion Thread

Post by Timelord Missionary »

8than888 wrote: October 25th, 2026, 8:11 pm I just found a p10 B hassler!

Code: Select all

x = 26, y = 31, rule = B3/S23
6bo$5bobo$5bobo$ob2obob2o$2obobo2bo$5bobo$4bo2bo16b2o$4b2o8bo4bo3bobo$
7bo5bobo2bobobobo$4b4o6bo3bo$3bo13bob2obob2o$4b4o8bob3o4bo$7bo12bo4bo$
4b2o10bo4bo$4bo2bo6bo4b2o$5bobo4b4o$2obobo2bo4bob2o$ob2obob2o$5bobo$5b
obo$6b2ob2o3bo3b2o$8bo2bo2b2o3bo$8bob2o7bobo$7b2obo9b2o$7bo2bo$9b2obob
2o2bo$11bobob4o$11bobo$12bob3o$13bo2bo$14b2o!
I noticed that a B can turn into the same traffic light predecessor in my p10 pi hassler, and then noticed that a block that just got eaten can actually turn it back! The hassler is almost rephasable at p11. It just needs a good dot sparker or other reaction:

Code: Select all

x = 22, y = 25, rule = B3/S23
12b2o$12bo$9b2obo6bo$4bo6bo7bo$3bobobo7b2ob3o$3bobobo7b2ob2o$2obobobo
10b3o$ob2ob2obo2bo7bo$4bo5bo2b3o3bo$4bob4o3bo2bo$5bo11bo$7bo$6b2o$14bo
bob2o$14b2o3bo$5bo13bobo$5b3o12b2o$8bo2b2o$7bo2bob2o$7b3o2b2o$13bobo$
9b2o3bobo$9bo5bo$7bobo$7b2o!
Apparently, anything with a good ol' three-cell row, such as a glider, will do.

Code: Select all

x = 74, y = 25, rule = B3/S23
12b2o24b2o24b2o$12bo25bo25bo$10bobo23bobo23bobo$4bo5b2o4bo13bo5b2o18b
o5b2o$3bobo9bo13bobo8bo3bo10bobo9bo2bo$3bobob2o6b3o11bobob2o6b3o11bob
ob2o6b3o$2obobob2o17b2obobob2o17b2obobob2o$ob2ob3o6bo11bob2ob3o6bo11b
ob2ob3o6bo$4bo5bob4o14bo5bob4o14bo5bob4o$4bob4o3bob2o13bob4o3bob2o13b
ob4o3bob2o$5bo25bo25bo$7bo25bo25bo$6b2o24b2o24b2o$14bo3b2o20bo3b2o20b
o3b2o$14b2o3bo20b2o3bo20b2o3bo$5bo13bobo9bo13bobo9bo13bobo$5b3o12b2o9b
3o12b2o9b3o12b2o$8bo2b3o20bo2b3o20bo2b3o$7bo2bo22bo2bo22bo2bo$7b3obo21b
3obo21b3obo$10bob2obo20bob2obo20bob2obo$9b2o3bobo18b2o3bobo18b2o3bobo
$9bo5bo19bo5bo19bo5bo$7bobo23bobo23bobo$7b2o24b2o24b2o!
However, because p11 doesn't allow for gliders, really, and even though this is a novel way to turn a traffic light sequence into itself, the eater doesn't give much room to turn it back, so I still like the way you discovered, 8than888.
Last edited by Timelord Missionary on October 25th, 2026, 9:36 pm, edited 1 time in total.
Helloshe, I like pentadecathlons and small-period motifs.
I may not be very skilled in search programs, but I have many ideas.
Soli Deo Gloria!
LWSSONHWSSONLWSS
Posts: 420
Joined: July 20th, 2024, 9:51 am

Re: Oscillator Discussion Thread

Post by LWSSONHWSSONLWSS »

Almost a completion with diamondback

Code: Select all

x = 24, y = 28, rule = B3/S23Investigator
20.2A$19.A.A$13.A5.A$12.A.A3.2A$12.AD$10.A.AE2.6A$4.A5.2A6.A2.A$3.A.A
9.A4.A$3.A.A.2A5.E3A3.3A$2A.A.A.2A14.A$A.2A.3A6.A$4.A5.A.4A$4.A.4A3.A
.2A$5.A$7.A$6.2A$14.A3.2A$14.2A3.A$5.A13.A.A$5.3A12.2A$8.A2.3A$7.A2.A
$7.3A.A$10.A.2A.A$9.2A3.A.A$9.A5.A$7.A.A$7.2A!
Please click this okay?
Image
8than888
Posts: 82
Joined: June 10th, 2026, 11:41 am

Re: Oscillator Discussion Thread

Post by 8than888 »

I just found a p52 pi hassler/shuttle!

Code: Select all

    
x = 24, y = 60, rule = B3/S23
20b2o$20bo$6b2o10bobo$5bobo6b2o2b2o$5bo8b2o6b2o$ob2ob2o14bobo$2obo17bo
$3bo16b2o$3b2o5bo$9b2o$9b2o$11bo2$7b3o$7b2o9b3o$4b2ob2o10b3o$3b3o2bo$
3b2o4bo$8b2o4b2o$7b2o5bo$15b3o$17bo5$2o$2o$7bo$6b2o$5b2obo$5bo$2o5bo$
2o2b2o5$17bo$15b3o$14bo$14b2o3$8b3o8b3o$7bo3bo6b3o2$8bobo$7bo2bo$6b2o
4b2o$9bo2bo$3b2o4bobo$3bo16b2o$2obo3b2o3bo8bo$ob2ob2o2b3o9bobo$5bo8b2o6b2o$5bobo6b2o2b2o$6b2o10bobo$20bo$20b2o!
I was trying to flip a pi again, but I accidentally put a block in the wrong place and it made the pi actually flip! I first found a 28-cell solution in LifeInvestigator:

Code: Select all

    
x = 10, y = 20, rule = LifeInvestigator    
9.A$8.2A$5.D2.2A$8.A3$2A4.A$2A3.3A$5.A.A4$2A$2A3$8.A$5.D2.2A$8.2A$9.A!    
And I was able to complete it with 2 Tub-with-tail eaters activated by 2 p52 glider guns. I just reduced it to 161 cells with 2 p52 LoM hasslers!
period 2 expert
WhiteHawk
Posts: 1500
Joined: July 10th, 2024, 5:34 pm

Re: Oscillator Discussion Thread

Post by WhiteHawk »

8than888 wrote: Yesterday, 11:04 pm I just found a p52 pi hassler/shuttle!

Code: Select all

    
Trans version

Code: Select all

x = 35, y = 60, rule = B3/S23
31b2o$31bo$17b2o10bobo$16bobo6b2o2b2o$16bo8b2o6b2o$11bob2ob2o14bobo$11b
2obo17bo$14bo16b2o$14b2o5bo$20b2o$20b2o$22bo2$18b3o$18b2o9b3o$15b2ob2o
10b3o$14b3o2bo$14b2o4bo$19b2o4b2o$18b2o5bo$26b3o$28bo5$11b2o$11b2o$16b
o$16b2o$15bob2o$18bo$16bo5b2o$18b2o2b2o5$6bo$6b3o$9bo$8b2o3$2b3o8b3o$
3b3o6bo3bo2$13bobo$13bo2bo$10b2o4b2o$11bo2bo$12bobo4b2o$2b2o16bo$2bo8b
o3b2o3bob2o$obo9b3o2b2ob2obo$2o6b2o8bo$4b2o2b2o6bobo$3bobo10b2o$3bo$2b
2o!
Serving currently as something of a stenographer within this community, mostly reducing the occasional gun, synthesis reduction, or providing discovery commentary. Will get software to begin searches eventually.

Pseudastur albicollis
User avatar
Period1GliderGun
Posts: 1206
Joined: March 9th, 2022, 1:50 am
Location: Everywhere you look
Contact:

Re: Oscillator Discussion Thread

Post by Period1GliderGun »

Sokwe wrote: October 24th, 2026, 7:37 pm Let me know if I missed any...
there is this p48 (also completed by me) that I put on the discord a while ago but may not have made it here:

Code: Select all

x = 40, y = 68, rule = B3/S23
24b2o9b2o$25bo9bo$24bo11bo$24b2o9b2o$25bo4bo4bo$22b3ob9ob3o$21bo2bo3b
obobo3bo2bo$21b2o15b2o$27b2o3b2o2$25b2ob2ob2ob2o$24bo5bo5bo$24b2obo5b
ob2o2$30bo3$28b3o$21b2o4bo3bo$21bobo3bo3bo3b2o$22bobo2bo6bo2bo$17b2o4b
o4b3o4bobo$17b2o14b2obo$33b3o$25b2o6b2o$25bo$20b2o4b3o$5bo3b2o9b2o6bo
$bo2bobobo2bo$b4obob2obo$6bo2bob2o$b3obobo4bo6bo$o4bobobobo7bo$2o2b2o
bobobo7bo$5b3obobo7bo$4bo4bobo7bo$4b2obobo2bo6bo$7bobob2o$4b3o2bobo$4b
o4bobo$10bo9b2o6bo$20b2o4b3o$25bo$25b2o6b2o$33b3o$17b2o14b2obo$17b2o4b
o4b3o4bobo$22bobo2bo6bo2bo$21bobo3bo3bo3b2o$21b2o4bo3bo$28b3o3$30bo2$
24b2obo5bob2o$24bo5bo5bo$25b2ob2ob2ob2o2$27b2o3b2o$21b2o15b2o$21bo2bo
3bobobo3bo2bo$22b3ob9ob3o$25bo4bo4bo$24b2o9b2o$24bo11bo$25bo9bo$24b2o
9b2o!
I don't know the date because I don't use my discord account anymore.
Currently on another planet.

Code: Select all

x = 36, y = 9, rule = B3/S23
23bobo$21bo3bo$13bo7bo$12b4o4bo4bo8b2o$11b2obobo4bo12b2o$2o8b3obo2bo3b
o3bo$2o9b2obobo6bobo$12b4o$13bo!
[[ STEP 30 ]]
Post Reply