amling wrote: ↑August 12th, 2023, 11:49 am
Here is something perhaps more uplifting, a p5 oscillator:
This gives a nontrivial p20 LCM oscillator (shown with two different possible positions for the p4):
Code: Select all
x = 43, y = 40, rule = B2/S
12bo$11bo$11b3o4bobo6bobo$11bo9bo4bo$12bo2bo16bo$19b4o2b4o$20bo6bo$16b
obobo6bobobo$11bo2bo3b2o8b2o3bo2bo2$14bo4bo8bo4bo$o10bobo20bobo$bo5bo
8bobo10bobo8bo$10bo4bo16bo4bo$bo$o4bo4b2o3bo2bo10bo2bo3b2o4bo$8bo2bobo
20bobo2bo$5bo2b3o26b3o2bo$6bobo30bobo$8bo30bo3$8bo30bo$6bobo30bobo$5bo
2b3o26b3o2bo$8bo2bobo20bobo2bo$5bo4b2o3bo2bo10bo2bo3b2o4bo2$10bo4bo16b
o4bo$7bo8bobo10bobo8bo$11bobo20bobo$14bo4bo8bo4bo2$11bo2bo3b2o8b2o3bo
2bo$16bobobo6bobobo$20bo6bo$19b4o2b4o$15bo16bo$21bo4bo$18bobo6bobo!
amling wrote: ↑August 11th, 2023, 12:42 pm
amling wrote: ↑July 17th, 2023, 1:03 pm
I'm gonna go look at 3c/5 more seriously now...
LLSSS recentering run on my somewhat beefier computer with 120G of RAM was able to produce some rather long partials, but alas did not find any completions.
Incredible partial results! Do we still not have an orthogonal spaceship in a Life-like automata without B0 with speed strictly between c/2 and c and not equal to 2c/3? It might be worth searching some other rules with LLSSS for such ships.
Coolberry wrote: ↑August 22nd, 2023, 7:43 am
Anyone know this puffer that i found yesterday?
If you haven't already, you should check
Jason Summers' seeds pattern collection. In this case I didn't see your two puffers, but there are different puffers in the collection that have the same output.
Edit (26 Aug 2023): here is an obnoxiously large nontrivial p15 LCM oscillator found with JLS:
Code: Select all
x = 110, y = 86, rule = B2/S
14bo10bo2$17bo4bo$14bo10bo$13bobo8bobo$12bo4bo4bo4bo$10bo2b4obo2bob4o
2bo$9bo5bo8bo5bo$12bo2bobo4bobo2bo$7bo5bo2bo6bo2bo5bo$6bo26bo$15bo8bo$
5bo2bo5bo10bo5bo2bo$4bobo2bo20bo2bobo$o2bo2bo5bo14bo5bo2bo2bo$4bob3o2b
o16bo2b3obo$6bo2bo20bo2bo$2bo2bo2bo22bo2bo2bo$6bo26bo2$49bo38bo$6bo26b
o8bo4bo42bo4bo$2bo2bo2bo22bo2bo2bo6bo2bo6bo28bo6bo2bo$6bo2bo20bo2bo10b
o7bo32bo7bo$4bob3o2bo16bo2b3obo9b2o3bobobo28bobobo3b2o$o2bo2bo5bo14bo
5bo2bo2bo6b2o3bobo6bo16bo6bobo3b2o$4bobo2bo20bo2bobo11bo9bo4bo6bo5bo4b
o9bo$5bo2bo5bo10bo5bo2bo6bo2bo3bo4bo3bo4bo3bo4bo3bo4bo3bo4bo3bo2bo$15b
o8bo19b2obo5bo5bo6bo4bo6bo5bo5bob2o$6bo26bo17bo16bo17bo$7bo5bo2bo6bo2b
o5bo$12bo2bobo4bobo2bo12bobo3bo44bo3bobo$9bo5bo8bo5bo15bo44bo$10bo2b4o
bo2bob4o2bo6bo2bob2o5bo40bo5b2obo2bo$12bo4bo4bo4bo9bo4bo52bo4bo$13bobo
8bobo10b3o58b3o$14bo10bo7bo9b2o48b2o9bo$17bo4bo12bo4bo27bo28bo4bo$33bo
bo11bo5bo7bo4bo4bo4bo7bo5bo11bobo$14bo10bo8b5o3bo4bo2bo4bo7bo2bo4bo2bo
7bo4bo2bo4bo3b5o$29bobo5bobo5bo4bo4bo2bo4bo5bo4bo4bo2bo4bo4bo5bobo5bob
o$32bo4bo14bo5bo20bo5bo14bo4bo$30bo8bo20bo16bo20bo8bo$29b3obobo66bobob
3o$37bo62bo$28bobo2b2o2bo62bo2b2o2bobo$32bobobo64bobobo$34bo4bo58bo4bo
$32bo72bo2$37bo2bo56bo2bo$38bo60bo$38bo60bo$39bo58bo$39bo58bo$37bo2bo
56bo2bo2$32bo72bo$34bo4bo58bo4bo$32bobobo64bobobo$28bobo2b2o2bo62bo2b
2o2bobo$37bo62bo$29b3obobo66bobob3o$30bo8bo20bo16bo20bo8bo$32bo4bo14bo
5bo20bo5bo14bo4bo$29bobo5bobo5bo4bo4bo2bo4bo5bo4bo4bo2bo4bo4bo5bobo5bo
bo$34b5o3bo4bo2bo4bo7bo2bo4bo2bo7bo4bo2bo4bo3b5o$33bobo11bo5bo7bo4bo4b
o4bo7bo5bo11bobo$35bo4bo27bo28bo4bo$33bo9b2o48b2o9bo$37b3o58b3o$37bo4b
o52bo4bo$36bo2bob2o5bo40bo5b2obo2bo$46bo44bo$40bobo3bo44bo3bobo2$51bo
16bo17bo$44b2obo5bo5bo6bo4bo6bo5bo5bob2o$41bo2bo3bo4bo3bo4bo3bo4bo3bo
4bo3bo4bo3bo2bo$47bo9bo4bo6bo5bo4bo9bo$46b2o3bobo6bo16bo6bobo3b2o$45b
2o3bobobo28bobobo3b2o$44bo7bo32bo7bo$44bo2bo6bo28bo6bo2bo$42bo4bo42bo
4bo$49bo38bo!
This also gives a nontrivial p12 LCM oscillator, but Lazy Boi already posted a much more interesting p12
here.
Edit 2 (26 Aug 2023): p8 oscillator found with JLS and inspired by the linked p12:
Code: Select all
x = 36, y = 15, rule = B2/S
9bo16bo$8bo18bo$8b3o14b3o$8bo2bo12bo2bo$5bo10bo2bo10bo$o11bo4b2o4bo11b
o$bo3bo24bo3bo$12bo10bo$bo3bo9bob2obo9bo3bo$o11bo10bo11bo$5bo24bo$8bo
2bo12bo2bo$8b3o14b3o$8bo18bo$9bo16bo!
Edit 3 (26 Aug 2023): much smaller p8 oscillators found with JLS:
Code: Select all
x = 17, y = 31, rule = B2/S
2bo$bo$4bo2bobo$3bo3bobo5bo$14bo$14b3o$7bo6bo$3bo5bo5bo$4bo$bo$2bo4bo
10$bo10bo$o12b2o$3bo2bobo4b2o$2bo3bobo6bo3$6bo$2bo5bo6bo$3bo9b2o$o12b
2o$bo4bo5bo!
Edit 4 (28 Aug 2023): one of the new p8 oscillators can interact with the p5 to give a nontrivial p40 LCM oscillator:
Code: Select all
x = 51, y = 40, rule = B2/S
25bo10bo2$28bo4bo$3bo3bo17bo10bo$b2o5b2o14bobo8bobo$b2o5b2o13bo4bo4bo
4bo$o9bo10bo2b4obo2bob4o2bo$20bo5bo8bo5bo$3bo3bo15bo2bobo4bobo2bo$18bo
5bo2bo6bo2bo5bo$2bo4b4o6bo26bo$26bo8bo$3bo5bo6bo2bo5bo10bo5bo2bo$6bo8b
obo2bo20bo2bobo$11bo2bo2bo5bo14bo5bo2bo2bo$15bob3o2bo16bo2b3obo$3bo3bo
9bo2bo20bo2bo$4bobo6bo2bo2bo22bo2bo2bo$17bo26bo3$17bo26bo$13bo2bo2bo
22bo2bo2bo$17bo2bo20bo2bo$15bob3o2bo16bo2b3obo$11bo2bo2bo5bo14bo5bo2bo
2bo$15bobo2bo20bo2bobo$16bo2bo5bo10bo5bo2bo$26bo8bo$17bo26bo$18bo5bo2b
o6bo2bo5bo$23bo2bobo4bobo2bo$20bo5bo8bo5bo$21bo2b4obo2bob4o2bo$23bo4bo
4bo4bo$24bobo8bobo$25bo10bo$28bo4bo2$25bo10bo!
I'm sure it's possible to construct a p3 sparker to make a nontrivial p24, but the current p3s don't seem to work.