LittleLWSS wrote: July 4th, 2026, 6:45 am
[...]
New task: Find a p2
I already found one:
I6_I6 wrote: July 1st, 2026, 10:47 am
p2 (RLS, will probably occur naturally soon):
Code: Select all
x = 4, y = 4, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2bo$3o$b3o$bo!
[...]
Here are a some more, also found using RLS:
Code: Select all
x = 31, y = 5, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
obobo4bob2o5bo2b2o3bo2b2o$o3bo4bo2bo5bobo5bobo$bobo6b3o6bobo5b3o$o3bo
4bo3bo6bobo5bobo$obobo4bobobo4b2o2bo3b2o2bo!
The last one can support the barberpole wick:
Code: Select all
x = 43, y = 43, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
38bo2b2o$38bobo$39b3o$40bobo$37bobo2bo2$35bobo2$33bobo2$31bobo2$29bob
o2$27bobo2$25bobo2$23bobo2$21bobo2$19bobo2$17bobo2$15bobo2$13bobo2$11b
obo2$9bobo2$7bobo2$5bobo2$o2bobo$obo$b3o$2bobo$2o2bo!
Or turned into an agar:
Code: Select all
x = 40, y = 40, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8:T40,40
2bobo5bobo5bobo5bobo5bobo$bo5bobo5bobo5bobo5bobo5bo$3o5b3o5b3o5b3o5b3o
$bobo5bobo5bobo5bobo5bobo$o5bobo5bobo5bobo5bobo5bo$3bobo5bobo5bobo5bo
bo5bobo$4b3o5b3o5b3o5b3o5b3o$5bobo5bobo5bobo5bobo5bobo$2bobo5bobo5bob
o5bobo5bobo$bo5bobo5bobo5bobo5bobo5bo$3o5b3o5b3o5b3o5b3o$bobo5bobo5bo
bo5bobo5bobo$o5bobo5bobo5bobo5bobo5bo$3bobo5bobo5bobo5bobo5bobo$4b3o5b
3o5b3o5b3o5b3o$5bobo5bobo5bobo5bobo5bobo$2bobo5bobo5bobo5bobo5bobo$bo
5bobo5bobo5bobo5bobo5bo$3o5b3o5b3o5b3o5b3o$bobo5bobo5bobo5bobo5bobo$o
5bobo5bobo5bobo5bobo5bo$3bobo5bobo5bobo5bobo5bobo$4b3o5b3o5b3o5b3o5b3o
$5bobo5bobo5bobo5bobo5bobo$2bobo5bobo5bobo5bobo5bobo$bo5bobo5bobo5bob
o5bobo5bo$3o5b3o5b3o5b3o5b3o$bobo5bobo5bobo5bobo5bobo$o5bobo5bobo5bob
o5bobo5bo$3bobo5bobo5bobo5bobo5bobo$4b3o5b3o5b3o5b3o5b3o$5bobo5bobo5b
obo5bobo5bobo$2bobo5bobo5bobo5bobo5bobo$bo5bobo5bobo5bobo5bobo5bo$3o5b
3o5b3o5b3o5b3o$bobo5bobo5bobo5bobo5bobo$o5bobo5bobo5bobo5bobo5bo$3bob
o5bobo5bobo5bobo5bobo$4b3o5b3o5b3o5b3o5b3o$5bobo5bobo5bobo5bobo5bobo!
Here's the smallest mod 2 p2 I could find (RLS):
Code: Select all
x = 10, y = 9, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
7b2o$5b2o$4bobobo$2o4bo$2bob2o$b3obo2bo$obo3b3o$o3bobo2bo$6b2obo!
EDIT:
Stuff from catagolue (new periods in bold):
The first and second p2s to be discovered, as well as LittleLWSS's oscillators in the post above, the p63 and the p104 have all occurred naturally.
New from C1:
p2:
Code: Select all
x = 6, y = 4, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
ob2o$o2bobo$b3o$bo2b2o!
This p4, which is 2 copies of the first p4 I found interacting non-trivially:
Code: Select all
x = 7, y = 5, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2o3bo$2o3bo$bo3bo$bo3b2o$bo3b2o!
And this variant of the first p4:
Code: Select all
x = 3, y = 5, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2o$2o$bo$b2o$b2o!
And 2 more p4s which are related to LitteLWSS's p4:
Code: Select all
x = 17, y = 4, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2b2obo7b2obo$ob2obo5bob2obo$ob2obo5bob2obo$2b2o7bob2o!
A new
p8 flipper:
Code: Select all
x = 6, y = 8, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2b2o3$o4bo$ob2obo2$bo2bo$2b2o!
New from D4_+2:
Two uninteresting p2s:
Code: Select all
x = 16, y = 8, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2ob2o4b2obob2o$2bo8bobo$obobo4bo5bo$b3o6bo3bo$o3bo5bo3bo$obobo4bo5bo$
11bobo$9b2obob2o!
Big p3:
Code: Select all
x = 8, y = 8, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2b4o2$3b2o$b2o2b2o$o2b2o2bo$o2b2o2bo$bo4bo$2bo2bo!
3 p4s:
Code: Select all
#C Last two are related
x = 22, y = 20, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
4b2o$4b2o$2bo4bo11b3o$15b2o$2o2b2o2b2o5b4ob2o$2o2b2o2b2o5b2o$19b3o$2b
o4bo$4b2o$4b2o6$b3o10b3o$6bob2obo$b2ob10ob2o$6bob2obo$b3o10b3o!
I monomerized the last one:
Code: Select all
x = 10, y = 5, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
o6b3o$obobo$b6ob2o$2bobo$2o5b3o!
p6:
Code: Select all
x = 7, y = 5, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
3bo$ob3obo$2b3o$ob3obo$3bo!
Completely different
p8 flipper:
Code: Select all
x = 6, y = 6, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
2o2b2o$2o2b2o$o4bo$o4bo$o4bo$2o2b2o!
Two dots can hassle a block:
Code: Select all
x = 17, y = 29, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
3o11b3o$bo13bo5$2o11b2o$2o11b2o5$bo13bo$3o11b3o10$bo13bo2$2o11b2o$2o11b
2o2$bo13bo!
I've made p4 and p6 versions:
Code: Select all
x = 17, y = 18, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
b2o10bobo$o2bo$o2bo9b3o$o2bo8b5o$o2bo9b3o$obo$bo11bobo2$b2o8b2o$b2o8b
2o2$bo11bobo$obo$o2bo9b3o$o2bo8b5o$o2bo9b3o$o2bo$b2o10bobo!
New from D8_4:
Four different ring-shaped p2s appeared, and somehow, they all have constant population:
Code: Select all
x = 76, y = 18, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
43bo2b2o2bo$23b2o2b2o12bo2b2o2b2o2bo13bo2bo$6b2o13bobob2obobo11bo8bo12b
2ob2ob2o$4b2o2b2o10bob2o4b2obo7bobo10bobo7b2o8b2o$2b2o6b2o7bo12bo7bo12b
o8bo10bo$2bo8bo8bo10bo6bo16bo5bo12bo$bo10bo5b3o10b3o5bo14bo6bo12bo$bo
10bo5bo14bo5bo14bo5bo14bo$o12bo5bo12bo5bo16bo5bo12bo$o12bo5bo12bo5bo16b
o5bo12bo$bo10bo5bo14bo5bo14bo5bo14bo$bo10bo5b3o10b3o5bo14bo6bo12bo$2b
o8bo8bo10bo6bo16bo5bo12bo$2b2o6b2o7bo12bo7bo12bo8bo10bo$4b2o2b2o10bob
2o4b2obo7bobo10bobo7b2o8b2o$6b2o13bobob2obobo11bo8bo12b2ob2ob2o$23b2o
2b2o12bo2b2o2b2o2bo13bo2bo$43bo2b2o2bo!
They revealed 2 new p2 wicks. Here's a hybrid oval ring using them:
Code: Select all
x = 31, y = 13, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
6bobobobo2b2o2b2o2b2o$4b2obobobob2o2b2o2b2o2b2o$2b2o23b2o$2bo25bo$bo27b
o$bo27bo$o29bo$bo27bo$bo27bo$2bo25bo$2b2o23b2o$4b2obobobob2o2b2o2b2o2b
2o$6bobobobo2b2o2b2o2b2o!
And a small fencepost for both (RLS):
Code: Select all
x = 28, y = 22, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
ob2o12bob2o$o2bo12bo2bo$b3o13b3o$o3bo11bo3bo$obobo11bobobo$5bo15bo$5b
o15bo$6bo15bo$6bo14bo$5bo16bo$5bo15bo$6bo15bo$6bo14bo$5bo16bo$5bo15bo
$6bo15bo$6bo15bo$7bobobo11bobobo$7bo3bo11bo3bo$8b3o13b3o$8bo2bo12bo2b
o$8b2obo12b2obo!
3 unique p4s:
Code: Select all
x = 58, y = 18, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
29b2o15bobob2obobo$4b6o35bo3bo2bo3bo$3bobo2bobo16b2o2b2o11bobo2bo2bo2b
obo$26bo2b2o2bo15b4o$bo3b4o3bo13bo6bo10bo12bo$o12bo10b3o6b3o9b3o6b3o$
2obo6bob2o9bo12bo7bo2bo2b2o2bo2bo$o2bo6bo2bo9bo12bo7bo2bo2b2o2bo2bo$o
2bo6bo2bo7bo2bo10bo2bo6b3o6b3o$2obo6bob2o7bo2bo10bo2bo5bo12bo$o12bo9b
o12bo12b4o$bo3b4o3bo10bo12bo7bobo2bo2bo2bobo$24b3o6b3o9bo3bo2bo3bo$3b
obo2bobo15bo6bo12bobob2obobo$4b6o16bo2b2o2bo$27b2o2b2o2$29b2o!
Then there are these 5 p4 rings that use the same mechanisms as the p2 rings, but with p4 corners:
Code: Select all
x = 102, y = 20, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
65bob2obo18b2o2b2o$23bo2bo35b2o2bo2bo2b2o12b2obob2obob2o$20b2o2b2o2b2o
11b2o2b2o2b2o9bobobo6bobobo8bobob2o4b2obobo$18bobobo4bobobo7bobob2o2b
2obobo9bo10bo12bo10bo$3b2o2b2o11bo8bo11bo8bo8b3o12b3o6b3o12b3o$bobob2o
bobo6b3o10b3o5b3o10b3o5bo16bo6bo16bo$3bo4bo8bo14bo5bo14bo6bo14bo8bo14b
o$3o6b3o6bo12bo7bo12bo5bo18bo4b3o14b3o$o10bo4bo16bo5bo12bo6bo16bo5bo18b
o$bo8bo6bo14bo5bo14bo4bo18bo5bo16bo$bo8bo6bo14bo5bo14bo4bo18bo5bo16bo
$o10bo4bo16bo5bo12bo6bo16bo5bo18bo$3o6b3o6bo12bo7bo12bo5bo18bo4b3o14b
3o$3bo4bo8bo14bo5bo14bo6bo14bo8bo14bo$bobob2obobo6b3o10b3o5b3o10b3o5b
o16bo6bo16bo$3b2o2b2o11bo8bo11bo8bo8b3o12b3o6b3o12b3o$18bobobo4bobobo
7bobob2o2b2obobo9bo10bo12bo10bo$20b2o2b2o2b2o11b2o2b2o2b2o9bobobo6bob
obo8bobob2o4b2obobo$23bo2bo35b2o2bo2bo2b2o12b2obob2obob2o$65bob2obo18b
2o2b2o!
And also this other p4:
Code: Select all
x = 24, y = 24, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
11b2o$10bo2bo$10bo2bo$10bo2bo$10bo2bo$11b2o2$10bo2bo$10b4o2$b4o2b2o6b
2o2b4o$o4bo2bo2b2o2bo2bo4bo$o4bo2bo2b2o2bo2bo4bo$b4o2b2o6b2o2b4o2$10b
4o$10bo2bo2$11b2o$10bo2bo$10bo2bo$10bo2bo$10bo2bo$11b2o!
Turns out it's actually 2 known p4s interacting:
Code: Select all
x = 73, y = 48, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
11b2o26b2o$10bo2bo24bo2bo$10bo2bo24bo2bo$10bo2bo24bo2bo$10bo2bo24bo2b
o$11b2o26b2o2$10bo2bo53b2o$10b4o52b4o2$b4o2b2o6b2o2b4o6b4o14b4o13bo6b
o$o4bo2bo2b2o2bo2bo4bo4bo4bo12bo4bo11b2o2b2o2b2o$o4bo2bo2b2o2bo2bo4bo
4bo4bo12bo4bo11b2o2b2o2b2o$b4o2b2o6b2o2b4o6b4o14b4o13bo6bo2$10b4o52b4o
$10bo2bo53b2o2$11b2o26b2o$10bo2bo24bo2bo$10bo2bo24bo2bo$10bo2bo24bo2b
o$10bo2bo24bo2bo$11b2o26b2o8$11b2o$10bo2bo$10bo2bo$10bo2bo$10bo2bo$11b
2o2$10bo2bo$10b4o2$8bo6bo$7b2o2b2o2b2o$7b2o2b2o2b2o$8bo6bo2$10b4o$11b
2o!
There's a trivial p6 with a new p3 rotor that I don't know how to stabilize:
Code: Select all
x = 10, y = 3, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
bobo2bobo$10o$bobo2bobo!
[[ STOP 3 GPS 2 ]]
And finally, a
p9:
Code: Select all
x = 10, y = 10, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
4b2o$2bob2obo$b2o4b2o$3bo2bo$2o6b2o$2o6b2o$3bo2bo$b2o4b2o$2bob2obo$4b
2o!
EDIT 2:
All 90-degree sidewalker collisions (not organized):
Code: Select all
x = 65, y = 247, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
29bo$28bo$28b3o3$36b2o$36b2o$37bo7$29bo$28bo$28b3o3$35b2o$35b2o$36bo9$
29bo$28bo$28b3o2$36b2o$36b2o$37bo8$29bo$28bo$28b3o2$35b2o$35b2o$36bo9$
29bo$28bo$28b3o$36b2o$36b2o$37bo9$29bo$28bo$28b3o$35b2o$35b2o$36bo10$
29bo$28bo$28b3o5b2o$36b2o$37bo10$29bo$28bo$28b3o4b2o$35b2o$36bo11$bo7b
o18bo26bo$o9bo16bo7b2o17bo7b2o$3o5b3o16b3o5b2o17b3o5bobo$36bo25bo11$b
o6bo19bo26bo$o8bo17bo6b2o18bo6b2o$3o4b3o17b3o4b2o18b3o4bobo$35bo25bo11$
9bo$bo8bo17bo6b2o$o7b3o16bo7b2o$3o24b3o6bo11$8bo$bo7bo18bo5b2o$o6b3o17b
o6b2o$3o24b3o5bo9$9bo$10bo24b2o25b2o$bo6b3o17bo6b2o18bo6bobo$o26bo8bo
17bo7bo$3o24b3o24b3o10$8bo$9bo24b2o25b2o$bo5b3o18bo5b2o19bo5bobo$o26b
o7bo18bo6bo$3o24b3o24b3o10$9bo$10bo24b2o25b2o$8b3o24b2o25bobo$bo26bo7b
o18bo6bo$o26bo26bo$3o24b3o24b3o9$8bo$9bo24b2o25b2o$7b3o24b2o25bobo$bo
26bo6bo19bo5bo$o26bo26bo$3o24b3o24b3o8$9bo$10bo24b2o25b2o$8b3o24b2o25b
obo$36bo25bo$bo26bo26bo$o26bo26bo$3o24b3o24b3o8$8bo$9bo24b2o25b2o$7b3o
24b2o25bobo$35bo25bo$bo26bo26bo$o26bo26bo$3o24b3o24b3o!
And all 180-degree collisions:
Code: Select all
x = 56, y = 97, rule = B34aintw5n6an7e8/S1e3aceir4aeintwz5n6-e7e8
10bo$11bo21b2o18b2o$9b3o21b2o18bobo$34bo18bo$3o21b3o17b3o$o23bo19bo$b
o23bo19bo8$10bo$11bo21b2o18b2o$9b3o21b2o18bobo$34bo18bo2$3o21b3o17b3o
$o23bo19bo$bo23bo19bo7$10bo$11bo21b2o18b2o$9b3o21b2o18bobo$34bo18bo3$
3o21b3o17b3o$o23bo19bo$bo23bo19bo5$10bo$11bo21b2o18b2o$9b3o21b2o18bob
o$34bo18bo4$3o21b3o17b3o$o23bo19bo$bo23bo19bo5$10bo$11bo21b2o18b2o$9b
3o21b2o18bobo$34bo18bo5$3o21b3o17b3o$o23bo19bo$bo23bo19bo5$10bo$11bo21b
2o18b2o$9b3o21b2o18bobo$34bo18bo6$3o21b3o17b3o$o23bo19bo$bo23bo19bo3$
10bo$11bo21b2o18b2o$9b3o21b2o18bobo$34bo18bo7$3o21b3o17b3o$o23bo19bo$
bo23bo19bo!