Here is a soup to give you a handle on them:
Code: Select all
x = 100, y = 100, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
bob2ob2obob5ob3ob5o2b2obo4b2o3bo2bo4bob3o3bo2bob2o2bobobo2bo2b4o2b2obo
bo3b2obo3b2o$o4b3o2b2o2bobo4b5ob2o2bobob8o2b2o4bo3bob2o2b2obob5obob4ob
o4b3o2bo2bob4o$bobobobo6b3o4bobob2o2b3obo2b2obo2bo3bo2b3o3b4o2b2o4bo2b
4o3bo2b2o2b3ob2o2b3ob2o$2o10bobobobobob2o4b5ob5obo3bob2o3bob3obo4bob3o
2bob2ob2o2bobo2bo2b2o4b2ob4o$o2b2o5b3o2bo2b2ob6ob2obobo2bobobo2b2o2b2o
b2o2bob2obo2b4o6bo2b4obob2ob5obob6o$2b2obob5o2bo3b2obo2b2obo4b5ob2obo
2bo2b2ob2obobo4b2ob3o3b2ob2o2b2o3b2o4bo3b2o2b2obo$ob5ob5o3bob3o8b2o3b
9o2b8obobo5bo3b5ob2o2b3obo2b2o4bo2bo2b2o$2bo5bob2obob2ob2ob2ob2o2bo4bo
2b2o2b2o3b3obo3bobo9bo7bob2obobob2o2bobo4b3ob3o$2o5b2ob4ob2ob2ob2o3b3o
b2o2b2obo2b3ob2obo2bobob3ob2ob3o2b2ob3o4bo2b7ob2ob2obo2bob2o$3bo2b3ob
3o3bo3b2obobob2ob3obob2ob2o2b5o2b2obo2b6o2b3o2b3o2bob3obo2bob2o3bo2b2o
b3o$bo2bo2bobo3b2ob2ob3ob2o3bo5b5ob2o6bo3b2o3bo2bo2b3o2b2obo2bobobo2b
2obo7bo2bo$4o2b5o3b2o2b3ob4obo4b2obobobob6o5b4o2bo2bobo5b4obo2b4o7bo3b
2o3b3o$o2b2ob2ob4o2b2ob3ob3ob2o2bob3obo2b6o2bo4b2ob2o4bo8bo3b2ob2o4bob
o5b3ob3obo$2b3obob7o2b2o2bo2bobob2o2b5o2b3o2bo2b3o2bo2bo2b2obo3b2o2b2o
4b4obob3ob2obobob2obobo$2ob3o6bobo2bo3b2o4bob2o2bobo3b2o3bo2bob3o3b2o
3bo2b3o2b2o2b3ob2ob2o2bobo2bob2ob2o2b3o$bo5b6ob2obobob3obo3bobo3bo5bo
2bo3bob3obobobobo2bob3obob2ob2o2b2ob2obob2obo3b2ob2obo$6bo2bobobob2ob
2o2b2ob2obobo2bob2ob3o2b2ob2o3b3o7bob3o3bo2bobo2bo2b2ob3obob3o4b4o$bob
3ob2o6b3ob2obob3o2bo5bobob2o2bobo3b2o7bo2b2o2b2o2bo2bob4ob3obo2bo6b2ob
2o$2ob2ob2ob5obob2ob2o2b2o4b2o4b2o2b2ob3obobob4obob5o3bo2bo2b2o2b2ob2o
2bo3bob3obob2ob2o$2b5ob3obobob3obo3bo5bo4bobo3bo3b7ob4o10bo2bo3b3obo2b
o3b4ob4ob3obo$bobobobo2bo3bo2bo2bo2bobo2b3ob3ob2ob3o2b2o2b2obo5bo2bob
2ob2o3b2o5b2o4b2obobobob2obo2b2o$2ob3ob2ob2obob2ob5o3bo4b2ob3obo4bob3o
b3ob2ob3ob3obo2b2o2bo3bo2b6o2bobob6ob3o$2ob3ob2o3bo3b2o3bobobob2o2b2o
2b4ob2obo4b3ob3ob2o2b2o2b2o2bob3o4b3ob2ob5ob4obob2o$b2obo2bobo3b2o2bo
3b2o5b3o2b4o2bob2obo2bo2b2o2b2ob4obob5ob2o2b2o4b3ob4ob3ob2o3b2o$2o2b2o
4bobobob2o2bobobo2bob4ob2ob5o2b2obob2obo3bo2b2o5bo2b3obo2b2ob2o2b2ob2o
bobo6bo$4b8o2b2o3bobob2obo3bob3o4b3o4bob2ob2o2bo5b3o4b5ob2o4b3o2b2o3b
5ob2o$obo3b3obo3b2o3bo3bo4bo2b2ob2obo2b2ob5o3bob3obob8ob2ob4o3b2o4b8o
2bobo$bo3b3o4b2ob2obo2b3o4bob4ob3o3b4ob2ob2ob2ob3obo2b4ob3obo4bo2bo2b
2o2b2o4bobob2obo$obobo2bobo2b2o4b2o4bob2obob3ob2ob2obobobo3b2o2bob2o2b
o2bobo2bob3o2bobo2bobo2b3o3b3obo2bo$2bob2o2bo4b2o5bo4b2o3b2obo5bob4obo
b3obobo2bobobo2bobobo4bob2o2b2o3b2obobob2o2b5o$7bob9obo5b2o6b2ob5o2bo
3bobob2o4b2o2bo3bob5o2b4ob4o2b3obo2b4o$2b5obobo2b6o2b6o4b3o2bobob3o3bo
6b2o2b4obob2o2b3ob2ob2obob4o2b5o2b2obo2bo$5bobobob5o2bobo3b3o4bob2o7b
2ob4ob2o3bobo2b2o3b2obo3bob5obo3bo2b2o3bobob2o$4obobobo3bo4b3obo3bo2b
2ob2obo4bo2bob3o2b3o4bo12b3obob2ob2obo2bo4bobobo2b2o$bob2o2b2o2bobo2bo
bo6bobob2o4bo5b5o2b7o3bobob2ob5o2bob2o2bo2bo4bob3obo2b3obo$bob2obo2b3o
4bob2o5bob6ob4o3bo2b4obo5bo2b2o4b3o2b2obo2bob4obob2obob2o4b5o$b2o4bo5b
2ob2ob2ob2ob4o2b2o2bo7bob3o3bob7o2b2o3b3obob4o2b5ob3o2b5o2b3o$2b2obo3b
3o3b3o2b2obo3b5ob3o3bo4b2o3b5ob5o2b4o7b2obob3o3b3obob2ob3o2bo$b2ob2o2b
3o2b5obo2b2o3b2obo2b2ob4o2b4ob3obo2bob3ob3ob2o2b3o2bobob2o2bobob2obo3b
obob2o$2b2obobo2bo2bobo3bo3bo5bob6ob2ob2o4b2o6bo7bo2bob3o2b4obobo4bob
3o2bo5b2o$4b2ob3obo7b2ob2o2b3o2b3o3b4o2b2o6bo6bo2bo2bob3ob3o2bo2bobo2b
2o3b3ob2obob3o$b2o7bobob4obo4b3ob2ob4ob2o2bo2bobo3bob2ob6ob5o4bobobob
2obobob3obo4bobo$o2bo2bo2b3obobob4ob2ob2o2bobobo4bob2o3b3o3bob3obo4bob
5ob2ob3o2b2o4b2o3bo3b3o3bo$b2o4bo2b2o2bob2ob2o2bo4bobobo2b2o7b3ob2o3bo
b4o2b2ob2o2b2ob2o2b2o2bob2obob4o2b2obo2bo$b3obob2o2bo2b2o2b4o3b3o2b12o
b2o3b2ob2o2bobob8o2b3o7b2ob2ob2o2b4o2b4o$bo3bob3o3b2o6bob2ob2obo4b2ob
5ob6ob2o2b2ob4obo3bob2o2b2obo3bob2o3bob3o5bobo$3b3o3bo2bo3b5o2bob2o2bo
b3obo5bo4bo2b2obobobo4b6o2b3o2bobobob2ob2obobo3b3o2b3o$2o2b2obo2b2obo
2b3o2bobob3o3b2o2b2ob2o4b5ob5o5bo2b2o2bob5o2bobob3o4b3ob2obobo$2b2o2bo
4bob3obob2ob2obobo2b2o3bo2b3obo2b2ob5o2bobo2bobobo3b2obob3ob2o4bo3b4ob
ob5o$6ob3o3bo3b2obob3obo3bo2bo2b2ob2ob2o3b2o2bobobo2b3obobo2bo2b2o5bo
2bob3ob2o2bobo3bob2o$ob5ob3obobobobob3o7b3obo3bo2bobob4obo2bob2o2bo2b
2obo3bo2bo2b2ob2ob7ob4ob3o$bobo3bo4bo4bo3bob3o3b3obo5b7o3bo3b3obo5b2ob
obo2b4ob3ob2obob6o2b3obo$bo3bobobo6bo2b3ob4ob4o5b2o8bo3b2ob3o2bobob2o
5b4o6bo4bo2bo3bobo2bobo$o2b4o2b2o3b2o3bobo2bobo2bob10o3b3obo6bo6b2o3b
8ob4o2bo4bob2ob3o2bo$2ob2o2b2obo2b3ob4o2b2o3b2ob2o3bo3b3obob3obob3obo
3b2o2b6o2b2o2b2ob4obob9ob2obo$2o2bobo3bo2bo7bobob4obo5bobo2bobob3obobo
3b2ob2ob3o4bo2b2o3b3o2bobo2bo3bob2ob4o$2o2bob4ob2ob2o3bo8bo2bobobob2o
6bo2bob3o2bobob2o3b5o2b2obob3o5bo2b2o4b2ob3o$o2bo4bo2bo2bobobobo3b2o4b
o2bob2o2bo2bob2obobobo4b3o4b2obobobo2bo2b7obo2b4o2bo2b4o$b3o2bo2b2o4bo
b2ob4o5b4o2bo3bobo3bob3obo2bobo3b3o5bobobo3bo2bo2bo3b2obob3ob2o$o6b3o
2bo4bo2bo3b4o4bo4bo2bo2bobobo2b2o2b4obo4bob5obobo2bo2b3o4b2o5b2obobo$b
2o7b3o2bo8b5o6b2o2bo5bo4bo2b4obo3b2ob2obo4bob4o2b2o2bo3bobo2b2o2bo$bob
o2bo5bob2obob3o4b2o3b2o2bo6b6o3b2o2bo2bo3bo4b3ob2ob2o2b2ob2o2b3o2bo4b
2o2bo$b2o2bobobo3b2ob2o2b2o5bo3bobo4b4o3b2obo2bobobob3o2bobo3b2obob4o
3bob3o2b3obob2o2b2o$o3bo3bo2bo3bo2bo5b2obo3b2o3bo3bo2bobob2o2bobobob2o
8bobob5o2b4obo3bob3o3bob3o$2bobob5ob2obo2b3obobob4o2b2obobo6b3o2bo7bob
2obobo3b8obo6bob2o2b4o5bo$2obob6o3bo2bo2b6o2bob3o4bo3bo2bo4b2o2b4o7bo
4b5obob3o2bo2bobo4b2obobo$b8ob2o2b5obo2bo5bo2b2ob3obob4o3b5o2bob3o2b2o
bobobo2bob4obo4b2o2bo2bobobo3bo$b2o2bo2b2o5bo5bobob2obob2o5b2obob2ob2o
6bo4bo2bobo2b3ob8o5bobobob3ob2obo$o3bobob3o3bob2o3bo4bo2bobo3bo5bo3b2o
4b2obo5bob2obob2o5b5o3bob2o2bob3o2bo3bo$b4ob2o2bob3o2bobob3o4b3o2b5o2b
6obobob2obob2obo4bob3obo2b2o2bob3o2b2obob2o2bo3bo$ob2obo5bob3o3bobob2o
bobo9b8ob3obo4bo3bo3bo2b4obob2ob3o4b3o2bobo3bob3o$bo3bo7bo2b2ob2obo4bo
bo2b2o2bob2o3bobob5obo2bo2bo4bo4bo2bob5o2b5ob3ob6o$o2bobo2b2o3bo2b2o3b
ob2obobo2bob3o2bobob6ob3obo3bo3b6ob3o2b2obo2bo3bob3ob2obo3b2o$3obob2o
2bo2b3ob2o4bo7bo3b2obobo6b3o3b2obobo3bobo2b2o3bo2bo2bobob2o3bo2b3o3b2o
$2o2bobobo2b2ob3o3b2o2b3o2bob2ob2ob2o2b10ob2ob2o2b4o4b2o6bo2bobob3ob2o
b2obo3b2o$obobo4b2ob2obo4bo3bo2bobob8obob3obo2bo4bobo3b2o2bo7bo2bo3bo
3bobo2b2obobob3o$ob4ob3ob2o4b2o2b2o8b2ob2o2bob2o2bobo2b2o2b2obo4bo4bob
o6bob2o2bo2b2o2b3obobo3bo$3ob2obo2bo3b3ob2ob5ob2obo5bobob3ob2obobo3b3o
b6obobo4b3o3bo2b5ob3o2bo3bo2bo$2o2bo4b2obob9ob7o2b6obo5bob13obob6obo5b
o2b2o2bobob2o3b4o2bo$2bobobo3b4ob2obo4b2o4bo2bobob3o3bobobobo2bob6o3b
4o3b2o3b2ob2obo2bobo2bob2ob3o3bo$3o3b2obobob2o2b2o2bob2o2bobo2b2ob2ob
2o2bo5b4obobo3bobo2b2o2b2ob3obobo2b3o2b3o5b4ob2o$2b3ob2o4bobob2ob7ob3o
2bob3o2b3o2b4o3bo3bobo2b2obob2o5b5o3b3obob4obo3bobobo$obo2bobo5b2obob
4ob2o4b4ob2obo2bob2ob4o6bobob3obo4bob2obob2obob2o3b2o3b5o3bo$o3bo4bobo
3bo2bobobob5o2bob2ob4o3bobob2obobo2b2o4b2ob3obo2bo2b4obo3b17o$3obobo3b
obo8bobo3bo3bo2bobo3b4o2b2o4bobo2bo3b2o2bo3bob2obo3b2o3b2obob5o4bo$4bo
bob2o8b2o2bobo5b2obo2bo3b2ob8obobobo2bo2bo2bobobo3b3o4b3o12bob2o$10o2b
3obobob2obob2o9b2ob4o7bo2bob3o2bob3obo3bo3b2o2bo2bobob4o2b9o$2bobob7ob
o2bobo2bo2b3ob5o2bo6b3o3b5obo2bo2bo2bob5o2b2o3bo2b2ob3o2bo2bobobo2bo$b
o3b2ob2ob2o3b4ob4ob2ob2o2bobob5obob2o4b2o4b3obobo3b2o3bo2b5ob2obo5b2o
2bo2bobo$b3o3b2obo4bobob5o4bob8obob2ob2o2bo2bobob7ob2o4bo2bo4bobo2bob
2o2b2obobo2bob2o$ob4ob2obo4b2o2b2obobobob3obobob2obob2ob2obo3b2ob5o2b
4o2bobobo3b4o7b3ob2obo3b3o$3b2o3bobobo2bob2o3b4o3bo2b4o2b2ob7o3bobo3b
2ob2obobo2b2ob2o2bobo2b4o2b2o3bo2bobo$bobo3bo5b2o2bob2o2b3obob2o2b2ob
2ob2o4b2obob2o2bobob2o2bob3ob2o2b2o2b3ob3o2bo2b6obob2o$5o2bo2b3o4b2ob
6obo2b3o3b2obob2o3bo6bo2b3o3bo4bob3o3b2obob2ob2ob2ob2o2bobo2b2o$6bob2o
4bo2b3o2b2o3bo2bo2bob3o2b2o3bob2obobob2o6b2ob6ob4ob2o2b3o4bob2o3bob2o$
o2b2ob2o2b2ob4obo14b2o2bobobobo6bo2b5o2b2obo2b2o4bob4ob4o3bo3bobo2bo3b
o$obob2obo2b3obobo2bo2bo4b3obo2b4o3bob6obobo2bob3o3bobobo4b3ob3obo2b2o
3b3ob2obobobo$b2o2b5o3bob2ob2o3bob2ob4ob2o2bob2o3bobob3o3b2obo2b2o2bob
2o7bob2obo2bob3ob4ob2ob2o$2b5obobo3b4o3b3obobobo2bob5ob2obo4b7obobo2bo
b3ob2o6b8obo4b2obo2bob3o$4bo2b5o2bobob5o3b2o2bo3b3o2b2obobobob2o4b2o3b
2o4b3o2bo4b2ob4o4bob9o2bo!
[[ THEME Golly ]]
- Name this rule and it's patterns.
- Do more apgsearches to better characterize how this rule behaves at low probabilities.
- Find more linear growth patterns (puffers, guns, rakes, etc.).
- Find more spaceship speeds.
- Find more oscillator periods. The 5 lowest unknown periods are 27, 31, 33, 37, and 39.
- Find any nonlinear growth pattern (nonlinear meaning superlinear or sublinear).
- Prove this rule to have universal construction.
- Gain a better understanding of glider synthesis in this rule.
- Find circuitry.
- Find methuselahs.
- A semi-natural 3c/15o was discovered by FWKnightship!
- A p102 glider gun, along with a 6G synthesis for it, was discovered by cvojan!
- New oscillator periods 15, 16, 19, 29, 34, 52, 98, and 112 have been uploaded to catagolue!
- A p1020 c/5 gun was constructed by Naszvadi!
- A signal splitter was created by yujh using an AND and a NOT gate, proving the rule to be turing complete!
- New oscillator periods 17, 22, 38, 43, 44, 48, 56, 60, 70, 88, 90, 126, 220, 408, and 510 have been uploaded to catagolue!
- The first extensible oscillator mechanism has been discovered and characterized!
- FWKnightship constructed a W110 unit cell!
There are currently 13 known spaceship speeds, 3 of which are natural. These are c/2o, c/3o, c/4o, c/5o, 2c/5o, c/12o, 3c/15o, c/3d, c/4d, c/5d, c/6d, (2,1)c/5, and (2,1)c/6.
Here is a compilation of them:
Code: Select all
x = 62, y = 423, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
10b2o$8b2o2b2o$8bo4bo$3b4obob2o2b2o$3bo2bobo2bo2b3o$4b2ob2ob7o$3bo3b2o
2b3o$8b4o2bo2bo$5b2obob3obob2o$10bob4o2bo$10bobo2b4o$8b2ob2obob3o$7b2o
4b3obo$5bo3bo3b2o$4b2o9bo$3bo2bo$3bo3bo$b2obob2o$3o$bob3ob2o$4bo$4bo
19$2bo8bo37b4o$2b2o6b2o29bo6bobobo$5ob2ob5o25b2ob4ob3o$o3b2o2b2o3bo24b
o3bo2bobobo$ob4o2b4obo20b2ob4obo8bo$b4o4b4o21b3o2b2o5bo$2b2o6b2o$36bo$
4bob2obo23b2obo$5b4o22b3ob5o$31b2o3b2obo$5b4o21b4ob2o$4bob2obo21b4o$2b
2o6b2o23b4o$3b2o4b2o24b3o$2obo6bob2o18b2o$2o10b2o16bo2bo$28b3ob4o$bo
10bo16b2o2bo$bo10bo13bo5bo$27b2obo$26b2ob3ob2o$27bo2b3obo$31bo2$32b2o$
32bo$25b3ob2obo$25b2ob3obo$26b2o3bo$24bobo2bobo$25b5o$23b2o3bo$23bo4b
2o$22b5obo$23b2obo$22b3obo2bo$22bo4b3o$21b2o4bobo$20b2o4bo$20b2o2b5o
10$3bo4bo23b2o25bo$2b2o4b2o24b2o22bob2o$3bo4bo24b2o2b2o18bo3bo$2bo2b2o
2bo23bo3bo17b3o3bo$3o2b2o2b3o18b2ob2o2b3o14bob2o$2o2b4o2b2o19bo6bo18b
2ob2o$bo8bo20b2o22b4obo$o2b2o2b2o2bo18b2o25b3o$2o2b4o2b2o18b4o23b5o$2o
3b2o3b2o18b5o20b3o$3bo4bo24b2o19b2o4bo$2b2o4b2o20b2obo20b2o3b2o$3bob2o
bo21bob2o$3b6o19bo25bob2o$5b2o21b3o22b2o2bo$3bo4bo20b3o22bo2bo$2b3o2b
3o19b3o22bo2bo$2b8o17b5o20bo$4bo2bo18bo2bobo19b2o2bo$bo8bo16b2obobo$bo
bo4bobo15b3obobo$o2bo4bo2bo15bobo2bo$2b2o4b2o17b2ob3o$2b2o4b2o17bo3bo$
24b4o$23b2obo$26b2o$24b2o$26b2o$27b2o$27b2o$25bobo$24bobo$22b2o$23bobo
$23bob2o$23b3o$21b2o$20b5o$21b6o$22b2o$18b2o2bo2b2o$18b3o3b2o$18b4o2bo
$23bobo$24b2o$20b5o$20bob2o$23bo$17b4o2b2o$16bob3o2bo$15bo$13b3o$14bob
2o$12bo$11bobo$10bob2o$10bobo$10bo$10b3o$8b3o$6bo2b4o$6bo2b4o$5b2ob5o$
5bobo3bo$4bo3b4o$3bo3b4o$2bobo3bo$2b2ob2o$2b2o$5b2o$2bo2bo$3o$2obo17$b
2o3b2o12b3o$b2o3b2o14bo$o2bobo2bo12bo2$b2o3b2o$b3ob3o$4bo$3b3o13$4b2o
4b2o26bobo$4b3o2b3o25b2obo$3b2obo2bob2o13b6o5b2o2bo$3bo3b2o3bo29b2o$2o
12b2o8b3o4b3o$bo2bo6bo2bo9b2o6b2o7b3o$4b3o2b3o13bo6bo8b2o$5b2o2b2o$4bo
2b2o2bo$3b4o2b4o$6b4o$b3obo4bob3o$b2o10b2o$2b2o8b2o$b2o10b2o$2o12b2o$
2o12b2o2$3o10b3o$5o6b5o$3b2o6b2o2$4b2o4b2o$3b3ob2ob3o$2bobo2b2o2bobo$b
5o4b5o$4bo6bo$2o2bo6bo2b2o$bo12bo$2o2bo6bo2b2o$5o6b5o$2b3obo2bob3o$3o
3b4o3b3o$2b3obo2bob3o$4b3o2b3o$3bo8bo$3b3o4b3o$3b3o4b3o$3b2o6b2o$2b4o
4b4o$bobo2bo2bo2bobo$2bo2b2o2b2o2bo2$5b2o2b2o$7b2o$5bob2obo$3b4o2b4o$
4b2o4b2o$3b4o2b4o$4b3o2b3o$5b6o$4b2ob2ob2o$3b3o4b3o$b3o8b3o$bo12bo$5o
6b5o$2o12b2o$2o12b2o$2bo10bo$4bo6bo$bob3o4b3obo$b3obo4bob3o$2bo2b2o2b
2o2bo$4bobo2bobo$3b2o6b2o$2b2ob2o2b2ob2o2$o14bo$b2o10b2o$3bo8bo$5b2o2b
2o$4bobo2bobo$2b2o8b2o$2bob8obo$5b6o$7b2o$4b2ob2ob2o$6b4o$4bobo2bobo$
4bobo2bobo$5bo4bo$5b6o$5b6o$7b2o$6b4o$4bobo2bobo$2b2ob2o2b2ob2o$2b2o2b
4o2b2o$7b2o3$6b4o2$7b2o$7b2o$6b4o$6bo2bo$7b2o$6b4o$4b8o$4bo2b2o2bo$2b
3ob4ob3o$3b2ob4ob2o$4bobo2bobo$3bo3b2o3bo$b3o2bo2bo2b3o$bobob2o2b2obob
o$bo3b6o3bo$7b2o$4b8o$3b2o6b2o$2b3obo2bob3o$3b2ob4ob2o$6b4o2$7b2o$2bo
3bo2bo3bo$2bobo2b2o2bobo$2bob8obo$5bo4bo$4b2o4b2o$4b2ob2ob2o$4b8o$7b2o
$6b4o$4bo6bo$5bo4bo$4bo2b2o2bo$3bobo4bobo$b2ob2o4b2ob2o$b3obo4bob3o$2o
2b3o2b3o2b2o$2ob2obo2bob2ob2o$4bo6bo2$4b2o4b2o$4b3o2b3o$2bob3o2b3obo$b
2o10b2o$5bo4bo$4bo6bo$4bo6bo$3bobo4bobo$b3obo4bob3o$b2o10b2o$3o10b3o$
2o12b2o$2bo10bo$2bob2o4b2obo$4b2o4b2o$2b2o8b2o2$3bo2bo2bo2bo$5b2o2b2o$
4b8o$5b6o$5b2o2b2o$5bo4bo$3b2o2b2o2b2o$3bo8bo$2b2o8b2o$bobo8bobo$b2o
10b2o$7b2o$bo2bo2b2o2bo2bo$b2obo2b2o2bob2o$6b4o$2bo4b2o4bo$3b4o2b4o$2b
o3bo2bo3bo$obo3bo2bo3bobo$o5b4o5bo$2b2obo4bob2o$2bo2b2o2b2o2bo$2b2obob
2obob2o$2bo2b2o2b2o2bo$4b3o2b3o$3bobob2obobo$2bo2bo4bo2bo$2o2bobo2bobo
2b2o$bo4b4o4bo$obobo6bobobo$2bo2bo4bo2bo$5bo4bo$5bo4bo$4bo6bo15$9b2o$
6b2obo$6b2ob2o$3bob3o$4bobo$2b2o2b2o$bobob2o$4o$o$2o11$5o$2ob2o$o3bo!
[[ LABELSIZE 12 ]]
[[ LABEL -10 10 2 "c/2o" ]]
[[ LABEL -10 50 2 "2c/5o\n(2,1)c/5" ]]
[[ LABEL -10 100 2 "c/3o\n(2,1)c/6\nc/3d" ]]
[[ LABEL -10 182 2 "c/4o\nc/4d" ]]
[[ LABEL -10 203 2 "c/5o\n3c/15o\nc/5d" ]]
[[ LABEL -10 404 2 "c/6d" ]]
[[ LABEL -10 421 2 "c/12o" ]]
[[ THEME Golly ]]
Code: Select all
x = 60, y = 26, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
2b6o11b5o10b3o$19b2ob2o12bo$3o4b3o9bo3bo11bo$2o6b2o$bo6bo6$46bo$44b3o$
44bobo$44b2o$44b2o6$55bo$54bob3o$54b2ob2o$58bo$57bobo$57b2o!
[[ THEME Golly ]]
Code: Select all
c/6o 7
2c/7o 7
3c/7o 10
c/7d 10
2c/7d 13
(2,1)c/7 26
(3,1)c/7 36
Here is a list of every oscillator period up to 112. The known (non-trivial) oscillator periods are green and the unknown (non-trivial) periods are red.
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
Here's a collection. Note that extensible oscillators (see below) will only be included here if they occur naturally, so this collection doesn't contain every known period.
Code: Select all
x = 92, y = 1479, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
bo8b2o9bo8bo13b2o$bo8b3o8bobo7b2o8bo2bo$bo9b2o8bobo7b3o6bobobo$23bo8b
2o7bo2bo$34bo9b2o11$14b2o3b2o8b2o$2ob3o8bobobobo8bobo$o2b2o10b5o10b2o$
bobo2bo9b3o13bo$2bo2b2o8b5o13bo$14bobobobo13b2o$14b2o3b2o13bobo$35b2o
11$2o$2o22bo2bo8b2o$bo22bo2bo7b4o$9b7o8bo2bo7bo2bo$9b7o8bo2bo7b4o$9b7o
8bo2bo8b2o14$4bobo14b2o9bobobobo13bo$3bobobo12bo2bo7bobobobobo11bobo$
2bo5bo12bo2bo7bo5bo11bo3bo$bo2b3o2bo10bo2bobo8b3o12bo2bo2bo$o2bo3bo2bo
9bo3bo5b3obobob3o7bo4bo2bo$bobo3bobo6bob2o10bobo5bobo6bob2o4bo$o2bo3bo
2bo4bobo28bo3b2o2bo$bo2b3o2bo5bo31bo3bobo$2bo5bo7bobo29bo3bo$3bobobo9b
obo29bobo$4bobo11bo31bo12$2b3o9bo8bo$2b3o7b2o8bobo2bo$2b3o8bo7bobo2bob
o$2b3o7b2o8bo2bo2bo$2b3o9bo9b2o$23bo$22bo$23b2o12$3b2o11b2o$3bo11bo2bo
$2bo2bo9bobo3bo$bo2bobo9bo2bobo$2bo2bo9bo2b2o$3bo12bo$3b2o10bobo$16bo
11$16bo16b2o20bo$b3o11bobo14bobo19bobo$2bo11bo3bo12bo20bo2bo2bo$2b2o9b
o5bo10bo2b4o15b2o3b2o$12bo5bobo8bo2bo4bo16bobo$13bo3b2o2bo6bo2bo4bobo
16bo$14bob2o2bo7b2obo2b2obobo8b2o11b2o$15bo3bo11bo2b2o2bo10bo11bo$16bo
bo12bobo3bo9bo2bo9bo2bo$17bo14bobobo9bobo2bo7bo2bobo$33bobo11bo2bo9bo
2bo$34bo14bo11bo$48b2o11b2o$55bo$54bobo$52b2o3b2o$52bo2bo2bo$54bobo$
55bo11$17bo5bo10bo9bo$18bo3bo10bobo7bobo$3b3o12b2ob2o9bobo2b2ob2o2bobo
$3b2o14bobo11bo2bo2bo2bo2bo$3bo3bo11bobo13bo7bo$6b2o10b2ob2o11bo9bo$5b
3o9bo5bo10bo4bo4bo$18bobobo12bo2bobo2bo$19bobo12bo4bo4bo$20bo13bo9bo$
35bo7bo$33bo2bo2bo2bo2bo$32bobo2b2ob2o2bobo$33bobo7bobo$34bo9bo11$13bo
$12b2o$2b3o9bo$4bo10b2o$4bo10bo13$9bo18b2o5b2o18bo3bo$8bobo17bobo3bobo
15bobobobobobo18b2ob2o$7bo3bo19bobo17bobo3bo3bobo13bo5bo5bo$6bo5bo12b
2ob3obob3ob2o10bo3b2o3b2o3bo11bobob2o3b2obobo$5bo7bo11bo2b2o5b2o2bo9bo
3bobo3bobo3bo11bobo2b3o2bobo$4bo4bo4bo11bobo7bobo9bo4bo7bo4bo11bobo5bo
bo$3bo2b3ob3o2bo11bo9bo11bob2o9b2obo11bobobobobobobo$2bo3b2o3b2o3bo11b
o7bo11bobo13bobo8bobo2bobobobo2bobo$bo4bo2bo2bo4bo9bo9bo9bo2b2o11b2o2b
o7bo2bo2bo3bo2bo2bo$o4bo2bobo2bo4bo7bobo7bobo9bo17bo9bobobo5bobobo$bo
4bo2bo2bo4bo7bo2b2o5b2o2bo9bo15bo9bo2bo2bo3bo2bo2bo$2bo3b2o3b2o3bo8b2o
b3obob3ob2o8bo17bo8bobo2bobobobo2bobo$3bo2b3ob3o2bo15bobo13bo2b2o11b2o
2bo9bobobobobobobo$4bo4bo4bo13bobo3bobo11bobo13bobo11bobo5bobo$5bo7bo
14b2o5b2o12bob2o9b2obo11bobo2b3o2bobo$6bo5bo35bo4bo7bo4bo9bobob2o3b2ob
obo$7bo3bo37bo3bobo3bobo3bo11bo5bo5bo$8bobo39bo3b2o3b2o3bo16b2ob2o$9bo
41bobo3bo3bobo$52bobobobobobo$55bo3bo12$7b3o22b2o20bo15bo$7b3o22b2o19b
obo13bobo$7b3o22b2o18bobo15bobo$7b3o22b2o17bobo17bobo$7b3o22b2o18bo19b
o$7b3o22b2o25bo2bo2bo$7b3o22b2o24b2obobob2o$7b3o22b2o23b2o3bo3b2o$7b3o
22b2o22b2o2bo3bo2b2o$7b3o22b2o25bobobobo$7b3o22b2o23bo2bo3bo2bo$7b3o
22b2o22bobo7bobo$7b3o22b2o23bo2bo3bo2bo$7b3o22b2o25bobobobo$7b3o22b2o
22b2o2bo3bo2b2o$57b2o3bo3b2o$58b2obobob2o$59bo2bo2bo$52bo19bo$51bobo
17bobo$52bobo15bobo$53bobo13bobo$54bo15bo11$4bo7bo19bobo26bo27bo$3bobo
5bobo17bobobo24bobo25bobo$2bo3bo3bo3bo15bo5bo24bo27bo$bo2b2obobob2o2bo
13bobo3bobo47b2obobo$o2b2o3bo3b2o2bo11bo9bo46bo3bo$bobo9bobo11bo11bo
18bobobobo20b2obobo$2bo11bo11bo2b2o2bo2b2o2bo17b3ob3o17b3o2bo$3bo9bo
11bo3bo2bobo2bo3bo19bo20bobobo$4bo7bo11bobo4bo3bo4bobo12b2o9b2o17bo$3b
o9bo9bo6bo5bo6bo12bo9bo13bobobo$2bo11bo9bo4bo7bo4bo8bo3b2o9b2o3bo7bobo
bo$bobo9bobo7bo6bo5bo6bo6bobo4bo7bo4bobo7bobobo$o2b2o3bo3b2o2bo7bobo4b
o3bo4bobo8bo3b2o9b2o3bo$bo2b2obobob2o2bo9bo3bo2bobo2bo3bo14bo9bo$2bo3b
o3bo3bo11bo2b2o2bo2b2o2bo14b2o9b2o$3bobo5bobo13bo11bo21bo$4bo7bo15bo9b
o19b3ob3o$29bobo3bobo20bobobobo$30bo5bo$31bobobo$32bobo26bo$60bobo$61b
o11$7bo16bo$7bo15bobo$7bo16bobo$7bo17bobo$7bo16bobobo$7bo16b2o3bo$7bo
17bo4bo$7bo21bobo$7bo17bo4bo$7bo16b2o3bo$7bo16bobobo$7bo17bobo$7bo16bo
bo$7bo15bobo$7bo16bo11$4bobobo$3bobobobo$obo5bo$2o3bo4bo$5b2o2bobo$5b
2o2bobo$2o3bo4bo$obo5bo$3bobobobo$4bobobo11$6bob2obo$5bobo2bobo$3bo2bo
b2obo2bo$2bobo8bobo$3bo10bo$bo6b2o6bo$obo4bo2bo4bobo$bo4b2o2b2o4bo$obo
2bo6bo2bobo$obo2bo6bo2bobo$bo4b2o2b2o4bo$obo4bo2bo4bobo$bo6b2o6bo$3bo
10bo$2bobo8bobo$3bo2bob2obo2bo$5bobo2bobo$6bob2obo11$11bo7bo35bo3bo$
10bobo5bobo33bobobobo$11bobo3bobo33bo3bo3bo$12bobobobo35bo5bo$13bobobo
37bo3bo$11b2obobob2o34bo5bo$10bo2bobobo2bo32bo7bo$9bobobo3bobobo30bo4b
o4bo$9bo2bo5bo2bo29bo4bobo4bo$7b2o2bobo3bobo2b2o22bo3bo4b2ob2o4bo3bo$b
o4bo3bobo5bobo3bo4bo15bobobo5bo3bo5bobobo$obo2bobobobobo3bobobobobo2bo
bo13bo3bo4b2o2bo2b2o4bo3bo$bobobo2bobobo5bobobo2bobobo15bo6b2o2bobo2b
2o6bo$2bobob2obobo7bobob2obobo17bo4bo3bobobo3bo4bo$3bobo19bobo17bo6b2o
2bobo2b2o6bo$4bobo17bobo17bo3bo4b2o2bo2b2o4bo3bo$3bobo19bobo17bobobo5b
o3bo5bobobo$2bobob2obobo7bobob2obobo17bo3bo4b2ob2o4bo3bo$bobobo2bobobo
5bobobo2bobobo21bo4bobo4bo$obo2bobobobobo3bobobobobo2bobo21bo4bo4bo$bo
4bo3bobo5bobo3bo4bo23bo7bo$7b2o2bobo3bobo2b2o30bo5bo$9bo2bo5bo2bo33bo
3bo$9bobobo3bobobo32bo5bo$10bo2bobobo2bo32bo3bo3bo$11b2obobob2o34bobob
obo$13bobobo37bo3bo$12bobobobo$11bobo3bobo$10bobo5bobo$11bo7bo11$3bo
21bo$2b3obo17bobo$5bobo17bobo$4bobo17bobo$5bobo15bo$2bo4b2o11bobo$bobo
3bo11bobo5bo$2bo17bobo3b2o4bo$21bo3b3o3bobo$32bo$31bo$30bo$27bobo$26bo
bo$27bo11$3bo$2bobo$3bobo$6bobo$7bobo$3b2o3bo$2b3o$2b3o$3b2o3bo$7bobo$
6bobo$3bobo$2bobo$3bo11$35bo$30b3obobob3o$2b3o26b2o2bo2b2o$4bo3b7o18bo
3bo$4bo3b7o19b3o$8b7o$33bobobo$24bo7bobobobo7bo$24b2o5bobobobobo5b2o$
24b2o4bobobobobobo4b2o$26bo2bobobo3bobobo2bo$24bo2bo2bobo5bobo2bo2bo$
23bobobobobo7bobobobobo$24bo2bo2bobo5bobo2bo2bo$26bo2bobobo3bobobo2bo$
24b2o4bobobobobobo4b2o$24b2o5bobobobobo5b2o$24bo7bobobobo7bo$33bobobo
2$34b3o$33bo3bo$31b2o2bo2b2o$30b3obobob3o$35bo11$4bo$3b2o$3b2o$6bo$5b
2o$7bo$6bobo$7bo$5b2o$6bo$3b2o$3b2o$4bo13$7bo19b2o3bo11bo3b2o$6bobo17b
o2bobobo9bobobo2bo$5bo3bo16bobobobo11bobobobo$4bo5bo16bobobo5bobo5bobo
bo$3bo5bobo16bobobo2b3ob3o2bobobo$2bo7bobo14bobobo6bo6bobobo$bo7bobo
14bobobo15bobobo$o7b2o17bo21bo$bo5bo3bo$2bobob2o2bobo17bo15bo$3bobo3bo
bo18bo15bo$4bobobobo18b2o15b2o$5bo3bo21bo13bo$29b2o15b2o$30bo15bo$30bo
15bo2$27bo21bo$26bobobo15bobobo$27bobobo6bo6bobobo$28bobobo2b3ob3o2bob
obo$27bobobo5bobo5bobobo$26bobobobo11bobobobo$26bo2bobobo9bobobo2bo$
27b2o3bo11bo3b2o11$10bobo$9bobobo$8bo5bo$7bo7bo$6bo9bo$5bo3bo3bo3bo$4b
o2bob2ob2obo2bo$3bo2bobo2bo2bobo2bo$2bo4bo2bobo2bo4bo$bo3b2o2bo3bo2b2o
3bo$o5bobo5bobo5bo$bo5bo7bo5bo$o5bobo5bobo5bo$bo3b2o2bo3bo2b2o3bo$2bo
4bo2bobo2bo4bo$3bo2bobo2bo2bobo2bo$4bo2bob2ob2obo2bo$5bo3bo3bo3bo$6bo
9bo$7bo7bo$8bo5bo$9bobobo$10bobo11$5bo17b2ob2ob2ob2o$4b3o13bobo2bo2bo
2bo2bobo$19bobobo3bobo3bobobo$4b2o12bobobo2b2obob2o2bobobo$19bobo2bo7b
o2bobo$3bo14bobo2bo9bo2bobo$3bo13bobo2bobobo3bobobo2bobo$3bo13bo3bobob
o5bobobo3bo$3bo14bobo3bo3bo3bo3bobo$3bo13bo2bo2bo3bobo3bo2bo2bo$3bo13b
obo6bo3bo6bobo$3bo14bobo4bo5bo4bobo$17bobo6bo3bo6bobo$17bo2bo2bo3bobo
3bo2bo2bo$18bobo3bo3bo3bo3bobo$17bo3bobobo5bobobo3bo$17bobo2bobobo3bob
obo2bobo$18bobo2bo9bo2bobo$19bobo2bo7bo2bobo$18bobobo2b2obob2o2bobobo$
19bobobo3bobo3bobobo$20bobo2bo2bo2bo2bobo$23b2ob2ob2ob2o11$13bo$12bobo
$11bobobo$12bobo$13bo2$13bo$12bobo$8bo2bo3bo2bo$9b2o2bo2b2o$9bo2bobo2b
o$2bo5bo2bo3bo2bo5bo$bobo3bo2bo5bo2bo3bobo$obobobo2bo7bo2bobobobo$bobo
3bo2bo5bo2bo3bobo$2bo5bo2bo3bo2bo5bo$9bo2bobo2bo$9b2o2bo2b2o$8bo2bo3bo
2bo$12bobo$13bo2$13bo$12bobo$11bobobo$12bobo$13bo11$9b2o5b2o$8bo2bo3bo
2bo$9bo2bobo2bo$10bo2bo2bo$9bo2bobo2bo$8bobo2bo2bobo$7bo2bo5bo2bo$6bob
obo2bo2bobobo$bo3bobo2bo5bo2bobo3bo$obobo5bo2bo2bo5bobobo$o2bob5o2bobo
2b5obo2bo$bo9bobobo9bo$2bobo5bobobobo5bobo$3bobobobobobobobobobobo$2bo
bo5bobobobo5bobo$bo9bobobo9bo$o2bob5o2bobo2b5obo2bo$obobo5bo2bo2bo5bob
obo$bo3bobo2bo5bo2bobo3bo$6bobobo2bo2bobobo$7bo2bo5bo2bo$8bobo2bo2bobo
$9bo2bobo2bo$10bo2bo2bo$9bo2bobo2bo$8bo2bo3bo2bo$9b2o5b2o16$2b3o4bo2bo
$2b3o4bo2bo$2b3o4bo2bo$2b3o4bo2bo$2b3o4bo2bo12$6bo6bo$5bobo4bobo$6bobo
2bobo$5bobo4bobo$4bo2b2o2b2o2bo$bobo12bobo$obo14bobo$bob2o10b2obo$2bob
o10bobo3$2bobo10bobo$bob2o10b2obo$obo14bobo$bobo12bobo$4bo2b2o2b2o2bo$
5bobo4bobo$6bobo2bobo$5bobo4bobo$6bo6bo13$3bo$3bo$3b3o4$3bo$3bo$3bo$3b
o$3bo$3bo$3bo11$9b2o2b2o$10bo2bo$9bo4bo$8bo6bo$5bobo8bobo$4bobo10bobo$
5bo12bo$4bo14bo$3bo5bo4bo5bo$obo5b2o4b2o5bobo$2o9b2o9b2o$10b4o$10b4o$
2o9b2o9b2o$obo5b2o4b2o5bobo$3bo5bo4bo5bo$4bo14bo$5bo12bo$4bobo10bobo$
5bobo8bobo$8bo6bo$9bo4bo$10bo2bo$9b2o2b2o12$8bo$7bobo$2b2o4bo$2bo4bo$b
o2bobo$bobobo$2bobo$bobobo$bo2bobo$2bo4bo$2b2o4bo$7bobo$8bo11$5b3o4b7o
$6b2o4b7o$3bo3bo4b7o$3b2o$3b3o5$3b3o$3b3o$3b3o$3b3o$3b3o$3b3o$3b3o12$
7bo$6bobo$5bobobo$6bobo2$8bo$5bobobo$5bo2bo$5b2o2bo$5bo2bo$5b2o2bo$5bo
2bo$5bobobo$8bo2$6bobo$5bobobo$6bobo$7bo12$b3o$2bo$2b2o4bo$7b2o$6b3o
18$11b2o3b2o$10b2obobob2o$14bo$8bo4bobo4bo$7bobobo2bo2bobobo$8bobobo3b
obobo$5bo3bobo5bobo3bo$4b2o2bobo7bobo2b2o$4bo4bo9bo4bo$5bobo13bobo$6bo
bo11bobo$5bobo13bobo$4bo4bo9bo4bo$4b2o2bobo7bobo2b2o$5bo3bobo5bobo3bo$
8bobobo3bobobo$7bobobo2bo2bobobo$8bo4bobo4bo$14bo$10b2obobob2o$11b2o3b
2o18$6b2o$5b3o$3b2o3bo$3b2o3b2o$4bo3b2o$5b3o$5b2o14$11bobo$10bobobo$9b
o5bo$8bob2ob2obo$7bobo2bo2bobo$6bo2bobobobo2bo$5bo4bo3bo4bo$4bo15bo$3b
o17bo$2bob2o13b2obo$bobo2bo11bo2bobo$o2bobo13bobo2bo$bo2bo15bo2bo$o2bo
bo13bobo2bo$bobo2bo11bo2bobo$2bob2o13b2obo$3bo17bo$4bo15bo$5bo4bo3bo4b
o$6bo2bobobobo2bo$7bobo2bo2bobo$8bob2ob2obo$9bo5bo$10bobobo$11bobo10$
7b2o$6bo2bo$7bo2bo$6bo4bo$5bo6bo$4bob2o3bobo$3bob3o3b2obobo$2bo8b2o2bo
bo$bo6b2o7bo$o7b2o6bo$obo2b2o8bo$bobob2o3b3obo$4bobo3b2obo$5bo6bo$6bo
4bo$7bo2bo$8bo2bo$9b2o11$6bo4bo4bo$5bobo2bobo2bobo$4bobo2bobobo2bobo$
5bo2bo5bo2bo$2bobo2bo7bo2bobo$bobo2bo9bo2bobo$obo2b2o9b2o2bobo$bo2bo2b
o3bo3bo2bo2bo$3bo6bobo6bo$2bo6bo3bo6bo$bo6bo5bo6bo$obo4bo7bo4bobo$bo6b
o5bo6bo$2bo6bo3bo6bo$3bo6bobo6bo$bo2bo2bo3bo3bo2bo2bo$obo2b2o9b2o2bobo
$bobo2bo9bo2bobo$2bobo2bo7bo2bobo$5bo2bo5bo2bo$4bobo2bobobo2bobo$5bobo
2bobo2bobo$6bo4bo4bo11$6b2o$6bobo$7bo$6bobo$2b2obobo$2bobobobo$3bobobo
bo$8bobo$9bobo$10bobo$11bo$9b2o2bo$12bobo$12bobo$9b2o2bo$11bo$10bobo$
9bobo$8bobo$3bobobobo$2bobobobo$2b2obobo$6bobo$7bo$6bobo$6b2o11$9bo$8b
3o2$8b2o2$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo
13$8bo$8bo$6b3o4$7b3o$7b3o$7b3o$7b3o$7b3o$7b3o$7b3o$7b3o$7b3o$7b3o$7b
3o$7b3o$7b3o$7b3o$7b3o14$9bo$9bo$7b3o4$7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo
$7bo$7bo$7bo$7bo$7bo$7bo$7bo11$6b2o$6bo$5b3o6$6bo$4bob3o$4bo$3b2o3b2o$
8bo$4b3obo$6bo16$4b3o$5b2o7bo$2bo3bo7bo$2b2o8b3o$2b3o13$15b2o$11bo2bo
2bo2bo$10bobo2b2o2bobo$9bobobo4bobobo$10bobo6bobo$9bobo3b2o3bobo$10bob
ob4obobo$9bobo8bobo$8bobo10bobo$3bobobobo12bobobobo$2bobobobo14bobobob
o$bobobobo16bobobobo$2bobobo18bobobo$3bo24bo$bo4bo18bo4bo$obo2b2o18b2o
2bobo$obo2b2o18b2o2bobo$bo4bo18bo4bo$3bo24bo$2bobobo18bobobo$bobobobo
16bobobobo$2bobobobo14bobobobo$3bobobobo12bobobobo$8bobo10bobo$9bobo8b
obo$10bobob4obobo$9bobo3b2o3bobo$10bobo6bobo$9bobobo4bobobo$10bobo2b2o
2bobo$11bo2bo2bo2bo$15b2o14$9b2o$9b2o$9bobo$11bo$10b2o16$23bo2bo2$23bo
2bo$23b4o7$23b4o$23b4o$24b2o8$3bob2o6b2o20b2o6b2obo$6bo6b3o18b3o6bo$6b
o6b3o18b3o6bo$3bob2o6b2o20b2o6b2obo8$24b2o$23b4o$23b4o7$23b4o$23bo2bo
2$23bo2bo17$9b3o$10b2o$7bo3bo$7b2o$7b3o4$7bo$7bo$7bo$7bo$7bo$7bo$7bo$
7bo$7bo$7bo$7bo$7bo$7bo$7bo$7bo16$9b2o$8b4o$8b4o$11bo4$8b3o$8b3o$8b3o$
8b3o$8b3o$8b3o$8b3o11$2b3o$3b2o$4bo6$6bo$4bob3o$4bo$3b2o3b2o$8bo$4b3ob
o$6bo14$2bo$b3o2$2b2o2$10b2o$9bobo$9bobo$9b3o$9b3o26$2b3o$4bo6b2o$4bo
5b3o$10b2o$9b2o!
[[ LABELSIZE 12 ]]
[[
LABEL -10 1 2 "2"
LABEL -10 18 2 "3"
LABEL -10 36 2 "4"
LABEL -10 57 2 "5"
LABEL -10 76 2 "6"
LABEL -10 96 2 "7"
LABEL -10 120 2 "8"
LABEL -10 147 2 "9"
LABEL -10 168 2 "10"
LABEL -10 192 2 "11"
LABEL -10 225 2 "12"
LABEL -10 258 2 "13"
LABEL -10 287 2 "14"
LABEL -10 309 2 "15"
LABEL -10 333 2 "16"
LABEL -10 368 2 "17"
LABEL -10 401 2 "18"
LABEL -10 425 2 "19"
LABEL -10 455 2 "20"
LABEL -10 484 2 "21"
LABEL -10 515 2 "22"
LABEL -10 549 2 "23"
LABEL -10 582 2 "24"
LABEL -10 617 2 "25"
LABEL -10 654 2 "26"
LABEL -10 685 2 "28"
LABEL -10 708 2 "29"
LABEL -10 738 2 "30"
LABEL -10 765 2 "34"
LABEL -10 795 2 "35"
LABEL -10 820 2 "36"
LABEL -10 848 2 "38"
LABEL -10 872 2 "40"
LABEL -10 901 2 "43"
LABEL -10 932 2 "44"
LABEL -10 961 2 "46"
LABEL -10 991 2 "48"
LABEL -10 1022 2 "51"
LABEL -10 1056 2 "52"
LABEL -10 1090 2 "56"
LABEL -10 1123 2 "60"
LABEL -10 1157 2 "70"
LABEL -10 1183 2 "88"
LABEL -10 1209 2 "90"
LABEL -10 1239 2 "98"
LABEL -10 1271 2 "102"
LABEL -10 1310 2 "112"
LABEL -10 1362 2 "126"
LABEL -10 1396 2 "204"
LABEL -10 1418 2 "220"
LABEL -10 1448 2 "408"
LABEL -10 1475 2 "510"
]]
[[ THEME Golly ]]
In other words, if a solid rectangle of cells has a length and width that are both 1 less than a power of 2, it is in the period of an oscillator with a period equal to the length minus the width.
Interestingly enough, the smallest member of this class of oscillators is the blinker, so these can be considered higher-period blinkers.
Code: Select all
x = 1627, y = 1627, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
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247b7o243b15o235b31o219b63o187b127o248$o249b3o247b7o243b15o235b31o219b
63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o
243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b
127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o
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7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b
127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o
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127o188$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b
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219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b
7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b
127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o
235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o
249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o
219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b
7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b
127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o
235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o
249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b7o243b15o235b31o
219b63o187b127o$o249b3o247b7o243b15o235b31o219b63o187b127o$o249b3o247b
7o243b15o235b31o219b63o187b127o!
[[ THEME Golly ]]
Growth:
A p102 glider gun has been discovered!
Code: Select all
x = 14, y = 12, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
9b3o$9b2o2bo$11b3o5$2o$2o$obo$2bo$b2o!
[[ THEME Golly ]]
Code: Select all
x = 84, y = 80, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
54b2o$54bobo$54b4o$53b2o$11b3obo37bo3bo$11b2o2b2o$14b2o36bo$11bo2b2obo
35b2o$12b3ob3o34b2o$11b8o33b2o$12bo3$2obobo$2o2b3o58bobo$o3b2o61b2o$2b
4o61bobo$4obo55b2o3b4o$bo2b2o54b3o2b2o$3b3o54bo2bo$4b2o5$47bo$46bo$46b
3o2$29bobo$30b2o$30bo$50bo$50bo$50bo20$55bo$56b2o$15b2o38b2o$14bobo$
15bo$15b2ob2o$15b3obo$18bo16$82bo$81bobo$82bo!
[[ THEME LifeHistory ]]
I will be putting some of the syntheses that have been done so far under here.
Credit to Yto on discord for these:
Code: Select all
x = 349, y = 253, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
3o$2bo$bo21$61bo$61bobo22bo$4b2o40bo14b2o23bobo$4bobo19bo19bobo37b2o
58b2o$4bo20b2o19b2o80b3o14b2o$25bobo100bo18bo$107b3o19bo$3o17b3o17b3o
17b3o17b3o17b3o4bo12b3o17b3o$2bo19bo19bo19bo19bo19bo5bo13bo19bo$bo19bo
19bo19bo19bo19bo19bo19bo28$185b3o4b3o$187bo4bo$186bo6bo$30b3o4b3o176b
3o4b3o$32bo4bo180bo4bo$3o28bo6bo51b3o4b3o24b3o4b3o83bo6bo$2bo89bo4bo
28bo4bo30b3o110b3o$bo6b3o49b3o28bo6bo26bo6bo29bo114bo22b3o$8bo53bo100b
o86b3o4b3o16bo25bo$9bo51bo190bo4bo43bo$3o31b3o29b3o4b3o17b3o24b3o27b3o
4b3o20b3o27b3o27b3o8bo6bo11b3o6b3o23b3o6b3o$2bo33bo31bo4bo21bo26bo29bo
4bo24bo29bo29bo29bo6bo27bo6bo$bo33bo31bo6bo19bo26bo29bo6bo22bo29bo29bo
29bo8bo25bo8bo14$271bo$270bo$270b3o2$225bo$185bo38bo$184bo39b3o$184b3o
5$308bobo$308b2o37bo$88b3o4b3o211bo36bo$90bo4bo250b3o$89bo6bo$41bo$bo
40bo7bo$2bo7bo29b3o6bo35b3o$3o6bo39b3o35bo$9b3o74bo$167b3o4b3o30b3o4b
3o$169bo4bo34bo4bo$168bo6bo32bo6bo4$128b3o$130bo2b3o4b3o$129bo5bo4bo
99b3o37b3o37b3o$134bo6bo100bo39bo39bo$241bo39bo39bo$9b3o37b3o$3o6bo30b
3o6bo30b3o37b3o37b3o37b3o40b3o4b3o31b3o6b3o28b3o4b3o$2bo7bo31bo7bo31bo
39bo39bo39bo42bo4bo35bo6bo32bo4bo$bo39bo39bo39bo39bo39bo42bo6bo33bo8bo
30bo6bo20$34bo$33bo$33b3o$30bo$29bo$29b3o29$3o$2bo$bo2$3b3o4b3o$5bo4bo
$4bo6bo29$27bo$26bo$26b3o4$15b3o227bo$17bo228bo$16bo227b3o$114b3o4b3o
54bo$116bo4bo57bo5bo$115bo6bo54b3o4bo$184b3o3$103b3o$4b3o98bo$6bo97bo$
5bo4$253b3o4b3o$255bo4bo$254bo6bo4$b3o$3bo$2bo46b3o194b3o$49bo149b3o
46bo$50bo148bo40b3o4bo$160b3o37bo41bo$80b2o80bo78bo$81b2o58b2o18bo$80b
o59b2o$142bo$160b3o$3o144b2o13bo38b3o63b3o$2bo143b2o13bo39bo65bo$bo
146bo53bo65bo!
[[ THEME Golly ]]
Some examples of syntheses from there:
Code: Select all
x = 340, y = 99, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
65bo67bo130bo74bo$64bo69b2o126b2o73b2o$64b3o66b2o128b2o73b2o3$296bo$
294bobo$295b2o2$322bo$322bobo$322b2o5$237bo4bo$235b2o4bo$236b2o3b3o5$
150b2o$o148b2o$b2o148bo$2o$56bo$55bo$55b3o$290b3o$292bo$110bo103b2o75b
o$110b2o103b2o$109bobo50b2o50bo$162bobo$162bo13$37bo$36bo$36b3o3$25bob
o$26b2o$26bo9bo$34b2o$35b2o8$181bo$181b2o$180bobo$268bo$267b2o$267bobo
25$75b2o$75bobo$75bo!
[[ THEME Golly ]]
A p102 signal splitter:
Code: Select all
x = 77, y = 55, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
42b2o$42b3o$44b2o$42bo2bo$45bo2$61bobo$62b3o$61b4o$31b2obo28b2o$31b2o
30b2o$32b2o$33b3o2$66bo$66bo3$66bo2$55bobo7bo6b4o$56b2o6bo7b5o$56bo7b
3o7b2o$74bobo29$3o$2bo$bo!
[[ THEME LifeHistory ]]
[[
LABELSIZE 6
LABEL 72 -13 2 "AND output"
LABEL 48 38 2 "NOT output"
]]
The tub eats gliders for breakfast:
Code: Select all
x = 118, y = 45, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
3bo13bo16bo$2bo13bo16bo$2b3o11b3o14b3o2$27bo$25bobo$bo13bo10b2o4bo$obo
11bobo14bobo$bo13bo16bo4b2o$37bobo$37bo2$12b3o14b3o$14bo16bo$13bo16bo
15$2bo18bo19bo13bo17bo$bo18bo19bo13bo17bo14bo23bo$b3o16b3o17b3o11b3o
15b3o11bo23bo$86b3o21b3o2$15bo$bo11bobo4bo19bo13bo17bo18bo13bo$obo11b
2o3bobo12b2o3bobo11bobo15bobo12bo4bobo9bobo4bo$bo18bo12bobo4bo13bo17bo
12bobo3b2o11b2o3bobo3b2o$35bo50bo23bo4bobo$115bo2$52b3o17b3o$54bo17bo
35b3o$53bo19bo36bo$109bo!
[[ THEME Golly ]]
Code: Select all
x = 17, y = 3, rule = B3aijnq4cz5aq6-ce/S23-aiky4-jktyz5acnq6an7e8
15bo$b2o11b3o$4o9b2obo!
[[ THEME Golly ]]