Statorless p3 oscillator

[Jason Summers]

I found this p3 oscillator that has no stable cells. I think it's the first one known.

Code: Select all

x = 31, y = 28, rule = B3/S23
9bobo5bo3bo5bobo$8bo3bo4bo3bo4bo3bo$9bo7bo3bo7bo$11b2ob2obo3bob2ob2o$
17bo3bo$10bo3bo9bo3bo$8bobo17bobo2$8bo19bo$7b2o18b2o$7bo19bo$5bo2bo16b
o2bo$o4bo14bo4bo$4ob2ob3o9b4ob2ob3o$3ob2ob4o9b3ob2ob4o$5bo4bo14bo4bo$
2bo2bo16bo2bo$3bo19bo$2b2o18b2o$2bo19bo2$obo17bobo$2bo3bo9bo3bo$9bo3bo
$3b2ob2obo3bob2ob2o$bo7bo3bo7bo$o3bo4bo3bo4bo3bo$bobo5bo3bo5bobo!

Larger specimens can be made using these components:

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x = 66, y = 18, rule = B3/S23
53bo3bo$48bo4bo3bo4bo$33bobo5bo3bo7bo3bo7bo$32bo3bo4bo3bob2ob2obo3bob
2ob2obo$33bo7bo3bo7bo3bo7bo$35b2ob2obo3bo4bo9bo4bo$41bo3bo19bo$34bo3bo
$32bobo$o30bo$o4bo28bo$o7bo3bo18bobo$ob2ob2obo3bo4bo9bo3bo$o7bo3bo7bo
3bo$3bo4bo3bob2ob2obo3bob2ob2o$8bo3bo7bo3bo7bo$15bo4bo3bo4bo3bo$20bo3b
o5bobo!

[chineseman]

your second one doesn't work.

[Sokwe]

your second one doesn't work.

It is a partial pattern to show how larger oscillators could be created. For example:

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x = 100, y = 43, rule = B3/S23
46bobo5bo3bo$45bo3bo4bo3bo4bo$46bo7bo3bo7bo3bo$48b2ob2obo3bob2ob2obo3b
o4bo$54bo3bo7bo3bo7bo3bo5bobo$47bo3bo9bo4bo3bob2ob2obo3bo4bo3bo$45bobo
18bo3bo7bo3bo7bo$44bo28bo4bo3bob2ob2o$47bo30bo3bo$44bobo38bo3bo$40bo3b
o44bobo$bobo5bo3bo19bo3bo$o3bo4bo3bo4bo9bo4bo3bob2ob2o47bo$bo7bo3bo7bo
3bo7bo3bo7bo45b2o$3b2ob2obo3bob2ob2obo3bob2ob2obo3bo4bo3bo45bo$9bo3bo
7bo3bo7bo3bo5bobo45bo2bo$2bo3bo9bo4bo3bo4bo63bo4bo$obo18bo3bo63b3ob2ob
4o$89b4ob2ob3o$2bo86bo4bo$2b2o90bo2bo$3bo92bo$2bo2bo90b2o$5bo4bo86bo$
3ob2ob4o$4ob2ob3o63bo3bo18bobo$o4bo63bo4bo3bo4bo9bo3bo$5bo2bo45bobo5bo
3bo7bo3bo7bo3bo$7bo45bo3bo4bo3bob2ob2obo3bob2ob2obo3bob2ob2o$7b2o45bo
7bo3bo7bo3bo7bo3bo7bo$8bo47b2ob2obo3bo4bo9bo4bo3bo4bo3bo$62bo3bo19bo3b
o5bobo$8bobo44bo3bo$10bo3bo38bobo$17bo3bo30bo$11b2ob2obo3bo4bo28bo$9bo
7bo3bo7bo3bo18bobo$8bo3bo4bo3bob2ob2obo3bo4bo9bo3bo$9bobo5bo3bo7bo3bo
7bo3bo$24bo4bo3bob2ob2obo3bob2ob2o$29bo3bo7bo3bo7bo$36bo4bo3bo4bo3bo$
41bo3bo5bobo!

@Jason
Are there any known p4 oscillators in which every cell oscillates at period-4?

[Jason Summers]

Are there any known p4 oscillators in which every cell oscillates at period-4?

No, the only such periods known to me are 1, 2, 3, 6, 8, 13, 15, 30, 33, and 177.

[Sokwe]

There is also this period-22 oscillator discovered by Nicolay Beluchenko:

Code: Select all

x = 16, y = 16, rule = B3/S23
11b2o$10bobo$2bo5bo4bo$2ob2o2b2obobo$o7bo3bo$bobo2$2b3o7bo$3bo7b3o2$
12bobo$3bo3bo7bo$3bobob2o2b2ob2o$2bo4bo5bo$3bobo$3b2o!