## Statorless p3 oscillator

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Jason Summers
Posts: 36
Joined: July 23rd, 2009, 8:08 pm

### Statorless p3 oscillator

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:

Code: Select all

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
Posts: 28
Joined: July 12th, 2012, 6:43 am

### Re: Statorless p3 oscillator

Sokwe
Moderator
Posts: 1630
Joined: July 9th, 2009, 2:44 pm

### Re: Statorless p3 oscillator

chineseman wrote:your second one doesn't work.
It is a partial pattern to show how larger oscillators could be created. For example:

Code: Select all

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?
-Matthias Merzenich

Jason Summers
Posts: 36
Joined: July 23rd, 2009, 8:08 pm

### Re: Statorless p3 oscillator

Sokwe wrote: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
Moderator
Posts: 1630
Joined: July 9th, 2009, 2:44 pm

### Re: Statorless p3 oscillator

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!
-Matthias Merzenich