## Period 3 oscillator

For general discussion about Conway's Game of Life.

### Period 3 oscillator

This cropped up (or rather, a close variant) while I was looking at the debris behind a line puffer (with various 'obstacles' placed). Not seen one of these before:
`x = 10, y = 9, rule = B3/S234b2o\$2o2bo3b2o\$o8bo\$b8o2\$b8o\$o8bo\$2o2b2o2b2o\$4b2o!`

Interesting because it has a rotor of just 3 cells which I believe is the minimum for a p3. Can't find it on LifeWiki, closest relative seems to be the Cuphook. Has it got a name?

Actually I think a rotationally-symmetric variant is more attractive:
`x = 10, y = 9, rule = B3/S234b2o\$2o2bo3b2o\$o8bo\$b8o2\$b8o\$o8bo\$2o3bo2b2o\$4b2o!`
Pete-omino

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### Re: Period 3 oscillator

That IS cuphook, just with a different stator.
Stator variants aren’t new oscillators.
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Moosey

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### Re: Period 3 oscillator

Moosey wrote:That IS cuphook, just with a different stator.
Stator variants aren’t new oscillators.

...does that mean the blinker and bipole are considered to be fundamentally the same oscillator? They both have the exact same rotor, just different stators.
`bobo2b3o2b2o2bo3bobo\$obobobo3bo2bobo3bobo\$obobob2o2bo2bobo3bobo\$o3bobo3bo2bobobobo\$o3bob3o2b2o3bobo2bo!`

SuperSupermario24

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### Re: Period 3 oscillator

SuperSupermario24 wrote:
Moosey wrote:That IS cuphook, just with a different stator.
Stator variants aren’t new oscillators.

...does that mean the blinker and bipole are considered to be fundamentally the same oscillator? They both have the exact same rotor, just different stators.

I think those two were probably named before we had those conventions, but yeah. Also, (of course) the latter is extensible, so that might have contributed to different names too. I suppose their small sizes and radically different stators also made them seem more different.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

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### Re: Period 3 oscillator

Moosey wrote:Stator variants aren’t new rotors.

FTFY
she/they // Please stop using my full name. Refer to me as dani.

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danny

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### Re: Period 3 oscillator

Isn't that the definition of "stator variant"? lol

By the way cuphook, 123 and stillater are all notable oscillators but they are all on the wiki.
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testitemqlstudop

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### Re: Period 3 oscillator

Just for the record, Dani slightly altered what I said—
Moosey wrote:Stator variants aren’t new oscillators.

danny wrote:
Moosey wrote:Stator variants aren’t new rotors.

FTFY

Also,
testitemqlstudop wrote:By the way cuphook, 123 and stillater are all notable oscillators but they are all on the wiki.

Why shouldn’t they be?

Also,
Pete-omino wrote:This cropped up (or rather, a close variant) while I was looking at the debris behind a line puffer (with various 'obstacles' placed)

Now THAT is fairly unusual—this relative, for instace, has occurred exactly twice on Catagolue.
My rules:
They can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 1186
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.