Period 3 oscillator

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Pete-omino
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Period 3 oscillator

Post by Pete-omino »

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:

Code: Select all

x = 10, y = 9, rule = B3/S23
4b2o$2o2bo3b2o$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:

Code: Select all

x = 10, y = 9, rule = B3/S23
4b2o$2o2bo3b2o$o8bo$b8o2$b8o$o8bo$2o3bo2b2o$4b2o!
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Moosey
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Re: Period 3 oscillator

Post by Moosey »

That IS cuphook, just with a different stator.
Stator variants aren’t new oscillators.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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SuperSupermario24
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Re: Period 3 oscillator

Post by SuperSupermario24 »

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.

Code: Select all

7b2o2bo4bobo$obob2o5bo2bo4bobo$2bo4bo2b2o3bo4b2o$2o2bobo3bob2obo3bo$ob
ob2obo3bobobob3obo$4bo6b2o3bobo2bo$2o2bo2b2o11bo!
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Moosey
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Re: Period 3 oscillator

Post by Moosey »

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.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
dani
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Re: Period 3 oscillator

Post by dani »

Moosey wrote:Stator variants aren’t new rotors.
FTFY
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testitemqlstudop
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Re: Period 3 oscillator

Post by testitemqlstudop »

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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Moosey
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Re: Period 3 oscillator

Post by Moosey »

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.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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Entity Valkyrie 2
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Re: Period 3 oscillator

Post by Entity Valkyrie 2 »

Stator variants aren't new oscillators, unless the period is 2.
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hkoenig
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Re: Period 3 oscillator

Post by hkoenig »

Entity Valkyrie 2 wrote:Stator variants aren't new oscillators, unless the period is 2.
They are "new oscillators", no matter what the period might be, but there appears to be little to no public interest in cataloging and trying to understand them.
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