Random Question about Catagolue

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Inferno
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Joined: June 25th, 2021, 9:02 am

Random Question about Catagolue

Post by Inferno » February 28th, 2022, 6:03 pm

I'm curious to know, what is the lowest oscillator period in any rule that hasn't turned up yet? I don't know how to check that, but it would be interesting to see what periods are unknown.

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yujh
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Re: Random Question about Catagolue

Post by yujh » March 2nd, 2022, 9:18 am

Lowest period oscillator? I assume p2 for non generation rules?
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

hotdogPi
Posts: 1814
Joined: August 12th, 2020, 8:22 pm

Re: Random Question about Catagolue

Post by hotdogPi » March 2nd, 2022, 9:22 am

I think Inferno is asking about the lowest period that doesn't exist all across Catagolue. The numbers up to 16 are all covered by Life in various symmetries. 17 almost certainly exists in some other rule. The question is the lowest number that doesn't appear in any rule.
User:HotdogPi/My discoveries

Periods discovered: 5-16,⑱,⑳G,㉑G,㉒㉔㉕,㉗-㉛,㉜SG,㉞㉟㊱㊳㊵㊷㊹㊺㊽㊿,54G,55G,56,57G,60,62-66,68,70,73,74S,75,76S,80,84,88,90,96
100,02S,06,08,10,12,14G,16,17G,20,26G,28,38,44,47,48,54,56,72,74,80,92,96S
217,300,486,576

S: SKOP
G: gun

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