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Gustone
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Post by Gustone »

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Last edited by Gustone on September 3rd, 2019, 1:37 pm, edited 1 time in total.
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Ian07
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Re: The defintion of "trivial" oscillators

Post by Ian07 »

This would still be considered trivial, as it is based on having cells oscillate at the full period. See Trivial p6-1 for example.
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Re: The defintion of "trivial" oscillators

Post by fluffykitty »

Also, if a p11 reaction created a block and a p2 reaction ate it, then the cells in the block probably oscillate at p22, so it's nontrivial. For example, this p59 blinker factory and this p2 oscillator produce a nontrivial p118 oscillator:

Code: Select all

x = 6, y = 22, rule = extendedlife
5.D8$2.E3$E$2.B$E3$2.E5$5.E!
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Re: The defintion of "trivial" oscillators

Post by Moosey »

An oscillator is trivial if no cell oscillates at the full period.
κ is measurable iff there is a nontrivial elementary embedding j:V→M (M transitive) with critical point κ
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Gustone
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