Examples
In Conway's Game of Life, finite oscillators are known to exist for almost any period. The exceptions are 19, 23, 38, 41, 43, and 53. It is not known whether oscillators of those periods exist, but it is strongly believed that they do. Additionally, while oscillators exist for period 34, the only known examples are considered trivial because they consist of essentially separate components that oscillate at smaller periods. For instance, one can create a period 34 oscillator by placing period 2 and period 17 oscillators so that they do not interact. An oscillator is considered non-trivial if it contains at least one cell that oscillates at the necessary period.
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blinker, period 2
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star, period 3
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cross, period 3
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french kiss, period 3
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clock 2, period 4
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pinwheel, period 4
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octagon, period 5
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fumarole, period 5
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pentoad, period 5
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Kok's galaxy, period 8
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pentadecathlon, period 15
Read more about this topic: Oscillator (cellular Automaton)
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