Difference between revisions of "Oscillator"
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(nevermind, according to oscillizer it's actually trivial (middle cell only oscillates at p24, not p48)) 
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Latest revision as of 11:10, 11 February 2020
An oscillator is a pattern that is a predecessor of itself. That is, it is a pattern that repeats itself after a fixed number of generations (known as its period). The term is usually restricted to finite patterns that are not still lifes, though still lifes may be thought of as oscillators with period 1. An oscillator is divided into a rotor (the individual cells that actually oscillate) and a stator (the cells which remain alive throughout its whole period).
Cellular automaton theory recognizes shift periodicity, which refers to a configuration reappearing in shifted form after a lapse of one or more generations. Without the shift, it is an oscillator, but if it moves it would be called a spaceship.
Important oscillators by period
A list of the firstdiscovered oscillator of each period, as well the current smallestknown oscillator of that period, is provided here. Note that only nontrivial oscillators are considered here, in the sense that there must be at least one cell that oscillates at the full period. In some cases, it is not known for certain what the firstdiscovered oscillator of a given period is, and in such situations all possible candidates are listed. For any period 61 or greater an oscillator can be constructed using the Herschel track method. In April, 2013 Mike Playle found a small 90degree stable reflector known as the Snark that allows oscillators of all periods 43 or greater to be constructed.
See also
 List of common oscillators
 List of oscillators
 Omniperiodic
 Table of oscillators by period
 Oscillator periods status table
External links
 Oscillator at Wikipedia
 Oscillator at the Life Lexicon