Class two cellular automata: Difference between revisions
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'''Class two''' cellular automata are those where the development of all patterns tends toward simple stationary [[ash]] — either constellations of separate [[still life]]s and [[oscillator]]s, or larger regions of stable and oscillating cells. | '''Class two''' cellular automata are those where the development of all patterns tends toward simple stationary [[ash]] — either constellations of separate [[still life]]s and [[oscillator]]s, or larger regions of stable and oscillating cells. | ||
A simple condition for considering a [[Life-like]] cellular automaton to be either class two or [[Class one cellular automata|class one]] is the absense of | A simple condition for considering a [[Life-like]] cellular automaton to be either class two or [[Class one cellular automata|class one]] is the absense of birth conditions capable of extending the pattern's [[bounding box]]: B0, B1, B2 or B3. Beyond this, positively identifying a rule as class two is mostly not an exact science. | ||
The [[Vote]] rule (B45678/S5678) is one of the better known class two cellular automata. | The [[Vote]] rule (B45678/S5678) is one of the better known provably class two cellular automata. | ||
Revision as of 13:51, 3 December 2014
Class two cellular automata are those where the development of all patterns tends toward simple stationary ash — either constellations of separate still lifes and oscillators, or larger regions of stable and oscillating cells.
A simple condition for considering a Life-like cellular automaton to be either class two or class one is the absense of birth conditions capable of extending the pattern's bounding box: B0, B1, B2 or B3. Beyond this, positively identifying a rule as class two is mostly not an exact science.
The Vote rule (B45678/S5678) is one of the better known provably class two cellular automata.