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Cellular Automata/Sandbox

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Some Definitions

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Quiescent state
A cell is in a quiescent state , if all cells in its neighborhood are the same quiescent state.
Nilpotent rule (of order n)
Any configuration evolves in at most steps into a configuration with all cells in any quiescent state .
Idempotent configuration (of order n)
A configuration that in at most steps evolves into a steady configuration (C^{t+1}=C^t).
Idempotent rule
A rule for which all configurations are idempotent.
Superluminal configuration
A configuration for which the phase speed is greater than the speed of light. The phase speed is the shift of the configuration per time.
Glider
Eather pattern
A background for gliders, sometimes the most common background.