Cellular Automata/Sandbox

some definitionsEdit

Quiescent state
A cell is in a qiescent state a, if all cells in its neighborhood are the same quescent state.
 f(aaa \dots a) = a
Nilpotent rule (of order n)
Any configuration evolves in at most n steps into a configuration with all cells in any quiescent state a.
\forall C^t \; \Delta t \geq n \; : \; C^{t+\Delta t} = \dots aaa \dots
Idempotent configuration (of order n)
A configuration that in at most n steps evolves into a steady configuration (C^{t+1}=C^t).
\Delta t \geq n \; : \; C^{t+\Delta t} = C^{t+\Delta t+1}
Idempotent rule
A rule for which all configurations are idempotent.
\forall C^t \; \Delta t \geq n \; : \; C^{t+\Delta t} = C^{t+\Delta t+1}
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.
Eather pattern
A beckground for gliders, somethimes the most common bacground.
Last modified on 21 June 2006, at 22:41