Stable: Difference between revisions
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{{glossary}} | |||
A pattern is '''stable''' if all future [[generation]]s can be predicted accurately without [[evolution|evolving]] the pattern any further (trivially, a [[still life]] fits this definition and stable is an anachronistic synonym for still life). This includes patterns which evolve to stationary [[ash]] and optional [[spaceship]]s escaping to infinity on non-interacting paths.<ref name="post149831" /> | |||
A pattern becomes stable at time T if it conforms to the above definition at time T.<ref name="post149831" /> | |||
A pattern is '''unstable''' if it does not fit the above definition. | |||
Pattern B (the '''stabilizer''') is said to '''stabilize''' unstable pattern A if, when A and B are properly positioned, the resulting pattern is stable. This is known as a '''stabilization''' of A. For example, a [[shillelagh]] (B) stabilizes an unstable [[house]] (A), producing the [[house siamese shillelagh]] still life, which is a stabilzation of house. | |||
==References== | |||
<references> | |||
<ref name="post149831"> | |||
{{LinkForumThread | |||
|format=ref | |||
|title=Re: Thread for basic questionss | |||
|author=Dave Greene | |||
|p=149831 | |||
|date=August 19, 2022 | |||
}} | |||
</ref> | |||
</references> | |||
Revision as of 18:49, 19 August 2022
A pattern is stable if all future generations can be predicted accurately without evolving the pattern any further (trivially, a still life fits this definition and stable is an anachronistic synonym for still life). This includes patterns which evolve to stationary ash and optional spaceships escaping to infinity on non-interacting paths.[1]
A pattern becomes stable at time T if it conforms to the above definition at time T.[1]
A pattern is unstable if it does not fit the above definition.
Pattern B (the stabilizer) is said to stabilize unstable pattern A if, when A and B are properly positioned, the resulting pattern is stable. This is known as a stabilization of A. For example, a shillelagh (B) stabilizes an unstable house (A), producing the house siamese shillelagh still life, which is a stabilzation of house.
References
- ↑ 1.0 1.1 Dave Greene (August 19, 2022). Re: Thread for basic questionss (discussion thread) at the ConwayLife.com forums