Stable: Difference between revisions
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A pattern is '''unstable''' if it does not fit the above definition. | 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 | 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 stabilization of house. | ||
==References== | ==References== | ||
Revision as of 21:09, 19 August 2022
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A pattern is said to be stable if it is a still life or consists of still lifes; in other words, it is a parent of itself. For example, a stable reflector is a reflector that is a period-1 pattern.[1][2]
Period 1 is often abbreviated p1 connoting stable. In the context of logic circuitry, this tends to mean that a mechanism is constructed from Herschel conduits that contain only still lifes as catalysts.[3]
A pattern is said to be stabilized if all future generations can be predicted without evolving the pattern any further (trivially, a still life fits this definition). This includes patterns which evolve to stationary ash and optional spaceships escaping to infinity on non-interacting paths.
A pattern becomes stable at time T if it conforms to the above definition at time T.
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 stabilization of house.
References
- ↑ "Stable". The Life Lexicon. Stephen Silver.
- ↑ "Reflector". The Life Lexicon. Stephen Silver.
- ↑ "p1". The Life Lexicon. Stephen Silver.
External links
- Dave Greene (August 19, 2022). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums