Beacon: Difference between revisions
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The beacon is the simplest [[on-off]]. Its [[rotor]], known as [[diagonal on-off]], can be supported by several different [[stator]]s: the two next-smallest are seen in [[eater plug]], [[mangled 1 beacon]] and [[21P2]]. | The beacon is the simplest [[on-off]]. Its [[rotor]], known as [[diagonal on-off]], can be supported by several different [[stator]]s: the two next-smallest are seen in [[eater plug]], [[mangled 1 beacon]] and [[21P2]]. | ||
A beacon in the | A beacon in the dense phase can trigger the [[boat-bit]] reaction. | ||
It can, in some sense, be considered a [[billiard table]].<ref name="post78873" /> | It can, in some sense, be considered a [[billiard table]].<ref name="post78873" /> | ||
Revision as of 16:20, 1 May 2021
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Babbling brook | ||||||||
| Family | Beacon | ||||||||
| Number of cells | 6 | ||||||||
| Bounding box | 4 × 4 | ||||||||
| Frequency class | 8.8 | ||||||||
| Period | 2 (mod: 2) | ||||||||
| Heat | 2 | ||||||||
| Volatility | 0.25 | 0.25 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Rotor type | Diagonal on-off | ||||||||
| Discovered by | John Conway | ||||||||
| Year of discovery | 1970 | ||||||||
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The beacon is a common period-2 oscillator, composed of two diagonally touching blocks. It was found by John Conway in March 1970.[1]
The beacon is the simplest on-off. Its rotor, known as diagonal on-off, can be supported by several different stators: the two next-smallest are seen in eater plug, mangled 1 beacon and 21P2.
A beacon in the dense phase can trigger the boat-bit reaction.
It can, in some sense, be considered a billiard table.[2]
The beacon is the third most common oscillator in Achim Flammenkamp's census (after the blinker and toad).[3] It is also the thirteenth most common object on Adam P. Goucher's Catagolue.[4] In D2 diagonal symmetry, it is the eighth most common object, being more common than the tub but less common than the ship.
In other rules
tlife and its related rules have the transition 4q, making beacon an 8-cell still life systematically named "block-tie".
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Dave Greene (July 3, 2019). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
External links
- Beacon at the Life Lexicon
- 6P2.2 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 8
- Natural periodic objects
- Oscillators with 6 cells
- Periodic objects with minimum population 6
- Patterns with 6 cells
- Patterns found by John Conway
- Patterns found in 1970
- Patterns that can be constructed with 3 gliders
- Oscillators
- Beacon variants
- Babbling brooks
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 2
- Oscillators with volatility 0.25
- Oscillators with strict volatility 0.25
- Oscillators with rotor Diagonal on-off
- Patterns with rectangular diagonal symmetry
- Eaters