Difference between revisions of "Beacon"
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{{Oscillator | {{Oscillator | ||
The '''beacon''' is | |name = Beacon | ||
|pname = beacon | |||
|family = Beacon | |||
|f1 = Babbling brook | |||
|c = 6 | |||
|bx = 4 | |||
|by = 4 | |||
|fc = 8.8 | |||
|p = 2 | |||
|m = 2 | |||
|h = 2 | |||
|v = 0.25 | |||
|rotor = Diagonal on-off | |||
|discoverer = John Conway | |||
|discoveryear = 1970 | |||
|rulemin = B3/S23 | |||
|rulemax = B35678/S235678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B3a/S2ae3a | |||
|isorulemax = B2-an34-w5678/S01234-q5678 | |||
|synthesis = 3 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|apgcode = xp2_318c | |||
|pentadecathlonid = 6P2.2 | |||
|animated = true | |||
|viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]] | |||
}} | |||
The '''beacon''' is a common {{period|2}} [[oscillator]], composed of two diagonally touching [[block]]s. It was found by [[John Conway]] in March {{year|1970}}. | |||
The beacon is the simplest [[on-off]]. Its [[rotor]], known as [[diagonal on-off]], can be supported by several different | 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 right phase can trigger the [[boat-bit]] reaction. | |||
A beacon can | |||
[[ | It can, in some sense, be considered a [[billiard table]].<ref name="post78873" /> | ||
==[[List of common oscillators|Commonness]]== | |||
The beacon is the third most [[common]] [[oscillator]] in [[Achim Flammenkamp's census]] (after the [[blinker]] and [[toad]]).<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the thirteenth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref> | |||
==In other rules== | |||
[[tlife]] and its related rules have the transition [[Isotropic non-totalistic Life-like cellular automaton|4q]], making beacon an 8-cell [[still life]] systematically named "block-tie". | |||
==See also== | ==See also== | ||
*[[Beacon maker]] | *[[Beacon maker]] | ||
==References== | ==References== | ||
<references /> | <references> | ||
<ref name="post78873">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Thread for basic questions | |||
|p = 78873 | |||
|author = Dave Greene | |||
|date = July 3, 2019 | |||
}}</ref> | |||
</references> | |||
==External links== | ==External links== | ||
{{LinkWeisstein|Beacon.html}} | {{LinkWeisstein|Beacon.html}} | ||
{{LinkLexicon|lex_b.htm#beacon}} | {{LinkLexicon|lex_b.htm#beacon}} | ||
{{LinkCatagolue|xp2_318c}} | |||
{{LinkPentadecathlonObject|6P2.2}} | |||
{{Symmetry|diagonal4}} | |||
[[Category:Eaters]] | [[Category:Eaters]] | ||
__NOTOC__ |
Revision as of 15:49, 8 September 2019
Beacon | |||||||||
View animated image | |||||||||
View static image | |||||||||
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 | ||||||||
Strict volatility | 0.25 | ||||||||
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.
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 right phase can trigger the boat-bit reaction.
It can, in some sense, be considered a billiard table.[1]
Commonness
The beacon is the third most common oscillator in Achim Flammenkamp's census (after the blinker and toad).[2] It is also the thirteenth most common object on Adam P. Goucher's Catagolue.[3]
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
- ↑ 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