Difference between revisions of "Blinker"

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|viewerconfig    = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
 
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The '''blinker''' is the smallest and most [[common]] [[oscillator]], found by [[:Category:Patterns found by John Conway|John Conway]] in March [[:Category:Patterns found in 1970|1970]]. It is one of only a handful of known oscillators that is a [[polyomino]], and it is the only known ''finite'' oscillator that is [[one-cell-thick pattern|one cell thick]] (although the [[pentadecathlon]] is "almost" one cell thick in that there is a one cell thick pattern that is a [[grandparent]] of it, and the infinite version of the [[snacker]] is one cell thick).
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The '''blinker''' is the smallest and most [[common]] [[oscillator]], found by [[John Conway]] in March {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It is one of only a handful of known oscillators that is a [[polyomino]], and it is the only known ''finite'' oscillator that is [[one-cell-thick pattern|one cell thick]] (although the [[pentadecathlon]] is "almost" one cell thick in that there is a one cell thick pattern that is a [[grandparent]] of it, and the infinite version of the [[worker bee]] is one cell thick).
  
 
Blinkers are very commonly formed in [[Familiar fours|a set of four]] called the [[traffic light]]; they can similarly be born in two potential sets of six, the [[interchange]]s. There is also a fairly common constellation of four blinkers and two [[boat-tie]]s.
 
Blinkers are very commonly formed in [[Familiar fours|a set of four]] called the [[traffic light]]; they can similarly be born in two potential sets of six, the [[interchange]]s. There is also a fairly common constellation of four blinkers and two [[boat-tie]]s.
  
When phased correctly, blinkers can provide a purpose similar to an [[induction coil]] as seen on the [[overweight emulator]], and can sometimes be positioned so that it either contacts the oscillating segment directly or is one block away from it similarly to normal induction coils.
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When phased correctly, blinkers can provide a purpose similar to an [[induction coil]] as seen on the [[overweight emulator]], and can sometimes be positioned so that it either contacts the oscillating segment directly or is one cell away from it similarly to normal induction coils.
  
 
The blinker can also be a stationary segment known as "line" in certain still lifes; the most basic of these being [[integral sign]] but can also be used to connect any number of [[pre-block]]s, [[tub]]s, [[beehive]]s, [[loaf|l]]oaves, [[mango]]es, [[hook]]s, [[claw]]s, etc. together. One example is [[boat line tub]].
 
The blinker can also be a stationary segment known as "line" in certain still lifes; the most basic of these being [[integral sign]] but can also be used to connect any number of [[pre-block]]s, [[tub]]s, [[beehive]]s, [[loaf|l]]oaves, [[mango]]es, [[hook]]s, [[claw]]s, etc. together. One example is [[boat line tub]].
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The blinker can function as a transparent catalyst in a certain reaction where it is converted into a traffic light predecessor, which a [[fishhook]] (or another catalyst that engages in the same type of catalyzing reaction, such as an [[eater 2]]) then converts back to a blinker in the same position. This rephases the blinker, so it can only be used in odd-period oscillators, such as  [[66P13]] and the [[p47 pre-pulsar shuttle]]. In addition, [[worker bee]] and [[50P35]] involve a similar reaction.
  
 
==[[List of common oscillators|Commonness]]==
 
==[[List of common oscillators|Commonness]]==
 
The blinker is more than one hundred times as common in [[Achim Flammenkamp's census]] as the second most common oscillator, the [[toad]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> The blinker is also the second most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
 
The blinker is more than one hundred times as common in [[Achim Flammenkamp's census]] as the second most common oscillator, the [[toad]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> The blinker is also the second most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
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==Image gallery==
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{|
 +
|{{EmbedViewer
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|rle          = o$2o$obo$bo!
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|position    = center
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|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]]
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|caption      = A common sequence that becomes a single edgeshot blinker.
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}}
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|}
  
 
==See also==
 
==See also==
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==External links==
 
==External links==
{{LinkWeisstein|Blinker.html}}
 
 
{{LinkLexicon|lex_b.htm#blinker}}
 
{{LinkLexicon|lex_b.htm#blinker}}
 
{{LinkCatagolue|xp2_7}}
 
{{LinkCatagolue|xp2_7}}

Latest revision as of 12:53, 13 June 2021

Blinker
3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
Pattern type Oscillator
Oscillator type Muttering moat
Family Clock
Number of cells 3
Bounding box 3×3
Frequency class 0.1
Period 2
Mod 1
Heat 4
Volatility 0.80
Strict volatility 0.80
Rotor type Pole 2
Discovered by John Conway
Year of discovery 1970

The blinker is the smallest and most common oscillator, found by John Conway in March 1970.[1] It is one of only a handful of known oscillators that is a polyomino, and it is the only known finite oscillator that is one cell thick (although the pentadecathlon is "almost" one cell thick in that there is a one cell thick pattern that is a grandparent of it, and the infinite version of the worker bee is one cell thick).

Blinkers are very commonly formed in a set of four called the traffic light; they can similarly be born in two potential sets of six, the interchanges. There is also a fairly common constellation of four blinkers and two boat-ties.

When phased correctly, blinkers can provide a purpose similar to an induction coil as seen on the overweight emulator, and can sometimes be positioned so that it either contacts the oscillating segment directly or is one cell away from it similarly to normal induction coils.

The blinker can also be a stationary segment known as "line" in certain still lifes; the most basic of these being integral sign but can also be used to connect any number of pre-blocks, tubs, beehives, loaves, mangoes, hooks, claws, etc. together. One example is boat line tub.

The blinker can function as a transparent catalyst in a certain reaction where it is converted into a traffic light predecessor, which a fishhook (or another catalyst that engages in the same type of catalyzing reaction, such as an eater 2) then converts back to a blinker in the same position. This rephases the blinker, so it can only be used in odd-period oscillators, such as 66P13 and the p47 pre-pulsar shuttle. In addition, worker bee and 50P35 involve a similar reaction.

Commonness

The blinker is more than one hundred times as common in Achim Flammenkamp's census as the second most common oscillator, the toad.[2] The blinker is also the second most common object on Adam P. Goucher's Catagolue.[3]

Image gallery

o$2o$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
A common sequence that becomes a single edgeshot blinker. (click above to open LifeViewer)

See also

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

External links

  • 3P2.1 at Heinrich Koenig's Game of Life Object Catalogs