Difference between revisions of "Figure eight"

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__NOTOC__{{Oscillator|p=8|c=12|h=16.5|bx=10|by=10|name=Figure eight|pname=figureeight|discoverer=Simon Norton|discoveryear=1970|life105=true|life106=true|plaintext=true|rle=true|animated=yes|synthesis=4|synthesisRLE=true|rulemin=B3/S23|rulemax=B378/S237|rulespecial=[[Conway's Game of Life|Conway Life]]}}
{{Oscillator
'''Figure eight''' (or less frequently, '''big [[beacon]]'''<ref>{{cite web|url=http://www.argentum.freeserve.co.uk/lex_b.htm#bigbeacon |title=Big beacon |work=The Life Lexicon |publisher=Stephen Silver |accessdate=June 14, 2011}}</ref>) is a [[period]] [[:Category:Oscillators with period 8|8]] [[oscillator]] found by [[:Category:Patterns found by Simon Norton|Simon Norton]] in [[:Category:Patterns found in 1970|1970]]. It is the tenth most common naturally-occurring oscillator, being less common than the [[great on-off]] but more common than the [[spark coil]].<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=January 15, 2009}}</ref> With [[:Category:Patterns with 12 cells|12]] [[cell]]s in its initial [[phase]], it is the smallest known period 8 oscillator, behind [[blocker]] at [[:Category:Patterns with 15 cells|15]] cells. It is known that no period 8 oscillators exist with 10 or fewer cells.<ref>{{cite web|url=http://home.interserv.com/~mniemiec/p8osc.htm |title=Life Period-8 Oscillators|author=Mark Niemiec|date=1998 |accessdate=February 5, 2009}}</ref>
|name            = Figure eight
|pname            = figureeight
|c               = 12
|bx               = 10
|by               = 10
|fc              = 23.4
|p                = 8
|m                = 8
|h                = 16.5
|v                = 1.00
|sv              = 1.00
|discoverer      = Simon Norton
|discoveryear    = 1970
|rulemin         = B3/S23
|rulemax         = B378/S237
|rulespecial     = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3-jky/S2-e3acinq
|isorulemax      = B2ci34cikqtyz5-k6-n78/S234-jknqr5-aci6-e7
|synthesis        = 4
|synthesisRLE    = true
|plaintext        = true
|rle              = true
|apgcode          = xp8_gk2gb3z11
|pentadecathlonid = 12P8.1
|animated        = yes
|viewerconfig    = #C [[ GPS 4 THUMBSIZE 2 ]]
}}
'''Figure eight''' (or less frequently, '''big [[beacon]]'''<ref>{{CiteLexicon|file=lex_b.htm#bigbeacon|name=Big beacon|accessdate=June 14, 2011}}</ref> or '''lemniscate''') is a {{period|8}} [[oscillator]] found by [[Simon Norton]] in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> With {{cells|12}} [[cell]]s in its initial [[phase]], it is the smallest known period 8 oscillator, behind [[blocker]] at {{cells|15}} cells. It is known that no period 8 oscillators exist with 10 or fewer cells.<ref>{{cite web|url=http://codercontest.com/mniemiec/p8osc.htm |title=Life Period-8 Oscillators|author=Mark Niemiec|date=1998 |accessdate=February 5, 2009}}</ref>


Because it produces a domino [[spark]] in one of its phases, it is useful for constructing larger oscillators that have period that is a multiple of eight. For example, it appears in [[tumbling T-tetson]] (period 8), [[sailboat]] (period [[:Category:Oscillators with period 16|16]]), [[caterer on figure eight]] (the smallest period [[:Category:Oscillators with period 24|24]] oscillator), and [[figure eight on 36P22]] (period [[:Category:Oscillators with period 88|88]]).
Producing a [[domino]] [[spark]], it is useful for constructing larger oscillators with period that is a multiple of eight. For example, it appears in [[tumbling T-tetson]] (period 8), [[sailboat]] (period {{period|16|brief}}), [[caterer on figure eight]] (the smallest period {{period|24|brief}} oscillator), and [[figure eight on 36P22]] (period {{period|88|brief}}). It is also the key component in the [[p8 bouncer]].
 
==[[List of common oscillators|Commonness]]==
Figure eight is the tenth most [[common]] naturally-occurring oscillator in [[Achim Flammenkamp's census]], being less common than the [[great on-off]] but more common than the [[spark coil]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> On [[Catagolue]], it is the most common period 8 oscillator, being more common than [[blocker]].<ref>{{citeCatagolueStats|October 27, 2018}}</ref>


==Image gallery==
==Image gallery==
<gallery>
<gallery>
Image:figureeightorigin.png|One of the phases of the oscillator, which led to it being named the Figure Eight.  
Image:figureeightorigin.png|One of the phases of the oscillator, which led to both of its names.  
</gallery>
</gallery>
==As a reflector==
Figure eight has the ability to act as a 90-degree [[glider]] [[reflector]] when it is combined with a [[block]], [[boat]] and [[eater 1]]. The input path (in green) and output path (in red) of the glider are shown below.
[[Image:Figure_eight_reflector.PNG‎|framed|center|Figure eight acting as a reflector<br />{{JavaRLE|figureeightasreflector|brief}}]]


==See also==
==See also==
*[[Kok's galaxy]]
*[[Kok's galaxy]]
*[[List of common oscillators]]


==References==
==References==
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==External links==
==External links==
{{LinkWeisstein|filename=Figure8.html|patternname=Figure 8}}
{{LinkLexicon|filename=lex_f.htm#figure8|patternname=Figure-8}}
{{LinkLexicon|filename=lex_f.htm#figure8|patternname=Figure-8}}
{{LinkCatagolue|xp8_gk2gb3z11|patternname=Figure-8}}
{{LinkPentadecathlonObject|12P8.1}}
{{Symmetry|diagonal4}}
{{Sparker|p=8|type=domino|strength=moderate}}
__NOTOC__

Revision as of 01:33, 3 December 2020

Figure eight
2o$2obo$4bo$bo$2bob2o$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 4 THUMBSIZE 2 ]]
View animated image
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Pattern type Oscillator
Number of cells 12
Bounding box 10 × 10
Frequency class 23.4
Period 8
Mod 8
Heat 16.5
Volatility 1.00
Strict volatility 1.00
Discovered by Simon Norton
Year of discovery 1970

Figure eight (or less frequently, big beacon[1] or lemniscate) is a period-8 oscillator found by Simon Norton in 1970.[2] With 12 cells in its initial phase, it is the smallest known period 8 oscillator, behind blocker at 15 cells. It is known that no period 8 oscillators exist with 10 or fewer cells.[3]

Producing a domino spark, it is useful for constructing larger oscillators with period that is a multiple of eight. For example, it appears in tumbling T-tetson (period 8), sailboat (period 16), caterer on figure eight (the smallest period 24 oscillator), and figure eight on 36P22 (period 88). It is also the key component in the p8 bouncer.

Commonness

Figure eight is the tenth most common naturally-occurring oscillator in Achim Flammenkamp's census, being less common than the great on-off but more common than the spark coil.[4] On Catagolue, it is the most common period 8 oscillator, being more common than blocker.[5]

Image gallery

  • One of the phases of the oscillator, which led to both of its names.

See also

References

  1. ↑ "Big beacon". The Life Lexicon. Stephen Silver. Retrieved on June 14, 2011.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. ↑ Mark Niemiec (1998). "Life Period-8 Oscillators". Retrieved on February 5, 2009.
  4. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  5. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Figure_eight&oldid=75297"