Difference between revisions of "Figure eight"

From LifeWiki
Jump to navigation Jump to search
(Picture/cell number changes)
m (templatified links and categories)
(36 intermediate revisions by 11 users not shown)
Line 1: Line 1:
{{Oscillator|p=8|c=12|name=Figure eight|pname=figureeight|discoverer=Simon Norton|discoveryear=1970|life105=true|life106=true|plaintext=true|rle=true|animated=yes}}
{{Oscillator
'''Figure eight''' 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>
|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}}. 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>
 
==As a building block for larger oscillators==
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 {{period|16|brief}}), [[caterer on figure eight]] (the smallest period {{period|24|brief}} oscillator), and [[figure eight on 36P22]] (period {{period|88|brief}}).
 
==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}}]]
 
==[[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 called the Figure Eight.  
Image:figureeightorigin.png|One of the phases of the oscillator, which led to both of its names.  
</gallery>
</gallery>


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


==References==
==References==
Line 14: Line 52:


==External links==
==External links==
[http://www.argentum.freeserve.co.uk/lex_f.htm#figure8 Figure eight] at the Life Lexicon
{{LinkWeisstein|filename=Figure8.html|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 00:01, 27 December 2019

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
View static image
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. 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.[2]

As a building block for larger oscillators

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 16), caterer on figure eight (the smallest period 24 oscillator), and figure eight on 36P22 (period 88).

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.

Figure eight acting as a reflector
RLE: here

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.[3] On Catagolue, it is the most common period 8 oscillator, being more common than blocker.[4]

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. ↑ Mark Niemiec (1998). "Life Period-8 Oscillators". Retrieved on February 5, 2009.
  3. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.

External links

Template:LinkWeisstein


Retrieved from "https://conwaylife.com/w/index.php?title=Figure_eight&oldid=66484"