Difference between revisions of "Figure eight"
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{{Oscillator | {{Oscillator | ||
|name | |name = Figure eight | ||
|pname | |pname = figureeight | ||
|c | |c = 12 | ||
|bx | |bx = 10 | ||
|by | |by = 10 | ||
|p | |fc = 23.4 | ||
|h | |p = 8 | ||
|v | |m = 8 | ||
|discoverer | |h = 16.5 | ||
|discoveryear = 1970 | |v = 1.00 | ||
|rulemin | |sv = 1.00 | ||
|rulemax | |discoverer = Simon Norton | ||
|rulespecial | |discoveryear = 1970 | ||
|synthesis | |rulemin = B3/S23 | ||
|synthesisRLE = true | |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 | ||
|animated | |synthesisRLE = true | ||
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]] | |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>) 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]]. 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://codercontest.com/mniemiec/p8osc.htm |title=Life Period-8 Oscillators|author=Mark Niemiec|date=1998 |accessdate=February 5, 2009}}</ref> | '''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]] [[:Category:Oscillators with period 8|8]] [[oscillator]] found by [[:Category:Patterns found by Simon Norton|Simon Norton]] in [[:Category:Patterns found in 1970|1970]]. 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://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== | ==As a building block for larger oscillators== | ||
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[[Image:Figure_eight_reflector.PNG|framed|center|Figure eight acting as a reflector<br />{{JavaRLE|figureeightasreflector|brief}}]] | [[Image:Figure_eight_reflector.PNG|framed|center|Figure eight acting as a reflector<br />{{JavaRLE|figureeightasreflector|brief}}]] | ||
==Commonness== | ==[[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> | 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== | ||
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==See also== | ==See also== | ||
*[[Kok's galaxy]] | *[[Kok's galaxy]] | ||
==References== | ==References== | ||
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{{LinkLexicon|filename=lex_f.htm#figure8|patternname=Figure-8}} | {{LinkLexicon|filename=lex_f.htm#figure8|patternname=Figure-8}} | ||
{{LinkCatagolue|xp8_gk2gb3z11|patternname=Figure-8}} | {{LinkCatagolue|xp8_gk2gb3z11|patternname=Figure-8}} | ||
{{LinkPentadecathlonObject|12P8.1}} | |||
{{Symmetry|diagonal4}} | {{Symmetry|diagonal4}} | ||
[[Category:Sparkers]] | |||
[[Category:Sparkers with period 8]] | |||
[[Category:Moderate sparkers]] | |||
[[Category:Domino sparkers]] | |||
__NOTOC__ | __NOTOC__ |
Revision as of 05:52, 5 March 2019
Figure eight | |||||||||
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Pattern type | Oscillator | ||||||||
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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 | ||||||||
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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.
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
See also
References
- ↑ "Big beacon". The Life Lexicon. Stephen Silver. Retrieved on June 14, 2011.
- ↑ Mark Niemiec (1998). "Life Period-8 Oscillators". Retrieved on February 5, 2009.
- ↑ 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 October 27, 2018.
External links
- Figure-8 at the Life Lexicon
- 12P8.1 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 23
- Natural periodic objects
- Oscillators with 12 cells
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Simon Norton
- Patterns found in 1970
- Patterns that can be constructed with 4 gliders
- Oscillators
- Oscillators with period 8
- Oscillators with mod 8
- Oscillators with heat 16
- Oscillators with volatility 1.00
- Oscillators with strict volatility 1.00
- Patterns with rectangular diagonal symmetry
- Sparkers
- Sparkers with period 8
- Moderate sparkers
- Domino sparkers