Difference between revisions of "Figure eight"
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−  '''Figure eight''' (or less frequently, '''big [[beacon]]'''<ref>{{CiteLexiconfile=lex_b.htm#bigbeaconname=Big beaconaccessdate=June 14, 2011}}</ref>) is a [[period]] [[:Category:Oscillators with period 88]] [[oscillator]] found by [[:Category:Patterns found by Simon NortonSimon Norton]] in [[:Category:Patterns found in 19701970]]. With [[:Category:Patterns with 12 cells12]] [[cell]]s in its initial [[phase]], it is the smallest known period 8 oscillator, behind [[blocker]] at [[:Category:Patterns with 15 cells15]] cells. It is known that no period 8 oscillators exist with 10 or fewer cells.<ref>{{cite weburl=http://codercontest.com/mniemiec/p8osc.htm title=Life Period8 Oscillatorsauthor=Mark Niemiecdate=1998 accessdate=February 5, 2009}}</ref>  +  '''Figure eight''' (or less frequently, '''big [[beacon]]'''<ref>{{CiteLexiconfile=lex_b.htm#bigbeaconname=Big beaconaccessdate=June 14, 2011}}</ref> or '''lemniscate''') is a [[period]] [[:Category:Oscillators with period 88]] [[oscillator]] found by [[:Category:Patterns found by Simon NortonSimon Norton]] in [[:Category:Patterns found in 19701970]]. With [[:Category:Patterns with 12 cells12]] [[cell]]s in its initial [[phase]], it is the smallest known period 8 oscillator, behind [[blocker]] at [[:Category:Patterns with 15 cells15]] cells. It is known that no period 8 oscillators exist with 10 or fewer cells.<ref>{{cite weburl=http://codercontest.com/mniemiec/p8osc.htm title=Life Period8 Oscillatorsauthor=Mark Niemiecdate=1998 accessdate=February 5, 2009}}</ref> 
==As a building block for larger oscillators==  ==As a building block for larger oscillators== 
Latest revision as of 05:52, 5 March 2019
Figure eight  
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 Ttetson (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 90degree 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 naturallyoccurring oscillator in Achim Flammenkamp's census, being less common than the great onoff 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 Period8 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
 Figure8 at the Life Lexicon
 12P8.1 at Heinrich Koenig's Game of Life Object Catalogs
 Patterns
 Patterns with Catagolue frequency class 23.4
 Natural periodic objects
 Oscillators with 12 cells
 Patterns with 12 cells
 Patterns found by Simon Norton
 Patterns found in 1970
 Patterns that can be constructed with 4 gliders
 Oscillators
 Periodic objects with minimum population 12
 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