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]]}} | __NOTOC__{{Oscillator|p=8|c=12|h=16.5|v=1.00|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]]}} | ||
'''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> | '''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> | ||
Revision as of 20:05, 1 July 2011
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| Pattern type | Oscillator | ||||||
|---|---|---|---|---|---|---|---|
| Number of cells | 12 | ||||||
| Bounding box | 10 × 10 | ||||||
| Period | 8 | ||||||
| Mod | Unknown | ||||||
| Heat | 16.5 | ||||||
| Volatility | 1.00 | ||||||
| Strict volatility | Unknown | ||||||
| Discovered by | Simon Norton | ||||||
| Year of discovery | 1970 | ||||||
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Figure eight (or less frequently, big beacon[1]) is a period 8 oscillator found by Simon Norton in 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.[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]
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).
Image gallery
One of the phases of the oscillator, which led to it being named the Figure Eight.
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.
See also
References
- ↑ "Big beacon". The Life Lexicon. Stephen Silver. Retrieved on June 14, 2011.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Mark Niemiec (1998). "Life Period-8 Oscillators". Retrieved on February 5, 2009.
External links
- Figure-8 at the Life Lexicon