Figure eight
| 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.[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
- ↑ "Big beacon". The Life Lexicon. Stephen Silver. Retrieved on June 14, 2011.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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 23.4
- 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
- Domino sparkers
- Moderate sparkers
