Achim's p4
Achim's p4 | |||||||||
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Pattern type | Oscillator | ||||||||
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Number of cells | 40 | ||||||||
Bounding box | 11 × 9 | ||||||||
Frequency class | 29.0 | ||||||||
Period | 4 | ||||||||
Mod | 4 | ||||||||
Heat | 4 | ||||||||
Volatility | 0.17 | ||||||||
Strict volatility | 0.17 | ||||||||
Discovered by | Achim Flammenkamp | ||||||||
Year of discovery | 1988 | ||||||||
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- For other uses of "cloverleaf", see Cloverleaf (disambiguation).
Achim's p4 (or cloverleaf) is a period-4 oscillator that was found in a less compact form (using two sombreros) by David Buckingham in 1976. The form shown here was found by Achim Flammenkamp in 1988.[1] The rotor is two copies of the rotor of 1-2-3-4, so the oscillator is sometimes called the dual 1-2-3-4.
Commonness
Achim's p4 is about the twenty-third most common naturally-occurring oscillator in Achim Flammenkamp's census.[2] On Catagolue, it is the third most common period 4 oscillator, being less common than mazing.[3]
Synthesis
An 8-glider synthesis of this oscillator was found by Jason Summers in September 2004.[4] In October 2010, Lewis Patterson found a predecessor of this oscillator that allows a 7-glider synthesis.[5][6] This was improved to 6 gliders by Chris Cain in March 2015.[7]
Image gallery
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on October 27, 2018.
- ↑ Jason Summers' jslife pattern collection. Retrieved on January 5, 2020.
- ↑ Lewis Patterson (October 17, 2010). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Matthias Merzenich (October 17, 2010). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Chris Cain (March 1, 2015). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
External links
- Achim's p4 at the Life Lexicon
- 40P4.9 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 29
- Natural periodic objects
- Oscillators with 40 cells
- Periodic objects with minimum population 40
- Patterns with 40 cells
- Patterns found by Achim Flammenkamp
- Patterns found in 1988
- Patterns that can be constructed with 6 gliders
- Oscillators
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 4
- Oscillators with volatility 0.17
- Oscillators with strict volatility 0.17
- Patterns with rectangular orthogonal symmetry