- 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.
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] Stator variants with one[4] and three[5] bits added respectively are the fourth and eighth most common period-4 oscillators,[3] and an inflected version has also occurred naturally.[6]
Synthesis
An 8-glider synthesis of this oscillator was found by Jason Summers in September 2004.[7] In October 2010, Lewis Patterson found a predecessor of this oscillator that allows a 7-glider synthesis.[8][9] This was improved to 6 gliders by Chris Cain in March 2015.[10]
Image gallery
 The original, less compact form of Achim's p4 |
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.
- ↑ 3.0 3.1 Adam P. Goucher. "Census". Catagolue. Retrieved on October 27, 2018.
- ↑ Tanner Jacobi (November 8, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ gameoflifeboy (August 21, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ Aidan F. Pierce (April 27, 2016). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ 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
