|View animated image|
|View static image|
|Number of cells||40|
|Discovered by||Achim Flammenkamp|
|Year of discovery||1988|
- 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. 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. On Catagolue, it is the third most common period 4 oscillator, being less common than mazing.
An 8-glider synthesis of this oscillator was found by Jason Summers in September 2004. In October 2010, Lewis Patterson found a predecessor of this oscillator that allows a 7-glider synthesis. This was improved to 6 gliders by Chris Cain in March 2015.
- 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
- 40P4.9 at Heinrich Koenig's Game of Life Object Catalogs