Phoenix 1
Phoenix 1  
View animated image  
View static image  
Pattern type  Oscillator  

Oscillator type  Phoenix  
Number of cells  12  
Bounding box  8 × 8  
Frequency class  41.4  
Period  2  
Mod  1  
Heat  24  
Volatility  1.00  
Strict volatility  1.00  
Rotor type  Flutter  
Discovered by  MIT group  
Year of discovery  1971  
 
 
 

 This article is about the 12cell oscillator. For the general concept, see Phoenix.
Phoenix 1 (or flipflops^{[1]}) is a period2 oscillator that was discovered by the MIT group^{[2]} no later than September 1971.^{[3]} It is the smallest known phoenix as well as the first discovered phoenix, and is thus sometimes simply referred to as the phoenix.
Phoenix 1 consists of four identical threecell segments flutter chained in a loop. Other arrangements are possible, to generate larger period 2 phoenices as shown below. A single copy of this rotor can also be supported by a stator: this is an oscillator known as the griddle. The same rotor segment also appears in by flops and why not.
Despite its small size, it had not shown up naturally in soup until October 5, 2015, making it the last 12bit object to appear naturally;^{[4]} and another soup turned up with this object on October 23.^{[5]} Both of these soups were found by Tomas Rokicki using apgsearch.
In even 90° rotational symmetry (C4_4), it is much more common, being the thirtyfirst most common object and the fourth most common period2 oscillator according to Catagolue.
Commonness
 Main article: List of common oscillators
Information on this oscillator's natural occurrence with respect to other naturallyoccurring patterns is currently unknown.
Note that this section only concerns absolute natural occurrence  symmetric starting configurations are only counted as seminatural.
Glider synthesis
Martin Grant found a 6glider synthesis for this oscillator on March 1, 2015, based on a symmetric reaction from Bob Shemyakin.^{[6]}
Extensions
Phoenix 1 is trivial to extend, yielding an infinite family of volatility1 oscillators, an example shown below.
An extension of phoenix 1 (click above to open LifeViewer) RLE: here Plaintext: here 
See also
References
 ↑ "Flipflops". The Life Lexicon. Stephen Silver. Retrieved on June 21, 2011.
 ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
 ↑ Robert Wainwright (September 1971). Lifeline, vol 3, page 3.
 ↑ Adam P. Goucher (October 5, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
 ↑ Billabob (October 23, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
 ↑ Martin Grant (March 1, 2015). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
External links
 Phoenix 1 at the Life Lexicon
 Phoenix at Adam P. Goucher's Catagolue
 Phoenix 1 at Mark D. Niemiec's Life Page
 12P2.6 at Heinrich Koenig's Game of Life Object Catalogs
 Patterns
 Patterns with Catagolue frequency class 41
 Natural periodic objects
 Oscillators with 12 cells
 Periodic objects with minimum population 12
 Patterns with 12 cells
 Patterns found by MIT group
 Patterns found in 1971
 Patterns that can be constructed with 6 gliders
 Oscillators
 Phoenices
 Oscillators with period 2
 Oscillators with mod 1
 Oscillators with heat 24
 Oscillators with volatility 1.00
 Oscillators with strict volatility 1.00
 Oscillators with rotor Flutter
 Patterns with 90degree rotation symmetry
 Flipping oscillators