Diamond ring
From LifeWiki
Diamond ring  
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Pattern type  Oscillator  

Oscillator type  Billiard table  
Number of cells  40  
Bounding box  13×13  
Period  3  
Mod  3  
Heat  13.3  
Volatility  0.38  
Strict volatility  0.38  
Discovered by  David Buckingham  
Year of discovery  1972  
 
 
 

Diamond ring is a period 3 oscillator that was found in 1972 by David Buckingham.^{[1]} Its generations have 40, 44, and 48 cells.
It serves as the logo of Shinjuku.
Synthesis
In August 2004 Jason Summers found a 28glider synthesis of a variation of this oscillator with an alternate stator.^{[2]} A 24glider synthesis of the original version was later found by Jeremy Tan on March 29, 2019 based on a soup submitted to Catagolue.^{[3]}
References
 ↑ Dean Hickerson's oscillator stamp collection.
 ↑ Jason Summers' jslife pattern collection.
 ↑ Jeremy Tan. Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
 Diamond ring at the Life Lexicon
 40P3.15 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
 Patterns
 Oscillators with 40 cells
 Patterns with 40 cells
 Patterns found by David Buckingham
 Patterns found in 1972
 Patterns that can be constructed with 24 gliders
 Oscillators
 Periodic objects with minimum population 40
 Billiard tables
 Oscillators with period 3
 Oscillators with mod 3
 Oscillators with heat 13
 Oscillators with volatility 0.38
 Oscillators with strict volatility 0.38
 Patterns with complete square symmetry
 Seminatural periodic objects