Diamond ring

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Diamond ring
x = 13, y = 13, rule = B3/S23 6bo$5bobo$4bobobo$4bo3bo$2b2o2bo2b2o$bo4bo4bo$obob2ob2obobo$bo4bo4bo$ 2b2o2bo2b2o$4bo3bo$4bobobo$5bobo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] [[ GPS 3 HEIGHT 480 ]]
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][2] Its generations have 40, 44, and 48 cells. 1 in 1.7 million odd-width eightfold symmetric soups (D8_1) form a diamond ring in the centre.

It serves as the logo of Shinjuku.


In August 2004 Jason Summers found a 28-glider synthesis of a variation of this oscillator with an alternate stator.[3] A 24-glider synthesis of the original version was later found by Jeremy Tan on March 29, 2019 based on a soup submitted to Catagolue.[4]


  1. Robert Wainwright (March 1973). Lifeline, vol 9, page 3.
  2. Dean Hickerson's oscillator stamp collection.
  3. Jason Summers' jslife pattern collection.
  4. Jeremy Tan (March 29, 2019). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links

  • 40P3.15 at Heinrich Koenig's Game of Life Object Catalogs