Diamond ring

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 ]]
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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 | 0.38
Kinetic symmetry	*c
Discovered by	David Buckingham
Year of discovery	1972
Rules Outer-totalistic rules B3/S23 – B378/S0235678 # of rules 27 = 128 Isotropic rules B3eiqy/S2ck3cey – B2ckn34-ejkwy5-y6-k78/S01c234-cty5678
Glider synthesis Fewest gliders 24† Catagolue-generated RLE synthesis Uploaded synthesis RLE diamondring_synth.rle †Can be constructed with 15 gliders using the reverse caber tosser universal constructor.
Pattern files Plaintext diamondring.cells RLE diamondring.rle
Identifiers apgcode xp3_wggc2l2cggz25a8i2d2i8a52zy012521 Pentadecathlon ID 40P3.15

Diamond ring is a period-3 billiard table oscillator that was found in 1972 by David Buckingham. 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.

Synthesis

In August 2004 Jason Summers found a 28-glider synthesis of a variation of this oscillator with an alternate stator. 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.

External links

• Diamond ring at the Life Lexicon

• Diamond ring at Adam P. Goucher's Catagolue

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