Big S

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Big S
x = 7, y = 6, rule = B3/S23 4b2o$3bo2bo$3bob2o$2obo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C Still life
Pattern type Strict still life
Number of cells 14
Bounding box 7 × 6
Frequency class 13.9
Discovered by MIT group
Year of discovery 1971
For other uses of 'S', see S (disambiguation).

Big S (or large S[1] or S-spiral[2] or simply S[3]) is a 14-cell still life discovered by the MIT group in 1971.[4]

Commonness

Big S is the twenty-second most common still life in Achim Flammenkamp's census, being less common than snake but more common than bi-pond.[5] It is also the twenty-ninth most common object on Adam P. Goucher's Catagolue.[6]

Because it usually forms from specific predecessors, the difference in frequency in asymmetric soups compared to C2_2 (the symmetry the object has) is almost negligible. Similarly, in rules that support the object but not its predecessors, such as HighLife, it is much less common.

Glider synthesis

There is a 3-glider collision that produces a constellation of a big S and a block, leading to a two-stage 4-glider synthesis for the still life. Other 4-glider collisions that make a clean big S are also known.

Gallery

x = 5, y = 8, rule = B3/S23 2o$obo$bo3$2b3o$2bobo$2bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 6 THUMBSIZE 2 STOP 16 WIDTH 800 ]]
Almost all Big Ses are formed through the sequence that contains
generation 16 of this pattern, with the glider optional.
This pi+boat collision was reported by MIT group on Lifeline Volume 4.[7]
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References

  1. "Large S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  2. "S-spiral". The Life Lexicon. Stephen Silver. Retrieved on May 22, 2009.
  3. "S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  4. Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
  5. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  6. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  7. Robert Wainwright (December 1971). Lifeline, vol 4, page 5.

External links