Big S
| Big S | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 14 | ||||||||
| Bounding box | 7 × 6 | ||||||||
| Frequency class | 13.9 | ||||||||
| Discovered by | MIT group | ||||||||
| Year of discovery | 1971 | ||||||||
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- 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]
Occurrence
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 the 22nd most common still life on Adam P. Goucher's Catagolue, being less common than snake but more common than bi-pond. It is the 3rd most common still life with 14 cells, being less common than paperclip but more than 8 times as common as cis-mirrored bun.[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.
Almost all Big Ses are formed through the sequence that contains generation 16 of the following pi+boat collision, with the glider optional. It was reported by MIT group on Lifeline Volume 4.[7] A slightly different predecessor appears in a reaction between a fleet predecessor and a blinker.
| A pi-heptomino crashing into a boat makes a big S and a glider. (click above to open LifeViewer) RLE: here Plaintext: here |
| A fleet predecessor crashing into a blinker makes a big S and a ship-tie. (click above to open LifeViewer) |
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.
See also
References
- ↑ "Large S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
- ↑ "S-spiral". The Life Lexicon. Stephen Silver. Retrieved on May 22, 2009.
- ↑ "S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
- ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 5.
External links
- Big S at the Life Lexicon
- Big S at Adam P. Goucher's Catagolue
- The 619 fourteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 14/14-36.rle)
- Patterns
- Patterns with Catagolue frequency class 13
- Natural periodic objects
- Periodic objects with minimum population 14
- Patterns with 14 cells
- Patterns found by MIT group
- Patterns found in 1971
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 14 cells
- Patterns with 180-degree rotation symmetry