Elevener
| Elevener | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 11 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Frequency class | 19.1 | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Elevener (or gull[1] or intentionless[2]) is an 11-cell still life. It consists of two siamesed eater 1s that share three cells of their tails while retaining both their glider-eating and boat-bit-catching capabilities.
Construction
| A 4G synthesis[3] (click above to open LifeViewer) |
An elevener can be formed by applying a banana spark to the tail of an eater 1; as both the construction of the eater 1 and the conversion to the elevener can be done in two gliders, a total of four gliders suffice to construct an elevener.[3] There is also a 3-glider collision that produces a constellation of an elevener, a block and a beehive,[note 1] leading to another two-stage 4-glider synthesis for the still life.
| Three conversions from a fishhook[3] (click above to open LifeViewer) |
| A two-stage 4G synthesis via an intermediate elevener+block+beehive constellation[note 1] (click above to open LifeViewer) |
Occurrence
Elevener is the forty-seventh most common still life in Achim Flammenkamp's census (the second-most common of its size, after the boat tie ship), being less common than cis-mirrored bookend but more common than block on cap.[4]
It is the 47th most common still life on Adam P. Goucher's Catagolue, being less common than cis-rotated bookend but more common than mirrored dock. It is the 2nd most common still life with 11 cells, being less common than boat tie ship but more common than trans-loaf with tail.[5]
The octohash database includes 11 collisions between a glider and a small constellation with an elevener in the ash, including 6 clean one-glider seeds.[note 2] An elevener also occurs in final patterns of 23 collisions in the octo3obj database.[note 3]
In other rules
In HighLife, the elevener is almost 60 times more common than it is in Life. In B34e/S23, it is even more common, as fleet predecessors evolve into two eleveners instead of two ship-ties.
| Elevener evolving from a block and a B-heptomino in HighLife (click above to open LifeViewer) |
See also
- Eater siamese eater
- Fourteener
- 70P26 and 94P53, using a catalyst involving an elevener
- 35P12.1, toggling between an elevener and a fishhook
References
- ↑ "Gull". The Life Lexicon. Stephen Silver. Retrieved on April 24, 2009.
- ↑ "Intentionless". The Life Lexicon. Stephen Silver. Retrieved on June 13, 2009.
- ↑ 3.0 3.1 3.2 The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-38.rle)
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
Notes
- ↑ 1.0 1.1 An elevener+block+beehive constellation with a 3G synthesis: xs21_g88e13z11zy933y24aa4
- ↑ All 6 clean 1G seeds in the octohash database involve an eater 1 → elevener conversion by a spark from a glider hitting a common object.
- ↑ 10 out of 23 octo3obj collisions converge to a sequence 8b2o2b2o$8b2ob2o$13bo$2o$2o2$2o$2o7b2o$9b2o! with final population 767. Two other collisions converge to the sequence 3o5b2o$8b2o3$3b3o2bo$7b2o$7bobo! with final population oscillating between 117 and 119. The remaining 11 collisions can all be distinguished by the final population.
External links
- Elevener at Adam P. Goucher's Catagolue
- Elevener at the Life Lexicon
- The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-38.rle)
- 11.22 at Heinrich Koenig's Game of Life Object Catalogs