Cis-mirrored bookend
| Cis-mirrored bookend | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 14 | ||||||||
| Bounding box | 7 × 4 | ||||||||
| Frequency class | 18.7 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Cis-mirrored bookend is a 14-cell strict still life consisting of two mutually stabilising bookends. It is one of six ways in which two bookends can be arranged to create a still life, and one of the five which have two separate islands.
This specific isomer is named cis-mirrored due to the two inducting faces not being skewed from each other (hence mirrored), and the "denser" parts of each island are on the same side (hence cis). As such, it is the only one of the six with mirror symmetry.
This isomer is fequently simply referred to as "bookends" alone, however this is not recommended as to prevent potential confusion with the other possible isomers.
As a catalyst
Cis-mirrored bookends are very useful catalysts for symmetrical objects. Three objects are below: the most common natural period-29 oscillator, the canonical p40 pre-pulsar shuttle, and the original form of the p32 honey farm hassler.
| The three oscillators described above (click above to open LifeViewer) RLE: here Plaintext: here |
Commonness
Cis-mirrored bookend is the forty-sixth most common still life in Achim Flammenkamp's census, being less common than dead spark coil but more common than elevener.[1]
It is the 44th most common still life on Adam P. Goucher's Catagolue, being less common than fourteener but more common than cis-boat with tail. It is the 7th most common still life with 14 cells, being less common than fourteener but more common than cis-rotated bookend.[2]
In D2_+1 symmetry, it is the 13th most common still life, being about 450 times more common than in an asymmetric soup, and it is the second most common still life after dead spark coil that takes advantage of symmetry to be much more common.
Glider synthesis
All strict still lifes with a population of 22 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
References
- ↑ 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.
External links
- Cis-mirrored bookend at the Life Lexicon
- The 619 fourteen-bit still-lifes at Mark D. Niemiec's Life Page