Cis-rotated bookend
| Cis-rotated bookend | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 14 | ||||||||
| Bounding box | 7 × 5 | ||||||||
| Frequency class | 19.1 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Cis-rotated 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-rotated due to the two inducting faces being skewed from each other (hence rotated, as skewing forbids mirror symmetry), and the "denser" parts of each island are close to the outside (hence cis).
Commonness
Cis-rotated bookend is the fiftieth most common still life in Achim Flammenkamp's census, being less common than trans-loaf with tail but more common than trans-block on long bookend.[1]
It is the 46th most common still life on Adam P. Goucher's Catagolue, being less common than cis-boat with tail but more common than elevener. It is the 8th most common still life with 14 cells, being less common than cis-mirrored bookend but more common than trans-mirrored bun.[2]
Compared to Catagolue's typical 16×16 soups, the cis-rotated bookend is 59% more common in 8×8 soups and 21% more common in 10×10 soups; smaller soups are more likely to gain symmetry.
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
- The 619 fourteen-bit still-lifes at Mark D. Niemiec's Life Page