Trans-loaf with tail
Trans-loaf with tail | |||||||||
View static image | |||||||||
Pattern type | Strict still life | ||||||||
---|---|---|---|---|---|---|---|---|---|
Number of cells | 11 | ||||||||
Bounding box | 6 × 6 | ||||||||
Frequency class | 19.3 | ||||||||
Static symmetry | n (C1) | ||||||||
Discovered by | Unknown | ||||||||
Year of discovery | Unknown | ||||||||
| |||||||||
| |||||||||
| |||||||||
|
Trans-loaf with tail[1] or down loaf with tail[2] is an 11-cell still life.
This still life is comprised of the normally stable loaf with a normally unstable tail attached. This is one of two possible isomers, named trans due to most of the loaf facing outwards from the tail; the other isomer, cis-loaf with tail, has it tucked inwards.
Occurrence
Trans-loaf with tail is the forty-ninth most common still life in Achim Flammenkamp's census, being less common than block on cap but more common than cis-rotated bookend.[3]
It is the 50th most common still life on Adam P. Goucher's Catagolue, being less common than block on cap but more common than cis-shillelagh. It is the 3rd most common still life with 11 cells, being less common than elevener but more common than loaf siamese loaf.[4]
There are seven three-glider collisions with an occurrence of this still life in the ash.[note 1] This still life occurs in final patterns of two collisions in the octohash database[note 2] and 22 collisions in the octo3obj database.
Glider synthesis
- Main article: Glider synthesis
This still life is known to be constructible with 4 gliders.[5]
There is a small one-glider seed for this still life, consisting of two symmetrically placed eater 1s.[2] This constellation is also the only match for this still life in the octohash database.
A 4G synthesis[2] (click above to open LifeViewer) |
A 4G synthesis[2] (click above to open LifeViewer) |
A 1G seed[2] (click above to open LifeViewer) |
Notes
- ↑ One of seven collisions (headerless RLE: 6bo$4b2o$5b2o$bo$2bo$3o95$86b2o$85b2o$87bo!) has final population alternating betweeen 416 and 418, with 13 escaping gliders. The other 6 collisions all converge to the same sequence of a glider colliding with pi-heptomino (2bo$bobo$2ob2o12$8b3o$8bo$9bo!), with one escaping glider and final population 92.
- ↑ One of two collisions (8bo$6b3o$5bo$5b2o2$2b2o$bobo$bo3b2o$2o3bobo$5bo!) is a clean 1G seed; the other collision (2b2o$2bobo$3bo2$5b3o$2bo2bo$bobo2bo$obo$2o!) has final population 367 with 6 escaping gliders.
See also
References
- ↑ "Trans-loaf with tail". The Life Lexicon. Stephen Silver.
- ↑ 2.0 2.1 2.2 2.3 2.4 The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-4.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.
- ↑ xs11_ggm952z1 at Adam P. Goucher's Catagolue
External links
- Trans-loaf with tail at Adam P. Goucher's Catagolue
- The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-4.rle)
- 11.43 at Heinrich Koenig's Game of Life Object Catalogs