Beehive at loaf
| Beehive at loaf | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 13 | ||||||||
| Bounding box | 7 × 6 | ||||||||
| Frequency class | 20.2 | ||||||||
| Static symmetry | C1 | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Beehive at loaf is a 13-cell still life composed of a diagonally-touching beehive and loaf.
Construction
Beehive at loaf is known to be constructible with 4 gliders.[1] A 4-glider synthesis was found in August 2017.[2] Several known syntheses can be found in Mark Niemiec's database.[3]
| A 4G synthesis[2] (click above to open LifeViewer) |
| A 5G synthesis[3] (click above to open LifeViewer) |
| A 5G synthesis[3] (click above to open LifeViewer) |
Occurrence
- See also: List of common still lifes
Beehive at loaf is the sixty-sixth most common still life in Achim Flammenkamp's census, being less common than cis-bookend and bun but more common than tub with long tail.[4]
It is the 64th most common still life on Adam P. Goucher's Catagolue, being less common than long shillelagh but more common than trans-bun and wing. It is the most common still life with 13 cells, being more common than cis-loaf on table.[5]
They sometimes appear when a bakery is suppressed by a three-cell leading edge of an object, but this is not the only way they form.
| Reaction described above in which an angel produces a blinker which suppresses a bakery (click above to open LifeViewer) RLE: here Plaintext: here |
There is a three-glider collision with beehive at loaf in the final pattern.[6] There is an occurrence of this still life in the ash of a collision between a glider and the B-heptomino sequence,[7] accounting for three other 3G collisions. Beehive at loaf occurs in final patterns of one collision between a glider and a stationary constellation catalogued in the octohash database[8] and 12 collisions catalogued in the octo3obj database.
See also
References
- ↑ xs13_g88m96z121 at Adam P. Goucher's Catagolue
- ↑ 2.0 2.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ 3.0 3.1 3.2 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-154.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.
- ↑ Final population 131, three escaping gliders, headerless RLE: 6bo$4b2o$5b2o$bo$2bo$3o120$85b3o$85bo$86bo!
- ↑ Final population 98, one escaping glider, headerless RLE: obo$b2o$bo37$35bo$34b3o$34bob2o!
- ↑ Final population 180, four escaping gliders, headerless RLE: 4bo$3bobo$3bobo$4bo2$5b3o$5bo$6bo3$3o!
External links
- Beehive at loaf at Adam P. Goucher's Catagolue
- The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-154.rle)
- 13.210 at Heinrich Koenig's Game of Life Object Catalogs