Mirrored table
Mirrored table | |||||||||
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Pattern type | Strict still life | ||||||||
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Number of cells | 12 | ||||||||
Bounding box | 5 × 4 | ||||||||
Frequency class | 16.2 | ||||||||
Static symmetry | +e (D4_+2) | ||||||||
Discovered by | Unknown | ||||||||
Year of discovery | Unknown | ||||||||
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Mirrored table is a 12-cell still life. It consists of two tables facing each other with one row of dead cells between them.
One of the tables can be moved by two cells to the side, resulting in rotated table.
It is the only 12-cell still life to fit within a 5 × 4 bounding box.
Construction
4G syntheses[1][2] (click above to open LifeViewer) |
There are known 4-glider syntheses for a mirrored table; a number of known syntheses can be found in Mark Niemiec's database.[2]
The octohash database contains a constellation of two long boats which can serve as a one-glider seed for the mirrored table. The octo3obj database contains five other small constellations of common objects, each of which can also be used as a 1G seed for the mirrored table.
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Occurrence
- See also: List of common still lifes
Mirrored table is the thirtieth most common still life in Achim Flammenkamp's census, being less common than very long ship but more common than canoe.[3]
It is the 30th most common still life on Adam P. Goucher's Catagolue, being less common than tub with tail but more common than dead spark coil. It is the 2nd most common still life with 12 cells, being 392 times less common than ship-tie but 8 times as common as block on cap.[4]
There are 12 results in the octohash database (including one collision with two occurrences[5]), 25 results in the octo3g database, and 191 results in the octo3obj database with this still life occurring in the ash.
See also
References
- ↑ 2, 3, and 4-glider syntheses at Dean Hickerson's Life page
- ↑ 2.0 2.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-25.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.
- ↑ Headerless RLE: 4bo$3bobo$2bobo$2b2o3$b2o$obo$2o2$bo$2o$obo!
External links
- Mirrored table at Adam P. Goucher's Catagolue
- Mirrored table at the Life Lexicon
- 12.9 at Heinrich Koenig's Game of Life Object Catalogs