Block on cap: Difference between revisions
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== Commonness == | == Commonness == | ||
{{main|List of common still lifes}} | {{main|List of common still lifes}} | ||
Block on cap is the forty-eighth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[elevener]] but more common than [[trans-loaf with tail]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is | Block on cap is the forty-eighth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[elevener]] but more common than [[trans-loaf with tail]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> | ||
It is the 49th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[mirrored dock]] but more common than [[trans-loaf with tail]]. It is the 3rd most common still life with 12 cells, being less common than [[mirrored table]] but more common than [[trans-block on long bookend]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref> | |||
There are 3 collisions in the [[octohash database]]{{refn|Two out of three collisions converge to the same sequence after 9 ticks; the headerless RLEs are {{headerlessRLE|b2o$obo$bo3$2b2o$bo2bo2b2o$2bobob2o$3bo4bo!}} and {{headerlessRLE|b2o$obo$bo3$3bo$2bobo2b2o$bo2bob2o$2b2o4bo!}} Third collision is {{headerlessRLE|8b2o$7bobo$7b2o6$b2o$o2bo$o2bo$b2o2b2o$5bobo$5bo!}}}} and 35 collisions in the [[octo3obj database]] where the final pattern contains a block on cap along with other junk. | There are 3 collisions in the [[octohash database]]{{refn|Two out of three collisions converge to the same sequence after 9 ticks; the headerless RLEs are {{headerlessRLE|b2o$obo$bo3$2b2o$bo2bo2b2o$2bobob2o$3bo4bo!}} and {{headerlessRLE|b2o$obo$bo3$3bo$2bobo2b2o$bo2bob2o$2b2o4bo!}} Third collision is {{headerlessRLE|8b2o$7bobo$7b2o6$b2o$o2bo$o2bo$b2o2b2o$5bobo$5bo!}}}} and 35 collisions in the [[octo3obj database]] where the final pattern contains a block on cap along with other junk. | ||
Revision as of 13:44, 5 May 2023
| Block on cap | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 12 | ||||||||
| Bounding box | 4 × 6 | ||||||||
| Frequency class | 19.3 | ||||||||
| Static symmetry | Unspecified | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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Block on cap is a 12-cell still life composed of a cap being stabilized by a block.
Construction
| 4G syntheses[1][2] (click above to open LifeViewer) |
The block on cap can be constructed with 4 gliders. A number of known alternate syntheses can be found in Mark Niemiec's database.[2]
Commonness
- Main article: List of common still lifes
Block on cap is the forty-eighth most common still life in Achim Flammenkamp's census, being less common than elevener but more common than trans-loaf with tail.[3]
It is the 49th most common still life on Adam P. Goucher's Catagolue, being less common than mirrored dock but more common than trans-loaf with tail. It is the 3rd most common still life with 12 cells, being less common than mirrored table but more common than trans-block on long bookend.[4]
There are 3 collisions in the octohash database[5] and 35 collisions in the octo3obj database where the final pattern contains a block on cap along with other junk.
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: 12/12-27.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.
- ↑ Two out of three collisions converge to the same sequence after 9 ticks; the headerless RLEs are b2o$obo$bo3$2b2o$bo2bo2b2o$2bobob2o$3bo4bo! and b2o$obo$bo3$3bo$2bobo2b2o$bo2bob2o$2b2o4bo! Third collision is 8b2o$7bobo$7b2o6$b2o$o2bo$o2bo$b2o2b2o$5bobo$5bo!
External links
- Block on cap at Adam P. Goucher's Catagolue
- 12.2 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 19
- Natural periodic objects
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Robert Wainwright
- Patterns found by Everett Boyer
- Patterns found in 1973
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 12 cells