Block on cap: Difference between revisions

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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 also the fifty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
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 also the fifty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


== Glider synthesis ==
There are 3 collisions in the [[octohash database]] and 35 collisions in the [[octo3obj database]] where the final pattern contains a block on cap along with other junk.
{{Small constructible periodic object}}
 
== Construction ==
{{EmbedViewer
|rle          = x = 31, y = 16, rule = B3/S23
28bo$26b2o$27b2o2$19bo$19bobo$19b2o$3b2o$3bobo$2obobo$2ob2o2$28b2o$13b
3o12bobo$15bo12bo$14bo!
|viewerconfig = #C [[ THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 2 T 21 PAUSE 1 LOOP 22 ]]
|position    = center
|caption      = A 4G synthesis<ref>[https://conwaylife.com/ref/DRH/syntheses.html 2, 3, and 4-glider syntheses] on [[Dean Hickerson]]'s Life page</ref>
|style        = width:360px;
}}
 
The block on cap can be [[Glider synthesis|constructed]] with {{gliders|4|text=4 gliders}}. A number of known alternate syntheses can be found in [[Mark Niemiec's database]].<ref>{{LinkNiemiec|12/12-27.rle|patternname=12-27.rle|nobullet=nobullet}}</ref>


== See also ==
== See also ==

Revision as of 23:54, 22 October 2022

Block on cap
x = 4, y = 6, rule = B3/S23 2o$2o2$4o$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
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

Block on cap is a 12-cell still life composed of a cap being stabilized by a block.

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.[1] It is also the fifty-eighth most common object on Adam P. Goucher's Catagolue.[2]

There are 3 collisions in the octohash database and 35 collisions in the octo3obj database where the final pattern contains a block on cap along with other junk.

Construction

x = 31, y = 16, rule = B3/S23 28bo$26b2o$27b2o2$19bo$19bobo$19b2o$3b2o$3bobo$2obobo$2ob2o2$28b2o$13b 3o12bobo$15bo12bo$14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 2 T 21 PAUSE 1 LOOP 22 ]]
A 4G synthesis[3]
(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.[4]

See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  3. ↑ 2, 3, and 4-glider syntheses on Dean Hickerson's Life page
  4. ↑ 12-27.rle at Mark D. Niemiec's Life Page