Aircraft carrier

From LifeWiki
Jump to navigation Jump to search
Aircraft carrier
x = 4, y = 3, rule = B3/S23 2b2o$o2bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 60 ]]
Pattern type Strict still life
Number of cells 6
Bounding box 4 × 3
Frequency class 12.0
Static symmetry C2_2
Discovered by John Conway
Year of discovery 1970

Aircraft carrier (or simply carrier) is a 6-cell still life, and the smallest still life that has more than one island. It consists of two pre-blocks.

Occurrence

See also: List of common still lifes, Most common objects on Catagolue

Aircraft carrier is the fifteenth most common still life in Achim Flammenkamp's census, being less common than long barge but more common than paperclip.[1]

Aircraft carrier is the fifteenth most common still life on Adam P. Goucher's Catagolue, being less common than long barge but more common than paperclip. Among all still lifes with 6 cells, it is the fourth most common, being less common than barge but more common than snake.[2] It is also the twentieth most common object overall on Catagolue.

Glider synthesis

Main article: Glider synthesis

A number of ways of constructing an aircraft carrier can be found in Mark Niemiec's glider synthesis database.[3]

There are three 3-glider collisions that produce an aircraft carrier as well as another object. The first one leaves a stray block, the second a beehive and the third a blinker, leading to three two-stage four-glider syntheses for the still life. Other 4-glider collisions that make a clean aircraft carrier are also known.

x = 15, y = 8, rule = B3/S23 2b2o$3bo$3bobo$4b2o2$b2o10bo$o2bo8b2o$b2o9bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 39 PAUSE 1 LOOP 40 ]]
A one-glider seed for the aircraft carrier from the octohash database
(click above to open LifeViewer)
x = 14, y = 6, rule = B3/S23 12bo$11bo$2o9b3o$b2o$2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 20 PAUSE 1 LOOP 21 ]]
A B-heptomino+glider collision evolves to a block and an aircraft carrier
(click above to open LifeViewer)

Use in larger still lifes

Pre-blocks in an aircraft carrier configuration are commonly used for stabilization. Sometimes, but not always, a snake is equivalent, such as the disconnected portion of 55P10 and the yellow aircraft carrier in the image below. Other times, such as the line-of-five part of 31.4 or the light pink motif below, an aircraft carrier is the unique smallest thing that works. The common theme is that the green region is typically one with birth on B3j; the lower blue cell must have something adjacent to prevent it from turning on, but the upper blue cell must have only one cell, not two, touching it to prevent it from turning on, and the live cell to the right of the lower blue cell must not have any more neighbouring cells to prevent it from dying of overpopulation.

x = 7, y = 9, rule = LifeSuper 3.2E$4.E$2.E$2.2EB$4.B2A$2C3A.A$C$2.C$.2C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 THEME Golly ]]
A still life as described above. The starting region is the polyplet in the middle, which consists of two different colours, and the other islands are used to stabilise it
(click above to open LifeViewer)
Catagoluehere

See also

References

  1. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  3. 6ac.rle at Mark D. Niemiec's Life Page

External links