Boat-tie

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Boat-tie
x = 6, y = 6, rule = B3/S23 4bo$3bobo$3b2o$b2o$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 10
Bounding box 6 × 6
Frequency class 13.7
Static symmetry xk (D4_x4)
Discovered by Unknown
Year of discovery 1972

Boat-tie (or boat tie boat) is a 10-cell still life whose name is a pun on "bow tie" and is a combination of two boats.

Occurrence

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

Boat-tie is the twentieth most common still life on Adam P. Goucher's Catagolue, being less common than shillelagh but more common than snake. Among all still lifes with 10 cells, it is the absolute most common, followed by very long ship.[1] It is also the twenty-seventh most common object overall on Catagolue.

Boat-tie is also the twentieth most common still life in Achim Flammenkamp's census, being less common than integral sign but more common than snake.[2]

Two copies of boat-tie can be seen in a symmetric constellation that evolves from two traffic light predecessors. This constellation is in the ash (Catagoluehere) of a 3-glider collision that is essentially a glider crashing into a B-heptomino.

x = 8, y = 7, rule = B3/S23 bo$3o4$6bo$5b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 GPS 10 AUTOSTART T 0 PAUSE 1 LOOP 40 ]]
Two T-tetrominoes react to make two copies of boat-tie and four blinkers. Other traffic light predecessors also work
(click above to open LifeViewer)
RLE: here Plaintext: here

Glider synthesis

Main article: Glider synthesis

There is a 3-glider collision that produces a constellation of a boat-tie and a loaf (Catagoluehere), leading to a two-stage 4-glider synthesis for the still life. Other 4-glider collisions that make a clean boat-tie are also known.

See also

References

  1. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 7, 2009.

External links