Canoe

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Canoe
x = 5, y = 5, rule = B3/S23 3b2o$4bo$3bo$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 8
Bounding box 5 × 5
Frequency class 16.5
Discovered by Unknown
Year of discovery 1971

Canoe (or cis-snake or sinking ship) is an 8-cell still life. It was found in 1971.[1]

This still life can be interpreted as two mutually stabilising hooks. An alternate arrangement, which could be seen as the trans version of the canoe, results in the very long snake.

The canoe is tied with the long ship for the smallest still life that cannot be cleanly destroyed with one glider.

Occurrence

See also: List of common still lifes

Canoe is the thirty-first most common still life in Achim Flammenkamp's census, being less common than mirrored table but more common than cis-mirrored bun.[2]

It is the 32nd most common still life on Adam P. Goucher's Catagolue, being less common than dead spark coil but more common than beehive on dock. It is the 7th most common still life with 14 cells, being less common than tub with tail but about 12 times as common as very long snake.[3]

In D2_x diagonal symmetry, it is 8.5 times more common, making it the 5th most common 8-cell still life.

Glider synthesis

All strict still lifes with a population of 21 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

Extensibility

Canoe can be infinitely extended, as illustrated by the following:

See also

References

  1. Robert Wainwright (September 1971). Lifeline, vol 3, page 2.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.

External links