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 Still life
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.

Commonness

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 also the fortieth most common object on Adam P. Goucher's Catagolue.[3]

It is the seventh most common of the nine 8-bit still lifes. In D2_x diagonal symmetry, it is 8.5 times more common, improving its ranking to fifth out of nine.

Glider synthesis

All strict still lifes with a population of 20 or fewer cells, as well as all oscillators and spaceships with 16 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:

Longcanoe.png Verylongcanoe.png Long3canoe.png Long4canoe.png
Long canoe
Very long canoe
Long^3 canoe
Long^4 canoe

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 June 24, 2016.

External links