Long shillelagh

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Long shillelagh
x = 6, y = 3, rule = B3/S23 2o2b2o$obo2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 63 ]]
Pattern type Strict still life
Number of cells 9
Bounding box 6 × 3
Frequency class 20.2
Discovered by Robert Wainwright
Year of discovery 1972

Long shillelagh is a 9-cell still life. It is the long extension of shillelagh. It was found by Robert Wainwright in 1972, and was one of the last 9-bit still lifes to be reported.[1]

Two copies of this still life can position themselves in such a way so that they share two-fold C2_4 rotational symmetry. In this orientation, they can be considered one strict still life and fit in a 6 × 6 bounding box, giving the resultant still life the highest density of all still lifes fitting inside such a bounding box.

Commonness

Main article: List of common still lifes

Long shillelagh is the sixty-second most common still life in Achim Flammenkamp's census, less common than the tub with nine but more common than trans-bun and wing.[2]

It is the 63rd most common still life on Adam P. Goucher's Catagolue, being less common than boat with long tail but more common than beehive at loaf. It is the 6th most common still life with 9 cells, being less common than cis-boat with tail but more common than tub with long tail.[3]

Glider synthesis

All strict still lifes with a population of 21 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.

Gallery

x = 6, y = 6, rule = B3/S23 2o2b2o$o2bobo$b2o$3b2o$obo2bo$2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Two long shillelaghs attached to form a maximum density 6 × 6 still life
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

References

  1. Robert Wainwright (September 1972). Lifeline, vol 5, pages 4, 6.
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.

External links