Shillelagh

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Shillelagh
x = 5, y = 3, rule = B3/S23 2o$o2b2o$b2obo! #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 8
Bounding box 5 × 3
Frequency class 13.7
Static symmetry n (C1)
Discovered by Charles Corderman
Hugh Thompson
Year of discovery 1971

Shillelagh is an 8-cell still life discovered by Charles Corderman and Hugh Thompson in 1971.[1][2]

This still life is comprised of the normally unstable pre-block with a normally unstable long tail attached. It resembles an intermediate between the snake and the long integral.

As a fencepost

Shillelagh can act as a fencepost of 1-cell thick line, as seen in cow.

x = 24, y = 7, rule = B3/S23 5b2o2b2o2b2o2b2o$b2o2b2o2b2o2b2o2b2o3b2o$bo19bobo$2b20o$obo19bo$2o3b2o 2b2o2b2o2b2o2b2o$5b2o2b2o2b2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 22 THEME Book ]]
Cow with shillelaghs as fenceposts
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As a catalyst

It can take the place of a snake in some cases, such as Conduit 1. This can reduce the bounding box by either a row or a column, as the snake is four cells tall, and the shillelagh is only three.

x = 7, y = 12, rule = B3/S23 b2o$2b2o$b2o2b2o$bo3b2o6$b2obo$o2b2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 THEME Book X 8 Y -2 GPS 12 AUTOSTART T 0 PAUSE 2 T 59 PAUSE 2 LOOP 60 ]]
Conduit 1 with a shillelagh
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RLE: here Plaintext: here

Occurrence

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

Shillelagh is the nineteenth most common still life on Adam P. Goucher's Catagolue, being less common than integral sign but more common than boat-tie. Among all still lifes with 8 cells, it is the fifth most common, being less common than long ship but more common than tub with tail.[3] It is also the twenty-sixth most common object overall on Catagolue.

Shillelagh is the eighteenth most common still life in Achim Flammenkamp's census, being less common than long ship but more common than integral sign.[4]

Glider synthesis

Main article: Glider synthesis

There are several 4-glider syntheses of a shillelagh; two examples that have two stages each are shown below.

x = 14, y = 13, rule = B3/S23 bo$obo$o2bo$b2o2$3b3o$3bo$4bo3$12b2o$11b2o$13bo! #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 ]]
Two parallel gliders colliding with a loaf makes a shillelagh
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x = 15, y = 21, rule = B3/S23 4$8bo$7bobo$7bo2bo$8b2o2$6bo$5bobo$6b2o4$7bo$6b2o$6bobo! #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 shillelagh from the octohash database, where the constellation has a 3-glider synthesis
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Extensibility

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

Longshillelagh.png Verylongshillelagh.png Long3shillelagh.png Long4shillelagh.png
Long shillelagh Very long shillelagh Long^3 shillelagh Long^4 shillelagh

References

  1. Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
  2. Robert Wainwright (June 1971). Lifeline, vol 2.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.

External links