Shillelagh
Shillelagh | |||||||||
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Pattern type | Strict still life | ||||||||
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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 | ||||||||
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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.
Cow with shillelaghs as fenceposts (click above to open LifeViewer) |
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.
Conduit 1 with a shillelagh (click above to open LifeViewer) RLE: here Plaintext: here |
Occurrence
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.
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Extensibility
Shillelagh can be infinitely extended, as illustrated by the following:
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Long shillelagh | Very long shillelagh | Long^3 shillelagh | Long^4 shillelagh |
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- ↑ Robert Wainwright (June 1971). Lifeline, vol 2.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
External links
- Shillelagh at the Life Lexicon
- Shillelagh at Adam P. Goucher's Catagolue
- The 9 eight-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 0/8sl.rle)
- 8.2 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 13
- Natural periodic objects
- Periodic objects with minimum population 8
- Patterns with 8 cells
- Patterns found by Charles Corderman
- Patterns found by Hugh Thompson
- Patterns found in 1971
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 8 cells
- Strict still lifes with n symmetry
- Diagonal line stabilisations