Long shillelagh
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 9 | ||||||||
| Bounding box | 6 × 3 | ||||||||
| Frequency class | 20.2 | ||||||||
| Discovered by | Robert Wainwright | ||||||||
| Year of discovery | 1972 | ||||||||
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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
| Two long shillelaghs attached to form a maximum density 6 × 6 still life (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
References
- ↑ Robert Wainwright (September 1972). Lifeline, vol 5, pages 4, 6.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
External links
- Long shillelagh at the Life Lexicon
- Long shillelagh at Adam P. Goucher's Catagolue
- The 10 nine-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 0/9-7.rle)
- 9.2 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 20
- Natural periodic objects
- Periodic objects with minimum population 9
- Patterns with 9 cells
- Patterns found by Robert Wainwright
- Patterns found in 1972
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 9 cells
- Diagonal line stabilisations