Prodigal
| Prodigal | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 10 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Frequency class | 19.6 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | 1972 | ||||||||
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Prodigal[1] (or tub with nine) is a 10-cell still life, comprised of the normally stable tub with a normally unstable nine attached.
It can be substitutively referred to as the integral with tub, with one pre-block of the integral sign replaced with a tub; however, if using a systematic name, "tub with nine" is usually preferred for this object.
Occurrence
Tub with nine is the sixty-first most common still life in Achim Flammenkamp's census, being less common than very long snake but more common than long shillelagh.[2]
It is the 54th most common still life on Adam P. Goucher's Catagolue, being less common than trans-block on long bookend but more common than broken snake. It is the 7th most common still life with 10 cells, being less common than cis-shillelagh but more common than broken snake.[3]
Compared to Catagolue's typical 16 × 16 soups, the prodigal is 25% more common in 8 × 8 soups and 30% more common in 10 × 10 soups, and it is rarer on a torus.
Glider synthesis
- Main article: Glider synthesis
All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
See also
References
- ↑ Adam P. Goucher (July 18, 2015). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 7, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
External links
- Prodigal at Adam P. Goucher's Catagolue
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-17.rle)
- Patterns
- Patterns with Catagolue frequency class 19
- Natural periodic objects
- Periodic objects with minimum population 10
- Patterns with 10 cells
- Patterns found in 1972
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 10 cells
- Strict still lifes with n symmetry