Loop
| Loop | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 10 | ||||||||
| Bounding box | 5 × 4 | ||||||||
| Frequency class | 18.4 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | 1972 | ||||||||
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- For other uses of 'Loop', see Loop (disambiguation).
Loop (or curl[1] or long hat[2]) is a 10-cell still life.
It can be interpreted as a hook with an attached hooked tail.
It is the most naturally common still life that can act as a hook with tail catalyst; the period-14 oscillator shown on that page has occurred semi-naturally with a loop more often than with a hook with tail.
Occurrence
Loop is the fortieth most common still life in Achim Flammenkamp's census, being less common than scorpion but more common than fourteener.[3]
It is the 41st most common still life on Adam P. Goucher's Catagolue, being less common than twin hat but more common than long snake. It is the 5th most common still life with 10 cells, being less common than beehive with tail but more common than cis-shillelagh.[4]
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.
Loop family
Note that some would argue that the loops are members of the hat family.
References
- ↑ "Curl". The Life Lexicon. Stephen Silver. Retrieved on June 3, 2009.
- ↑ "Long hat". The Life Lexicon. Stephen Silver. Retrieved on June 3, 2009.
- ↑ 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
- Loop at Adam P. Goucher's Catagolue
- Loop at the Life Lexicon
- The 25 ten-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 10/10-4.rle)
- 10.4 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 18
- 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