Long³ integral
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| Long3 integral | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 12 | ||||||||
| Bounding box | 4 × 8 | ||||||||
| Frequency class | 30.8 | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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Long3 integral (or extra long integral) is a 12-cell still life.
Construction
A 7-glider synthesis of this still life was found in March 2021,[1] followed by a 6-glider synthesis in June 2021[2] and a 5-glider synthesis in March 2023.[3] Some known alternate syntheses are available in Mark Niemiec's database.[4]
| A 5G synthesis[3] (click above to open LifeViewer) |
| A 6G synthesis[5] (click above to open LifeViewer) |
| A 7G synthesis[1] (click above to open LifeViewer) |
Occurrence
- See also: List of common still lifes
Among the 121 still lifes with 12 cells, this is the 72nd most common still life according to Catagolue.
There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.
See also
References
- ↑ 1.0 1.1 bubblegum (March 11, 2021). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ Alex Greason (June 26, 2021). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ 3.0 3.1 shinjuku (#3870601997) (March 3, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-34.rle)
- ↑ xs12_0j96z346 at Adam P. Goucher's Catagolue
External links
- Long³ integral at Adam P. Goucher's Catagolue
- 12.106 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 30
- Natural periodic objects
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Robert Wainwright
- Patterns found by Everett Boyer
- Patterns found in 1973
- Patterns that can be constructed with 5 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 12 cells
- Patterns with 180-degree rotation symmetry