Cis-boat amphisbaena
| Cis-boat amphisbaena | |||||||||
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| Pattern type | Strict still life | ||||||||
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| Number of cells | 12 | ||||||||
| Bounding box | 7 × 6 | ||||||||
| Frequency class | 31.6 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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Cis-boat amphisbaena[1] or cis-boat trans-line hook is a 12-cell still life.
Construction
This still life is known to be constructible with 5 gliders.[1] A 5-glider synthesis was found in June 2023.[2] Some alternate syntheses can be found in Mark Niemiec's database.[3]
| A 5G synthesis[2] (click above to open LifeViewer) |
| A 6G synthesis[4] (click above to open LifeViewer) |
| A 7G synthesis[3] (click above to open LifeViewer) |
Occurrence
- See also: List of common still lifes
Among the 121 still lifes with 12 cells, this is the 82nd most common still life according to Catagolue.
There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.
Isomers
This still life is comprised of a normally stable boat and a normally unstable hook connected by a three-cell-long line. This is one of two possible isomers, named cis due to the corner part of the boat being closer to the line; the other isomer, trans-boat trans-line hook, has this corner part facing outwards.
The closely related pattern "boat cis-line hook" is an induction coil, in much the same way as the integral is a still life whereas the house is an induction coil. Note that there is only one valid isomer for the cis-line arrangement, analogous to cis-boat trans-line hook, as the trans- arrangement would cause unwanted birth between the boat and hook.
| boat cis-line hook induction coil (click above to open LifeViewer) RLE: here Plaintext: here |
See also
References
- ↑ 1.0 1.1 xs12_g88b52z23 at Adam P. Goucher's Catagolue
- ↑ 2.0 2.1 shinjuku (#4392865623) (June 1, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ 3.0 3.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-70.rle)
- ↑ "xs12_g88b52z23 costs 6 gliders". Catagolue (June 1, 2023).
External links
- Cis-boat amphisbaena at Adam P. Goucher's Catagolue
- 12.93 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 31
- 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
- Strict still lifes with n symmetry