Amphisbaena
| Amphisbaena | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 11 | ||||||||
| Bounding box | 7 × 5 | ||||||||
| Frequency class | 33.3 | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
| |||||||||
| |||||||||
| |||||||||
| |||||||||
Amphisbaena (or hook trans-line hook) is a small still life consisting of an integral with two hooks.
It can also be seen as two hooks connected by a three-cell-long line.
Amphisbaena is the second-rarest 11-cell still life, with only long5 snake being rarer.
Glider synthesis
For almost two years (March 2021[1] to February 2023) amphisbaena was the only 11-cell still life without a known synthesis of six gliders or fewer. There have been many attempts to synthesize the still life with six gliders, leading to the development of at least eleven 7-glider syntheses.[2][3][4] Finally, on February 14, 2023, a 6-glider synthesis of the amphisbaena was found by Carson Cheng,[5] showing that every still life of 11 cells can be synthesized with no more than 6 gliders.
By May of 2023, amphisbaena was the only 11-cell still life without a known 5-glider synthesis.[6] Finally, on December 10, 2023, Alex Greason found a 5-glider synthesis of the amphisbaena.[7][8] This shows that all still lifes of 11 cells can be synthesized with no more than five gliders.
| A 5G synthesis[7][8] (click above to open LifeViewer) |
| A 6G synthesis[5][9] (click above to open LifeViewer) |
| A 7G synthesis[10] (click above to open LifeViewer) |
| A two-stage 8G synthesis[11] (click above to open LifeViewer) |
| A four-stage 12G synthesis[11] (click above to open LifeViewer) |
See also
References
- ↑ Goldtiger997 (March 19, 2021). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ Goldtiger997 (November 25, 2021). Message in #cgol on the Conwaylife Lounge Discord server
- ↑ GUYTU6J (August 10, 2022). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Dave Greene (February 14, 2023). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
- ↑ 5.0 5.1 Carson Cheng (February 14, 2023). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ "xs11 synthesis costs". Catagolue (May 28, 2023).
- ↑ 7.0 7.1 Carson Cheng (December 10, 2023). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ 8.0 8.1 shinjuku (#5719096314) (December 10, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ shinjuku (#3767464564) (February 14, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Amphisbaena (xs11_321eg8o) on Catagolue (archived copy)
- ↑ 11.0 11.1 The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-15.rle)
External links
- Amphisbaena at Adam P. Goucher's Catagolue
- The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-15.rle)
- 11.41 at Heinrich Koenig's Game of Life Object Catalogs
- Amphisbaena at Wikipedia (origin of name)