Triple pseudo still life
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| Triple pseudo still life | |||||||||
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| Pattern type | Pseudo still life | ||||||||
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| Number of cells | 32 | ||||||||
| Bounding box | 8 × 10 | ||||||||
| Discovered by | Gabriel Nivasch | ||||||||
| Year of discovery | 2001 | ||||||||
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Triple pseudo still life[1] is the smallest pseudo still life that can be decomposed into three stable subpatterns (shown below; note that the first and third are themselves pseudo still lifes), but cannot be decomposed into two stable subpatterns.[2] It was found by Gabriel Nivasch in July 2001. It consists of a single block surrounded by two hook with tails and two snakes.
Uniqueness
Nathaniel Johnston showed on May 25 2017, via an exhaustive computer search using Simon Ekström's still life searcher, that the triple pseudo still life is the unique pseudo still life of 32 or fewer bits requiring a decomposition into 3 or more pieces.[3]
Glider synthesis
On January 6, 2024, May13 found a 76-glider synthesis of this still life.[4][5]
Image gallery
 The first stable subpattern. |
 The second stable subpattern. |
 The third stable subpattern. |
See also
References
- ↑ 29 Pseudo-still-lifes 26 bits and larger at Mark D. Niemiec's Life Page
- ↑ Nivasch, Gabriel (July, 2001). "Still lifes". Retrieved on March 23, 2016.
- ↑ Nathaniel Johnston (May 25, 2017). Re: Enumerating Still Lifes (in C) (discussion thread) at the ConwayLife.com forums
- ↑ May13 (January 6, 2024). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#5875943706) (January 6, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
- Triple pseudo still life at Adam P. Goucher's Catagolue (pseudo-object)