Triple pseudo still life

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Triple pseudo still life
Triple pseudo still life image
Pattern type Pseudo still life
Number of cells 32
Bounding box 8×10
Discovered by Gabriel Nivasch
Year of discovery 2001

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]

Image gallery

The first stable subpattern.
The second stable subpattern.
The third stable subpattern.

See also

References

  1. Mark D. Niemiec (February 19, 2015). "29 Pseudo-still-lifes 26 bits and larger". Retrieved on April 3, 2016.
  2. Nivasch, Gabriel (July, 2001). "Still lifes". Retrieved on March 23, 2016.
  3. Re: Enumerating Still Lifes (in C) (discussion thread) at the ConwayLife.com forums

External links