Quad pseudo still life

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Quad pseudo still life
Quad pseudo still life image
Pattern type Pseudo still life
Number of cells 34
Bounding box 11×9
Discovered by Gabriel Nivasch
Year of discovery 2001

Quad pseudo still life[1] is the smallest known pseudo still life that can be decomposed into four stable subpatterns (shown below), but cannot be decomposed into two or three stable subpatterns.[2] It was found by Gabriel Nivasch in July 2001. It consists of a single block surrounded by a hat, snake, and a 15-cell still life roughly made up of a snake and a hook with tail.

Uniqueness

Nathaniel Johnston showed on May 25 2017, via an exhaustive computer search using Simon Ekström's still life searcher, that there are no pseudo still lifes of 32 or fewer bits requiring a decomposition into 4 or more pieces.[3] It remains unknown whether any such 33-bit pseudo still lifes exist, or whether the quad pseudo still life is the unique 34-bit pseudo still life requiring a decomposition into 4 or more pieces.[3]

Image gallery

The first stable subpattern.
The second stable subpattern.
The third stable subpattern.
The fourth stable subpattern.
Catagoluehere

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. 3.0 3.1 Re: Enumerating Still Lifes (in C) (discussion thread) at the ConwayLife.com forums

External links