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x = 6, y = 6, rule = 23/3 2o4b$obo3b$2bo3b$2bobob$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 10
Bounding box 6 × 6
Frequency class 19.6
Discovered by Unknown
Year of discovery 1972

Prodigal[1] (or tub with nine) is a 10-cell still life, comprised of the normally stable tub with a normally unstable nine attached.

It can be substitutively referred to as the integral with tub, with one pre-block of the integral sign replaced with a tub; however, if using a systematic name, "tub with nine" is usually preferred for this object.


Main article: List of common still lifes

Tub with nine is the sixty-first most common still life in Achim Flammenkamp's census, being less common than very long snake but more common than long shillelagh.[2]

It is the 54th most common still life on Adam P. Goucher's Catagolue, being less common than trans-block on long bookend but more common than broken snake. It is the 7th most common still life with 10 cells, being less common than cis-shillelagh but more common than broken snake.[3]

Compared to Catagolue's typical 16 × 16 soups, the prodigal is 25% more common in 8 × 8 soups and 30% more common in 10 × 10 soups, and it is rarer on a torus.

Glider synthesis

All strict still lifes with a population of 21 or fewer cells, as well as all oscillators and spaceships with 16 or fewer cells, are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

See also


  1. Adam P. Goucher (July 18, 2015). Re: Thread For Your Useless Discoveries (discussion thread) at the forums
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 7, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.

External links