Prodigal: Difference between revisions

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10-cell still lifes: December 1972 via Lifeline Volume 8, page 2
m HotdogPi moved page Tub with nine to Prodigal over redirect: this should never have been moved
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Revision as of 16:00, 22 July 2022

Tub with nine
x = 6, y = 6, rule = B3/S23 bo$obo$bobo$3bo$3bobo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 10
Bounding box 6 × 6
Frequency class 19.6
Static symmetry Unspecified
Discovered by Unknown
Year of discovery 1972

Tub with nine (or prodigal[1]) is a 10-cell still life.

This still life is 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 "tub with nine" is usually preferred for this object.

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 also the sixty-fifth most common object on Adam P. Goucher's Catagolue.[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.

All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 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

References

  1. ↑ Adam P. Goucher (July 18, 2015). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com 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 June 24, 2016.