Tub with long tail: Difference between revisions

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frequency difference between B35/S23 and B3/S23
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Line 10: Line 10:
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B35678/S012345678
|rulemax          = B35678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]], [[Grounded Life]]
|isorulemin      = B/S2-in3cn
|isorulemin      = B/S2-in3cn
|isorulemax      = B2in34-ejkr5678/S012345678
|isorulemax      = B2in34-ejkr5678/S012345678

Revision as of 15:10, 15 September 2023

Tub with long tail
x = 6, y = 4, rule = B3/S23 4bo$3bobo$2o2bo$ob2o! #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 9
Bounding box 6 × 4
Frequency class 20.5
Static symmetry Unspecified
Discovered by Robert Wainwright
Year of discovery 1972

Tub with long tail is a 9-cell strict still life. It was found by Robert Wainwright in 1972, and was one of the last 9-bit still lifes to be reported.[1]

This still life is comprised of the normally stable tub with a normally unstable long tail attached.

It can be substitutively referred to as the shillelagh with tub, with the pre-block of the shillelagh replaced with a tub, however "tub with long tail" is usually preferred for this object.

Commonness

Main article: List of common still lifes

Tub with long tail is the sixty-seventh most common still life in Achim Flammenkamp's census, being less common than beehive at loaf but more common than loaf siamese loaf.[2]

It is the 67th most common still life on Adam P. Goucher's Catagolue, being less common than long integral but more common than cis-bookend and bun. It is the 7th most common still life with 9 cells, being less common than long shillelagh but more common than long canoe.[3]

Tub with long tail is almost 21 times as common in Grounded Life as it is in Life.

Glider synthesis

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. ↑ Robert Wainwright (September 1972). Lifeline, vol 5, pages 4, 6.
  2. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.