Trans-rotated bun

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Trans-rotated bun
x = 7, y = 7, rule = B3/S23 bo$obo$obo$b2ob2o$4bobo$4bobo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 39 ]]
Pattern type Strict still life
Number of cells 14
Bounding box 7 × 7
Frequency class 21.0
Static symmetry .c (C2_1)
Discovered by Unknown
Year of discovery Unknown

Trans-rotated bun is a 14-cell strict still life consisting of two mutually stabilising buns. It is one of six ways in which two buns can be arranged to create a still life, and one of the five which have two separate islands.

This specific isomer is named trans-rotated due to the two inducting faces being skewed from each other (hence rotated, as skewing forbids mirror symmetry), and the "denser" parts of each island are close to the center (hence trans).

Trans-rotated bun is the seventy-sixth most common still life in Achim Flammenkamp's census, being less common than bee hat, but more common than long canoe.[1]

It is the 79th most common still life on Adam P. Goucher's Catagolue, being less common than cis-mirrored dove but more common than cis-mirrored wing. It is the 12th most common still life with 14 cells, being less common than cis-bookend and bun but more common than beehive on cap.[2]

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. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.