Cis-mirrored dove

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Cis-mirrored dove
x = 9, y = 5, rule = B3/S23 bo5bo$obo3bobo$o2bobo2bo$bobobobo$2b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 18
Bounding box 9 × 5
Frequency class 21.0
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Cis-mirrored dove is a 18-cell strict still life consisting of two mutually stabilising doves. It is one of six ways in which two doves can be arranged to create a still life, and one of the five which have two separate islands.

This specific isomer is named cis-mirrored due to the two inducting faces not being skewed from each other (hence mirrored), and the "denser" parts of each island are on the same side (hence cis). As such, it is the only one of the six with mirror symmetry.

Commonness

Cis-mirrored dove is the eighty-ninth most common object on Adam P. Goucher's Catagolue.[1] In odd orthogonal symmetries (D2_+1, D2_+2, D4_+1, D8_+1), it is the twentieth through twenty-fifth most common object, with the exact ranking depending on the specific symmetry.

It is the 78th most common still life on Adam P. Goucher's Catagolue, being less common than bee hat but more common than trans-rotated bun. It is the 2nd most common still life with 14 cells, being 26 times less common than dead spark coil but more than twice as common as loaf bridge eater-with-tail.[2]

Despite wings being more common than doves, the cis-mirrored dove is slightly more common than the cis-mirrored wing; this is true in both asymmetric and symmetric soups.

The smaller the soup, the more common the cis-mirrored dove. In an 8×8 soup, the cis-mirrored dove is slightly less common than the cis-mirrored wing, despite the previous paragraph, although both get a large boost (almost double). On the other hand, both are rarer in an infinite soup.

Glider synthesis

All strict still lifes with a population of 22 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 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. "Statistics". Catagolue. Retrieved on June 24, 2016.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.

External links