Cis-mirrored wing

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Cis-mirrored wing
x = 9, y = 4, rule = B3/S23 b2o3b2o$o2bobo2bo$bobobobo$2b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 57 ]]
Pattern type Strict still life
Number of cells 16
Bounding box 9 × 4
Frequency class 21.1
Discovered by Unknown
Year of discovery Unknown

Cis-mirrored wing is a 16-cell strict still life consisting of two mutually stabilising wings. It is one of six ways in which two wings 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 wing is the ninety-second 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 twenty-second through twenty-seventh most common object, with the exact ranking depending on the specific symmetry.

It is the 80th most common still life on Adam P. Goucher's Catagolue, being less common than trans-rotated bun but more common than trans-snake on bun. It is the 5th most common still life with 16 cells, being less common than symmetric scorpion but nearly three times as common as trans-bun and dove.[2]

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

The smaller the soup, the more common the cis-mirrored wing. In an 8×8 soup, the cis-mirrored wing is slightly more common than the cis-mirrored dove, 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 21 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