Cis-mirrored bun

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Cis-mirrored bun
x = 7, y = 4, rule = B3/S23 bo3bo$obobobo$obobobo$b2ob2o! #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 14
Bounding box 7 × 4
Frequency class 16.9
Static symmetry -c
Discovered by Unknown
Year of discovery Unknown

Cis-mirrored 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 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 bun is the thirty-second most common still life in Achim Flammenkamp's census, being less common than canoe but more common than moose antlers.[1]

It is the 34th most common still life on Adam P. Goucher's Catagolue, being less common than beehive on dock but more common than moose antlers. It is the 4th most common still life with 14 cells, being less common than big S but more common than block on dock.[2]

Compared to Catagolue's typical 16×16 soups, the cis-mirrored bun is 23% more common in 8×8 soups and 16% more common in 10×10 soups, as smaller soups are more likely to become symmetrical.

It is much more common in DryLife, part of a common constellation known as Flower garden, which evolves from many honey farm predecessors in Life such as bun.

x = 21, y = 13, rule = B37/S23 8bo3bo$7bobobobo$8b2ob2o$b2o15b2o$o2bo13bo2bo$b3o13b3o2$b3o13b3o$o2bo 13bo2bo$b2o15b2o$8b2ob2o$7bobobobo$8bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The flower garden
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

Glider synthesis

A four-sided 4-glider synthesis for this still life was found by Dave Buckingham and reported in September 1973.[3] Another two-stage 4-glider recipe involves two gliders hitting a bi-block.

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 5, 2023.
  3. Robert Wainwright (September 1973). Lifeline, vol 11, page 14.

External links