Beehive with nine

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Beehive with nine
x = 7, y = 6, rule = B3/S23 b2o$o2bo$b2obo$4bo$4bobo$5b2o! #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 12
Bounding box 7 × 6
Frequency class 21.9
Static symmetry C1
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Beehive with nine is a 12-cell still life.

This still life is comprised of the normally stable beehive with a normally unstable nine attached.

It can be substitutively referred to as the integral with beehive, with one pre-block of the integral sign replaced with a beehive, however "beehive with nine" is usually preferred for this object.

Glider synthesis

Beehive with nine can be synthesized with 4 gliders.[1] Several known alternate syntheses are available in Mark Niemiec's database.[2]

x = 59, y = 51, rule = B3/S23 56bobo$56b2o$57bo20$4bo$3bobo$3bobo18bo$4bo19bobo$b3o20b2o$o$2o$25bo$ 24b2o$24bobo17$55b2o$55bobo$55bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X -8 Y 3 AUTOSTART GPS 12 T 0 PAUSE 3 T 95 PAUSE 2 LOOP 96 ]]
A 4G synthesis[1]
(click above to open LifeViewer)

Commonness

Main article: List of common still lifes

Beehive with nine is the eighty-ninth most common still life in Achim Flammenkamp's census, being less common than beehive with hooked tail but more common than ship on long boat.[3]

It is the 95th most common still life on Adam P. Goucher's Catagolue, being less common than 15-bent-paperclip but more common than very long barge. It is the 13th most common still life with 12 cells, being less common than beehive with hooked tail but more common than boat tie long boat.[4]

There are two collisions in the octo3obj database where beehive with nine occurs in the ash.[5]

See also

References

  1. 1.0 1.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  2. The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-73.rle)
  3. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.
  5. Headerless RLEs of the collisions are 2o$2o2b2o7b2o$4b2o3b2ob2o$9b2o3bo2$4b2o3b2o$4b2o3b2o3$3b2o$3b2o! and 2bo$bobo$bobo$2bo7b2o$10b2o2$2b2o3b2o$2b2o2bo2bo$7b2o$2b2o$2b2o2$bo$2o$obo!

External links