Beehive at beehive

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Beehive at beehive
x = 6, y = 6, rule = B3/S23 4bo$3bobo$3bobo$b2obo$o2bo$b2o! #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 6 × 6
Frequency class 21.6
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Beehive at beehive (or beehive tie beehive) is a 12-cell still life composed of two diagonally-touching beehives.

Glider synthesis

Beehive at beehive can be constructed with 4 gliders; several known syntheses can be found in Mark Niemiec's database.[1]

x = 42, y = 18, rule = B3/S23 32bo$30bobo$14bo16b2o$13bo$13b3o$39bobo$32bo6b2o$33b2o5bo$32b2o2$12bo$ 12bobo$12b2o2$28bo$b2o8bo16b2o$obo7b2o15bobo$2bo7bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 X 2 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 2 LOOP 21 ]]
4G syntheses[1]
(click above to open LifeViewer)


Main article: List of common still lifes

Beehive at beehive is the ninety-second most common still life in Achim Flammenkamp's census, being less common than ship on long boat.[2] In diagonal symmetries, including 8-fold symmetries, it is much more common, becoming the sixteenth through eighteenth (depending on the specific symmetry) most common still life.

It is the 89th most common still life on Adam P. Goucher's Catagolue, being less common than beehive on cap but more common than long boat tie ship. It is the 11th most common still life with 12 cells, being less common than beehive on table but more common than beehive with hooked tail.[3]

Beehive at beehive occurs in final patterns of 4 collisions from the octohash database[4] and 4 collisions from the octo3obj database.

See also


  1. 1.0 1.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-104.rle)
  2. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.
  4. The four collisions from the octohash database all converge to the same sequence after 18 ticks. The collision with smallest population is bo$obo$bo6bo$7bobo$8bobo$9b2o2$10bo$9b2o$9bobo! (headerless RLE).

External links