Beehive at loaf

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Beehive at loaf
x = 6, y = 7, rule = B3/S23 4bo$3bobo$3bobo$b2obo$o2bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C Still life
Pattern type Strict still life
Number of cells 13
Bounding box 6 × 7
Frequency class 20.2
Discovered by Unknown
Year of discovery Unknown

Beehive at loaf is a 13-cell still life composed of a diagonally-touching beehive and loaf.

Construction

Beehive at loaf is known to be constructible with 4 gliders.[1] A 4-glider synthesis was found in August 2017.[2] Several known syntheses can be found in Mark Niemiec's database.[3]

x = 53, y = 41, rule = B3/S23 obo$b2o$bo10$50bo$50bobo$50b2o5$5b2o$4bo2bo$5bobo$6bob2o$7bo2bo8bobo$8b2o10b2o$20bo13$20b2o$19bobo$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 144 PAUSE 2 LOOP 145 ]]
A 4G synthesis[2] (click above to open LifeViewer)
x = 41, y = 27, rule = B3/S23 27bobo$27b2o7bo$28bo7bobo$36b2o2$12bobo$13b2o$13bo$b2o$o2bo$bobo$2bob 2o$3bo2bo$4b2o3$38b3o$38bo$39bo6$31b2o$31bobo$31bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 47 PAUSE 2 LOOP 48 ]]
A 5G synthesis[3] (click above to open LifeViewer)
x = 41, y = 48, rule = B3/S23 38bo$38bobo$38b2o26$22bo$20b2o$21b2o6$b2o$obo30b2o$2bo29bo2bo$33bobo$ 34bob2o$35bo2bo$36b2o2$9b3o$11bo12b2o$10bo12b2o$25bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 550 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 94 PAUSE 1 T 110 PAUSE 2 LOOP 111 ]]
A 5G synthesis[3] (click above to open LifeViewer)

Occurrence

See also: List of common still lifes

Beehive at loaf is the sixty-sixth most common still life in Achim Flammenkamp's census, being less common than cis-bookend and bun but more common than tub with long tail.[4] It is also the seventy-fifth most common object on Adam P. Goucher's Catagolue.[5] Of the 13-cell still lifes, it is the most common.

They sometimes appear when a bakery is suppressed by a three-cell leading edge of an object, but this is not the only way they form.

x = 13, y = 6, rule = B3/S23 11bo$2bo7b2o$bobo5bo2bo$o3bo5b2o$bo2bo6bo$2b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 HEIGHT 450 THEME Book AUTOSTART T 0 PAUSE 3 T 6 PAUSE 2 LOOP 7 ]]
Reaction described above in which an angel produces a blinker which suppresses a bakery (click above to open LifeViewer)
RLE: here Plaintext: here

There is a three-glider collision with beehive at loaf in the final pattern.[6] There is an occurrence of this still life in the ash of a collision between a glider and the B-heptomino sequence,[7] accounting for three other 3G collisions. Beehive at loaf occurs in final patterns of one collision between a glider and a stationary constellation catalogued in the octohash database[8] and 12 collisions catalogued in the octo3obj database.

See also

References

  1. xs13_g88m96z121 at Adam P. Goucher's Catagolue
  2. 2.0 2.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  3. 3.0 3.1 3.2 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-154.rle)
  4. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  5. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  6. Final population 131, three escaping gliders, headerless RLE: 6bo$4b2o$5b2o$bo$2bo$3o120$85b3o$85bo$86bo!
  7. Final population 98, one escaping glider, headerless RLE: obo$b2o$bo37$35bo$34b3o$34bob2o!
  8. Final population 180, four escaping gliders, headerless RLE: 4bo$3bobo$3bobo$4bo2$5b3o$5bo$6bo3$3o!

External links