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 [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 39 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 6
Frequency class 20.2
Static symmetry n (C1)
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$50b2o9$19bobo$20b2o$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 LOOP 169 ]]
A 4G synthesis[2]
(click above to open LifeViewer)
x = 29, y = 27, rule = B3/S23 15bobo$15b2o7bo$16bo7bobo$24b2o2$obo$b2o$bo9$26b3o$26bo$27bo6$19b2o$19b obo$19bo! #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 LOOP 72 ]]
A 5G synthesis[3]
(click above to open LifeViewer)
x = 41, y = 48, rule = B3/S23 38bo$38bobo$38b2o26$22bo$20b2o$21b2o6$b2o$obo$2bo6$9b3o$11bo12b2o$10b o12b2o$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 LOOP 135 ]]
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 the 64th most common still life on Adam P. Goucher's Catagolue, being less common than long shillelagh but more common than trans-bun and wing. It is the most common still life with 13 cells, being more common than cis-loaf on table.[5]

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 May 5, 2023.
  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!