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 ]]
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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 ]]
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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 ]]
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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 ]]
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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
↑ xs13_g88m96z121 at Adam P. Goucher 's Catagolue
↑ 2.0 2.1 Simon Ekström (August 16, 2017). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
↑ 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 )
↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life ". Retrieved on January 15, 2009.
↑ Adam P. Goucher . "Statistics ". Catagolue . Retrieved on June 24, 2016.
↑ Final population 131, three escaping gliders, headerless RLE: 6bo$4b2o$5b2o$bo$2bo$3o120$85b3o$85bo$86bo!
↑ Final population 98, one escaping glider, headerless RLE: obo$b2o$bo37$35bo$34b3o$34bob2o!
↑ Final population 180, four escaping gliders, headerless RLE: 4bo$3bobo$3bobo$4bo2$5b3o$5bo$6bo3$3o!
External links