Half-bakery

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Half-bakery
x = 7, y = 7, rule = B3/S23 5bo$4bobo$3bo2bo$2bob2o$bobo$o2bo$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 14
Bounding box 7 × 7
Frequency class 9.2
Discovered by Unknown
Year of discovery Unknown

Half-bakery is a 14-cell still life made up of two loaves. It is half of a bakery, and the term bi-loaf refers to it most commonly.

Half-bakery reaction

There is a remarkable reaction where a glider collides with the half-bakery, displacing it by (3,6) and generating another glider in the same direction as the input. The only other known reactions of this type involve stable reflectors, which have a displacement of (0,0), alongside a constellation of three blocks.

In May 2014[1], Ivan Fomichev found an over-unity reaction generating 90-degree output gliders with pairs of these reactions. This is the key of half-baked knightship, parallel HBK and HBK caterpillar.

x = 59, y = 53, rule = B3/S23 57bo$56bo$56b3o12$36bo$34b2o$35b2o22$20b2o$19bo2bo$19bobo$17b2obo$16bo 2bo$16bobo$17bo2$4b2o$3bo2bo$3bobo$b2obo$o2bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 45 X -15 Y 15 TRACKLOOP 290 -3/290 -6/290 THUMBSIZE 2 ZOOM 10 HEIGHT 480 ]]
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RLE: here Plaintext: here

Half-bakery can also act as a turner in various other collisions.[2]

Commonness

Main article: List of common still lifes

Half-bakery is the eleventh most common still life on Adam P. Goucher's Catagolue, being less common than barge but more common than mango. Among all still lifes with 14 cells, it is the absolute most common, followed by paperclip.[3]It is also the fifteenth most common object overall on Catagolue.

In Achim Flammenkamp's census, the half-bakery was also ranked eleventh most common, again between the barge and mango.[4]

There are 3075 results in the octohash database, 29980 results in the octo3obj database and 4186 results in the octo3g database with the half-bakery occurring in the ash.

Construction

Half-bakery can be constructed with 3 gliders.

x = 61, y = 23, rule = B3/S23 4bo19bo$5b2o18b2o$4b2o18b2o$47bo$48bo$15bo5bo24b3o$13b2o7b2o$14b2o5b2o 9$53b2o$53bobo$53bo$58b2o$3o31b3o21bobo$2bo31bo23bo$bo33bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 780 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 5 T 16 PAUSE 1 T 28 PAUSE 1 T 40 PAUSE 2 LOOP 41 ]]
Three-glider collisions producing a half-bakery
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x = 66, y = 26, rule = B3/S23 8b2o$9bo$o5b3o$3o3bo31bo$3bo33bobo22b2o$2b2o33b2o23bobo$63bobo$64bo2$ 31b2o29bo$31bobo27bobo$32bobo27bo$33bo4$22b2o$23b2o19b2o$22bo20bobo$ 45bo4$22b3o$22bo$23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 780 HEIGHT 380 THEME Book ZOOM 10 X 0 Y -2 AUTOSTART GPS 12 T 0 PAUSE 5 T 83 PAUSE 2 LOOP 84 ]]
One-glider seeds from the octohash database[5]
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See also

References

  1. Ivan Fomichev (May 24, 2014). Half-bakery reaction with glider (discussion thread) at the ConwayLife.com forums
  2. Emerson J. Perkins (August 24, 2014). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on June 6, 2013.
  5. There are also 57 matches for the half-bakery in the octo3obj database.

External links