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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 Still life
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 2004 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 and parallel HBK.

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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Half-bakery can also act as a turner in various other collisions.[1]


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.[2] 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.[3]

Glider synthesis

All strict still lifes with a population of 20 or fewer cells, as well as all oscillators and spaceships with 16 or fewer cells, are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

See also


  1. Emerson J. Perkins (August 24, 2014). Re: Thread For Your Accidental Discoveries (discussion thread) at the ConwayLife.com forums
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 17, 2022.
  3. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on June 6, 2013.

External links