Block: Difference between revisions

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*[http://home.interserv.com/~mniemiec/still.htm#4-bit%20still Four-bit still lifes] by Mark Niemiec
*[http://home.interserv.com/~mniemiec/still.htm#4-bit%20still Four-bit still lifes] by Mark Niemiec
*[http://www.ibiblio.org/lifepatterns/october1970.html The fantastic combinations of John Conway's new solitaire game "life"] by Martin Gardner
*[http://www.ibiblio.org/lifepatterns/october1970.html The fantastic combinations of John Conway's new solitaire game "life"] by Martin Gardner
[[Category:Patterns with D4 symmetry]]

Revision as of 06:09, 1 June 2011

Block
x = 2, y = 2, rule = B3/S23 2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 4
Bounding box 2 × 2
Static symmetry Unspecified
Discovered by John Conway
Year of discovery 1970

Block is an extremely well-known and common still life that was found by John Conway in 1970. In terms of its 4 cells it is tied with tub as the smallest still life, and in terms of its 2×2 bounding box it is the outright smallest. It is also the only known still life that is a polyomino.

Due to its small size, its ability to act as an eater, and its simple glider syntheses, it is extremely useful in the construction of large patterns. It can be used as an induction coil as in block and dock, block on table and griddle and block.

It is also the most common still life that occurs as a result of random starting patterns, occurring almost twice as often as beehive, the next most common still life.[1]

The block was one of the patterns described in the original 1970 article by Martin Gardner that introduced the Game of Life to the world.

See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.

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