Block: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
m added glider synthesis
expanded article in general
Line 1: Line 1:
{{Stilllife|name=Block|pname=block|c=4|bx=2|by=2|discoveryear=1970|discoverer=John Conway|life105=true|life106=true|plaintext=true|rle=true|synthesis=2|synthesisRLE=true}}
{{Stilllife|name=Block|pname=block|c=4|bx=2|by=2|discoveryear=1970|discoverer=John Conway|life105=true|life106=true|plaintext=true|rle=true|synthesis=2|synthesisRLE=true}}
'''Block''' is an extremely well-known and common [[still life]] that was found by [[:Category:Patterns found by John Conway|John Conway]] in [[:Category:Patterns found in 1970|1970]]. In terms of its [[:Category:Strict still lifes with 4 cells|4]] [[cell]]s it is tied with [[tub]] as the smallest still life, and in terms of its 2&times;2 [[bounding box]] it is the outright the smallest. It is also the most common still life, occurring almost twice as often as [[beehive]], the next most common still life.<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=January 15, 2009}}</ref>
'''Block''' is an extremely well-known and common [[still life]] that was found by [[:Category:Patterns found by John Conway|John Conway]] in [[:Category:Patterns found in 1970|1970]]. In terms of its [[:Category:Strict still lifes with 4 cells|4]] [[cell]]s it is tied with [[tub]] as the smallest still life, and in terms of its 2&times;2 [[bounding box]] it is the outright the smallest.
 
Due to its small size, its ability to act as an [[eater]], and its simple [[glider synthesis|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 [[soup|random starting patterns]], occurring almost twice as often as [[beehive]], the next most common still life.<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=January 15, 2009}}</ref>


The block was one of the patterns described in the original 1970 article by Martin Gardner that introduced the [[Conway's Game of Life|Game of Life]] to the world.
The block was one of the patterns described in the original 1970 article by Martin Gardner that introduced the [[Conway's Game of Life|Game of Life]] to the world.


==See also==
==See also==
*[[Bi-block]]
*[[Blockade]]
*[[Blockade]]
*[[Grin]]
*[[List of common still lifes]]
*[[List of common still lifes]]
*[[Pre-block]]
*[[Pre-block]]
Line 13: Line 19:


==External links==
==External links==
*[http://www.ericweisstein.com/encyclopedias/life/Block.html Block] at Eric Weisstein's Treasure Trove of Life
*[http://www.argentum.freeserve.co.uk/lex_b.htm#block Block] at the Life Lexicon
*[http://www.argentum.freeserve.co.uk/lex_b.htm#block Block] at the Life Lexicon
*[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

Revision as of 13:37, 23 April 2009

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 the smallest.

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.