Bi-block: Difference between revisions

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{{Stilllife|type=pseudo|c=8|name=Bi-block|pname=biblock|bx=5|by=2|life105=true|life106=true|plaintext=true|rle=true|synthesis=2|synthesisRLE=true|rulemin=B/S3|rulemax=B35678/S012345678|rulespecial=[[Conway's Game of Life|Conway Life]]}}
{{Pattern
The '''bi-block''' is the smallest and most common<ref>{{cite web|url=http://www.conwaylife.com/soup/census.asp?rule=B3/S23&sl=1&pseudo=1|title=Census Results in Conway's Game of Life|publisher=Online Life-Like CA Soup Search|accessdate=July 12, 2009}}</ref> [[pseudo still life]]. It is made up of two [[block]]s. Similar pseudo still lifes can be formed by considering any rectangular array of blocks, some of which are shown below.
|name         = Bi-block
|pname       = biblock
|type        = Pseudo still life
|c            = 8
|bx           = 5
|by           = 2
|symmetry    = D4_+2
|discoveryear = 1970
|rulemin      = B/S3
|rulemax      = B35678/S012345678
|isorulemin  = B/S3a
|isorulemax  = B1e2-ac34-i5678/S012345678
|synthesis   = 2
|synthesisRLE = true
|plaintext    = true
|rle          = true
|apgcode      = xs8_rr
|viewerconfig = #C [[ ZOOM 42 ]]
}}
The '''bi-block''' is a common formation of two [[block]]s and the smallest and most common [[pseudo still life]]. Similar pseudo still lifes can be formed by considering any rectangular array of blocks, and are referred to as (''m''-by-''n'') [[block array]]s.


==Image gallery==
Bi-blocks can be hassled by [[spark]]s to create period-multiplied oscillators, such as the [[p18 bi-block hassler]] and [[four molds hassling eight blocks]]. A bait bi-block is also used in [[0-degree colour-preserving reflector (March 2023)|a stable 8-lane glider shifter]] discovered in March 2023.
{|
 
== Commonness ==
The bi-block is about ¼ as common as the pond, the most common 8-bit strict still life. Compared to other strict still lifes, it is more common than the [[ship-tie]] but less common than the [[long boat]].<ref>https://catagolue.hatsya.com/census/b3s23/Pseudo_C1/xs8</ref> In odd orthogonal symmetries, bi-blocks are more common, as gliders in the same phase that collide in odd symmetry form a bi-block.
 
Counting both strict and pseudo still lifes, the tri-block is the 9th most common 12-bit still life, and it would rank third behind the ship-tie and [[mirrored table]] but ahead of the [[block on cap]] if it were strict.
 
== Gallery ==
{| style="margin:auto;width:300px"
|{{EmbedViewer
|pname        = biblockpredecessor1
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|position    = center
|caption      = Common predecessor of bi-block plus one other unrelated block [[Ash]] on {{LinkCatagolue|xs12_rrzy466|style=brief}}
}}
|-
|{{EmbedViewer
|pname        = biblockpredecessor2
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|position    = center
|caption      = About ⅓ as common as the previous pattern, and creates just a bi-block and nothing else
}}
|-
|-
|[[Image:triblock.png|framed|left|A '''tri-block'''<br />{{JavaRLE|triblock|brief}}]]
|{{EmbedViewer
|[[Image:block_of_blocks.png|framed|left|A 2x3 group of blocks<br />{{JavaRLE|rle=2ob2ob2o$2ob2o2b2o$2ob2ob2o$2ob2ob2o||brief}}]]
|pname        = biblockpredecessor3
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|position    = center
|caption      = another small predecessor of a clean bi-block, whose great-great-grandchild is fairly common
}}
|}
|}


==References==
== See also ==
* [[Bi-block hassler]]
* [[Bi-block puffer]]
 
== References ==
<references />
<references />


==External links==
== External links ==
{{LinkLexicon|lex_b.htm#biblock}}
* {{LinkLexicon|lex_b.htm#biblock}}
[[Category:Patterns with D2 symmetry]]
* {{LinkCatagolue|xs8_rr|format=pseudo-object}}
 
[[Category:Blockic constellations]]
__NOTOC__

Latest revision as of 15:36, 21 August 2024

Bi-block
x = 5, y = 2, rule = B3/S23 2ob2o$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 42 ]]
Pattern type Pseudo still life
Number of cells 8
Bounding box 5 × 2
Static symmetry D4_+2
Discovered by Unknown
Year of discovery 1970

The bi-block is a common formation of two blocks and the smallest and most common pseudo still life. Similar pseudo still lifes can be formed by considering any rectangular array of blocks, and are referred to as (m-by-n) block arrays.

Bi-blocks can be hassled by sparks to create period-multiplied oscillators, such as the p18 bi-block hassler and four molds hassling eight blocks. A bait bi-block is also used in a stable 8-lane glider shifter discovered in March 2023.

Commonness

The bi-block is about ¼ as common as the pond, the most common 8-bit strict still life. Compared to other strict still lifes, it is more common than the ship-tie but less common than the long boat.[1] In odd orthogonal symmetries, bi-blocks are more common, as gliders in the same phase that collide in odd symmetry form a bi-block.

Counting both strict and pseudo still lifes, the tri-block is the 9th most common 12-bit still life, and it would rank third behind the ship-tie and mirrored table but ahead of the block on cap if it were strict.

x = 5, y = 4, rule = B3/S23 2bo$2obo$o3bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
Common predecessor of bi-block plus one other unrelated block Ash on Catagolue: here
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 5, y = 3, rule = B3/S23 obo$2ob2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
About ⅓ as common as the previous pattern, and creates just a bi-block and nothing else
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 6, y = 4, rule = B3/S23 2bo$bo$o$2ob3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
another small predecessor of a clean bi-block, whose great-great-grandchild is fairly common
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

References