Bi-block: Difference between revisions

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adding frequency and one more predecessor
→Image gallery: Added another predecessor
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|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|caption      = About ⅓ as common as the other LifeViewer pattern, and creates just a bi-block and nothing else.
|caption      = About ⅓ as common as the other LifeViewer pattern, and creates just a bi-block and nothing else.
}}
|}
|{{EmbedViewer
|rle          = 2bo$bo$o$2ob3o!
|position    = left
|viewerconfig = #C [[ GPS 8 THUMBSIZE 2 ]]
|caption      = another small predecessor of a clean bi-block, whose great-great-grandchild is fairly common
}}
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Revision as of 22:58, 18 July 2021

Bi-block
x = 5, y = 2, rule = B3/S23 2ob2o$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Pseudo still life
Number of cells 8
Bounding box 5 × 2
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

The bi-block is a common formation of two blocks and the smallest and most common[1] pseudo still life. Similar pseudo still lifes can be formed by considering any rectangular array of blocks, some of which are shown below.

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 it is more common than the ship-tie but less common than the long boat.[2] 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 table on table but ahead of the block on cap if it were strict. Unlike the bi-block, tri-blocks must form by chance.

A tri-block
RLE: here
File:Block of blocks.png
A 2×3 group of blocks
RLE: here
2bo$2obo$o3bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
A common predecessor of the bi-block plus one other unrelated block.
(click above to open LifeViewer)
obo$2ob2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
About ⅓ as common as the other LifeViewer pattern, and creates just a bi-block and nothing else.
(click above to open LifeViewer)

|

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)

|}

References

  1. ↑ "Census Results in Conway's Game of Life". Online Life-Like CA Soup Search. Retrieved on July 12, 2009.
  2. ↑ https://catagolue.hatsya.com/census/b3s23/Pseudo_C1/xs8