Bi-block: Difference between revisions

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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.
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.


==Image gallery==
==Gallery==
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Revision as of 20:14, 1 November 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.

[[:RLE:Triblock]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
Triblock

(click above to open LifeViewer)
RLE: here Plaintext: here
[[:RLE:2by3groupofblocks]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 8 THUMBSIZE 2 ]]
2×3 group of blocks

(click above to open LifeViewer)
RLE: here Plaintext: here
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

(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

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