Trans-very long hook with nine: Difference between revisions

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all 12-bit still lifes found in Lifeline Volume 10; overall frequency not unknown
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|by              = 5
|by              = 5
|fc              = 29.5
|fc              = 29.5
|discoverer      = Robert Wainwright
|discoverer2      = Everett Boyer
|discoveryear    = 1973
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B3678/S012345678
|rulemax          = B3678/S012345678
Line 27: Line 30:


== [[List of common still lifes|Commonness]] ==
== [[List of common still lifes|Commonness]] ==
Among still lifes with 12 cells, this is the 60th most common still life according to [[Catagolue]]. Its position among all still lifes of all populations as a whole, however, is currently unknown.[[Category:Natural periodic objects with commonness requiring clarification]]
Among the 121 still lifes with 12 cells, this is the 60th most common still life according to [[Catagolue]].


== [[Glider synthesis]] ==
== [[Glider synthesis]] ==

Revision as of 14:38, 30 May 2022

Trans-very long hook with nine
x = 8, y = 5, rule = B3/S23 4bo$3bobo$obo2bo$2o3bobo$6b2o! #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 12
Bounding box 8 × 5
Frequency class 29.5
Static symmetry Unspecified
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Trans-very long hook with nine is a 12-cell still life.

This still life is comprised of the normally unstable very long hook with a normally unstable nine attached. This is one of two possible isomers, named trans due to the corner part of the hook being farther from the nine; the other isomer, cis-very long hook with nine, has this corner part slightly closer.

Unlike the cis-version, the trans-very long hook with nine can be shrunk down to two smaller still lifes: the long hook with nine and hook with nine. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.

It can be substitutively referred to as the integral with trans-very long hook, with one pre-block of the integral sign replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.

Among the 121 still lifes with 12 cells, this is the 60th most common still life according to Catagolue.

A 6-glider synthesis of this still life was found in March 2021.[1]

References

  1. ↑ bubblegum (March 11, 2021). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums