Difference between revisions of "Triple pseudo still life"

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{{Pattern|c=32|type=Pseudo still life|name=Triple pseudo still life|pname=triplepseudostilllife|discoverer=Gabriel Nivasch|discoveryear=2001|life105=true|life106=true|plaintext=true|rle=true}}
{{Stilllife
The '''triple pseudo still life''' is a [[still life#Pseudo still lifes|pseudo still life]] that can be decomposed into three stable subpatterns (shown below), but can not be decomposed into two stable subpatterns. It was found by [[:Category:Patterns found by Gabriel Nivasch|Gabriel Nivasch]] in July [[:Category:Patterns found in 2001|2001]]. It consists of a single [[block]] surrounded by two [[hook with tail]]s and two [[snake]]s.
|name         = Triple pseudo still life
|pname       = triplepseudostilllife
|type        = pseudo
|c            = 32
|bx          = 8
|by          = 10
|discoverer   = Gabriel Nivasch
|discoveryear = 2001
|rulemin      = B/S23
|rulemax      = B3678/S012345678
|rulespecial  = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin  = B/S2-in3anr
|isorulemax  = B2in34ceknqtw5-e678/S012345678
|plaintext   = true
|rle         = true
|apgcode      = xs32_bd0mk2sgz1785d0mq
}}
'''Triple pseudo still life'''<ref>{{cite web|url=http://codercontest.com/mniemiec/pp1.htm#pp1-lg
|title=29 Pseudo-still-lifes 26 bits and larger |author=Mark D. Niemiec |date=February 19, 2015 |accessdate=April 3, 2016}}</ref> is the smallest [[still life#Pseudo still lifes|pseudo still life]] that can be decomposed into three stable subpatterns (shown below; note that the first and third are themselves pseudo still lifes), but cannot be decomposed into two stable subpatterns.<ref>{{cite web|url=http://www.gabrielnivasch.org/fun/life/still-lifes |title=Still lifes |author=Nivasch, Gabriel|date=July, 2001|accessdate=March 23, 2016}}</ref> It was found by [[Gabriel Nivasch]] in July {{year|2001}}. It consists of a single [[block]] surrounded by two [[hook with tail]]s and two [[snake]]s.
 
==Uniqueness==
[[Nathaniel Johnston]] showed on May 25 2017, via an exhaustive computer search using [[Simon Ekström]]'s still life searcher,
that the triple pseudo still life is the ''unique'' pseudo still life of 32 or fewer bits requiring a decomposition into 3 or more pieces.<ref name="post43762" />


==Image gallery==
==Image gallery==
{|
{|
|-
|-
| [[Image:triplepseudostilllife_1.png|framed|The first stable subpattern]]
| [[Image:triplepseudostilllife_1.png|framed|The first stable subpattern.]]
| [[Image:triplepseudostilllife_2.png|framed|The second stable subpattern]]
| [[Image:triplepseudostilllife_2.png|framed|The second stable subpattern.]]
| [[Image:triplepseudostilllife_3.png|framed|The third stable subpattern]]
| [[Image:triplepseudostilllife_3.png|framed|The third stable subpattern.]]
|}
|}


==See also==
==See also==
*[[Quad pseudo still life]]
*[[Quad pseudo still life]]
==References==
<references>
<ref name="post43762">{{LinkForumThread
|p      = 43762
|title  = Re: Enumerating Still Lifes (in C)
|format = ref
|author = Nathaniel Johnston
|date  = May 25, 2017
}}</ref>
</references>


==External links==
==External links==
[http://www.argentum.freeserve.co.uk/lex_s.htm#stilllife Triple pseudo still life] at the Life Lexicon
{{LinkLexicon|lex_s.htm#stilllife}}
{{LinkCatagolue|xs32_bd0mk2sgz1785d0mq|format=pseudo-object}}
 
{{Symmetry|180degree}}
__NOTOC__

Revision as of 22:42, 6 March 2020

Triple pseudo still life
x = 8, y = 10, rule = B3/S23 6b2o$2bobo2bo$bob2obo$bo4b2o$2ob2o$3b2ob2o$2o4bo$bob2obo$o2bobo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
View static image
Pattern type Pseudo still life
Number of cells 32
Bounding box 8 × 10
Discovered by Gabriel Nivasch
Year of discovery 2001

Triple pseudo still life[1] is the smallest pseudo still life that can be decomposed into three stable subpatterns (shown below; note that the first and third are themselves pseudo still lifes), but cannot be decomposed into two stable subpatterns.[2] It was found by Gabriel Nivasch in July 2001. It consists of a single block surrounded by two hook with tails and two snakes.

Uniqueness

Nathaniel Johnston showed on May 25 2017, via an exhaustive computer search using Simon Ekström's still life searcher, that the triple pseudo still life is the unique pseudo still life of 32 or fewer bits requiring a decomposition into 3 or more pieces.[3]

Image gallery

The first stable subpattern.
The second stable subpattern.
The third stable subpattern.

See also

References

  1. ↑ Mark D. Niemiec (February 19, 2015). "29 Pseudo-still-lifes 26 bits and larger". Retrieved on April 3, 2016.
  2. ↑ Nivasch, Gabriel (July, 2001). "Still lifes". Retrieved on March 23, 2016.
  3. ↑ Nathaniel Johnston (May 25, 2017). Re: Enumerating Still Lifes (in C) (discussion thread) at the ConwayLife.com forums

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Triple_pseudo_still_life&oldid=69730"