Integral with hook and tail: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
Muzik (talk | contribs)
Trusted users
24,382 edits
Created page with "{{Stilllife |name = Integral with hook and tail |pname = integralwithhookandtail |c = 12 |bx = 7 |by = 5 |rul..."
 
No edit summary
 
(20 intermediate revisions by 7 users not shown)
Line 5: Line 5:
|bx              = 7
|bx              = 7
|by              = 5
|by              = 5
|fc              = 29.9
|symmetry        = n
|discoverer      = Robert Wainwright
|discoverer2      = Everett Boyer
|discoveryear    = 1973
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B378/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B/S2-n3nr
|isorulemax      = B2ikn34-aijnr5-y6-i78/S012345678
|synthesis        = 5
|plaintext        = true
|rle              = true
|rle              = true
|apgcode          = xs12_2ege123
|apgcode          = xs12_2ege123
}}{{stub}}
|niemiecid        = 12.116
The '''integral with hook and tail''' is a [[still life]] with [[:Category:Strict still lifes with 12 cells|12]] cells, and the 66th most common such still life according to [[Catagolue]].
|pentadecathlonid = 12.92
}}
The '''integral with hook and tail'''<ref name="catagolue_object" /> is a {{slcells|12|text=12-cell}} [[still life]].


==External links==
== Construction ==
{{LinkCatagolue|xs12_2ege123}}
A {{gliders|5}} [[Glider synthesis|synthesis]] of this still life was found in January {{year|2020}}.<ref name="post87708" /> Some known alternate syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" />
 
{| style="margin:auto;width:300px"
|{{EmbedViewer
|rle          = x = 38, y = 24, rule = B3/S23
20bo$20bobo$20b2o5$33bo$obo29bobo$b2o29bobo$bo29b2obob2o$35bobo$14b2o$
14bobo$9bo4bo$9b2o$8bobo5$3b3o$5bo$4bo!
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 9 PAUSE 1 T 37 PAUSE 1 T 63 PAUSE 1 T 99 PAUSE 1 T 111 PAUSE 2 LOOP 112 ]]
|position    = center
|caption      = A 5G synthesis<ref name="post87708" />
}}
|-
|{{EmbedViewer
|rle          = x = 41, y = 38, rule = B3/S23
39bo$38bo$5bobo30b3o$6b2o$6bo4$2bo$3b2o$2b2o2$35bo$34bobo$34bobo$33b2obob2o$37bobo6$8b2o$9b2o$8bo17b2o$26bobo$26bo2$18b2o$17b2o$19bo2$35b3o$35bo$36bo$bo$b2o$obo!
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 28 PAUSE 1 T 43 PAUSE 1 T 67 PAUSE 2 LOOP 68 ]]
|position    = center
|caption      = A 8G synthesis<ref name="niemiec" />
}}
|}
 
== Occurrence ==
Among the 121 still lifes with 12 cells, this is the 66th [[List of common still lifes|most common still life]] according to [[Catagolue]].
 
There are no occurrences of this still life in final patterns of collisions in [[Octohash database|octohash]], octo3obj or octo3g databases.
 
== See also ==
* [[Integral with tub and tail]]
* [[Hungry hat]]
* [[Hat]]
 
== References ==
<references>
<ref name="post87708">{{LinkForumThread
|format = ref
|title  = Re: Randomly enumerating glider syntheses
|p      = 87708
|author = Ian07
|date  = January 18, 2020
}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-116.rle|nobullet=nobullet}}</ref>
<ref name="catagolue_object">{{LinkCatagolue|xs12_2ege123|style=nobullet}}</ref>
</references>
 
== External links ==
* {{LinkCatagolue|xs12_2ege123}}
* {{LinkPentadecathlonObject|12.92}}
 
__NOTOC__

Latest revision as of 14:57, 9 August 2024

Integral with hook and tail
x = 7, y = 5, rule = B3/S23 obo$2obob2o$3bobo$3bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
View static image
Pattern type Strict still life
Number of cells 12
Bounding box 7 × 5
Frequency class 29.9
Static symmetry n (C1)
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

The integral with hook and tail[1] is a 12-cell still life.

Construction

A 5-glider synthesis of this still life was found in January 2020.[2] Some known alternate syntheses can be found in Mark Niemiec's database.[3]

x = 38, y = 24, rule = B3/S23 20bo$20bobo$20b2o5$33bo$obo29bobo$b2o29bobo$bo29b2obob2o$35bobo$14b2o$ 14bobo$9bo4bo$9b2o$8bobo5$3b3o$5bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 9 PAUSE 1 T 37 PAUSE 1 T 63 PAUSE 1 T 99 PAUSE 1 T 111 PAUSE 2 LOOP 112 ]]
A 5G synthesis[2]
(click above to open LifeViewer)
x = 41, y = 38, rule = B3/S23 39bo$38bo$5bobo30b3o$6b2o$6bo4$2bo$3b2o$2b2o2$35bo$34bobo$34bobo$33b2obob2o$37bobo6$8b2o$9b2o$8bo17b2o$26bobo$26bo2$18b2o$17b2o$19bo2$35b3o$35bo$36bo$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 28 PAUSE 1 T 43 PAUSE 1 T 67 PAUSE 2 LOOP 68 ]]
A 8G synthesis[3]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 66th most common still life according to Catagolue.

There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.

See also

References

  1. ↑ xs12_2ege123 at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 Ian07 (January 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  3. ↑ 3.0 3.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-116.rle)


Retrieved from "https://conwaylife.com/w/index.php?title=Integral_with_hook_and_tail&oldid=152919"