Integral with hook and tail

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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 ]]
Pattern type Strict still life
Number of cells 12
Bounding box 7 × 5
Frequency class 29.9
Static symmetry Unspecified
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. 2.0 2.1 Ian07 (January 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  2. 3.0 3.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-116.rle)

External links