Crinkly heptomino with hooked tail

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Crinkly heptomino with hooked tail
x = 5, y = 6, rule = B3/S23 b2o$o2bo$2obo$bob2o$bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 6 × 5
Frequency class 22.8
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Crinkly heptomino with hooked tail is a 13-cell still life.

This still life is composed of a crinkly heptomino and a hooked tail.

Crinklyheptomino.png + Hookedtail.png
crinkly heptomino hooked tail

Construction

This still life can be constructed with 4 gliders.[1][2] A number of known alternate syntheses can be found in Mark Niemiec's database.[3] A 5-glider synthesis was found in April 2015.[4] A 4-glider synthesis was found in June 2015.[5]

x = 34, y = 19, rule = B3/S23 27bo$25b2o$6bo19b2o$7bo$5b3o5$32b2o$32bo$20b2o7b2obo$20bobo7bob2o$20bo 9bo2bo$31b2o2$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 51 PAUSE 2 LOOP 52 ]]
A 4G synthesis[5]
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x = 37, y = 27, rule = B3/S23 28bo$28bobo$28b2o$8bo$6bobo$7b2o4$35b2o$35bo$32b2obo$33bob2o$33bo2bo$ 34b2o4$8bo$8b2o$7bobo3$3o$2bo19b2o$bo19b2o$23bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 380 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 43 PAUSE 2 LOOP 44 ]]
A 5G synthesis[4]
(click above to open LifeViewer)
x = 46, y = 43, rule = B3/S23 2bo$obo$b2o$8bo$6bobo$7b2o15$3b2o$3bo25bo13b2o$2obo25b2o12bobo$bob2o 23bobo12bo$bo2bo$2b2o8$7bo$7b2o$6bobo5$34b2o$33b2o$35bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 470 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 115 PAUSE 2 LOOP 116 ]]
A 6G synthesis[3]
(click above to open LifeViewer)

Occurrence

See also: List of common still lifes, List of still lifes with 13 cells

Crinkly heptomino with hooked tail is the 119th most common still life on Adam P. Goucher's Catagolue, being less common than paperclip with tail but more common than beehive bridge bun. Among all still lifes with 13 cells, it is the 8th most common, being less common than boat with hooked nine but more common than beehive bridge bun.[6] The octo3obj database contains one collision[7] with crinkly heptomino with hooked tail in the final pattern.

References

  1. xs13_32qb96 at Adam P. Goucher's Catagolue
  2. shinjuku (#4041671993) (March 31, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  3. 3.0 3.1 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-218.rle)
  4. 4.0 4.1 BobShemyakin (April 26, 2015). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 BobShemyakin (June 20, 2015). Re: 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  6. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  7. Final population 248, 3 escaping gliders, headerless RLE 3bo$2bobo$2bobo$3bo2$2o7b2o$2o7b2o2$bo$2o$obo!

External links