Asymmetric amphisbaena

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Asymmetric amphisbaena
x = 8, y = 5, rule = B3/S23 3bo$obobo$2o2bo$4bob2o$5bobo! #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 34.5
Static symmetry n (C1)
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Asymmetric amphisbaena[1] or hook line long hook is a 12-cell still life. This still life is comprised of a normally unstable hook and a normally unstable long hook connected by a three-cell-long line.

Construction

This still life is known to be constructible with 5 gliders;[1] it is the rarest 12-cell still life to have a known five-glider synthesis.

A 5-glider synthesis was found in August 2022.[2][3] Some known alternate syntheses can be found in Mark Niemiec's database.[4]

x = 50, y = 68, rule = B3/S23 37bo$36bo$36b3o21$33bobo$33b2obo$36bo2b2o$36bobobo$37bo4$14bo$12bobo$ 13b2o9$11b2o$10bobo$12bo6$b2o$obo$2bo13$47b2o$47bobo$47bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 59 PAUSE 1 T 65 PAUSE 1 T 131 PAUSE 1 T 132 PAUSE 1 T 133 PAUSE 1 T 134 PAUSE 1 T 135 PAUSE 1 T 136 PAUSE 1 T 137 PAUSE 1 T 138 PAUSE 1 T 156 PAUSE 1 T 157 PAUSE 2 LOOP 158 ]]
A 5G synthesis[2][3]
(click above to open LifeViewer)
x = 55, y = 57, rule = B3/S23 51bo$50bo$50b3o2$3bo$4b2o$3b2o20$22bo$23bo12bo$21b3o12bobo8bobo$36b2o 9b2obo$50bo2b2o$50bobobo$51bo14$23b3o$25bo$2o22bo$b2o$o4$51b3o$51bo$52bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 THEME Book ZOOM 10 X 4 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 1 T 32 PAUSE 1 T 75 PAUSE 1 T 92 PAUSE 2 LOOP 93 ]]
A 7G synthesis[5]
(click above to open LifeViewer)
x = 47, y = 42, rule = B3/S23 43bo$42bo$42b3o6$16bo18bobo$17bo17b2o$15b3o18bo2$32bo$32bobo$32b2o4$ob o$2obo$3bo2b2o$3bobobo$4bo33b3o$38bo$39bo$11b3o$13bo$12bo4$44b2o$44bob o$44bo4$14b2o$13bobo$15bo29bo$44b2o$44bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 1 T 34 PAUSE 1 T 66 PAUSE 1 T 67 PAUSE 2 LOOP 68 ]]
A 9G synthesis[4]
(click above to open LifeViewer)

Occurrence

See also: List of common still lifes, List of still lifes with 12 cells

Among the 121 still lifes with 12 cells, asymmetric amphisbaena is the 112th most common (i.e. 10th rarest) 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. 1.0 1.1 xs12_0gjl8z56 at Adam P. Goucher's Catagolue
  2. 2.0 2.1 iNoMed (August 21, 2022). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  3. 3.0 3.1 shinjuku (#2911640928) (August 21, 2022). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  4. 4.0 4.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-44.rle)
  5. xs12_0gjl8z56 (archived copy)