Trans-boat with long³ tail

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Trans-boat with long3 tail
x = 4, y = 8, rule = B3/S23 2o$obo$bobo$3bo$2bo$bo$o$2o! #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 × 4
Frequency class 27.8
Static symmetry Unspecified
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Trans-boat with long3 tail is a 12-cell still life.

This still life is comprised of the normally stable boat with a normally unstable long3 tail attached. While it technically has no isomers, it is named trans due to the corner part of the tail being farther from the boat; the other "isomer", cis-boat with long3 tail, has this corner part slightly closer.

Unlike the cis-version, the trans-boat with long3 tail can be shrunk down to three smaller still lifes: the boat with very long tail, boat with long tail and boat with tail. Due to the trans version being the only one which can be shrunk, these three do not have cis-trans prefixes.

Construction

A 6-glider synthesis for this still life was found in July 2020.[1] It has since been reduced to 5 gliders (see the synthesis in the infobox).

x = 28, y = 21, rule = B3/S23 2bobo$3b2o$3bo2$20bobo$20b2o$21bo2$25b2o$25bobo$25bo3$22b3o$22bo$23bo3$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 17 PAUSE 1 T 88 PAUSE 1 T 89 PAUSE 2 LOOP 90 ]]
A 5G synthesis[2]
(click above to open LifeViewer)
x = 40, y = 49, rule = B3/S23 2bo$obo$b2o21$8bobo$9b2o$9bo3$4bo$5b2o$4b2o7bo$13b2o$12bobo$38bo$37b2o$37bobo11$8b2o$9b2o$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 1 T 37 PAUSE 1 T 74 PAUSE 1 T 75 PAUSE 2 LOOP 76 ]]
A 6G synthesis[1]
(click above to open LifeViewer)
x = 32, y = 31, rule = B3/S23 7bo10bo$5bobo11bo$6b2o9b3o2$2o$obo$bobo$3bo$2bo$bo16b3o$o19bo$2o17bo7$12bo$12b2o$11bobo13b3o$27bo$28bo$13bo$13b2o$12bobo3$30b2o$29b2o$31bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 37 PAUSE 1 T 38 PAUSE 2 LOOP 39 ]]
A 7G synthesis[3]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 43rd 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.

References

  1. 1.0 1.1 Ian07 (July 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  2. xs12_35icz65 at Adam P. Goucher's Catagolue
  3. The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-53.rle)

External links