Trans-boat trans-line tub

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Trans-boat trans-line tub
x = 7, y = 7, rule = B3/S23 5bo$4bobo$3bobo$3bo$bobo$obo$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 7 × 7
Frequency class 27.9
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Trans-boat trans-line tub is a 12-cell still life.

Construction

A 5-glider synthesis of this still life was found in January 2020.[1]

x = 26, y = 24, rule = B3/S23 20bo$19bo$19b3o5$6bo$7bo$5b3o4$24bo$25bo$23b3o4$22b2o$23b2o$b2o19bo$obo$2bo! #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 24 PAUSE 1 T 33 PAUSE 1 T 94 PAUSE 2 LOOP 95 ]]
A 5G synthesis[1]
(click above to open LifeViewer)
x = 62, y = 65, rule = B3/S23 29bo$30bo22bo$28b3o22bobo$53b2o8$40bo$13bo24bobo$12bobo24b2o$11bobo$ 11bo$9bobo$8bobo$8b2o$36b2o7bo$37b2o5b2o$36bo7bobo5$23b3o$25bo8bo$2bo 21bo7bobo$obo30b2o11bo$b2o7bo34b2o10bo$11b2o32bobo7b2o$10b2o44b2o4$2bo $3bo$b3o2$39bo$37b2o5bo$38b2o4bobo$44b2o3$49bo$48b2o$48bobo2$20b2o$21b 2o36b2o$20bo5b2o31bobo$26bobo11bo18bo$6b2o18bo12b2o$5bobo31bobo$7bo6$ 7bo$7b2o$6bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 6 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 2 T 31 PAUSE 3 T 63 PAUSE 3 LOOP 64 ]]
Three two-stage 7G syntheses[2]
(click above to open LifeViewer)

Isomers

This still life is comprised of a normally stable tub and a normally stable boat connected by a line. This is one of two possible isomers, named trans due to the corner part of the boat facing outwards from the line; the other isomer, cis-boat trans-line tub, has this corner part tucked inwards.

The closely related pattern boat cis-line tub is an induction coil, in much the same way as the integral is a still life whereas the house is an induction coil. Note that there is only one valid isomer for the cis-line arrangement, analogous to trans-boat trans-line tub, as the cis- arrangement would cause unwanted birth between the boat and tub.

Occurrence

Among the 121 still lifes with 12 cells, this is the 45th most common still life according to Catagolue.

There are no collisions in octohash, octo3obj or octo3g databases with this still life occurring in the ash.

See also

References

  1. 1.0 1.1 Ian07 (January 18, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  2. The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-67.rle)

External links