Very long prodigal

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Very long prodigal
x = 8, y = 4, rule = B3/S23 bo$obo2b2o$bo2bo2bo$2b2o2b2o! #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 33.0
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

The very long prodigal is a 12-cell still life.

Construction

This still life is known to be constructible with 7 gliders.[1] A 8-glider synthesis was found in April 2019.[2] A 7-glider synthesis was found by Oscar Cunningham in March 2021.[3] Some alternate syntheses can be found in Mark Niemiec's database.[4]

x = 51, y = 56, rule = B3/S23 13bo$11bobo$12b2o21$24bo$25bo$23b3o12bo$38bobo$28bo9b2o$27bo$27b3o$2o$ obo$2bo39bo$bo38b2o$o40b2o$obo$bobo$2bo13$48b3o$48bo$49bo$42bo$41b2o$ 41bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 16 PAUSE 1 T 27 PAUSE 1 T 69 PAUSE 1 T 125 PAUSE 1 T 168 PAUSE 1 T 169 PAUSE 2 LOOP 170 ]]
A 7G synthesis[1]
(click above to open LifeViewer)
x = 49, y = 54, rule = B3/S23 29bo$29bobo$29b2o2$11bobo$12b2o$12bo8$2bobo$3b2o$3bo9$b2o3bo11b2o$obo 3b2o11b2o$2bo2bobo10bo8b2o$27bobo$27bo17b2o$45bobo$47bo$46bo$45bo$45bo bo$46bobo$47bo15$2b2o$bobo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 14 PAUSE 1 T 28 PAUSE 1 T 34 PAUSE 1 T 90 PAUSE 1 T 91 PAUSE 2 LOOP 92 ]]
A 8G synthesis[2]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 97th 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.

References

  1. 1.0 1.1 xs12_25a842ac at Adam P. Goucher's Catagolue
  2. 2.0 2.1 Freywa (April 22nd, 2019). Re: Soup-based syntheses (discussion thread) at the ConwayLife.com forums
  3. Oscar Cunningham (March 16, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-51.rle)

External links