Gabriel's p138

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Gabriel's p138
x = 21, y = 21, rule = b3/s23 8b3o10b$7bo2bo10b$7bo2bo10b$7b2o12b4$17b3ob$17bo2bo$20bo$3o15b3o$o20b$ o2bo17b$b3o17b4$12b2o7b$10bo2bo7b$10bo2bo7b$10b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ PAUSE 3 LOOP 138 GPS 20 THUMBSIZE 3 WIDTH 640 HEIGHT 640 ]]
Pattern type Oscillator
Number of cells 36
Bounding box 33×33
Period 138
Mod 69
Heat 57.7
Volatility 1.00
Strict volatility 0.87
Discovered by Gabriel Nivasch
Year of discovery 2002

Gabriel's p138 is a period-138 oscillator discovered by Gabriel Nivasch on October 13, 2002. In terms of its 36 cells, it is, by far, the smallest known period 138 oscillator.[1] Within a month of its discovery, Jason Summers found a 12-glider synthesis for this oscillator.[2]

The first known semi-natural appearance of this oscillator was in November 2014 in a soup found by Dongook Lee using apgsearch.[3] About 1 in 2.5 million odd-width 90° symmetric soups (C4_1) form a Gabriel's p138 in the centre.

x = 29, y = 29, rule = B3/S23 5b2o$5b2o3$12b3o$11bo2bo12b2o$11bo2bo12b2o$11b2o4$21b3o$21bo2bo$24bo$ 4b3o15b3o$4bo$4bo2bo$5b3o4$16b2o$2o12bo2bo$2o12bo2bo$14b3o3$22b2o$22b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ PAUSE 3 LOOP 138 GPS 20 THUMBSIZE 3 WIDTH 640 HEIGHT 640 AUTOSTART ]]
A variant of Gabriel's p138 with blocks
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere
x = 46, y = 43, rule = B3/S23 35b3o$35bo2bo$35bo2bo$37b2o4$26b3o$25bo2bo$25bo$25b3o15b3o$45bo$42bo2b o$16b2o24b3o$16b2o3$32b2o$32bo2bo$32bo2bo$33b3o2$10b3o$10bo2bo$10bo2bo $12b2o4$b3o$o2bo$o$3o15b3o$20bo$17bo2bo$17b3o4$7b2o$7bo2bo$7bo2bo$8b3o ! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ PAUSE 3 LOOP 276 GPS 20 THUMBSIZE 3 WIDTH 640 HEIGHT 640 AUTOSTART ]]
Two copies of Gabriel's p138 hassling
a block, producing a p276 oscillator
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

See also

References

  1. Jason Summers' all-osc pattern collection.
  2. Jason Summers' jslife pattern collection.
  3. Dongook Lee (December 1, 2014). Re: Soup search results (discussion thread) at the ConwayLife.com forums

External links

  • 36P136.1 at Heinrich Koenig's Game of Life Object Catalogs (note: site incorrectly lists period as 136 instead of 138)