Bi-pond

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Bi-pond
x = 7, y = 7, rule = B3/S23 b2o$o2bo$o2bo$b2ob2o$3bo2bo$3bo2bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 39 ]]
Pattern type Strict still life
Number of cells 16
Bounding box 7 × 7
Frequency class 14.1
Static symmetry xc (D4_x1)
Discovered by Unknown
Year of discovery Unknown

Bi-pond (or pond at pond) is a 16-bit still life made up of two ponds.

Occurrence

See also: List of common still lifes, List of still lifes with 16 cells

Bi-pond is the twenty-third most common still life in Achim Flammenkamp's census, being less common than big S but more common than trans-boat with tail.[1]

It is the 23rd most common still life on Adam P. Goucher's Catagolue, being less common than big S but more common than trans-boat with tail. It is the most common still life with 16 cells, being 7 times as common as beehive on dock.[2]

Below are two bi-pond-producing regions. The heptaplet on the left forms one bi-pond, while the nonaplet on the right forms two bi-ponds in an arrangement known as the land of lakes, one of the less familiar fours. In addition, the pattern on the right has a nine-cell sibling shown in the land of lakes article, and the two R-sequences or two fleet sequences can potentially form in other ways.

x = 28, y = 6, rule = B3/S23 5bo20bo$4bo21bo$4bo20bobo$3bo19b2o2bo$b2o22b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 12 THUMBSIZE 2 HEIGHT 380 ZOOM 12 X 2 THEME Book AUTOSTART T 0 PAUSE 7 T 33 PAUSE 1 LOOP 34 ]]
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RLE: here Plaintext: here

Construction

x = 21, y = 23, rule = B3/S23 4bo$5bo$3b3o7$18b2o$18bobo$18bo9$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 14 AUTOSTART GPS 12 T 0 PAUSE 1 LOOP 78 ]]
A 3G synthesis[3][4]
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A 3-glider synthesis for the bi-pond was found in 2014.[4] There are multiple known alternate syntheses.[3]

The octohash database contains 6 one-glider seeds for the bi-pond. There are 21 other one-glider seeds in the octo3obj database.

x = 87, y = 58, rule = B3/S23 2bo$obo49bo30bo$b2o48bo30bo$51b3o28b3o6$13b2o$12bo2bo$13bobo3bo$14bo3b obo$19bobo22bo28b2o$20b2o21bobo27bobo$44b2o28b2o5$36b2o28b2o$37bo29bo$ 34b3o27b3o$34bo29bo8$37bo$38bo$36b3o6$obo$b2o$bo2$11b2o31bo27b2o$10bo 2bo29bobo26bobo$11b2o31b2o28bo$16b2o56b2o$15bobo$14bobo$15bo$36b2o28b 2o$37bo29bo$34b3o27b3o$34bo29bo2$85bo$84b2o$84bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 800 HEIGHT 500 THEME Book ZOOM 8 AUTOSTART GPS 12 T 0 PAUSE 1 T 107 LOOP 126 ]]
1G seeds from the octohash database
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References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
  3. ↑ 3.0 3.1 The 3286 sixteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 16/16-1749.rle)
  4. ↑ 4.0 4.1 BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums