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
Discovered by Unknown
Year of discovery Unknown

Bi-pond (or pond tie 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 land of lakes. 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 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Construction

x = 33, y = 23, rule = B3/S23 4bo$5bo$3b3o6$27b2o$18b2o6bo2bo$18bobo5bo2bo$18bo8b2ob2o$29bo2bo$29bo2bo$30b2o6$bo$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 12 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 59 PAUSE 2 LOOP 60 ]]
A 3G synthesis[3][4]
(click above to open LifeViewer)

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 20 PAUSE 3 T 107 PAUSE 2 LOOP 108 ]]
1G seeds from the octohash database
(click above to open LifeViewer)

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

External links