Mango

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Mango
x = 5, y = 4, rule = B3/S23 b2o$o2bo$bo2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ HEIGHT 500 WIDTH 600 ZOOM 60 ]]
Pattern type Strict still life
Number of cells 8
Bounding box 5 × 4
Frequency class 10.3
Static symmetry Unspecified
Discovered by Unknown
Year of discovery 1971

Mango (or cigar or havoc[1]) is an 8-bit still life. It can be seen as a weld of two loaves or of two beehives. It was found in 1971.[2]

Occurrence

See also: List of common still lifes

Mango is the twelfth most common still life on Adam P. Goucher's Catagolue, being less common than half-bakery but more common than eater 1. Among all still lifes with 8 cells, it is the second most common, being less common than pond but more common than long barge.[3] It is also the sixteenth most common object overall on Catagolue.

In Achim Flammenkamp's census, the mango was also ranked twelfth most common, again between the half-bakery and eater 1.[4]

Glider synthesis

All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

Uses

Mango appears as a transparent object in a sparky SW-2T21 variant discovered in July 2023.[5]

In the slmake search program, a 12-cell pseudo still life consisting of a block and a mango is used in the input file to mark where the initial construction elbow is hit by the glider stream.[6]

In several engineered diehards, the lifespan is increased by replacing toads with constellations containing a mango and another still life.[7]

x = 24, y = 28, rule = B3/S23 13b2o$12b3o$10b3o$10b3o4b2o$10b3o$12b3o$13b2o4$21bo$20bobo$19bo2bo$19b obo$20bo$10bo$10bobo$10b3o$12bo2$18b2o$17bobo$17b2o2$2b2o16b2o$3bo16bo $3o18b3o$o22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 GPS 15 AUTOSTART T 0 PAUSE 2 T 127 PAUSE 1 LOOP 128 ]]
A transparent mango in a sparky variant of SW-2T21[5]
(click above to open LifeViewer)

See also

References

  1. ↑ Adam P. Goucher (July 26, 2019). Re: Help with names (discussion thread) at the ConwayLife.com forums
  2. ↑ Robert Wainwright (September 1971). Lifeline, vol 3, page 2.
  3. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  5. ↑ 5.0 5.1 AlbertArmStain (July 10, 2023). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  6. ↑ Adam P. Goucher (September 23, 2018). Re: Finding a job for the unemployed mango (discussion thread) at the ConwayLife.com forums
  7. ↑ toroidalet (July 19, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums