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 .e
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]

Reactions and uses

There is a long-lasting collision between a glider and a mango, discovered in 1971, with one pentadecathlon appearing in the final census.[3]

Mango appears as a transparent object in a sparky SW-2T21 variant discovered in July 2023.[4][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[4][5]
(click above to open LifeViewer)
x = 5, y = 8, rule = B3/S23 2b2o$bo2bo$o2bo$b2o2$2bo$b2o$bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ZOOM 12 ]]
A collision with an extremely unusual census[3]
(click above to open LifeViewer)


Occurrence

See also: List of common still lifes, Most common objects on Catagolue

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.[8] It is also the sixteenth most common object overall on Catagolue.

x = 4, y = 10, rule = B3/S23 ob2o$3o$bo5$b2o$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
A B-heptomino hitting a block, creating a mango in its ash
(click above to open LifeViewer)

Despite having rotational symmetry, the mango is only very slightly more common in rotationally symmetric soups than asymmetric ones.

In Achim Flammenkamp's census, the mango was also ranked twelfth most common, again between the half-bakery and eater 1.[9]

Glider synthesis

Main article: Glider synthesis

All strict still lifes with a population of 22 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 31 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

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. 3.0 3.1 Lifeline vol 4, page 5, "A collision w/ an extremely unusual census"
  4. 4.0 4.1 AlbertArmStain (July 10, 2023). Re: Execution of Old Guns by Variable-Speed Firing Squad (discussion thread) at the ConwayLife.com forums
  5. 5.0 5.1 EvinZL (December 6, 2023). Re: Thread for your reactions that might be useful for conduits (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
  8. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  9. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.

External links