Frutterfly

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Frutterfly
x = 12, y = 5, rule = B3/S23 3o6b3o$3b2o2b2o2$b10o$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 4 ]]
Pattern type Oscillator
Number of cells 22
Bounding box 12 × 6
Period 4 (mod: 4)
Heat 18
Volatility 0.86 | 0.86
Kinetic symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Frutterfly[1] is a period-4 oscillator, and is among the smallest true-period-4 oscillators not based on mold.

It can nontrivially interact with one or two appropriate still lifes, such as a tub, beehive, loaf or mango, and is arbitrarily extensible.[2]

x = 45, y = 6, rule = B3/S23 3b3o6b3o13b3o6b3o$6b2o2b2o19b2o2b2o$bo14b2o7b2o14b2o$obob10obo2bo5bo2bob10obo2bo$bo6b2o6b2o6bobo6b2o6bo2bo$25bo16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 360 WIDTH 740 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART ]]
frutterfly interacting with still lifes
(click above to open LifeViewer)

Occurrences in Catagolue

x = 19, y = 32, rule = B3/S23 10bo7bo$11bo6bo$11bo6bo$12bo$11b2o$10b3o2bo$15b2o$10b2obobo$9b2o2bo$12bob2o$11b2obo$8bob2o2bo$8bo6bo$7bo5b2obo$8bo2bobo2bo$8bobo$8bobo$2bo2bobo2bo$2bob2o5bo$3bo6bo$4bo2b2obo$4bob2o$3b2obo$5bo2b2o$3bobob2o$2b2o$3bo2b3o$6b2o$6bo$o6bo$o6bo$o7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 560 WIDTH 560 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART OFF ]]
A predecessor from the third G2_2 soup, which in generation 56 becomes an 11*14 44-cell predecessor of two frutterflies with debris, that is the most common origin in reflectionally-symmetric soups.
(click above to open LifeViewer)

Frutterfly has not occurred in an asymmetric soup in Life. However, it has occurred semi-naturally six times combined in the C2_2, G2_2, D4_x1 and D4_x4 censuses, which are no more conducive to orthogonally-reflectionally-symmetrical occurrences than C1.[3] In one of the G2_2 soups, the two halves don't interact at all, meaning that the equivalent C1 16×16 soup also produce a frutterfly[4], and making this object natural.

In alien rules, frutterfly has occurred in asymmetric soups in B37e/S23-q.[5]

See also

References

  1. suggested name in the comments of object's Catagolue page
  2. xp4_199aaooaaaa33aaiig at Adam P. Goucher's Catagolue
  3. DroneBetter (July 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. the second G2_2 soup in question (and its C1 reinterpretation), found before 2023-06-10 (the earliest recorded attribution), most likely by the Open Science Grid
  5. The occurrence in question, with two noninteracting copies

External links