Inverted frutterfly

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Revision as of 12:19, 19 March 2024 by Haycat2009 (talk | contribs) (→‎Occurrence: Should be C2 2)
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Inverted frutterfly
x = 12, y = 8, rule = B3/S23 3o$3b2o2$b6o$5b6o2$7b2o$9b3o! #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 × 10
Period 4 (mod: 4)
Heat 18
Volatility 0.86 | 0.86
Kinetic symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Inverted frutterfly is a period-4 oscillator, and is among the smallest true-period-4 oscillators not based on mold.

Much like the frutterfly, it can nontrivially react with many small still lifes as to produce larger period-4 oscillators.

Relation to other oscillators

Inverted frutterfly is easily seen to be closely related to frutterfly, in which both halves are mirrored instead of rotated.

Inverted frutterfly is also remarkably similar to 20P4, with one phase even being composed of the exact same "four Ls", arranged slightly differently; the phases then differ by one cell in the next generation, then three, then five. The connection in inverted frutterfly is two cells wide instead.

x = 42, y = 8, rule = B3/S23 3o6b3o3b3o$3b2o2b2o9b2o2$b10o5b6o13b2o$5b2o13b6o5b10o2$22b2o9b2o2b2o$ 24b3o3b3o6b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 14 GPS 2 AUTOSTART ]]
Inverted frutterfly in center, with one frutterfly on each side for comparison
(click above to open LifeViewer)
x = 20, y = 12, rule = B3/S23 18bo$4bo11b2obo$2b2obo8b2o$2o15b2o$bob2o9b3o$2bo2$5bo7b3o$3b2obo4b2o$6b2o6b2o$2bob2o4bob2o$3bo7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 20 GPS 2 AUTOSTART ]]
20P4 on left, inverted frutterfly on right
(click above to open LifeViewer)


Occurrence

This oscillator has not occurred in an asymmetric soup as of March 2024, but has in asymmetrical ash far from the centre in a C2_1 - a symmetry not conducive to this oscillator - soup found by Charity Engine on 2022-06-16.[1]

Glider synthesis

The smallest known glider synthesis of this, as of March 2024, requires eight gliders.

See also

References

External links