Inverted frutterfly: Difference between revisions

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Created page with "{{Oscillator |name = Inverted frutterfly |pname = invertedfrutterfly |c = 22 |bx = 12 |by = 10 |p = 4 |m = 4 |h = 18 |v = 0.86 |sv = 0.86 |rulemin = B3/S23 |rulemax = B3678/S02378 |rulespecial = Conway Life, {{rl|HighLife}} |isorulemin = B3-ckqy/S2-n3aqr |isorulemax = B2in3..."
 
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{{Oscillator
{{Oscillator
|name             = Inverted frutterfly
|name         = Inverted frutterfly
|pname           = invertedfrutterfly
|pname       = invertedfrutterfly
|c               = 22
|c           = 22
|bx               = 12
|bx           = 12
|by               = 10
|by           = 10
|p               = 4
|p           = 4
|m               = 4
|m           = 4
|h               = 18
|h           = 18
|v               = 0.86
|v           = 0.86
|sv               = 0.86
|sv           = 0.86
|rulemin         = B3/S23
|symmetry    = .k
|rulemax         = B3678/S02378
|rulemin     = B3/S23
|rulespecial     = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|rulemax     = B3678/S02378
|isorulemin       = B3-ckqy/S2-n3aqr
|rulespecial = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemax       = B2in34cejqrw5-jr678/S0234-arz5-i6-a78
|isorulemin   = B3-ckqy/S2-n3aqr
|synthesis       = 8
|isorulemax   = B2in34cejqrw5-jr678/S0234-arz5-i6-a78
|plaintext       = true
|synthesis   = 8
|rle             = true
|plaintext   = true
|apgcode         = xp4_1770e6zy0ce0ssg
|rle         = true
|viewerconfig     = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 4 ]]
|apgcode     = xp4_1770e6zy0ce0ssg
|viewerconfig = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 4 ]]
}}
}}
'''Inverted frutterfly''' is a {{period|4}} [[oscillator]], and is among the smallest true-period-4 oscillators not based on [[mold]].
'''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 nontrivislly react with many small still lifes as to produce larger period-4 oscillators.
Much like the [[frutterfly]], it can nontrivially react with many small still lifes as to produce larger period-4 oscillators.


== Relation to other oscillators ==
== Relation to other oscillators ==
{{EmbedViewer
Inverted frutterfly is easily seen to be closely related to frutterfly, in which both halves are mirrored instead of rotated.
|rle          = 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!
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.
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 14 GPS 2 AUTOSTART OFF ]]
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle          = x = 42, y = 8, rule = B3/S23
3o6b3o3b3o$3b2o2b2o9b2o2$b10o5b6o13b2o$5b2o13b6o5b10o2$22b2o9b2o2b2o$
24b3o3b3o6b3o!
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 14 GPS 2 AUTOSTART ]]
|position    = center
|caption      = Inverted frutterfly in center, with one frutterfly on each side for comparison
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 20, y = 12, rule = B3/S23
18bo$4bo11b2obo$2b2obo8b2o$2o15b2o$bob2o9b3o$2bo2$5bo7b3o$3b2obo4b2o$6b2o6b2o$2bob2o4bob2o$3bo7bo!
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 20 GPS 2 AUTOSTART ]]
|position    = center
|position    = center
|caption      = A predecessor from the {{cata|hashsoup/G2_2/o_hGUWHQ2tniBu277812577/b3s23|third G2_2 soup}}, which in generation 56 becomes an {{times|11|14}} 44-cell predecessor of two frutterflies with debris, that is the most common origin in reflectionally-symmetric soups.
|caption      = 20P4 on left, inverted frutterfly on right
|style        = width:300px;
|style        = width:300px;
}}
}}}}
{{gallery bottom}}
 
== Occurrence ==
This oscillator has not occurred in an asymmetric soup {{as of|October 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.<ref name="xp4_1770e6zy0ce0ssg-occurrence"/>
 
== Glider synthesis ==
The smallest known [[glider synthesis]] of this, {{as of|October 2024}}, requires eight gliders.


== See also ==
== See also ==
* [[20P4]]
* [[Pond-bound keys]]
* [[Pond-bound keys]]
* [[Windmill]]
== References ==
<references>
<ref name="xp4_1770e6zy0ce0ssg-occurrence">{{cata|hashsoup/C2_1/c_pdH0TM2WUt9V425544301/b3s23|the soup in question}}, {{cata|attribute/xp4_1770e6zy0ce0ssg/b3s23/C2_1|the attribution page}}</ref>
</references>


== External links ==
== External links ==

Latest revision as of 20:13, 7 June 2026

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 ]]
View static image
Pattern type Oscillator
Number of cells 22
Bounding box 12 × 10
Period 4 (mod: 4)
Heat 18
Volatility 0.86 | 0.86
Kinetic symmetry .k
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 October 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 October 2024, requires eight gliders.

See also

References

  1. ↑ the soup in question, the attribution page


Retrieved from "https://conwaylife.com/w/index.php?title=Inverted_frutterfly&oldid=173222"