Frutterfly: Difference between revisions

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C1 occurrence earlier this month (not sure about how the attribution reference should be displayed)
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|v                = 0.86
|v                = 0.86
|sv              = 0.86
|sv              = 0.86
|symmetry        = -e
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B3678/S02378
|rulemax          = B3678/S02378
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'''Frutterfly'''<ref>suggested name in the comments of object's Catagolue page</ref> is a {{period|4}} [[oscillator]], and is among the smallest true-period-4 oscillators not based on [[mold]].
'''Frutterfly'''<ref>suggested name in the comments of object's Catagolue page</ref> 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.<ref>{{LinkCatagolue|code=xp4_199aaooaaaa33aaiig|style=nobullet}}</ref>
It can nontrivially interact with one or two appropriate still lifes inducing a [[null reaction|null]] [[rock]] reaction, such as a [[tub]], [[beehive]], [[loaf]] or [[mango]], and is arbitrarily extensible.<ref>{{LinkCatagolue|code=xp4_199aaooaaaa33aaiig|style=nobullet}}</ref>


{{EmbedViewer
{{EmbedViewer
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|rle          = x = 19, y = 32, rule = B3/S23
|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!
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!
|viewerconfig = #C [[ HEIGHT 560 WIDTH 560 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART OFF ]]
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 14 GPS 2 AUTOSTART OFF ]]
|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 11*14 44-cell predecessor of two frutterflies with debris, that is the most common origin in reflectionally-symmetric soups.
|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.
|style        = width:300px;
|style        = width:300px;
}}
}}


Frutterfly has occurred semi-naturally six times combined in the [[Static_symmetry#C2|C2_2]], G2_2, D4_x1 and D4_x4 censuses, which are no more conducive to orthogonally-reflectionally-symmetrical occurrences than C1.<ref name="post147838" /> 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<ref>{{cata|hashsoup/G2_2/o_vrzFBzSMja62322464693/b3s23|the second G2_2 soup}} in question (and its {{cata|hashsoup/C1/o_vrzFBzSMja62322464693/b3s23|C1 reinterpretation}}), found before 2023-06-10 (the earliest recorded {{cata|attribute/xp4_199aaooaa991/b3s23/C2_2|attribution}}), most likely by the [[Open Science Grid]]</ref>, and making this object [[natural]]. Finally, a proper C1 occurrence was found by Charity Engine on 2023-12-06<ref>{{cata|attribute/xp4_199aaooaa991/b3s23/C1|The C1 attribution of frutterfly}}</ref>.
Frutterfly has occurred semi-naturally eight times combined in the [[Static_symmetry#C2|C2_2]], G2_2, C4_4, H4_+1, D4_x1 and D4_x4 censuses, which are no more conducive to orthogonally-reflectionally-symmetrical occurrences than C1.<ref name="post147838" /> 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<ref>{{cata|hashsoup/G2_2/o_vrzFBzSMja62322464693/b3s23|the second G2_2 soup}} in question (and its {{cata|hashsoup/C1/o_vrzFBzSMja62322464693/b3s23|C1 reinterpretation}}), found before 2023-06-10 (the earliest recorded {{cata|attribute/xp4_199aaooaa991/b3s23/C2_2|attribution}}), most likely by the [[Open Science Grid]]</ref>, and making this object [[natural]]. Finally, a proper C1 occurrence was found by Charity Engine on 2023-12-06, with one occurrence in over 267 quadrillion soups.<ref>{{cata|attribute/xp4_199aaooaa991/b3s23/C1|The C1 attribution of frutterfly}}</ref>


In [[alien rule]]s, frutterfly has occurred in asymmetric [[soup]]s in B37e/S23-q.<ref>{{cata|hashsoup/C1/k_UvbxAAtEYEn22021/b37es23-q|The occurrence in question}}, with two noninteracting copies</ref>
== In other rules ==
Frutterfly occurs in approximately one in 20000 asymmetric [[soup]]s in B37e/S23-q, owing to a common evolution sequence for a pair of frutterflies (preserving a [[gutter]] between them) from a pair of [[traffic light]] predecessors displaced by 9 cells.
{{EmbedViewer
|rle          = x = 12, y = 2, rule = B37e/S23-q
3o6b3o$bo8bo!
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 420 ZOOM 22 Y -1/2 GPS 8 AUTOSTART T 0 PAUSE 2 T 55 PAUSE 2 LOOP 71 ]]
|position    = center
|caption      =
|style        = width:300px;
}}


== See also ==
== See also ==
* [[20P4]]
* [[20P4]]
* [[Inverted frutterfly]]
* [[Pond-bound keys]]
* [[Pond-bound keys]]
* [[Windmill]]


== References ==
== References ==
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* {{LinkCatagolue|xp4_6952giiaa33aaiig2596|patternname=Frutterfly with two loaves}}
* {{LinkCatagolue|xp4_6952giiaa33aaiig2596|patternname=Frutterfly with two loaves}}


{{symmetry|orthogonal2}}
[[Category:Natural periodic objects]]
[[Category:Natural periodic objects]]
__NOTOC__
__NOTOC__

Latest revision as of 14:06, 7 August 2024

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 -e
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 inducing a null rock reaction, 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 [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 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 occurred semi-naturally eight times combined in the C2_2, G2_2, C4_4, H4_+1, 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. Finally, a proper C1 occurrence was found by Charity Engine on 2023-12-06, with one occurrence in over 267 quadrillion soups.[5]

In other rules

Frutterfly occurs in approximately one in 20000 asymmetric soups in B37e/S23-q, owing to a common evolution sequence for a pair of frutterflies (preserving a gutter between them) from a pair of traffic light predecessors displaced by 9 cells.

x = 12, y = 2, rule = B37e/S23-q 3o6b3o$bo8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 420 ZOOM 22 Y -1/2 GPS 8 AUTOSTART T 0 PAUSE 2 T 55 PAUSE 2 LOOP 71 ]]
(click above to open LifeViewer)

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 C1 attribution of frutterfly