Frutterfly: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older edit
Muzik (talk | contribs)
Trusted users
24,384 edits
was looking at rules that were two transitions from Life and found this by coincidence (before this page was created)
No edit summary
 
(31 intermediate revisions by 10 users not shown)
Line 4: Line 4:
|c                = 22
|c                = 22
|bx              = 12
|bx              = 12
|by              = 15
|by              = 6
|p                = 4
|p                = 4
|m                = 4
|m                = 4
|h                = 18
|h                = 18
|v                = 0.86
|v                = 0.86
|sv              = 0.86
|symmetry        = -e
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B3678/S02378
|rulemax          = B3678/S02378
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemin      = B3-ckqy/S2-n3ar
|isorulemin      = B3-ckqy/S2-n3ar
|isorulemax      = B2in34cejqrw5-ajr678/S0234-arz5-i6-a78
|isorulemax      = B2in34cejqrw5-ajr678/S0234-arz5-i6-a78
Line 18: Line 20:
|rle              = true
|rle              = true
|apgcode          = xp4_199aaooaa991
|apgcode          = xp4_199aaooaa991
|animated        = true
|viewerconfig    = #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 3 ZOOM 30 GPS 4 ]]
|viewerconfig    = #C [[ GPS 4 THUMBSIZE 2 ]]
}}
}}
'''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 has occurred in asymmetric soups in B37e/S23-q, but not in Life.
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
|rle          = x = 45, y = 6, rule = B3/S23
3b3o6b3o13b3o6b3o$6b2o2b2o19b2o2b2o$bo14b2o7b2o14b2o$obob10obo2bo5bo2bob10obo2bo$bo6b2o6b2o6bobo6b2o6bo2bo$25bo16b2o!
|viewerconfig = #C [[ HEIGHT 360 WIDTH 740 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART ]]
|position    = center
|caption      = frutterfly interacting with still lifes
|style        = width:300px;
}}
 
== Occurrences in Catagolue ==
{{EmbedViewer
|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!
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 560 HEIGHT 560 ZOOM 14 GPS 2 AUTOSTART OFF ]]
|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.
|style        = width:300px;
}}
 
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 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]]
* [[Inverted frutterfly]]
* [[Pond-bound keys]]
* [[Pond-bound keys]]
* [[Windmill]]


== References ==
== References ==
<references />
<references>
<ref name="post147838">{{LinkForumThread
|format = ref
|p      = 147838
|title  = Re: Synthesising Oscillators
|author = DroneBetter
|date  = July 3, 2022
}}</ref>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xp4_199aaooaa991}}
* {{LinkCatagolue|xp4_199aaooaa991}}
* {{LinkCatagolue|xp4_6952giiaa33aaiig2596|patternname=Frutterfly with two loaves}}


[[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 ]]
View static image
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
Retrieved from "https://conwaylife.com/w/index.php?title=Frutterfly&oldid=152124"