Frutterfly: Difference between revisions
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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 | ||
|rle = x = 45, y = 6, rule = B3/S23 | |rle = x = 45, y = 6, rule = B3/S23 | ||
3b3o6b3o13b3o6b3o$6b2o2b2o19b2o2b2o$bo14b2o7b2o14b2o$ | 3b3o6b3o13b3o6b3o$6b2o2b2o19b2o2b2o$bo14b2o7b2o14b2o$obob10obo2bo5bo2bob10obo2bo$bo6b2o6b2o6bobo6b2o6bo2bo$25bo16b2o! | ||
|viewerconfig = #C [[ HEIGHT 360 WIDTH 740 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART ]] | |viewerconfig = #C [[ HEIGHT 360 WIDTH 740 THUMBSIZE 2 ZOOM 14 GPS 2 AUTOSTART ]] | ||
|position = center | |position = center | ||
| Line 36: | Line 36: | ||
== Occurrences in Catagolue == | == 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]] | * [[20P4]] | ||
* [[Inverted frutterfly]] | |||
* [[Pond-bound keys]] | * [[Pond-bound keys]] | ||
* [[Windmill]] | |||
== References == | == References == | ||
| Line 59: | Line 79: | ||
* {{LinkCatagolue|xp4_6952giiaa33aaiig2596|patternname=Frutterfly with two loaves}} | * {{LinkCatagolue|xp4_6952giiaa33aaiig2596|patternname=Frutterfly with two loaves}} | ||
[[Category:Natural periodic objects]] | |||
[[Category: | |||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 14:06, 7 August 2024
| Frutterfly | |||||||||
| 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 | ||||||||
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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]
| frutterfly interacting with still lifes (click above to open LifeViewer) |
Occurrences in Catagolue
| 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.
| (click above to open LifeViewer) |
See also
References
- ↑ suggested name in the comments of object's Catagolue page
- ↑ xp4_199aaooaaaa33aaiig at Adam P. Goucher's Catagolue
- ↑ DroneBetter (July 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ 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
- ↑ The C1 attribution of frutterfly
External links
Categories:
- Patterns
- Oscillators with 22 cells
- Periodic objects with minimum population 22
- Patterns with 22 cells
- Patterns that can be constructed with 8 gliders
- Oscillators
- Oscillators with period 4
- Oscillators with mod 4
- Oscillators with heat 18
- Oscillators with volatility 0.86
- Oscillators with strict volatility 0.86
- Oscillators with -e symmetry
- Natural periodic objects