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Line 9: Line 9:
|h                = 31.4
|h                = 31.4
|v                = 0.94
|v                = 0.94
|symmetry        = .e
|discoverer      = Charity Engine
|discoverer      = Charity Engine
|discoveryear    = 2022
|discoveryear    = 2022
|rulemin          = B3/S23
|rulemin          = B3/S23
|rulemax          = B378/S2378
|rulemax          = B378/S2378
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3-cky/S23-ck
|isorulemin      = B3-cky/S23-ck
|isorulemax      = B34ce5acey6ci78/S234ceikt5aekqr6-ak78
|isorulemax      = B34ce5acey6ci78/S234ceikt5aekqr6-ak78
Line 19: Line 19:
|rle              = true
|rle              = true
|apgcode          = xp7_660g0fmz0cqb0t53zw6fx66
|apgcode          = xp7_660g0fmz0cqb0t53zw6fx66
|viewerconfig    = #C [[ ZOOM 27 GPS 3 LOOP 7 HEIGHT 480 WIDTH 480 ]]
|viewerconfig    = #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 27 GPS 3 LOOP 7 ]]
}}
}}
'''34P7''' is a {{period|7}} [[oscillator]] found by [[Charity Engine]] on August 2, {{year|2022}}.<ref name="post149077" /> It is one of the useful [[period-7 sparkers]] that produces a similar [[spark]] to [[meatball]]; for an application see [[p49 R-pentomino hassler]].
'''34P7''' is a {{period|7}} [[oscillator]] found by [[Charity Engine]] on August 2, {{year|2022}}.<ref name="post149077" /> It is one of the useful [[period-7 sparkers]] that produces a similar [[corner dot]] [[spark]] to [[meatball]]; for an application see [[p49 R-pentomino hassler]].


Meatball and 34P7 have different profiles; while they are mostly interchangeable, there are some situations where one gets hit later on but the other doesn't. When either could be used, 34P7 has a smaller population, but meatball has a smaller bounding box.
Meatball and 34P7 have different profiles; while they are mostly interchangeable, there are some situations where one gets hit later on but the other doesn't. When either could be used, 34P7 has a smaller population, but meatball has a smaller bounding box.


==LCM oscillators==
== LCM oscillators ==
{{related|LCM oscillator}}
{{related|LCM oscillator}}
The oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.<ref name="post149093" />
Being the smallest p7 oscillator that gives useable sparks, 34P7 is used in many LCM oscillators that are the Smallest Known Oscillators of their Periods ([[SKOP]]s). The select oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.<ref name="post149093" /> Do note that while [[34P14]] is equal in size and usually won't outperform 34p7, in rare instances [[32P21]] is more optimal for [[SKOP]] formation.
{|style="margin-left:auto;margin-right:auto;width:240px;"
The oscillators are shown with visible [[envelope]], to highlight interactions between subpatterns.
|{{EmbedViewer
{{gallery top}}
<!--{{gallery item|{{EmbedViewer
|pname        = 34p7onp9thumb
|pname        = 34p7onp9thumb
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 63 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 63 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p63 with [[p9 thumb]]
|caption      = p63 with [[p9 thumb]]
|style        = width:300px;
|apgcode      = xp63_33j71t8ggz678u0h431zx223333zoo0u240s4ogkczx342sj2ac
|apgcode      = xp63_33j71t8ggz678u0h431zx223333zoo0u240s4ogkczx342sj2ac
}}
}}}} (superseded by [[32P21 phase-shifting p5]])-->
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|pname        = 34p7onrattlesnake
|pname        = 34p7onrattlesnake
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 77 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 77 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p77 with [[rattlesnake]]
|caption      = p77 with [[rattlesnake]]
|style        = width:300px;
|apgcode      = xp77_0jjg08c2a2oggcxqmz3w145431wccy3gozya8kkn9b4303213zyd1
|apgcode      = xp77_0jjg08c2a2oggcxqmz3w145431wccy3gozya8kkn9b4303213zyd1
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname        = 34p7onbeluchenkosp13
|pname        = 34p7onbeluchenkosp13
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 91 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 91 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p91 with [[Beluchenko's p13]]
|caption      = p91 with [[Beluchenko's p13]]
|style        = width:300px;
|apgcode      = xp91_g8e1qiga64oy0oggz78ok2im0s43xsd4pzy31w66x110ciqs0ae8zyccc
|apgcode      = xp91_g8e1qiga64oy0oggz78ok2im0s43xsd4pzy31w66x110ciqs0ae8zyccc
}}
}}}}
|{{EmbedViewer
{{gallery item|{{EmbedViewer
|pname        = 34p7onpentadecathlon
|pname        = 34p7onpentadecathlon
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 105 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 105 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p105 with [[pentadecathlon]]
|caption      = p105 with [[pentadecathlon]]
|style        = width:300px;
|apgcode      = xp105_o08cbb2408fvy2skszff1024dd3101y2vnv
|apgcode      = xp105_o08cbb2408fvy2skszff1024dd3101y2vnv
}}
}}}}
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname        = 34p7on30p25
|pname        = 34p7on30p25
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 450 THEME Book STARTFROM 175 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 175 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p175 with [[30P25]]
|caption      = p175 with [[30P25]]
|style        = width:300px;
|apgcode      = xp175_32aczy0ooj64zy74cp33zyc6a8ozy3mf0g066zy235t0bqczy166xf6
|apgcode      = xp175_32aczy0ooj64zy74cp33zyc6a8ozy3mf0g066zy235t0bqczy166xf6
}}
}}}}
|{{EmbedViewer
<!--{{gallery item|{{EmbedViewer
|pname        = 34p7on56p27
|pname        = 34p7on56p27
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 600 THEME Book STARTFROM 189 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 189 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p189 with [[56P27]]
|caption      = p189 with [[56P27]]
|style        = width:300px;
|apgcode      = xp189_660g0fmz0cqb0t53y7g033zw6fx66y3a9871zy2ooyf789q8zy62bi2syf33zyhgs2iazyfoo01
|apgcode      = xp189_660g0fmz0cqb0t53y7g033zw6fx66y3a9871zy2ooyf789q8zy62bi2syf33zyhgs2iazyfoo01
}}
}}}} (superseded by [[32P21]] on [[56P27]])-->
|-
{{gallery item|{{EmbedViewer
|{{EmbedViewer
|pname        = 34p7onmerzenichsp31
|pname        = 34p7onmerzenichsp31
|viewerconfig = #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 450 THEME Book STARTFROM 217 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 7 LOOP 217 THUMBSIZE 2 ZOOM 12 HEIGHT 450 ]]
|caption      = p217 with [[Merzenich's p31]]
|caption      = p217 with [[Merzenich's p31]]
|style        = width:300px;
|apgcode      = xp217_ccy04ajaeweaja4y0cczz66y04apaeweapa4y066zzy1mf0g066zy035t0bqczx66xf6
|apgcode      = xp217_ccy04ajaeweaja4y0cczz66y04apaeweapa4y066zzy1mf0g066zy035t0bqczx66xf6
}}
}}}}
|}
{{gallery item|{{EmbedViewer
|rle = x = 23, y = 36, rule = B3/S23
10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o4$2b2o$bobo$bo$2o$19b2o$19bo$13b2o5b3o$8b2o2bo9bo$8b2o2bo$12b2o$15bo$11bobobo$10b2o3bo$9bo3b2o$9bobobo$9bo$11b2o$12bo2b2o$12bo2b2o$10b2o!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 500 ZOOM 12 GPS 24 STARTFROM 476 THEME BOOK ]]
|caption      = p476 with [[p68 century hassler]]
|apgcode      = xp476_y4gg8t17j33zy4134h0u876zy4333322y1ok46z178czx8oy5c6koz0311zy6rq23
}}}}
{{gallery item|{{EmbedViewer
|pname        = 34p7onp129rpentominohassler
|position    = center
|viewerconfig = #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 400 STARTFROM 903 THEME BOOK ]]
|caption      = p903 with [[p129 R-pentomino hassler]]
|style        = width:300px;
|apgcode      = xp903_ggyhca23z0346ycggzyf13zyzy0gs8zyzyi62sgzynmf0g066y0c453zym35t0bqczyl66xf6
}}}}
{{gallery bottom}}


==References==
== References ==
<references>
<references>
<ref name="post149077">{{LinkForumThread
<ref name="post149077">{{LinkForumThread
Line 96: Line 117:
|title  = Re: Smallest Known Oscillators to p106 (and Beyond)
|title  = Re: Smallest Known Oscillators to p106 (and Beyond)
|p      = 149093
|p      = 149093
|author = AlbertArmStain
|author = Anivec
|date  = August 3, 2022
|date  = August 3, 2022
}}</ref>
}}</ref>
</references>
</references>


==External links==
== External links ==
* {{LinkCatagolue|xp7_660g0fmz0cqb0t53zw6fx66}}, and variations of which
* {{LinkCatagolue|xp7_660g0fmz0cqb0t53zw6fx66}}, and variations of which
** {{LinkCatagolue|xp7_660g0fmz0cqb0t53zw6fx66y2g8gzy3cn2l2244a4e3zy51y3660g0fmzyecqb0t53zyf6fx66|style=raw|patternname=Two 34P7s hassling unnamed object}} (the [[Highest volatility period-7 oscillators|second-highest-volatility period-7 oscillator]] known)
** {{LinkCatagolue|xp7_660g0fmz0cqb0t53zw6fx66y2g8gzy3cn2l2244a4e3zy51y3660g0fmzyecqb0t53zyf6fx66|style=raw|patternname=Two 34P7s hassling unnamed object}} (the [[Highest volatility period-7 oscillators|second-highest-volatility period-7 oscillator]] known)
Line 107: Line 128:


[[Category:Unnamed periodic objects]]
[[Category:Unnamed periodic objects]]
{{Symmetry|180degree}}
{{Sparker|p=7|type=dot|strength=strong}}
{{Sparker|p=7|type=dot|strength=strong}}
{{seminatural}}
{{seminatural}}

Latest revision as of 16:13, 26 February 2026

34P7
x = 9, y = 16, rule = B3/S23 bo2bo$5bo$o5bo$2o4bo$5bo$4bo$3b4obo$3bo3bo$bo3bo$ob4o$4bo$3bo$2bo4b2o$ 2bo5bo$3bo$4bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 600 THUMBSIZE 3 ZOOM 27 GPS 3 LOOP 7 ]]
View static image
Pattern type Oscillator
Number of cells 34
Bounding box 9 × 16
Period 7 (mod: 7)
Heat 31.4
Volatility 0.94 | 0.94
Kinetic symmetry .e
Discovered by Charity Engine
Year of discovery 2022

34P7 is a period-7 oscillator found by Charity Engine on August 2, 2022.[1] It is one of the useful period-7 sparkers that produces a similar corner dot spark to meatball; for an application see p49 R-pentomino hassler.

Meatball and 34P7 have different profiles; while they are mostly interchangeable, there are some situations where one gets hit later on but the other doesn't. When either could be used, 34P7 has a smaller population, but meatball has a smaller bounding box.

LCM oscillators

See also: LCM oscillator

Being the smallest p7 oscillator that gives useable sparks, 34P7 is used in many LCM oscillators that are the Smallest Known Oscillators of their Periods (SKOPs). The select oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.[2] Do note that while 34P14 is equal in size and usually won't outperform 34p7, in rare instances 32P21 is more optimal for SKOP formation. The oscillators are shown with visible envelope, to highlight interactions between subpatterns.

x = 28, y = 16, rule = B3/S23 18bo$16b3o$15bo3b2o$16b3o2bo$18bobobob2obo$19bo2bobob2o$18bo2b2o$7bo4b 2o9bo$5bobo4bobo2bo$3bo2bo6b3o6bo$2b3obobo5b2o$b2o3b4o3b2o3b2o$2o5bob ob3o4bo$3o6bo2bo6bo$bobo4bobo7b2o$2b2o4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 77 ]]
p77 with rattlesnake
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 31, y = 20, rule = B3/S23 20b2o$20b2o2$23bo2bo$22bo6bo$22bo7bo$14b2o6bo3b2obo$14b2o7b3o$18b3o$17b o3bo$21bo$7bo4b2o7bo$5bobo4bobo2bo2bo$3bo2bo6b3o4bo$2b3obobo5b2o$b2o3b 4o3b2o3bobo$2o5bobob3o5bo$3o6bo2bo$bobo4bobo$2b2o4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 91 ]]
p91 with Beluchenko's p13
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 26, y = 11, rule = B3/S23 20b3o$19bo3bo$2b2o5bo8bo5bo$o2bo4bo$9bo2b2o3bo7bo$6b2obobo2bo2bo7bo$o 4b2o2b2o4bo$bo2bobob2o8bo5bo$2b2o2bo12bo3bo$7bo4bo2bo4b3o$6bo5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 16 HEIGHT 450 THEME Book STARTFROM 105 ]]
p105 with pentadecathlon
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 35, y = 20, rule = B3/S23 15b2o$16bo$16bobo$17b2o3bo$23b2o$23b2o$7bo4b2o5bo3bo3bo$5bobo4bobo2bob o3bo3b3o$3bo2bo6b3o6b2o3b3o$2b3obobo5b2o6b2o4b3o$b2o3b4o3b2o4b3o4b2o$ 2o5bobob3o6b3o3b2o$3o6bo2bo7b3o3bo3bobo$bobo4bobo11bo3bo3bo$2b2o4bo16b 2o$25b2o$27bo3b2o$31bobo$33bo$33b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 450 THEME Book STARTFROM 175 ]]
p175 with 30P25
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 38, y = 24, rule = B3/S23 22b2o7b2o$22b2o7b2o6$19bobo11bobo$18bo2b2o9b2o2bo$21b3o7b3o$20bo2b2o5b 2o2bo$17bo2bob3o5b3obo2bo$6bo5b2o3bo2bob3o5b3obo2bo$7bo4bo2bo4bo2b2o5b 2o2bo$2b2o2bo14b3o7b3o$bo2bobob2o8bo2b2o9b2o2bo$o4b2o2b2o4bo3bobo11bo bo$6b2obobo2bo$9bo2b2o$o2bo4bo$2b2o5bo2$22b2o7b2o$22b2o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 450 THEME Book STARTFROM 217 ]]
p217 with Merzenich's p31
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 23, y = 36, rule = B3/S23 10b2o$10b2o2$10b4o$10bo2bo4$bo$b3o12bo$4bo12bo$3b2o9bo2bo$14b3o4$2b2o$bobo$bo$2o$19b2o$19bo$13b2o5b3o$8b2o2bo9bo$8b2o2bo$12b2o$15bo$11bobobo$10b2o3bo$9bo3b2o$9bobobo$9bo$11b2o$12bo2b2o$12bo2b2o$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 500 ZOOM 12 GPS 24 STARTFROM 476 THEME BOOK ]]
p476 with p68 century hassler
(click above to open LifeViewer)
Catagolue: here
x = 65, y = 40, rule = B3/S23 26bo$24b3o$23bo$23b2o$2o$bo$bobo$2b2o2$20b2o$19b2o$20bo6$44bo$44b2o$ 43b2o2$61b2o$61bobo$63bo$29bo2bo30b2o$28bo11b2o$27bo5bo7bo$27bo4b2o4b 3o$28bo9bo$29bo$25bob4o$26bo3bo$28bo3bo$28b4obo$29bo$30bo$25b2o4bo$25b o5bo$30bo$26bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 15 ZOOM 8 THUMBSIZE 2 HEIGHT 400 STARTFROM 903 THEME BOOK ]]
p903 with p129 R-pentomino hassler
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here


References

  1. ↑ dani (August 3, 2022). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  2. ↑ Anivec (August 3, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
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