34P7: Difference between revisions

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|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>

Revision as of 19:05, 4 July 2025

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 ]]
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

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.[2] 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 = 45, y = 68, rule = B3/S23 15$21b2o$21bo2bo3$19bo4bo$19bo2b2o$19b2o$15b2o$15b3o6bobo$14bo3bo8b2o $17b3o2b2o3b2o$7bo2bo3bo3bo4bobobo$11bo4b2o6b3o$6bo4bo4bo8bo3b3o$6b2o 21bo$12bo21b2o$10b3o3bo8bo4bo4bo$15b3o6b2o4bo$14bobobo4bo3bo3bo2bo$13b 2o3b2o2b3o$13b2o8bo3bo$15bobo6b3o$25b2o$21b2o$18b2o2bo$17bo4bo2$7bo4b 2o$5bobo4bobo2bo2bo$3bo2bo6b3o3b2o$2b3obobo5b2o$b2o3b4o3b2o$2o5bobob3o $3o6bo2bo$bobo4bobo$2b2o4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 7 THUMBSIZE 2 ZOOM 14 HEIGHT 600 THEME Book STARTFROM 189 ]]
p189 with 56P27
(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 = 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