51P384

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51P384
#C [[51P384]]: https://conwaylife.com/forums/viewtopic.php?p=159941#p159941 x = 30, y = 19, rule = B3/S23 11b2o$b2o8b2o$2bo$bo$b2o$3bo5b3o$b3o$o$2o2$16b2o10b2o$10b2obo2bo12bo$ 14bo11b3o$11b2o13bo$9bo2bo14b2o$9bo2bo15bo$11bo15bo$17b2o8b2o$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ WIDTH 700 HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 48 LOOP 384 ]]
View static image
Pattern type Oscillator
Number of cells 51
Bounding box 30 × 23
Period 384 (mod: 384)
Heat 30.0
Volatility 0.93 | 0.41
Kinetic symmetry n.k
Discovered by Mitchell Riley
Period1GliderGun
Year of discovery 2023

51P384 is a period-384 oscillator discovered by Mitchell Riley on April 1, 2023.[1][2] As the oscillator was discovered on April Fools' Day, Mitchell Riley pretended it was a p64 partial that needed to have the external blinkers removed. After it was "completed" as a p64, the fool was revealed that it was complete to begin with.

A 17-glider synthesis of the oscillator was found by Carson Cheng on the same day.[3][4]

On April 3, 2023, Anivec discovered that the p64 version of the oscillator can act as a filter, doubling the period of a glider stream divisible by 32 but not 64.[5]

On December 5, 2023, Period1GliderGun discovered that replacing the eater bridge snakes with figure eights results in a 49-cell form, which is the smallest known period-384 oscillator:[6]

#C 49P384, a population reduction of [[51P384]] with figure eights instead of eater bridge snakes #C 49P384: https://conwaylife.com/forums/viewtopic.php?p=172559#p172559 #C 51P384: https://conwaylife.com/forums/viewtopic.php?p=159941#p159941 x = 38, y = 19, rule = B3/S23 15b2o$15b2o3$14bo$4b2o8bo$2bob2o8bo$bo$4bo31b2o$2obo16bo13bob2o$2o18b 2o11bo$22bo13bo$13bo6b2o10b2obo$11b2o7bo11b2o$11bo$11b3o2$21b2o$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 700 THUMBSIZE 2 ZOOM 16 ]]
SKOP 384: 49P384 with figure eights[6]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Variants

x = 30, y = 19, rule = B3/S23 11b2o$b2o8b2o$2bo15bo$bo15bo2bo3b2o$b2o14bo2bo3b2o$3bo13b2o$b3o11bo$o 12bo2bob2o$2o10b2o2$28b2o$29bo$26b3o$18b3o5bo$4b2o21b2o$4b2o22bo$27bo $17b2o8b2o$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 GPS 32 STARTFROM 8 ]]
59P64, the raw engine form of the oscillator, directly suppressed by blocks
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

The oscillator is a period-64 blinker factory that stabilizes by itself at period 384. Thus, many variants of the period-64 engine are possible by tampering with the junk that the engine produces, of which some are SKOPs (smallest known oscillators of period).

x = 40, y = 21, rule = B3/S23 33b2o$33bo$16b2o13bobo$16b2o13b2o3$5bo$14b3o$3b3obo$2bob2o31bo$2b2obo $ob3o30b3obo$21b2o11bob2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$9b2o 3bo2bo16bo$9b2o3bo2bo$16bo$22b2o$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 AUTOSTART GPS 32 ]]
SKOP 128: 60P128, a period doubler discovered by iNoMed[2][7] and reduced by Period1GliderGun[6]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 40, y = 19, rule = B3/S23 16b2o17b2o$16b2o17b2o3$5bo$14b3o$3b3obo$2bob2o31bo$2b2obo$ob3o30b3obo $21b2o11bob2o$2bo12b2obo2bo12b2obo$19bo12bob3o$16b2o$9b2o3bo2bo16bo$9b 2o3bo2bo$16bo$22b2o$22b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 AUTOSTART GPS 32 ]]
SKOP 192: 57P192, a period tripler discovered by Adam P. Goucher[2][8] and reduced by Period1GliderGun.[6] (may also have its block in another position[9])
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 30, y = 37, rule = B3/S23 18b2o2$16bo3bo$16bo4bo$18bobobo$19bobobo$20bo4bo$21bo3bo2$22b2o$17bo$ 16bobo2bo$17bo3bo4b2o$20b2o4b2o5$11b2o$b2o8b2o$2bo15bo$bo14b2obo$b2o 16bo$3bo11bo3bo$b3o9bob2obo$o11bobo$2o10bobo2$28b2o$29bo$26b3o$18b3o5b o$4b2o21b2o$4b2o22bo$27bo$17b2o8b2o$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 THUMBSIZE 2 ZOOM 10 AUTOSTART GPS 32 ]]
SKOP 256: 86P256, a period quadrupler using Charity's p16 discovered by Carson Cheng[2]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 30, y = 25, rule = B3/S23 17b2o2bo$13b2o2b2o3bo$13b2o7bo$18b4o3$11b2o$b2o8b2o$2bo$bo$b2o$3bo5b3o$b3o$o$2o2$16b2o10b2o$10b2obo2bo12bo$14bo11b3o$11b2o13bo$4b2o3bo2bo14b2o$4b2o3bo2bo15bo$11bo15bo$17b2o8b2o$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 THUMBSIZE 2 ZOOM 10 AUTOSTART GPS 32 ]]
70P320, a period quintupler using the blocker discovered by Carson Cheng[10]
(click above to open LifeViewer)
Catagolue: here
x = 38, y = 39, rule = B3/S23 23b2o$24bo$24bobo$25b2o$31bo$30b2o$31bo5$28bo$28b2o$28bo$33b2o$33bobo$ 35bo$35b2o3$15b2o$15b2o2$21b3o$20b2obo$20b3o$20bo2bo12b2o$4b2o10b3o15b ob2o$2bob2o10b2o15bo$bo34bo$4bo27b2obo$2obo28b2o$2o21bo$23bo$8b2o13bo$ 8b2o2$21b2o$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THUMBSIZE 2 ZOOM 10 AUTOSTART GPS 32 ]]
SKOP 576: 77P576, a period nonupler using 22P36 discovered by Period1GliderGun[11], reducing a version with 48P9 by Carson Cheng[10]
(click above to open LifeViewer)
Catagolue: here


Guns

Many of the smallest 4-digit period glider guns make use of a specific reaction where an almost-formed block gets sparked by a dot. The base period is 192, LCMed with the sparker period. An example is shown below with meatball, multiplying the period by 7 for an overall period of 1344. Every time the block forms in the wrong generation for the glider to be formed, the block fully forms, and then the sparker cleanly deletes the block. The almost-formed block can also be created by a variant form of the smallest p80 R-pentomino hassler (see many of the 80n guns in Catagolue, starting from gun_560), a p166 R-pentomino hassler (see gun_2158), and some herschel conduits, but 51P384 is the smallest of the oscillators that can produce this block.

x = 36, y = 34, rule = B3/S23 28bo2bo$27bo$26bo5bo$25b2obobob3o$26bo3b2o3bo$26bo2bobobobo2$25bobobob o2bo$25bo3b2o3bo$26b3obobob2o$28bo5bo$33bo$29bo2bo$25bobo$25bo2bo$11b 2o14b2o$b2o8b2o6b2o$2bo15bobo$bo$b2o17bo3bo$3bo5b3o6b3obobo$b3o16b2ob 2o$o20b2o$2o2$15b3o10b2o$17bo11bo$10bo4b3o8b3o$8bobo15bo$4b2ob2o18b2o$ 4b2o2b2o18bo$27bo$17b2o8b2o$17b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 ZOOM 8 ]]
p1344 glider gun
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References

  1. ↑ Mitchell Riley (April 1, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  2. ↑ 2.0 2.1 2.2 2.3 Carson Cheng (April 1, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ Carson Cheng (April 1, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  4. ↑ shinjuku (#4044778681) (April 1, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. ↑ Anivec (April 3, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. ↑ 6.0 6.1 6.2 6.3 Period1GliderGun (December 5, 2023). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
  7. ↑ iNoMed (April 1, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  8. ↑ Adam P. Goucher (April 1, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  9. ↑ xp192_0qmy3g33y7oozca23y23zy4o8cy0572y4ckl3zy412x6xccy465zy0cc at Adam P. Goucher's Catagolue
  10. ↑ 10.0 10.1 Occurred in Carson Cheng's catforce_stdin census
  11. ↑ Period1GliderGun (November 20, 2024). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
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