User:C28/255P132

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255P132
x = 46, y = 46, rule = B3/S23 32bo$30b3o$29bo$24b2o4bo$7bo2b2o12b2o5bo$7b4o6bo9b3obo$12b2obobobo5bo bob2o$9b2ob3o4bo5bob2o11b2o$9bo9bo20bo$10b3o3b2o9bo9b2obo$12bo13b3o7b obob2o$16bo19bobo2bo$13b3o19b2o3bo$2o32bo2b2o$bo2b2o22bo4b4obo$bobo2b o20bobo4b3o$2bob2obo21bo5b2o2b2o$4bo2b4o12b2o2bo$5bob5o11b3o11bo2bo$4b o3b3o13b2o12bo$3b3o32bo$3b3o21b3o$27b3o$26bobo12bo$26b2o13bo$7bo31bob o$7bo27bo2b2obo$5bo2bo24b3o2b2o$10bo24bo$5b2o3bo28b2o2bo$11b2o26bo2bo bo$7bo3b3o26b2o2bo$11bo18b2o12b2o$5b3ob2o$4bo2bobo7b3o12bo$4b2obobo19b 3obo$5bob2o7bo3bo7bo4b3o$5bo20bo5bo3bo$4b2o10bo2bo6bo5b5o$15bo2b2o6bo bobo2bo$14bobobo2bo6bo4bob4o$14bob3o3bo11b2o2bo$15bobobobo$16bo$13b3o $13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ GPS 45 ]]
Pattern type Oscillator
Number of cells 255
Bounding box 46 × 46
Period 132
Mod 33
Heat 196.2
Volatility 0.86
Strict volatility 0.43
Discovered by Christopher D'Agostino
Year of discovery 2022

255P132 is a period 132 oscillator found by Christopher D'Agostino on December 14, 2022, which consists of a U-turner being hassled in a loop by 4 T-nosed p4's and 4 unnamed p4 domino sparkers.[note 1][1] The original form, 387P132, was found by the same user on November 9th, 2021 and used 64P6's in place of the p4's.[2]

It's one of the 4 known oscillators that hassle 1 or more U-turners, the other 2 being Raucci's p217, Charity's p25 (not alone), and an unnamed p16


x = 50, y = 50, rule = B3/S23 15b2o$11b2obobo$12bobo19bo$12bo2bo16b3o$11b2obobob2ob2o8bo$10bo3b2o3b obo4b2o4bo$11b3o5bobo4b2o5bo$14b5obo8b3obo$11b2obo2bo9bobob2o$10bobob 2o2b5o4bob2o$10bo3bo3bo4bo15b2o3bo$11b3ob2obob3o6bo8bo2bobobo2bo$13bo 6bo7b3o7bob2obob4o$37b2obo2bo$14bo4bo17bo4bob2ob2o$2b2o12b2o19b2o3bob obo2bo$3bo2b2o22bo6b2obobo2bo2b2o$3bobo2bo20bobo5b2obobo$4bob2obo21bo 5b2obobo2bo$6bo2b4o12b2o2bo7bo2bo2b3o$7bob5o11b3o9b2obobo$6bo3b3o13b2o 10bobo2b3o$5b3o30bobo4bo$5b3o21b3o7bo$29b3o$28bobo12bo$10bo17b2o13bo$ 4bo4bobo29bobo$4b3o2bobo25bo2b2obo$7bobob2o22b3o2b2o$4b3o2bo2bo24bo$4b o2bobob2o28b2o2bo$7bobob2o28bo2bobo$2o2bo2bobob2o29b2o2bo$o2bobobo3b2o 19b2o12b2o$b2ob2obo4bo17bo4bo$6bo2bob2o6b3o$b4obob2obo17bo6bo$bo2bobo bo2bo6bo3bo4b3obob2ob3o$5bo3b2o15bo4bo3bo3bo$18bo2bo5b5o2b2obobo$17bo 2b2o10bo2bob2o$16bobobo2bo5bob5o$16bob3o3bo3bobo5b3o$17bobobobo4bobo3b 2o3bo$18bo8b2ob2obobob2o$15b3o16bo2bo$15bo19bobo$33bobob2o$33b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 45 THUMBLAUNCH THUMBSIZE 2 THEME 6 ]]
the orginal form of the oscillator (click above to open LifeViewer)
RLE: here Plaintext: here
Catagoluehere

Variations

The reaction used in the oscillator (which was found a few hours before the original oscillator itself[3]) works with any domino sparker of period 4 and above[note 2] and any dot sparker of period 4 and above (excluding p6). Since the dot sparker prevents the formation of a traffic light that would otherwise destroy the oscillator, it can be shifted or replaced with domino sparkers[4]. Some examples are shown below.

68b2o3bo45b2o3bo$67bo2bobobo2bo29b3o8bo2bobobo2bo$3b3o8b2o3bo37b3o7bo b2obob4o29b3o8bob2obob4o$3b3o7bo2bobobo2bo33b3o6b2o4bo33bobo8b2o4bo$2b obo8bob2obob4o32bobo6bo2bob2obob3o28b2o8bo2bob2obob3o$2b2o8b2obo2bo37b 2o6b3o2bobobo4bo36b3o2bobobo4bo$11bo2bob2ob5o40b3o4bob2o2b2o36b3o4bob 2o2b2o$11bo2bo2bobobo2bo39b3o4b3o41b3o4b3o$11bo5bo2bo2b2o39b3ob2o4bo40b 3ob2o4bo$11bo3bob2o46bo3bobob2o41bo3bobob2o$11bo3bobo2bo45b2obobo45b2o bobo$11bo3bob4o46bobo2b3o43bobo2b3o$12b2obobo49bobo4bo35b2o6bobo4bo$6b 2o5bobo2b3o39b2o6bo39bo4bo5bo$4bo4bo3bobo4bo37bo4bo$14bo92bo6bo$3bo6b o46bo6bo40b3obob2ob3o$b3obob2ob3o42b3obob2ob3o37bo4bo3bo3bo$o4bo3bo3b o40bo4bo3bo3bo37b5o2b2obobo$b5o2b2obobo41b5o2b2obobo42bo2bob2o$6bo2bo b2o47bo2bob2o40bob5o$3bob5o47bob5o42bobo5b3o$2bobo5b3o43bobo5b3o39bob o3b2o3bo$2bobo3b2o3bo42bobo3b2o3bo37b2ob2obobob2o$b2ob2obobob2o42b2ob 2obobob2o45bo2bo$8bo2bo50bo2bo47bobo$9bobo51bobo45bobob2o$7bobob2o48b obob2o44b2o$7b2o52b2o17$53b3o$3b3o47b3o$3b3o6b2ob2o35bobo$2bobo8bobo36b 2o8b2ob2o$2b2o8bo2bo47bobo$15bob2o43bo2bo$11bobobobo47bob2o$10bobob2o bo43bobobobo$11b2o3bo43bobob2obo$13b3o45b2o3bo$13bo49b3o$56b2o5bo$6b2o 46bo4bo$4bo4bo$53bo6bo$3bo6bo40b3obob2ob3o$b3obob2ob3o37bo4bo3bo3bo$o 4bo3bo3bo37b5o2b2obobo$b5o2b2obobo42bo2bob2o$6bo2bob2o40bob5o$3bob5o42b obo5b3o$2bobo5b3o39bobo3b2o3bo$2bobo3b2o3bo37b2ob2obobob2o$b2ob2obobo b2o45bo2bo$8bo2bo47bobo$9bobo45bobob2o$7bobob2o44b2o$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 10 THUMBSIZE 2 ]]
(click above to open LifeViewer)

One of them can be used to make 394P132[5]

15b2o$11b2obobo$12bobo$12bo2bo$11b2obobob2ob2o$10bo3b2o3bobo7bo$11b3o 5bobo7b3o$14b5obo5bo5bo$11b2obo2bo8b6obo$10bobob2o2b5o8bobo$10bo3bo3b o4bo2b2obo3b2o4b2o3bo$11b3ob2obob3o3b2o4bo5bo2bobobo2bo$13bo6bo7b2o2b o5bob2obob4o$30b2o5b2obo2bo$14bo4bo17bo4bob2ob2o$10bo5b2o19b2o3bobobo 2bo$8b3o18bo7b2obobo2bo2b2o$7bo3b2o15bob2o5b2obobo$6bob2obobo13b2ob2o 5b2obobo2bo$6bobobobo12b5o7bo2bo2b3o$5b2obo16b3o9b2obobo$8bo2bo14b2o10b obo2b3o$8bobo27bobo4bo$7b2ob2o17b3o7bo$29b3o$28bobo$10bo17b2o8b2ob2o$ 4bo4bobo27bobo$4b3o2bobo26bo2bo$7bobob2o28bob2o$4b3o2bo2bo24bobobobo$ 4bo2bobob2o23bobob2obo$7bobob2o24b2o3bo$2o2bo2bobob2o26b3o$o2bobobo3b 2o19b2o5bo$b2ob2obo4bo17bo4bo$6bo2bob2o5b2o$b4obob2obo5bo2b2o7bo6bo$b o2bobobo2bo5bo4b2o3b3obob2ob3o$5bo3b2o4b2o3bob2o2bo4bo3bo3bo$16bobo8b 5o2b2obobo$16bob6o8bo2bob2o$17bo5bo5bob5o$18b3o7bobo5b3o$20bo7bobo3b2o 3bo$27b2ob2obobob2o$34bo2bo$35bobo$33bobob2o$33b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 45 THUMBSIZE 2 ]]
394P132 (click above to open LifeViewer)

The bounding box of 387P132 can be reduced to 46-by-46 cells by replacing the 64P6s with modified 80P6s, at the cost of increased population[6][7].

5b2o2b2ob2o18bo$5bo2bobobo17b3o$6b2o2bo3b2obo11bo10b2o$3b3o2bobo3bob2o 2bo3b2o4bo8bo2bo$2bo2bob2obo7b3o3b2o5bo7bo2bo$2bo2bobo4b6o9b3obo5bob4o b2o$3b3o2b3o3bo2bob2o4bobob2o6b2o4bobo$6bobo2b3o2b2obobo3bob2o11b2obo $5b2obo4bo3bo3bo15b3ob2obo$9b3obob2ob3o6bo8bo2bo5bo$11bo6bo7b3o7bo2bo b5o$35b2obo$12bo4bo17bo2bobo3b2o$2o12b2o19b2obobo4bo$bo2b2o29b2obobob 2o$bobo2bo28b2obobo2bo$2bob2obo27b2o3bobo$4bo2b4o24bo4bob2o$5bob5o23b 2obo2bo$4bo3b3o25bob2obo$3b3o30bo2bob2o$3b3o21b3o7b2o$27b3o$26bobo12b o$7b2o17b2o13bo$3b2obo2bo29bobo$4bob2obo25bo2b2obo$4bo2bob2o22b3o2b2o $2b2obo4bo24bo$3bobo3b2o28b2o2bo$2bo2bobob2o28bo2bobo$2b2obobob2o29b2o 2bo$o4bobob2o19b2o12b2o$2o3bobo2bo17bo4bo$7bob2o6b3o$5obo2bo17bo6bo$o 5bo2bo6bo3bo4b3ob2obob3o$bob2ob3o15bo3bo3bo4bob2o$2bob2o10bo2bo4bobob 2o2b3o2bobo$obo4b2o6bo2b2o5b2obo2bo3b3o2b3o$2ob4obo5bobobo2bo6b6o4bob o2bo$3bo2bo7bob3o3bo2b3o7bob2obo2bo$3bo2bo8bobobobo3bo2b2obo3bobo2b3o $4b2o10bo11bob2o3bo2b2o$13b3o17bobobo2bo$13bo18b2ob2o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 45 THUMBSIZE 2 ]]
(click above to open LifeViewer)

Similarly, squareroot12621 discovered that the bounding box of 255P132 can be reduced to 44-by-44 cells by using an alternate stabilization of the T-nosed p4, but again at the cost of increased population.[8]

29b2o$28bo2bobo2bo$23b2o4bobob4o$6bo2b2o12b2o5bobo$6b4o6bo9b3obobobo$ 11b2obobobo5bobob2o3b2o$8b2ob3o4bo5bob2o11b2o$b2o5bo9bo20bo$2bo6b3o3b 2o9bo9b2obo$2bob2o5bo13b3o7bobob2o$b2o2bo9bo19bobo2bo$3b2o7b3o19b2o3b o$b2o30bo2b2o$o2b2o22bo4b4obo$obo2bo20bobo4b3o$bob2obo21bo5b2o2b2o$3b o2b4o12b2o2bo$4bob5o11b3o11bo2bo$3bo3b3o13b2o12bo$2b3o32bo$2b3o21b3o$ 26b3o$25bobo12bo$25b2o13bo$6bo31bobo$6bo27bo2b2obo$4bo2bo24b3o2b2o$9b o24bo$4b2o3bo28b2o2bo$10b2o26bo2bobo$6bo3b3o26b2o2bo$10bo18b2o10b2o$4b 3ob2o29b2o$3bo2bobo7b3o12bo6bo2b2o$3b2obobo19b3obo5b2obo$4bob2o7bo3bo 7bo4b3o6bo$4bo20bo5bo3bo5b2o$3b2o10bo2bo6bo5b5o$9b2o3bo2b2o6bobobo2bo $9bobobobobo2bo6bo4bob4o$11bobob3o3bo11b2o2bo$7b4obobobobobo$7bo2bobo 2bo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 45 THUMBSIZE 2 ]]
(click above to open LifeViewer)

Notes

  1. xp4_pf0c4ozwb70h1gez015441
  2. p4 only works if the domino spark is delivered delivered alone, not in the manner that, say, 64P6 does.

See also

References

  1. Christopher D'Agostino (December 14, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Christopher D'Agostino (November 9, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  3. Christopher D'Agostino (November 9, 2021). Re: Thread for your periodic conduits that do not necessarily involve Herschels (discussion thread) at the ConwayLife.com forums
  4. Christopher D'Agostino (January 20, 2022). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums
  5. Christopher D'Agostino (January 20, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  6. Matthias Merzenich (November 12, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  7. Christopher D'Agostino (February 1, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. squareroot12621 (January 3, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums