204P41

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204P41
x = 73, y = 61, rule = B3/S23 34bo$32b3o$31bo$16b2o13b2o$17bo$17bobo$18b2o$28bo$27bo$29bo$27b3o4$40b o$5b2o24b2o5bobo$6bo24bo7b2o$4bo13b2o12b3o$2b4o15b2o11bo$bo14b2obo$o2b 3o10b2o3bob2o$b2o2bo10b2obo3b2o$3b2o16bob2o$3bo14b2o$4bo6b3o7b2o26bo$b 3o7bo38b2o$bo5b2o3bo11bo24b2o$8bo14bobo$5b3o15b2o$5bo2$67bo$48b2o15b3o $47bobo14bo$22b2o24bo11bo3b2o5bo$21b2o38bo7b3o$23bo26b2o7b3o6bo$53b2o 14bo$48b2obo16b2o$48b2o3bob2o10bo2b2o$48b2obo3b2o10b3o2bo$53bob2o14bo$ 38bo11b2o15b4o$38b3o12b2o13bo$32b2o7bo24bo$32bobo5b2o24b2o$32bo4$43b3o $43bo$45bo$44bo$53b2o$53bobo$55bo$40b2o13b2o$41bo$38b3o$38bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ WIDTH 650 HEIGHT 520 THUMBSIZE 2 ZOOM 8 GPS 12 ]]
Pattern type Oscillator
Number of cells 204
Bounding box 73 × 61
Period 41
Mod 41
Heat 115.1
Volatility 0.90
Strict volatility 0.90
Discovered by Nico Brown
Year of discovery 2023

204P41 is a period-41 oscillator found by Nico Brown on July 21, 2023, and is the first period-41 oscillator to be discovered.[1][2] Its discovery proved that Conway's Game of Life is omniperiodic.

It was originally found as 208P41, and the blinker eaters were quickly reduced by two cells each. It was the smallest known period-41 oscillator until the discovery of p41 pi-heptomino hassler.

Four copies of the dependent reflector loop can be used to stabilise the vex.[3]

Chris857 and Evin found a 106-glider synthesis of 208P41 the day of its discovery.[4][5] The synthesis was reduced to 104 gliders several hours later.[6][7]

References

  1. Nico Brown (July 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. Nico Brown (July 21, 2023). Message in #cgol on the Conwaylife Lounge Discord server
  3. EvinZL (July 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  4. Chris857 (July 21, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  5. shinjuku (#4715201417) (July 21, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  6. KtT (July 22, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. shinjuku (#4718779770) (July 22, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.

External links