204P41: Difference between revisions

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canonical synth
 
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|isorulemin  = B3/S23
|isorulemin  = B3/S23
|isorulemax  = B38/S234c8
|isorulemax  = B38/S234c8
|synthesis    = 118
|synthesis2  = 100
|synthesis2  = 100
|plaintext    = true
|plaintext    = true
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[[Chris857]] and [[Evin]] found a {{gliders|106}} [[glider synthesis|synthesis]] of 208P41 the day of its discovery.<ref name="post163997"/><ref name="j4715201417"/> The synthesis was reduced to {{gliders|104|text=104 gliders}} several hours later.<ref name="post164032" /><ref name="j4718779770" /> On September 21, {{year|2024}}, the cost was lowered to {{gliders|100|text=100 gliders}}.<ref name="post194560"/><ref name="j7883523106"/>
[[Chris857]] and [[Evin]] found a {{gliders|106}} [[glider synthesis|synthesis]] of 208P41 the day of its discovery.<ref name="post163997"/><ref name="j4715201417"/> The synthesis was reduced to {{gliders|104|text=104 gliders}} several hours later.<ref name="post164032" /><ref name="j4718779770" /> On September 21, {{year|2024}}, the cost was lowered to {{gliders|100|text=100 gliders}}.<ref name="post194560"/><ref name="j7883523106"/>
On June 24, {{year|2026}}, Chris857 found a {{gliders|118}} synthesis of 204P41.<ref name="post230189"/><ref name="j15004184939"/>


== References ==
== References ==
Line 38: Line 41:
<ref name="j4718779770">{{CiteCatagolueJob|job=4718779770|date=July 22, 2023}}</ref>
<ref name="j4718779770">{{CiteCatagolueJob|job=4718779770|date=July 22, 2023}}</ref>
<ref name="j7883523106">{{CiteCatagolueJob|job=7883523106|date=September 21, 2024}}</ref>
<ref name="j7883523106">{{CiteCatagolueJob|job=7883523106|date=September 21, 2024}}</ref>
<ref name="j15004184939">{{CiteCatagolueJob|job=15004184939|date=June 24, 2026}}</ref>
<ref name="message1132019230406086798">{{CiteDiscord
<ref name="message1132019230406086798">{{CiteDiscord
|author  = Nora Brown
|author  = Nora Brown
Line 78: Line 82:
|author = Chris857
|author = Chris857
|date  = September 21, 2024
|date  = September 21, 2024
}}</ref>
<ref name="post230189">{{LinkForumThread
|format = ref
|p      = 230189
|title  = Re: Synthesising Oscillators
|author = Chris857
|date  = June 24, 2026
}}</ref>
}}</ref>
</references>
</references>

Latest revision as of 05:05, 24 June 2026

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 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 204
Bounding box 73 × 61
Period 41 (mod: 41)
Heat 115.1
Volatility 0.90 | 0.90
Kinetic symmetry .c
Discovered by Nora Brown
Year of discovery 2023

204P41 is a period-41 oscillator found by Nora 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] On September 21, 2024, the cost was lowered to 100 gliders.[8][9]

On June 24, 2026, Chris857 found a 118-glider synthesis of 204P41.[10][11]

References

  1. ↑ Nora Brown (July 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ Nora 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.
  8. ↑ Chris857 (September 21, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  9. ↑ shinjuku (#7883523106) (September 21, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  10. ↑ Chris857 (June 24, 2026). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  11. ↑ shinjuku (#15004184939) (June 24, 2026). Job triggered by Adam P. Goucher at GitLab Catagolue project.
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