Vex: Difference between revisions

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|p            = 41
|p            = 41
|discoverer  = Achim Flammenkamp
|discoverer  = Achim Flammenkamp
|discoveryear = 1994
|rulemin      = B3/S23
|rulemin      = B3/S23
|rulespecial  = [[Conway's Game of Life|Conway Life]]
|rulespecial  = [[Conway's Game of Life|Conway Life]]
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|viewerconfig = #C [[ AUTOSTART ZOOM 10 GPS 10 ]]
|viewerconfig = #C [[ AUTOSTART ZOOM 10 GPS 10 ]]
}}
}}
'''Vex'''<ref name="Dec22">https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=154298#p154298</ref>{{refn|group=note|contraction of "wick-that-vexes-absolutely-everyone": <ref name="origin"/>}} (or simply the '''p41 wick''') is a [[period]]-41 [[wick]] discovered by [[Achim Flammenkamp]].<ref>https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65654</ref>
'''Vex'''<ref name="Dec22">https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=154298#p154298</ref>{{refn|group=note|contraction of "wick-that-vexes-absolutely-everyone": <ref name="origin"/>}} (or simply the '''p41 wick''') is a [[period]]-41 [[wick]] discovered by [[Achim Flammenkamp]] on August 9, {{year|1994}}.<ref>https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65654</ref>


Before July 2023, there were no known period-41 oscillators. A vast number of attempts to create such an oscillator involved attempted stabilisations of this wick, with no resounding success.
Before July 2023, there were no known period-41 oscillators. A vast number of attempts to create such an oscillator involved attempted stabilisations of this wick, with no resounding success.

Revision as of 05:48, 2 August 2023

Vex
x = 13, y = 21, rule = B3/S23:T32,100 6bo$6bo$6bo5$2bo7bo$2ob2o3b2ob2o$2bo7bo2$2bo7bo$2ob2o3b2ob2o$2bo7bo5$ 6bo$6bo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 10 GPS 10 ]]
View static image
Pattern type Wick
Period 41
Speed Unknown
Discovered by Achim Flammenkamp
Year of discovery 1994

Vex[1][note 1] (or simply the p41 wick) is a period-41 wick discovered by Achim Flammenkamp on August 9, 1994.[3]

Before July 2023, there were no known period-41 oscillators. A vast number of attempts to create such an oscillator involved attempted stabilisations of this wick, with no resounding success.

Stabilisation

Vex can be stabilised by four copies of 204P41[4]:

x = 145, y = 135, rule = B3/S23 40bo63bo$34b2o3bobo61bobo3b2o$35bo3bo2bo59bo2bo3bo$35bob2obobo59bobob 2obo$36bobobob2o57b2obobobo$31b2o4b2obobo2bo53bo2bobob2o4b2o$32bo5bob 2o2b2o53b2o2b2obo5bo$32bobo3b3o63b3o3bobo$33b2o3b2o65b2o3b2o5$33b3o73b 3o$35bo73bo$34bo75bo$57bo29bo$55b3o29b3o$40bo13bo35bo13bo$39b3o12b2o33b 2o12b3o$38bo2bo61bo2bo$38b3o9bo43bo9b3o$39bo8b3o43b3o8bo$23b2o7b2o13b 3o6bo31bo6b3o13b2o7b2o$24b2o6bobo18b3ob2o27b2ob3o18bobo6b2o$23bo9bo13b 2o2b2obo2bo29bo2bob2o2b2o13bo9bo$47b2o6b2o31b2o6b2o$47b2o2bo2bo35bo2b o2b2o$48b2o3bo37bo3b2o$49b3o41b3o$49b3o41b3o$44b2o11b2o27b2o11b2o$43b obo11bobo25bobo11bobo$13b2o28bo15bo25bo15bo28b2o$12bobo27b2o15b2o23b2o 15b2o27bobo$14bo115bo2$46bo51bo$2o15b2o27bobo47bobo27b2o15b2o$bo15bo28b 2o49b2o28bo15bo$bobo11bobo109bobo11bobo$2b2o11b2o111b2o11b2o$9b3o121b 3o$9b3o121b3o$7bo3b2o119b2o3bo$6bo2bo2b2o117b2o2bo2bo$4b2o6b2o117b2o6b 2o$3bo2bob2o2b2o13bo9bo69bo9bo13b2o2b2obo2bo$2b2ob3o18bobo6b2o71b2o6b obo18b3ob2o$4bo6b3o13b2o7b2o69b2o7b2o13b3o6bo$10b3o8bo101bo8b3o$10bo9b 3o99b3o9bo$19bo2bo99bo2bo$5b2o12b3o101b3o12b2o$6bo13bo103bo13bo$3b3o133b 3o$3bo137bo$26bo13bo31bo31bo13bo$25bo14bo31bo31bo14bo$25b3o12bo31bo31b o12b3o4$36bo7bo23bo7bo23bo7bo$35bobo5bobo21bobo5bobo21bobo5bobo$34bo3b o3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo$35bobo5bobo21bobo5bobo21bobo5bobo2$ 35bobo5bobo21bobo5bobo21bobo5bobo$34bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3b o3bo$35bobo5bobo21bobo5bobo21bobo5bobo$36bo7bo23bo7bo23bo7bo4$25b3o12b o31bo31bo12b3o$25bo14bo31bo31bo14bo$26bo13bo31bo31bo13bo$3bo137bo$3b3o 133b3o$6bo13bo103bo13bo$5b2o12b3o101b3o12b2o$19bo2bo99bo2bo$10bo9b3o99b 3o9bo$10b3o8bo101bo8b3o$4bo6b3o13b2o7b2o69b2o7b2o13b3o6bo$2b2ob3o18bo bo6b2o71b2o6bobo18b3ob2o$3bo2bob2o2b2o13bo9bo69bo9bo13b2o2b2obo2bo$4b 2o6b2o117b2o6b2o$6bo2bo2b2o117b2o2bo2bo$7bo3b2o119b2o3bo$9b3o121b3o$9b 3o121b3o$2b2o11b2o111b2o11b2o$bobo11bobo109bobo11bobo$bo15bo28b2o49b2o 28bo15bo$2o15b2o27bobo47bobo27b2o15b2o$46bo51bo2$14bo115bo$12bobo27b2o 15b2o23b2o15b2o27bobo$13b2o28bo15bo25bo15bo28b2o$43bobo11bobo25bobo11b obo$44b2o11b2o27b2o11b2o$49b3o41b3o$49b3o41b3o$48b2o3bo37bo3b2o$47b2o 2bo2bo35bo2bo2b2o$47b2o6b2o31b2o6b2o$23bo9bo13b2o2b2obo2bo29bo2bob2o2b 2o13bo9bo$24b2o6bobo18b3ob2o27b2ob3o18bobo6b2o$23b2o7b2o13b3o6bo31bo6b 3o13b2o7b2o$39bo8b3o43b3o8bo$38b3o9bo43bo9b3o$38bo2bo61bo2bo$39b3o12b 2o33b2o12b3o$40bo13bo35bo13bo$55b3o29b3o$57bo29bo$34bo75bo$35bo73bo$33b 3o73b3o5$33b2o3b2o65b2o3b2o$32bobo3b3o63b3o3bobo$32bo5bob2o2b2o53b2o2b 2obo5bo$31b2o4b2obobo2bo53bo2bobob2o4b2o$36bobobob2o57b2obobobo$35bob 2obobo59bobob2obo$35bo3bo2bo59bo2bo3bo$34b2o3bobo61bobo3b2o$40bo63bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 650 HEIGHT 600 THUMBSIZE 2 ZOOM 4 GPS 10 AUTOSTART ]]
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Stabilisation attempts

Before the discovery of 204P41, the only successful stabilisations of this wick came from glider streams coming from pseudo-period guns, resulting in an oscillator with an overall period of 82.[5] Specialised rules allowing for non-vanilla Life behaviour such as StateInvestigator had permitted period-41 stabilisations.[6]

Many, many stabilisation attempts exist where the catalyst or would-be fencepost which is used ends up only being a single cell off from its previous initial state, in such a way that it cannot function the second time round.[1][6][7][8][9][10] More traditional attempts at stabilisation through the use of fishhooks do not rephase the wick correctly, leading to rapid deterioration.[11]

Connor Steppie has suggested that when a completion is found, the oscillator will be named Evoker. This is a reference to the game Minecraft.[12]

Other interactions

The vex is capable of pushing two beehives.[13][14] Multiple phase offsets can be used as the beehives remain stable for a considerable length of time.

See also

Notes

  1. ↑ contraction of "wick-that-vexes-absolutely-everyone": [2]

References

  1. ↑ 1.0 1.1 https://conwaylife.com/forums/viewtopic.php?f=2&t=1437&p=154298#p154298
  2. ↑ https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65652
  3. ↑ https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65654
  4. ↑ EvinZL (July 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. ↑ https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=104638#p104638
  6. ↑ 6.0 6.1 https://conwaylife.com/forums/viewtopic.php?p=86204#p86204
  7. ↑ https://conwaylife.com/forums/viewtopic.php?p=110113#p110113
  8. ↑ https://conwaylife.com/forums/viewtopic.php?p=106191#p106191
  9. ↑ https://conwaylife.com/forums/viewtopic.php?p=67315#p67315
  10. ↑ https://conwaylife.com/forums/viewtopic.php?p=110519#p110519
  11. ↑ https://conwaylife.com/forums/viewtopic.php?p=85789#p85789
  12. ↑ Connor Steppie (April 5, 2023). Message in #tools on the Conwaylife Lounge Discord server
  13. ↑ https://conwaylife.com/forums/viewtopic.php?p=84357#p84357
  14. ↑ https://conwaylife.com/forums/viewtopic.php?f=2&t=576&p=107100#p107100
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