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Line 4: Line 4:
|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]]
|rulemax      = B3/S23
|isorulemin      = B3/S23
|isorulemax      = B3/S234c5e
|plaintext    = true
|plaintext    = true
|rle          = true
|rle          = true
|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="post154298"/>{{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 name="post65654"/>


As of February 2023, no period-41 [[oscillator]]s are known to exist on Conway's Game of Life. A vast number of attempts to create such an oscillator have 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.
 
== Stabilisation ==
Vex can be stabilised by four copies of [[204P41]]<ref name="post163981"/>:
 
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In March {{year|2024}} 'vilc' and [[Caleb R. Hilton]] produced a true-period p41 stabilization of the vex wick.<ref name="post180989" /> This was a demonstration of the newly discovered fast inserters for [[2c/3 wire]]s, not a structure that was really needed to stabilize vex; it contained many [[true]] [[period-41 glider gun]]s, and four of those can perfectly well support the vex wick directly, without the extra complexity:
 
{{EmbedViewer
|rle          = x = 93, y = 37, rule = B3/S23
bo89bo$2bo87bo$3o87b3o7$30bo31bo$29b3o29b3o$10bobo16b3o29b3o16bobo$11b
2o15b2ob2o27b2ob2o15b2o$11bo6b3o3bo2b3ob3o2bo3b3o7b3o3bo2b3ob3o2bo3b3o
6bo$17bo2bo2b2obob2ob2obob2o2bo2bo5bo2bo2b2obob2ob2obob2o2bo2bo$17bo7b
o9bo7bo5bo7bo9bo7bo$17b5o4b3o3b3o4b5o5b5o4b3o3b3o4b5o$20b2obo13bob2o
11b2obo13bob2o2$20b2obo13bob2o11b2obo13bob2o$17b5o4b3o3b3o4b5o5b5o4b3o
3b3o4b5o$17bo7bo9bo7bo5bo7bo9bo7bo$17bo2bo2b2obob2ob2obob2o2bo2bo5bo2b
o2b2obob2ob2obob2o2bo2bo$11bo6b3o3bo2b3ob3o2bo3b3o7b3o3bo2b3ob3o2bo3b
3o6bo$11b2o15b2ob2o27b2ob2o15b2o$10bobo16b3o29b3o16bobo$29b3o29b3o$30b
o31bo7$3o87b3o$2bo87bo$bo89bo!
|viewerconfig = #C [[ WIDTH 650 HEIGHT 400 THUMBSIZE 2 ZOOM 8 GPS 10 LOOP 41 ]]
|position    = center
|style        = width:300px;
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== Stabilisation attempts ==
== Stabilisation attempts ==
As of February 2023, the only successful stabilisations of this wick come from [[glider]] streams coming from pseudo-period guns, resulting in an oscillator with an overall period of 82.<ref>https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=104638#p104638</ref> Specialised rules allowing for non-vanilla Life behaviour such as StateInvestigator have permitted period-41 stabilisations.<ref name="SI">https://conwaylife.com/forums/viewtopic.php?p=86204#p86204</ref>
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.<ref name="post104638"/> Specialised rules allowing for non-vanilla Life behaviour such as StateInvestigator had permitted period-41 stabilisations.<ref name="post86204"/>


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.<ref name="Dec22"/><ref name="SI"/><ref>https://conwaylife.com/forums/viewtopic.php?p=110113#p110113</ref><ref>https://conwaylife.com/forums/viewtopic.php?p=106191#p106191</ref><ref>https://conwaylife.com/forums/viewtopic.php?p=67315#p67315</ref><ref>https://conwaylife.com/forums/viewtopic.php?p=110519#p110519</ref> More traditional attempts at stabilisation through the use of [[fishhook]]s do not rephase the wick correctly, leading to rapid deterioration.<ref>https://conwaylife.com/forums/viewtopic.php?p=85789#p85789</ref>
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.<ref name="post154298"/><ref name="post86204"/><ref name="post110113"/><ref name="post106191"/><ref name="post67315"/><ref name="post110519"/> More traditional attempts at stabilisation through the use of [[fishhook]]s do not rephase the wick correctly, leading to rapid deterioration.<ref name="post85789"/>


Connor Steppie has suggested that when a completion is found, the oscillator will be named Evoker. This is a reference to the game Minecraft.<ref name="message1093170380086186025" />
Connor Steppie has suggested that completions of this wick will be named Evoker. This is a reference to the game Minecraft.<ref name="message1093170380086186025" />


== Other interactions ==
== Other interactions ==
The vex is capable of pushing two [[beehive]]s.<ref>https://conwaylife.com/forums/viewtopic.php?p=84357#p84357</ref><ref>https://conwaylife.com/forums/viewtopic.php?f=2&t=576&p=107100#p107100</ref> Multiple phase offsets can be used as the beehives remain stable for a considerable length of time.
The vex is capable of pushing two [[beehive]]s.<ref name="post84357"/><ref name="post107100"/> Multiple phase offsets can be used as the beehives remain stable for a considerable length of time.


== See also ==
== See also ==
Line 32: Line 63:
== References ==
== References ==
<references>
<references>
<ref name="origin">https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65652</ref>
<ref name="post154298">{{LinkForumThread
|format = ref
|p      = 154298
|title  = Re: Oscillator Discussion Thread
|author = NimbleRogue
|date  = November 31, 2022
}}</ref>
<ref name="origin">{{LinkForumThread
|format = ref
|p      = 65652
|title  = Re: Thread for basic questions
|author = Aleph
|date  = November 14, 2018
}}</ref>
<ref name="post65654">{{LinkForumThread
|format = ref
|p      = 65654
|title  = Re: Thread for basic questions
|author = Adam P. Goucher
|date  = November 14, 2018
}}</ref>
<ref name="post67315">{{LinkForumThread
|format = ref
|p      = 67315
|title  = Re: Incomplete search patterns - try to complete
|author = Entity Valkyrie
|date  = January 6, 2019
}}</ref>
<ref name="post84357">{{LinkForumThread
|format = ref
|p      = 84357
|title  = Re: Oscillator Discussion Thread
|author = praosylen
|date  = October 20, 2019
}}</ref>
<ref name="post85789">{{LinkForumThread
|format = ref
|p      = 85789
|title  = Re: Oscillator Discussion Thread
|author = Connor Steppie
|date  = November 25, 2019
}}</ref>
<ref name="post86204">{{LinkForumThread
|format = ref
|p      = 86204
|title  = Re: Oscillator Discussion Thread
|author = Entity Valkyrie
|date  = December 12, 2019
}}</ref>
<ref name="post104638">{{LinkForumThread
|format = ref
|p      = 104638
|title  = Re: Thread for basic questions
|author = Dave Greene
|date  = September 22, 2020
}}</ref>
<ref name="post106191">{{LinkForumThread
|format = ref
|p      = 106191
|title  = Re: Oscillator Discussion Thread
|author = Aleph
|date  = October 9, 2020
}}</ref>
<ref name="post107100">{{LinkForumThread
|format = ref
|p      = 107100
|title  = Re: Thread for your unsure discoveries
|author = Louis-François Handfield
|date  = October 20, 2020
}}</ref>
<ref name="post110113">{{LinkForumThread
|format = ref
|p      = 110113
|title  = Re: Thread For Your Useless Discoveries
|author = Aleph
|date  = November 11, 2020
}}</ref>
<ref name="post110519">{{LinkForumThread
|format = ref
|p     = 110519
|title  = Re: Oscillator Discussion Thread
|author = Sphenocorona
|date  = November 13, 2020
}}</ref>
<ref name="message1093170380086186025">{{CiteDiscord
<ref name="message1093170380086186025">{{CiteDiscord
|author  = Connor Steppie
|author  = Connor Steppie
Line 38: Line 152:
|channel = tools
|channel = tools
|id      = 1093170380086186025
|id      = 1093170380086186025
}}</ref>
<ref name="post163981">{{LinkForumThread
|format = ref
|p      = 163981
|title  = Re: Oscillator Discussion Thread
|author = EvinZL
|date  = July 21, 2023
}}</ref>
<ref name="post180989">{{LinkForumThread
|format = ref
|p      = 180989
|title  = Re: Faster 2c/3 Wires
|author = Caleb R. Hilton
|date  = March 24, 2024
}}</ref>
}}</ref>
</references>
</references>
Line 43: Line 171:
[[Category:Oscillator partials]]
[[Category:Oscillator partials]]
{{Symmetry|orthogonal4}}
{{Symmetry|orthogonal4}}
__NOTOC__

Latest revision as of 12:48, 19 July 2026

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

In March 2024 'vilc' and Caleb R. Hilton produced a true-period p41 stabilization of the vex wick.[5] This was a demonstration of the newly discovered fast inserters for 2c/3 wires, not a structure that was really needed to stabilize vex; it contained many true period-41 glider guns, and four of those can perfectly well support the vex wick directly, without the extra complexity:

x = 93, y = 37, rule = B3/S23 bo89bo$2bo87bo$3o87b3o7$30bo31bo$29b3o29b3o$10bobo16b3o29b3o16bobo$11b 2o15b2ob2o27b2ob2o15b2o$11bo6b3o3bo2b3ob3o2bo3b3o7b3o3bo2b3ob3o2bo3b3o 6bo$17bo2bo2b2obob2ob2obob2o2bo2bo5bo2bo2b2obob2ob2obob2o2bo2bo$17bo7b o9bo7bo5bo7bo9bo7bo$17b5o4b3o3b3o4b5o5b5o4b3o3b3o4b5o$20b2obo13bob2o 11b2obo13bob2o2$20b2obo13bob2o11b2obo13bob2o$17b5o4b3o3b3o4b5o5b5o4b3o 3b3o4b5o$17bo7bo9bo7bo5bo7bo9bo7bo$17bo2bo2b2obob2ob2obob2o2bo2bo5bo2b o2b2obob2ob2obob2o2bo2bo$11bo6b3o3bo2b3ob3o2bo3b3o7b3o3bo2b3ob3o2bo3b 3o6bo$11b2o15b2ob2o27b2ob2o15b2o$10bobo16b3o29b3o16bobo$29b3o29b3o$30b o31bo7$3o87b3o$2bo87bo$bo89bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 650 HEIGHT 400 THUMBSIZE 2 ZOOM 8 GPS 10 LOOP 41 ]]
(click above to open LifeViewer)

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.[6] Specialised rules allowing for non-vanilla Life behaviour such as StateInvestigator had permitted period-41 stabilisations.[7]

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][7][8][9][10][11] More traditional attempts at stabilisation through the use of fishhooks do not rephase the wick correctly, leading to rapid deterioration.[12]

Connor Steppie has suggested that completions of this wick will be named Evoker. This is a reference to the game Minecraft.[13]

Other interactions

The vex is capable of pushing two beehives.[14][15] 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 NimbleRogue (November 31, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  2. ↑ Aleph (November 14, 2018). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  3. ↑ Adam P. Goucher (November 14, 2018). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  4. ↑ EvinZL (July 21, 2023). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  5. ↑ Caleb R. Hilton (March 24, 2024). Re: Faster 2c/3 Wires (discussion thread) at the ConwayLife.com forums
  6. ↑ Dave Greene (September 22, 2020). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  7. ↑ 7.0 7.1 Entity Valkyrie (December 12, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  8. ↑ Aleph (November 11, 2020). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
  9. ↑ Aleph (October 9, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  10. ↑ Entity Valkyrie (January 6, 2019). Re: Incomplete search patterns - try to complete (discussion thread) at the ConwayLife.com forums
  11. ↑ Sphenocorona (November 13, 2020). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  12. ↑ Connor Steppie (November 25, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  13. ↑ Connor Steppie (April 5, 2023). Message in #tools on the Conwaylife Lounge Discord server
  14. ↑ praosylen (October 20, 2019). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
  15. ↑ Louis-François Handfield (October 20, 2020). Re: Thread for your unsure discoveries (discussion thread) at the ConwayLife.com forums


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