Vex: Difference between revisions

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'''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]].<ref>https://conwaylife.com/forums/viewtopic.php?f=7&t=2036&p=65652#p65654</ref>


As of July 2023, only one period-41 [[oscillator]], [[204P41]], is known to exist in 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 was no known period-41 oscillator. A vast number of attempts to create such an oscillator have involved attempted stabilisations of this wick, with no resounding success.
 
== Stabilisation ==
Vex can be stabilised by four copies of [[208P41]]:
 
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== Stabilisation attempts ==
== Stabilisation attempts ==
As of July 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 [[208P41]], 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>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 had permitted period-41 stabilisations.<ref name="SI">https://conwaylife.com/forums/viewtopic.php?p=86204#p86204</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="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="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>

Revision as of 20:20, 21 July 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 ]]
Pattern type Wick
Period 41
Speed Unknown
Discovered by Achim Flammenkamp
Year of discovery Unknown

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

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

Stabilisation

Vex can be stabilised by four copies of 208P41:

x = 145, y = 135, rule = B3/S23 40bo63bo$34b2o3bobo61bobo3b2o$35bo3bo2bo59bo2bo3bo$35bob2obobo59bobob 2obo$36bobobob2o57b2obobobo$31b2o6b2obo2bo53bo2bob2o6b2o$32bo11b2o53b 2o11bo$32bobo75bobo$33b2o75b2o4$34b3o71b3o$36bo71bo$35bo73bo2$57bo29bo $39b3o13b3o29b3o13b3o$38bo3bo11bo35bo11bo3bo$38b2ob2o11b2o33b2o11b2ob 2o$37bo4bo59bo4bo$37b2ob2o61b2ob2o$24b2o11bo3bo14b2o29b2o14bo3bo11b2o$ 25b2o5b2o4b3o63b3o4b2o5b2o$24bo7bobo23bo27bo23bobo7bo$33bo12b2o49b2o 12bo$58bo27bo$50bo5b2o29b2o5bo$51b3o37b3o$51bo41bo$52bo39bo$44b2o11b2o 27b2o11b2o$14b2o27bobo11bobo25bobo11bobo27b2o$13bobo27bo15bo25bo15bo 27bobo$15bo26b2o15b2o23b2o15b2o26bo4$2o15b2o26bo53bo26b2o15b2o$bo15bo 27bobo49bobo27bo15bo$bobo11bobo27b2o51b2o27bobo11bobo$2b2o11b2o111b2o 11b2o$8bo127bo$9bo125bo$7b3o125b3o$3b2o5bo123bo5b2o$2bo139bo$13b2o12bo 89bo12b2o$2bo23bobo7bo71bo7bobo23bo$20b3o4b2o5b2o73b2o5b2o4b3o$3b2o14b o3bo11b2o71b2o11bo3bo14b2o$19b2ob2o97b2ob2o$18bo4bo97bo4bo$5b2o11b2ob 2o99b2ob2o11b2o$6bo11bo3bo99bo3bo11bo$3b3o13b3o101b3o13b3o$3bo137bo$ 40bo31bo31bo$25bo14bo31bo31bo14bo$24bo15bo31bo31bo15bo$24b3o91b3o2$35b 3o5b3o21b3o5b3o21b3o5b3o$35b3o5b3o21b3o5b3o21b3o5b3o$34bo3bo3bo3bo19bo 3bo3bo3bo19bo3bo3bo3bo$34b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o4$ 34b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o$34bo3bo3bo3bo19bo3bo3bo 3bo19bo3bo3bo3bo$35b3o5b3o21b3o5b3o21b3o5b3o$35b3o5b3o21b3o5b3o21b3o5b 3o2$24b3o91b3o$24bo15bo31bo31bo15bo$25bo14bo31bo31bo14bo$40bo31bo31bo$ 3bo137bo$3b3o13b3o101b3o13b3o$6bo11bo3bo99bo3bo11bo$5b2o11b2ob2o99b2ob 2o11b2o$18bo4bo97bo4bo$19b2ob2o97b2ob2o$3b2o14bo3bo11b2o71b2o11bo3bo 14b2o$20b3o4b2o5b2o73b2o5b2o4b3o$2bo23bobo7bo71bo7bobo23bo$13b2o12bo 89bo12b2o$2bo139bo$3b2o5bo123bo5b2o$7b3o125b3o$9bo125bo$8bo127bo$2b2o 11b2o111b2o11b2o$bobo11bobo27b2o51b2o27bobo11bobo$bo15bo27bobo49bobo 27bo15bo$2o15b2o26bo53bo26b2o15b2o4$15bo26b2o15b2o23b2o15b2o26bo$13bob o27bo15bo25bo15bo27bobo$14b2o27bobo11bobo25bobo11bobo27b2o$44b2o11b2o 27b2o11b2o$52bo39bo$51bo41bo$51b3o37b3o$50bo5b2o29b2o5bo$58bo27bo$33bo 12b2o49b2o12bo$24bo7bobo23bo27bo23bobo7bo$25b2o5b2o4b3o63b3o4b2o5b2o$ 24b2o11bo3bo14b2o29b2o14bo3bo11b2o$37b2ob2o61b2ob2o$37bo4bo59bo4bo$38b 2ob2o11b2o33b2o11b2ob2o$38bo3bo11bo35bo11bo3bo$39b3o13b3o29b3o13b3o$ 57bo29bo2$35bo73bo$36bo71bo$34b3o71b3o4$33b2o75b2o$32bobo75bobo$32bo 11b2o53b2o11bo$31b2o6b2obo2bo53bo2bob2o6b2o$36bobobob2o57b2obobobo$35b ob2obobo59bobob2obo$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)
Catagolue: here

Stabilisation attempts

Before the discovery of 208P41, 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.[4] Specialised rules allowing for non-vanilla Life behaviour such as StateInvestigator had permitted period-41 stabilisations.[5]

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][5][6][7][8][9] More traditional attempts at stabilisation through the use of fishhooks do not rephase the wick correctly, leading to rapid deterioration.[10]

Connor Steppie has suggested that when a completion is found, the oscillator will be named Evoker. This is a reference to the game Minecraft.[11]

Other interactions

The vex is capable of pushing two beehives.[12][13] 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