The Last Three Periods

[muzik]

Mod edit: the last three periods have been achieved, proving that Life is omniperiodic! See cribbage (p19), 74P34 (p34), and 204P41 (p41). Please direct further discussion to the oscillator discussion thread.

Following the recent discovery of a p38, we've been able to tick off one more of the fabled undiscovered periods off the list. As of this post, we're left with discovering a finite p19, a finite p41 and a non-trivial example for p34.

This thread is intended to compile all currently known technology which could be used for the construction of oscillators of these periods, alongside technology which these periods could support, as well as further the discussion of these three periods in specific as to keep this information from being buried in the main oscillator thread.

----

p19 wicks (jslife, w00019.lif):

Code: Select all

x = 155, y = 66, rule = B3/S23
2o5b2obo137b2obob2o$bo5bob2o19bobo67b2o5b2obo13b2o5b2obo13b2obob2o$o4b
2o4b2o17bobo48bo19bo5bob2o8b2o4bo5bob2o16bo$2o3bo5bo18b3o47b3o17bo4b2o
4b2o7bo3bo4b2o4b2o13b2o$6bo5bo24bo42bob2o16b2o3bo5bo7bo4b2o3bo5bo15bob
2o$2o3b2o4b2o13bo9bobo43b2o22bo5bo6b2o9bo5bo11b2obob2o$bo5b2obo14bobo
9bo62b2o3b2o4b2o4b2o5b2o3b2o4b2o14bo$o6bob2o15bo49b2o23bo5b2obo7bo6bo
5b2obo13b2obo$2o9b2o18b3o42b2obo20bo6bob2o6bo6bo6bob2o14bobob2o$11bo
19bobo43b3o20b2o9b2o4b2o5b2o9b2o14bob2o$2o10bo18bobo44bo32bo3b2o18bo
15bo$bo9b2o87b2o10bo3bo7b2o10bo14bo$o6b2obo17bobo45bo24bo9b2o2bo9bo9b
2o11b2obob2o$2o5bob2o17bobo44b3o22bo6b2obo4b2o7bo6b2obo13b2obob2o$28b
3o44bob2o21b2o5bob2o13b2o5bob2o14bobo$35bo41b2o71b2o$24bo9bobo112bobob
2o$23bobo9bo35b2o78bob2o$24bo46b2obo76bo$29b3o40b3o73b2obo$29bobo41bo
74b2obob2o$29bobo119bob2o$71bo78b2o$26bobo41b3o78bo$26bobo41bob2o74b2o
bob2o$26b3o43b2o77bob2o$33bo114b2obo$22bo9bobo31b2o81bobo$21bobo9bo32b
2obo81bob2o$22bo44b3o81bob2o$27b3o38bo82bo$27bobo118b2obo$27bobo36bo
81b2obob2o$65b3o81bobob2o$24bobo38bob2o81b2o$24bobo40b2o80bobo$24b3o
124bob2o$31bo29b2o88bob2o$20bo9bobo28b2obo83b2obo$19bobo9bo30b3o83b2ob
o$20bo42bo87bob2o$25b3o122b2ob2o$25bobo33bo89bo$25bobo32b3o85b2obo$60b
ob2o87bob2o$22bobo37b2o84b2obob2o$22bobo124bobo$22b3o31b2o93bo$29bo26b
2obo91bob2o$18bo9bobo26b3o91bob2o$17bobo9bo28bo89b2obo$18bo129b2obo$
23b3o30bo92bobob2o$23bobo29b3o92b2ob2o$23bobo29bob2o90bobo$57b2o92bo$
20bobo128bob2o$20bobo28b2o95b2obob2o$20b3o28b2obo93b2obo$27bo24b3o96bo
$16bo9bobo24bo96b2ob2o$15bobo9bo123bob2o$16bo131b2obo$21b3o127bo$21bob
o124b2obob2o$21bobo125bobob2o!

p19 3c wick (Jackk, 2012-05-23, rediscovered 2021-10-11 by Tropylium):

Code: Select all

x = 55, y = 8, rule = B3/S23:T57,0
30bo2b2o$2o18bo2b2obo6b6obobobo9bo$6o3bo2b2o2bobo4b4ob2o4bo4bobo2bob3o
b2obo$2o4b3o2bo3b2obo2b2o6b4o2bo3b3o2bo5b2obo$2o4b3o2bo3b2obo2b2o6b4o
2bo3b3o2bo5b2obo$6o3bo2b2o2bobo4b4ob2o4bo4bobo2bob3ob2obo$2o18bo2b2obo
6b6obobobo9bo$30bo2b2o!

Vexing p41 wick:
Can be stabilised by glider streams: https://www.conwaylife.com/forums/viewt ... 38#p104638

Has very, very many near-miss p1 stabilisations, may post these here later

Can shift beehives (Jormungant, 2020-10-20):

Code: Select all

x = 35, y = 322, rule = LifeHistory
8$10.2A13.2A$9.A2.A11.A2.A$10.2A2.3A3.3A2.2A$14.ABA3.ABA$14.3BA.A3B$
12.2ABABA.ABAB2A$11.A3BABA.ABA3BA$12.3B.BA.AB.3B$12.B2A2BA.A2B2AB$13.
AB.BA.AB.BA$13.4BA.A4B$12.5B3.5B$12.4B2A.2A4B$12.3A.2B.2B.3A$12.2BA3B
.3BA2B$11.7B.7B$9.7B5.7B$8.3AB13.B3A$9.7B5.7B$11.7B.7B$12.2BA3B.3BA2B
$12.3A.2B.2B.3A$12.4B2A.2A4B$12.5B3.5B$13.4BA.A4B$13.AB.BA.AB.BA$12.B
2A2BA.A2B2AB$12.3B.BA.AB.3B$11.A3BABA.ABA3BA$12.2ABABA.ABAB2A$14.3BA.
A3B$12.B.ABA3.ABA.B$10.2A2B3A3.3A2B2A$9.A2BA3B5.3BA2BA$9.B2A6B.6B2AB$
10.6B2A.2A6B$12.B.4B.4B.B$13.5B.5B$12.6B.6B$11.7B.7B$12.6B.6B$12.6B.
6B$13.5B.5B$13.5B.5B$12.4BAB.BA4B$12.4BAB.BA4B$12.3BABA.ABA3B$12.4BAB
.BA4B$11.5BAB.BA5B$9.7B5.7B$8.3AB13.B3A$9.7B5.7B$11.5BAB.BA5B$12.4BAB
.BA4B$12.3BABA.ABA3B$12.4BAB.BA4B$12.4BAB.BA4B$13.5B.5B$13.5B.5B$12.
6B.6B$12.6B.6B$11.7B.7B$12.6B.6B$13.5B.5B$12.B.4B.4B.B$10.6B2A.2A6B$
9.B2A6B.6B2AB$9.A2BA5B.5BA2BA$10.2A6B.6B2A$12.B.4B.4B.B$13.5B.5B$12.
6B.6B$11.4BA2B.2BA4B$12.2B3AB.B3A2B$12.B2A2BA.A2B2AB$13.5B.5B$12.A3B
2A.2A3BA$11.BA5B.5BAB$9.BA2BA4B.4BA2BAB$9.3B2ABA2B.2BAB2A3B$10.3BA2BA
B.BA2BA3B$9.3BA3BAB.BA3BA3B$9.4B3A2B.2B3A4B$8.3BA13.A3B$9.4B3A2B.2B3A
4B$9.3BA3BAB.BA3BA3B$10.3BA2BAB.BA2BA3B$9.3B2ABA2B.2BAB2A3B$9.BA2BA4B
.4BA2BAB$11.BA5B.5BAB$12.A3B2A.2A3BA$13.5B.5B$12.B2A2BA.A2B2AB$12.2B
3AB.B3A2B$11.4BA2B.2BA4B$12.6B.6B$13.5B.5B$12.B.4B.4B.B$10.BA6B.6BAB$
9.B2A6B.6B2AB$9.BA7B.7BAB$10.5BABA.ABA5B$12.B.BA2B.2BAB.B$13.BA3B.3BA
B$12.6B.6B$11.3BA2BA.A2BA3B$12.2B3AB.B3A2B$12.6B.6B$13.5B.5B$12.6B.6B
$11.2B2A3B.3B2A2B$9.3BABA3B.3BABA3B$9.7BAB.BA7B$10.5B2AB.B2A5B$9.6BA
2B.2BA6B$9.A8B.8BA$8.BA3B11.3BAB$9.A8B.8BA$9.6BA2B.2BA6B$10.5B2AB.B2A
5B$9.7BAB.BA7B$9.3BABA3B.3BABA3B$11.2B2A3B.3B2A2B$12.6B.6B$13.5B.5B$
12.6B.6B$12.2B3AB.B3A2B$11.3BA2BA.A2BA3B$12.6B.6B$13.BA3B.3BAB$12.B.B
A2B.2BAB.B$10.5BABA.ABA5B$9.BA7B.7BAB$9.B2A6B.6B2AB$10.BA6B.6BAB$12.B
.4B.4B.B$13.5B.5B$12.6B.6B$11.7B.7B$12.6B.6B$12.6B.6B$13.5B.5B$12.6B.
6B$11.3B3AB.B3A3B$9.4BA2BAB.BA2BA4B$9.3BA5B.5BA3B$10.3BA2BAB.BA2BA3B$
9.5B3AB.B3A5B$9.A8B.8BA$8.BA3B11.3BAB$9.A8B.8BA$9.5B3AB.B3A5B$10.3BA
2BAB.BA2BA3B$9.3BA5B.5BA3B$9.4BA2BAB.BA2BA4B$11.3B3AB.B3A3B$12.6B.6B$
13.5B.5B$12.6B.6B$12.6B.6B$11.7B.7B$12.6B.6B$13.5B.5B$12.B.4B.4B.B$
10.BA6B.6BAB$9.B2A6B.6B2AB$9.BA7B.7BAB$10.5BABA.ABA5B$12.B.BA2B.2BAB.
B$13.BA3B.3BAB$12.6B.6B$11.3BA2BA.A2BA3B$12.2B3AB.B3A2B$12.6B.6B$13.
5B.5B$12.6B.6B$11.2B2A3B.3B2A2B$9.3BABA3B.3BABA3B$9.7BAB.BA7B$10.5B2A
B.B2A5B$9.6BA2B.2BA6B$9.A8B.8BA$8.BA3B11.3BAB$9.A8B.8BA$9.6BA2B.2BA6B
$10.5B2AB.B2A5B$9.7BAB.BA7B$9.3BABA3B.3BABA3B$11.2B2A3B.3B2A2B$12.6B.
6B$13.5B.5B$12.6B.6B$12.2B3AB.B3A2B$11.3BA2BA.A2BA3B$12.6B.6B$13.BA3B
.3BAB$12.B.BA2B.2BAB.B$10.5BABA.ABA5B$9.BA7B.7BAB$9.B2A6B.6B2AB$10.BA
6B.6BAB$12.B.4B.4B.B$13.5B.5B$12.6B.6B$11.4BA2B.2BA4B$12.2B3AB.B3A2B$
12.B2A2BA.A2B2AB$13.5B.5B$12.A3B2A.2A3BA$11.BA5B.5BAB$9.BA2BA4B.4BA2B
AB$9.3B2ABA2B.2BAB2A3B$10.3BA2BAB.BA2BA3B$9.3BA3BAB.BA3BA3B$9.4B3A2B.
2B3A4B$8.3BA13.A3B$9.4B3A2B.2B3A4B$9.3BA3BAB.BA3BA3B$10.3BA2BAB.BA2BA
3B$9.3B2ABA2B.2BAB2A3B$9.BA2BA4B.4BA2BAB$11.BA5B.5BAB$12.A3B2A.2A3BA$
13.5B.5B$12.B2A2BA.A2B2AB$12.2B3AB.B3A2B$11.4BA2B.2BA4B$12.6B.6B$13.
5B.5B$12.B.4B.4B.B$10.2A6B.6B2A$9.A2BA5B.5BA2BA$9.B2A6B.6B2AB$10.6B2A
.2A6B$12.B.4B.4B.B$13.5B.5B$12.6B.6B$11.7B.7B$12.6B.6B$12.6B.6B$13.5B
.5B$13.5B.5B$12.4BAB.BA4B$12.4BAB.BA4B$12.3BABA.ABA3B$12.4BAB.BA4B$
11.5BAB.BA5B$9.7B5.7B$8.3AB13.B3A$9.7B5.7B$11.5BAB.BA5B$12.4BAB.BA4B$
12.3BABA.ABA3B$12.4BAB.BA4B$12.4BAB.BA4B$13.5B.5B$13.5B.5B$12.6B.6B$
12.6B.6B$11.7B.7B$12.6B.6B$13.5B.5B$12.B.4B.4B.B$10.6B2A.2A6B$9.B2A6B
.6B2AB$9.A2BA3B5.3BA2BA$10.2A2B3A3.3A2B2A$12.B.ABA3.ABA.B$14.3BA.A3B$
12.2ABABA.ABAB2A$11.A3BABA.ABA3BA$12.3B.BA.AB.3B$12.B2A2BA.A2B2AB$13.
AB.BA.AB.BA$13.4BA.A4B$12.5B3.5B$12.4B2A.2A4B$12.3A.2B.2B.3A$12.2BA3B
.3BA2B$11.7B.7B$9.7B5.7B$8.3AB13.B3A$9.7B5.7B$11.7B.7B$12.2BA3B.3BA2B
$12.3A.2B.2B.3A$12.4B2A.2A4B$12.5B3.5B$13.4BA.A4B$13.AB.BA.AB.BA$12.B
2A2BA.A2B2AB$12.3B.BA.AB.3B$11.A3BABA.ABA3BA$12.2ABABA.ABAB2A$14.3BA.
A3B$14.ABA3.ABA$10.2A2.3A3.3A2.2A$9.A2.A11.A2.A$10.2A13.2A!

[hotdogPi]

Here are my p17, 19, 34, and 41 partials, with the two-spark ones that are expected to be completed after one is found excluded.

Code: Select all

x = 302, y = 206, rule = B3/S23
96bo$44bo51b3o$44b3o52bo$4b2o2bob2o8bo26bo50b2o$5bo2b2obo8b3o23b2o23b
2o$4bo7b2o9bo46bobo28bo$4b2o7bo8bo27b3o18bo28bobo$12bo9bo3bo22b5o17b2o
26bo3bobo$4b2o6b2o13bo21bo2bo17b3o4bo22bobo2bo$5bo4b2o10bo5bo20b3o18bo
2bobo2b2o21bo$4bo6bo9bo3bo5b3o3bo9bo2bob2o23b2obo$4b2o4bo10bo2bobo3bo
3bo2bo9bo3b2obob2o10bo4bo4bobobo$10b2o9bo3bo9bo15b2obob2o3bo6bobobo4bo
4bo18bo$4b2o2b2o12bo9bo3bo18b2obo2bo8bob2o23bo2bobo$5bo3bo10bo2bo3bo3b
obo2bo20b3o11b2o2bobo2bo16bobo3bo$4bo3bo11bo3b3o5bo3bo19bo2bo13bo4b3o
19bobo$4b2o2b2o19bo5bo19b5o18b2o21bo$30bo25b3o20bo$31bo3bo42bobo22b2o$
35bo25b2o15b2o23bo$34bo26bo42b3o$35b3o24b3o41bo$37bo26bo17$29bo17bo$
29b3o13b3o$32bo11bo$31bo13bo$31bo3bo5bo3bo$36bo3bo$31bo5bobo5bo19b2o$
28bobo3bo7bo3bobo16b2o$2b2o4b2obo18bo2bobo5bobo2bo$3bo4bob2o18bo3bo7bo
3bo$2bo3b2o4b2o17bo5bobo5bo18bo$2b2o2bo5bo19bo3bo3bo3bo20b2obo$7bo5bo
19b3o5b3o19bobo2bo$2b2o2b2o4b2o46bo3bo$3bo4b2obo44bo2bobo$2bo5bob2o44b
ob2o$2b2o8b2o46bo$12bo20b3o5b3o$2b2o9bo18bo3bo3bo3bo$3bo8b2o17bo5bobo
5bo12b2o$2bo5b2obo18bo3bo7bo3bo11b2o$2b2o4bob2o18bo2bobo5bobo2bo$28bob
o3bo7bo3bobo$31bo5bobo5bo$36bo3bo$31bo3bo5bo3bo$31bo13bo$32bo11bo$29b
3o13b3o$29bo17bo17$290b2o$290bo$291bo$236b3o47b2o2b2o$234b7o41b2o2bobo
$236b3o49bob4o$281bo5b2obo2bo$280bobo$190b2o15bo29b3o28b2o9bo$28b2o79b
2o78bobo2b2o9b3o60bo10b3o$2obo4b2o3b2o13bob2o56bo21bo33b2o42bo2bobobo
8bo31bobobo22bob2obo10bob3o$ob2o4b2o3b2o10bo5bo54b3o21bobo32bo42b4obo
10b2o30b2ob2o22b2obob2o10bob2ob2obo$4b2o21bo57bo25bobo31bobo43bob2o35b
o3b2o5b2o38b2obo3bo$4bo3b2o3b2o12bo3b2o13bo12bo25b2o25bo3b2o28bobo18b
3o18b2obo40bo2bo2bo2bo2bo22b3o4b3o9b3o$5bo2bobobobo14b3obo12b3o8b3o56b
2o29bo3b2o13bo3bo15bo2bobo10b2o28bobo2bobo2bobo21bo2bo6bo6b2o$4b2o4bob
o16b5o15bo6bo24bo22b2o34b2o9b2o12bo5bo14b2o2bo4b2o5b2o28bo2bo2bo2bo2bo
5bo15b2o6bobo$2obo5b2obo18b2o15b2o6b2o21b2obo26b3o33bo18bo3bo3bo21bo2b
o2b2o5b2obo23b2o5b2o5b3o23bo16b3o$ob2o9b2o15b2o50bob2o3bo15b4o4bo27b5o
18bo2bobo2bo13b2o2bo4b2o3b2o4bobo27b2ob2o6bo27bobo12bobobo$4b2o8bo15b
2o47bo4b3o2bo13bo9bo27b5obo14bobo2bo2bobo13bo2bobo15b2o27bobobo6b2o18b
o5b2o2bo11bob2o2bo$4bo8bo15b2o19b3o24bo2b3o4bo15bo9bo25bob2o4b3o15b2o
21b2obo13bobo8b2o19b3o27bo2bo2b3o13b3o2bo2bo$5bo7b2o13b5o17bobo24bo3b
2obo18bo4b4o25b3o4b2obo43bob2o9bo2bo4b2o2bobo50bo2b2obo11bo2b2o5bo$4b
2o8bo13bob3o17b3o31bob2o17b3o31bob5o42b4obo11b2o5bobobo2bo19b3o28bobob
o12bobo$2obo9bo15b2o3bo50bo25b2o28b5o25b2o15bo2bobobo5b2o11bob4o10b2o
6bobobo28b3o16bo$ob2o9b2o19bo14b2o48b2o40bo23bobo2bo2bobo13bobo2b2o4bo
2bo9b2obo14bo6b2ob2o45bobo6b2o$30bo5bo43b2o17b2o3bo29b2o9b2o18bo2bobo
2bo16b2o8bobo13bob2o8b3o5b2o5b2o35b2o6bo6bo2bo$30b2obo47bo21bobo28b2o
3bo25bo3bo3bo25b2o15bobo2bo6bo5bo2bo2bo2bo2bo29b3o9b3o4b3o$32b2o44b3o
23bobo31bobo25bo5bo26bobo4b2o3b2o4bo2b2o12bobo2bobo2bobo29bo3bob2o$78b
o27bo32bobo25bo3bo25bob2o5b2o2bo2bo20bo2bo2bo2bo2bo29bob2ob2obo10b2obo
b2o$106b2o33bo26b3o33b2o5b2o4bo2b2o14b2o5b2o3bo32b3obo10bob2obo$141b2o
61b2o10bobo2bo16b2ob2o40b3o10bo$216bob2o18bobobo42bo9b2o$213b2obo65bob
o$202b2o10bob4o19b3o29bo2bob2o5bo$203bo8bobobo2bo51b4obo$200b3o9b2o2bo
bo57bobo2b2o$200bo15b2o22b3o30b2o2b2o$238b7o28bo$240b3o31bo$273b2o9$
34bo2bo$32b8o126bo$34b4o128b3o$51b2o116bo$51bo68b3o45b2o$34bob2o11bobo
68b3o$b2o3b2o2b2o21b3ob2obo8b2o67bo3b2o$b2o3b2o3bo17b2obo4bob3o76b3obo
bo$10bo18b2o2b3obo4bo73bo2bo2bobo42bo$b2o3b2o2b2o22bob2ob3o56b2o22b3o
43bo$bobobobo90bo69bo$3bobo4b2o87bo12b2o$2b2obo5bo82b2o2b2o11bobo18b2o
$6b2o2bo83bobo14bo20bo$7bo2b2o23b3ob2obo43b2o8bob4o8b2o18bobo34bobo8b
2o$6bo27bo4bob3o2b2o47b2obo2bo28b2o35bob2o11bo$6b2o2b2o23b3obo4bob2o
40b2o77bo2bo9bobo$7bo3bo14b2o8bob2ob3o40bo3b2o29b3o44bobo9bo2bo$6bo3bo
14bobo11b2obo43bo2bo29bobo2bo2bo38bo11b2obo$6b2o2b2o13bo60b2o31bobob3o
43b2o8bobo$24b2o60bo2b2o29b2o3bo$39b4o44b4o30b3o$37b8o42b2o32b3o$39bo
2bo137bo$180bo$181bo4$179b2o$179bo$180b3o$182bo15$2b2o3b2o2b2o39bo2bo$
2b2o3b2o3bo6b2o2b2o2b2o22b6o$11bo7b2o2b2o2b2o$2b2o3b2o2b2o$2bobobobo$
4bobo4b2o6b2o6b2o$3b2obo5bo6b2o6b2o26b2o3b2o$7b2o2bo41b2obo3bob2o$8bo
2b2o40bo9bo$7bo11b2o6b2o24bobo5bobo$7b2o2b2o6b2o6b2o22bo2b2ob3ob2o$8bo
3bo43bo3bo$7bo3bo44bo3bo$7b2o2b2o44b3o2b3o$61bo3bo$61bo3bo$59b2ob3ob2o
2bo$58bobo5bobo$58bo9bo$58b2obo3bob2o$60b2o3b2o5$65b6o$66bo2bo!

(yes, I know about what happens when you run it to completion)

[muzik]

jslife also has the following p34 wicks:

Code: Select all

x = 331, y = 73, rule = B3/S23
2obo4b2o3b2o$ob2o4b2o3b2o7b2o7b3o$4b2o16b2o6bo3bo$4bo3b2o3b2o14bo5bo
69bo$5bo2bobobobo15bo3bo69bobo48b3o36bob2o6bo113b2ob2o5bo$4b2o4bobo18b
3o57b2o8b2obo2bo7b2o38bo38b2obo4b3o114bobo5bobo$2obo5b2obo78b2o7bo2bob
2o8b2o40bo45bo60bo55bo5b2ob2o$ob2o9b2o86bobo51b3o106bo$4b2o8bo15b3o69b
o109bo51bobo$4bo8bo15bo3bo177b3o4bob2o96bo$5bo7b2o13bo5bo176bo6b2obo
40b2obo50bo2bo$4b2o8bo14bo3bo6b2o58bo49b3o108bo7bo47bobo$2obo9bo16b3o
7b2o57bobo48bo110bo5bo49bo2bo$ob2o9b2o71b2o8b2obo2bo7b2o40bo33bob2o6bo
60b3o9b3o46bo$86b2o7bo2bob2o8b2o38b3o33b2obo4b3o64bo5bo$96bobo96bo59bo
3bo7bo$22b2o7b3o63bo157bo7bob2o39b2ob2o5bo$22b2o6bo3bo169bo50bobo49bob
o5bobo$29bo5bo109b3o55b3o4bob2o48bobo43bo5b2ob2o$30bo3bo60bo49bo57bo6b
2obo39b2obo7bo$31b3o60bobo50bo104bo7bo3bo$81b2o8b2obo2bo7b2o38b3o104bo
5bo47bo$81b2o7bo2bob2o8b2o71bob2o6bo59b3o9b3o41bo2bo$30b3o58bobo84b2ob
o4b3o63bo5bo46bobo$29bo3bo58bo94bo58bo3bo7bo46bo2bo$28bo5bo105b3o103bo
7bob2o48bo$29bo3bo6b2o98bo55bo49bobo$30b3o7b2o48bo51bo52b3o4bob2o47bob
o$89bobo48b3o52bo6b2obo38b2obo7bo38b2ob2o5bo$76b2o8b2obo2bo7b2o141bo7b
o3bo39bobo5bobo$76b2o7bo2bob2o8b2o141bo5bo46bo5b2ob2o$22b2o7b3o52bobo
81bob2o6bo58b3o9b3o$22b2o6bo3bo52bo47b3o32b2obo4b3o62bo5bo$29bo5bo99bo
43bo57bo3bo7bo44bo$30bo3bo102bo99bo7bob2o43bo2bo$31b3o51bo49b3o50bo48b
obo53bobo$84bobo100b3o4bob2o46bobo46bo2bo$71b2o8b2obo2bo7b2o90bo6b2obo
37b2obo7bo47bo$30b3o38b2o7bo2bob2o8b2o137bo7bo3bo$29bo3bo47bobo46b3o
101bo5bo$28bo5bo47bo47bo31bob2o6bo57b3o9b3o37b2ob2o5bo$29bo3bo6b2o90bo
29b2obo4b3o61bo5bo42bobo5bobo$30b3o7b2o88b3o38bo56bo3bo7bo43bo5b2ob2o$
80bo147bo7bob2o$79bobo98bo47bobo$66b2o8b2obo2bo7b2o87b3o4bob2o45bobo
44bo$22b2o7b3o32b2o7bo2bob2o8b2o33b3o51bo6b2obo36b2obo7bo42bo2bo$22b2o
6bo3bo41bobo46bo99bo7bo3bo43bobo$29bo5bo41bo49bo97bo5bo49bo2bo$30bo3bo
90b3o26bob2o6bo56b3o9b3o46bo$31b3o120b2obo4b3o60bo5bo$75bo87bo55bo3bo
7bo$74bobo142bo7bob2o39b2ob2o5bo$30b3o28b2o8b2obo2bo7b2o33b3o49bo46bob
o49bobo5bobo$29bo3bo27b2o7bo2bob2o8b2o33bo50b3o4bob2o44bobo43bo5b2ob2o
$28bo5bo36bobo48bo48bo6b2obo35b2obo7bo$29bo3bo6b2o30bo47b3o93bo7bo3bo$
30b3o7b2o174bo5bo47bo$212b3o9b3o41bo2bo$70bo145bo5bo46bobo$69bobo43b3o
96bo7bo46bo2bo$22b2o7b3o22b2o8b2obo2bo7b2o33bo102bob2o48bo$22b2o6bo3bo
21b2o7bo2bob2o8b2o35bo$29bo5bo30bobo46b3o99bobo$30bo3bo32bo151bo38b2ob
2o5bo$31b3o185bo39bobo5bobo$260bo5b2ob2o$65bo44b3o$30b3o31bobo43bo$29b
o3bo17b2o8b2obo2bo7b2o35bo$28bo5bo16b2o7bo2bob2o8b2o33b3o$29bo3bo6b2o
19bobo$30b3o7b2o20bo!

[muzik]

Some near-miss vex stabilisations:

I realized that a known near-stabilization of the P41 wick can turn beehives with tails into gliders with what I presume is a known reaction. Unfortunately, such gliders go the wrong way.

Code: Select all

x = 21, y = 47, rule = B3/S23
13bo$11b3o$10bo$2bo6bobo6bo$2b3o4bobo4b3o$5bo4bo4bo$4b2o9b2o3$6b2o5b2o
$6b2o5b2o2$6bobo3bobo$6b3o3b3o$7bo5bo3$5b2o7b2o$6b2o5b2o$8bo3bo$7b2o3b
2o$7b2o3b2o2$3o15b3o2$7b2o3b2o$7b2o3b2o$8bo3bo$6b2o5b2o$5b2o7b2o3$7bo
5bo$6b3o3b3o$6bobo3bobo2$6b2o5b2o$6b2o5b2o3$4b2o9b2o$5bo4bo4bo$2b3o4b
obo4b3o$2bo6bobo6bo$10bo$7b3o$7bo!

EDIT: P41 wick near-miss

Code: Select all

x = 17, y = 45, rule = Life
5bo5bo$4bobo3bobo$4bobo3bobo$3b2ob2ob2ob2o2$bo13bo$obo11bobo$bo13bo3$
4b3o3b3o$4bo2bobo2bo$2bo4bobo4bo$2bo11bo$6b2ob2o$6bo3bo$3b2o7b2o$2b3o
7b3o$4bo7bo$5b2o3b2o$b2o3bo3bo3b2o$b3obo5bob3o$o15bo$b3obo5bob3o$b2o3b
o3bo3b2o$5b2o3b2o$4bo7bo$2b3o7b3o$3b2o7b2o$6bo3bo$6b2ob2o$2bo11bo$2bo
4bobo4bo$4bo2bobo2bo$4b3o3b3o3$bo13bo$obo11bobo$bo13bo2$3b2ob2ob2ob2o$
4bobo3bobo$4bobo3bobo$5bo5bo!

I almost stabilized P41, just two cells became wrong.

Code: Select all

x = 21, y = 45, rule = B3/S23
7b2o3b2o$8bo3bo$2bo5bobobo5bo$2b3o4bobo4b3o$5bo4bo4bo$4b2o9b2o3$6b2o5b
2o$6b2o5b2o2$6bobo3bobo$6b3o3b3o$7bo5bo3$5b2o7b2o$6b2o5b2o$8bo3bo$7b2o
3b2o$7b2o3b2o2$3o15b3o2$7b2o3b2o$7b2o3b2o$8bo3bo$6b2o5b2o$5b2o7b2o3$7b
o5bo$6b3o3b3o$6bobo3bobo2$6b2o5b2o$6b2o5b2o3$4b2o9b2o$5bo4bo4bo$2b3o4b
obo4b3o$2bo5bobobo5bo$8bo3bo$7b2o3b2o!
#C [[ STOP 41 ]]

I did manage to stabilize it in StateInvestigator though, so maybe there is a catalyst in life that works?

Code: Select all

x = 21, y = 41, rule = StateInvestigator
10.E$9.3D$9.EAE$4.2D9.2D$4.E11.E10$7.2A3.2A$6.A.A3.A.A$6.A7.A$6.A.A3.
A.A$7.2A3.2A2$3A15.3A2$7.2A3.2A$6.A.A3.A.A$6.A7.A$6.A.A3.A.A$7.2A3.2A
10$4.E11.E$4.2D9.2D$9.EAE$9.3D$10.E!

This is the CLOSEST I got to a P41:

Code: Select all

x = 73, y = 21, rule = B3/S23
20bo31bo$20bo31bo$20bo31bo2$o71bo$3o67b3o$3bo65bo$2bo13bo7bo23bo7bo13b
o$2b2o10b2ob2o3b2ob2o19b2ob2o3b2ob2o10b2o$16bo7bo23bo7bo2$16bo7bo23bo
7bo$2b2o10b2ob2o3b2ob2o19b2ob2o3b2ob2o10b2o$2bo13bo7bo23bo7bo13bo$3bo
65bo$3o67b3o$o71bo2$20bo31bo$20bo31bo$20bo31bo!
#C [[ STOP 27 ]]

It hassled the P51 in the right way, but the hook with tail is just too obstructive. Maybe Bellman can help?

Here's another near-miss attempt at p41 wick stabilization that I haven't seen before:

Code: Select all

x = 23, y = 73, rule = LifeHistory
5.2BC2B3.2BC2B$4.2BCBC2B.2BCBC2B$4.BC.BC2B.2BCB.CB$4.2B2C3B.3B2C2B$2.
2CB.5B.5B.B2C$.C.CB.3BAB.BA3B.BC.C$.C5.BA2B.2BAB5.C$2C4.2BABA.ABA2B4.
2C$5.5BA.A5B$4.7B.7B$5.6B.6B$5.6B.6B$6.5B.5B$5.6B.6B$4.7B.7B$2.6B3C.
3C6B$2.6BCBC.CBC6B$3.5B3C.3C5B$2.9B.9B$2.C8B.8BC$.BC3B11.3BCB$2.C8B.
8BC$2.9B.9B$3.5B3C.3C5B$2.6BCBC.CBC6B$2.6B3C.3C6B$4.7B.7B$5.6B.6B$6.
5B.5B$5.6B.6B$5.6B.6B$4.7B.7B$5.6B.6B$6.5B.5B$7.4B.4B$7.4B.4B2$7.4B.
4B$7.4B.4B$6.5B.5B$5.6B.6B$4.7B.7B$5.6B.6B$5.6B.6B$6.5B.5B$5.6B.6B$4.
7B.7B$2.6B3C.3C6B$2.6BCBC.CBC6B$3.5B3C.3C5B$2.9B.9B$2.C8B.8BC$.BC3B
11.3BCB$2.C8B.8BC$2.9B.9B$3.5B3C.3C5B$2.6BCBC.CBC6B$2.6B3C.3C6B$4.7B.
7B$5.6B.6B$6.5B.5B$5.6B.6B$5.6B.6B$4.7B.7B$5.5BA.A5B$2C4.2BABA.ABA2B
4.2C$.C5.BA2B.2BAB5.C$.C.CB.3BAB.BA3B.BC.C$2.2CB.5B.5B.B2C$4.2B2C3B.
3B2C2B$4.BC.BC2B.2BCB.CB$4.2BCBC2B.2BCBC2B$5.2BC2B3.2BC2B!

Eaters alone do not rephrase the wick correctly:

In light of recent discoveries, here's a failed stabilisation of a p41 wick that's been known for quite a while now. Just in case.

Code: Select all

x = 322, y = 67, rule = B3/S23
bo$2bo$3o9$10bobo$11b2o$11bo8$22bo$20bobo$21b2o23bo31bo31bo31bo31bo31b
o31bo31bo31bo$46bo31bo31bo31bo31bo31bo31bo31bo31bo$46bo31bo31bo31bo31b
o31bo31bo31bo31bo17b2o$320bo$318bobo$318b2o2$42bo7bo23bo7bo23bo7bo23bo
7bo23bo7bo23bo7bo23bo7bo23bo7bo23bo7bo$40b2ob2o3b2ob2o19b2ob2o3b2ob2o
19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b
2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o$42bo7bo23bo7bo23bo7bo23bo7bo23bo7b
o23bo7bo23bo7bo23bo7bo23bo7bo2$42bo7bo23bo7bo23bo7bo23bo7bo23bo7bo23bo
7bo23bo7bo23bo7bo23bo7bo$40b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o
19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b2ob2o19b2ob2o3b
2ob2o19b2ob2o3b2ob2o$42bo7bo23bo7bo23bo7bo23bo7bo23bo7bo23bo7bo23bo7bo
23bo7bo23bo7bo2$318b2o$318bobo$320bo$46bo31bo31bo31bo31bo31bo31bo31bo
31bo17b2o$46bo31bo31bo31bo31bo31bo31bo31bo31bo$21b2o23bo31bo31bo31bo
31bo31bo31bo31bo31bo$20bobo$22bo8$11bo$11b2o$10bobo9$3o$2bo$bo!

The beehive trick was also known earlier:

Juncture between two copies of a p41 wick using beehives:

Code: Select all

x = 241, y = 19, rule = B3/S23
8b3o29b3o29b3o29b3o14bo15b3o29b3o29b3o29b3o$4b3o5b3o21b3o5b3o21b3o5b3o
21b3o5b3o9bobo$3bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo8bob
o$3bo4bobo4bo19bo4bobo4bo19bo4bobo4bo19bo4bobo4bo9bo$b2ob2ob2ob2ob2ob
2o15b2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2o$obo13bo
bo13bobo13bobo13bobo13bobo13bobo13bobo9bo$o6b2ob2o6bo13bo6b2ob2o6bo13b
o6b2ob2o6bo13bo6b2ob2o6bo8bo2bo8bo5bo25bo5bo25bo5bo25bo5bo$2obo2bo5bo
2bob2o13b2obo2bo5bo2bob2o13b2obo2bo5bo2bob2o13b2obo2bo5bo2bob2o8b3o6bo
b3o3b3obo6b2o3b2o6bob3o3b3obo6b2o3b2o6bob3o3b3obo6b2o3b2o6bob3o3b3obo$
2b2o3b2ob2o3b2o17b2o3b2ob2o3b2o17b2o3b2ob2o3b2o17b2o3b2ob2o3b2o11b2o6b
o11bo19bo11bo19bo11bo19bo11bo2$2b2o3b2ob2o3b2o17b2o3b2ob2o3b2o17b2o3b
2ob2o3b2o17b2o3b2ob2o3b2o11b2o6bo11bo19bo11bo19bo11bo19bo11bo$2obo2bo
5bo2bob2o13b2obo2bo5bo2bob2o13b2obo2bo5bo2bob2o13b2obo2bo5bo2bob2o8b3o
6bob3o3b3obo6b2o3b2o6bob3o3b3obo6b2o3b2o6bob3o3b3obo6b2o3b2o6bob3o3b3o
bo$o6b2ob2o6bo13bo6b2ob2o6bo13bo6b2ob2o6bo13bo6b2ob2o6bo8bo2bo8bo5bo
25bo5bo25bo5bo25bo5bo$obo13bobo13bobo13bobo13bobo13bobo13bobo13bobo9bo
$b2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2o15b2ob2ob2o
b2ob2ob2o$3bo4bobo4bo19bo4bobo4bo19bo4bobo4bo19bo4bobo4bo9bo$3bo3bo3bo
3bo19bo3bo3bo3bo19bo3bo3bo3bo19bo3bo3bo3bo8bobo$4b3o5b3o21b3o5b3o21b3o
5b3o21b3o5b3o9bobo$8b3o29b3o29b3o29b3o14bo15b3o29b3o29b3o29b3o!

Many other phase offsets will work.

[JP21]

Failed stable 180 degree reflector that would've complete a p34

Code: Select all

x = 21, y = 21, rule = B3/S23
15b2o$13b3o$8b2o2bo4bo$8bo3bob2ob3o$9b3obobo4bo$11bobo3b3o$11bobobobo$
12b2ob2o$2b2o$2bobo$4bo$4b3o10b2o$2b2o3bo9bobo$bo2b4o2bobo5bo$bobo6b2o
$2ob2ob2o3bo$o6bo$2b2ob2o4b2o$3bobo5bobo$3bobo6bo$4bo!

[muzik]

Failed stable 180 degree reflector that would've complete a p34

Code: Select all

x = 21, y = 21, rule = B3/S23
15b2o$13b3o$8b2o2bo4bo$8bo3bob2ob3o$9b3obobo4bo$11bobo3b3o$11bobobobo$
12b2ob2o$2b2o$2bobo$4bo$4b3o10b2o$2b2o3bo9bobo$bo2b4o2bobo5bo$bobo6b2o
$2ob2ob2o3bo$o6bo$2b2ob2o4b2o$3bobo5bobo$3bobo6bo$4bo!

There is also this:

Code: Select all

x = 13, y = 9, rule = B3/S23
o7bo$3o3b2o$3bo3b2o$2b2o3$11bo$5b2o3bobo$5b2o4bo!

just need the right still life

I think there's some potential there. As I noted previously, a sufficient still life could give a p34 oscillator.

I posted the history of this reaction here.

[erictom333]

Promising partials for p34 and p41 oscillators, stabilised in LifeFunc:

Code: Select all

x = 105, y = 73, rule = LifeFunc
68.2A.2A2.A$69.A.A3.3A17.A4.2A$67.A4.A5.A15.A.A3.2A$67.4A.A.2A2.A16.A
$57.2A11.A.3A.A.2A$58.A8.2A2.A.A2.A$58.A.A6.A.2A4.A27.AC$59.A.A4.B6.
4A.2A18.A4.AC$68.2A.A.A5.A16.2A$68.2A.4A2.2A13.CA3.2A$62.2A10.A.A15.C
A$62.2A.2A7.A.A$65.2A6.2A.2A$59.2A40.A$58.A.A34.2A3.A.A$58.A8.A.A25.
2A4.A$57.2A9.A.A$70.A$70.2A8$67.B$66.3C23.2A3.2A$37.A29.C25.A3.A$29.A
6.A.A6.A13.A6.A.A6.A11.A5.A.A.A5.A$29.3A4.C.C4.3A13.3A4.A.A4.3A11.3A
4.AFA4.3A$32.A4.E4.A19.A4.A4.A17.A4.A4.A$31.2A9.2A17.2A9.2A15.2A9.2A$
6.B5.B10$7.A3.A23.A3.A25.A3.A23.A3.A$6.2A3.2A21.2A3.2A23.2A3.2A21.2A
3.2A$5.2A5.2A19.2A5.2A21.2A5.2A19.2A5.2A$6.2A3.2A21.2A3.2A23.2A3.2A
21.2A3.2A$7.A3.A23.A3.A25.A3.A23.A3.A$A17.A9.A17.A11.A17.A9.A17.A$A
17.A9.A17.A11.A17.A9.A17.A$A17.A9.A17.A11.A17.A9.A17.A$7.A3.A23.A3.A
25.A3.A23.A3.A$6.2A3.2A21.2A3.2A23.2A3.2A21.2A3.2A$5.2A5.2A19.2A5.2A
21.2A5.2A19.2A5.2A$6.2A3.2A21.2A3.2A23.2A3.2A21.2A3.2A$7.A3.A23.A3.A
25.A3.A23.A3.A10$6.B5.B$31.2A9.2A17.2A9.2A15.2A9.2A$32.A4.E4.A19.A4.A
4.A17.A4.A4.A$29.3A4.C.C4.3A13.3A4.A.A4.3A11.3A4.AFA4.3A$29.A6.A.A6.A
13.A6.A.A6.A11.A5.A.A.A5.A$37.A29.C25.A3.A$66.3C23.2A3.2A$67.B!

[hotcrystal0]

Perhaps the catalyst can be made in Life?

Code: Select all

x = 23, y = 30, rule = Symbiosis
2.A17.A$2.3A13.3A$5.A11.A$4.A13.A$4.A3.A5.A3.A$.B7.A3.A7.B$A3.A5.A.A5.
A3.A$BA.A3.A7.A3.A.AB$A2.A2.A.A5.A.A2.A2.A$.B.A3.A7.A3.A.B$4.A5.A.A5.
A$5.A3.A3.A3.A$6.3A5.3A5$6.3A5.3A$5.A3.A3.A3.A$4.A5.A.A5.A$.B.A3.A7.A
3.A.B$A2.A2.A.A5.A.A2.A2.A$BA.A3.A7.A3.A.AB$A3.A5.A.A5.A3.A$.B7.A3.A7.
B$4.A3.A5.A3.A$4.A13.A$5.A11.A$2.3A13.3A$2.A17.A!

[hotdogPi]

Perhaps the catalyst can be made in Life?

Code: Select all

x = 23, y = 30, rule = Symbiosis
2.A17.A$2.3A13.3A$5.A11.A$4.A13.A$4.A3.A5.A3.A$.B7.A3.A7.B$A3.A5.A.A5.
A3.A$BA.A3.A7.A3.A.AB$A2.A2.A.A5.A.A2.A2.A$.B.A3.A7.A3.A.B$4.A5.A.A5.
A$5.A3.A3.A3.A$6.3A5.3A5$6.3A5.3A$5.A3.A3.A3.A$4.A5.A.A5.A$.B.A3.A7.A
3.A.B$A2.A2.A.A5.A.A2.A2.A$BA.A3.A7.A3.A.AB$A3.A5.A.A5.A3.A$.B7.A3.A7.
B$4.A3.A5.A3.A$4.A13.A$5.A11.A$2.3A13.3A$2.A17.A!

I've pointed this one out before (it works with a dot spark). Catalyst searchers found nothing.

[NimbleRogue]

Dont remember who originally found this, but this is a way to get gliders out of the p41

Code: Select all

x = 62, y = 31, rule = B3/S23
3$28b3o3$10b2o35b2o$9bo2bo33bo2bo$10b2o35b2o$4b2o18b3o5b3o18b2o$4b2o
18bobo5bobo18b2o$24b3o5b3o2$24b3o5b3o$4b2o18bobo5bobo18b2o$4b2o18b3o5b
3o18b2o$10b2o35b2o$9bo2bo33bo2bo$10b2o35b2o3$28b3o!

[cvojan]

P34 partial I found

Code: Select all

x = 21, y = 32, rule = B3/S23
15b2o$10b2o2bobo$10bo3bo4bo$11b3ob5o$13bo$14b2ob3o$15b3o2bo$19b2o$3b3o
3$10bo$9bobo3b2o$8bo3bo2bobo$9bobo5bo$10bo6b2o$2b2o6bo$3bo5bobo$3bobo
2bo3bo$4b2o3bobo$10bo3$15b3o$2o$o2b3o$b3ob2o$7bo$b5ob3o$bo4bo3bo$4bobo
2b2o$4b2o!

The Hickerson eaters consume a loaf the reaction produces.

[hotdogPi]

Really close to a p19 — we just need something to replace the snakes, since they interact one generation too early.

Code: Select all

x = 33, y = 33, rule = B3/S23
12b2o5b2o$13bo5bo$12bo7bo$12b2o5b2o2$14bo3bo$12b2obobob2o$12bo2bobo2bo
$14bo3bo$10bob2o5b2obo$9bo2bo7bo2bo2$ob2o2b2ob2o11b2ob2o2b2obo$2obo2bo
2bo13bo2bo2bob2o$5bo2bo15bo2bo$6b2o17b2o2$6b2o17b2o$5bo2bo15bo2bo$2obo
2bo2bo13bo2bo2bob2o$ob2o2b2ob2o11b2ob2o2b2obo2$9bo2bo7bo2bo$10bob2o5b
2obo$14bo3bo$12bo2bobo2bo$12b2obobob2o$14bo3bo2$12b2o5b2o$12bo7bo$13bo
5bo$12b2o5b2o!

[Jormungant]

Some hive pushing reaction...

Code: Select all

x = 70, y = 42, rule = LifeHistory
3$32.A$31.3A2$32.A$9.2A20.ABA$10.A19.BABAB$8.A21.2BA2B$8.5A17.5B$12.A
15.3B3.3B$6.4A18.2B.B.B.2B17.2A$6.A2.A18.B2AB.B2AB12.A4.A.A.2A.A$27.B
ABAB.BABAB11.3A4.A.A.2A$26.2BA2BA.A2BA2B13.A3.2A$16.2A7.B.2B2AB.B2A2B
.B11.2A$16.2A6.3B.2BA3.A2B.3B21.2A$21.3B2A2B9.2B2A3B9.3A6.A$10.3A8.2B
A2BAB9.BA2BA2B8.A3.A3.A.A$10.A2.A4.4B.2AB2A9.2AB2A.4B4.A5.A2.2A$5.2A
2.2A3.A2.2A2B.3BAB11.BA3B.2B2A2.A3.A3.A$5.A8.A.A2BAB23.BA2BA.A2.A.A2.
A$2.2A.A8.A2.2A2B.3BAB11.BA3B.2B2A2.A3.A3.A$2.A.2A.2A2.A.A4.4B.2AB2A
9.2AB2A.4B4.A5.A2.2A$7.A2.3A8.2BA2BAB9.BA2BA2B8.A3.A3.A.A$7.A.2A10.3B
2A2B9.2B2A3B9.3A6.A$8.2A14.3B.2BA3.A2B.3B21.2A$12.A12.B.2B2AB.B2A2B.B
16.2A$8.5A13.2BA2BA.A2BA2B8.2A2.2A3.A$8.A18.BABAB.BABAB9.A2.A.A4.3A$
10.A17.B2AB.B2AB12.2A.A.A4.A$9.2A17.2B.B.B.2B16.2A$28.3B3.3B$30.5B$
30.2BA2B$30.BABAB$31.ABA$32.A2$31.3A!

Probably useless since the timing for the hive is precise, but who knows ^^

[affamatodidio]

And now the p19 is in the same position as the David Hilbert. Except, this time, there are four beehives in need of pushing instead of just one. Most likely impossible to complete.

Code: Select all

x = 39, y = 39, rule = B3/S23
18bobo$18b3o2$19bo$18bobo$18bobo$19bo4$16b2o3b2o$15bobo3bobo$15bo2bob
o2bo$16b2o3b2o$17bo3bo$11b2o13b2o$10bo2bo11bo2bo$10b2ob2o9b2ob2o$2o2b
2o6bo13bo6b2o2b2o$bobo2bo25bo2bobo$2o2b2o6bo13bo6b2o2b2o$10b2ob2o9b2o
b2o$10bo2bo11bo2bo$11b2o13b2o$17bo3bo$16b2o3b2o$15bo2bobo2bo$15bobo3b
obo$16b2o3b2o4$19bo$18bobo$18bobo$19bo2$18b3o$18bobo!

[hotdogPi]

It works with the 7-generation 2-cell traffic light push. We don't have any that push 2 cells in 12 generations, though...

[squareroot12621]

It works with the 7-generation 2-cell traffic light push. We don't have any that push 2 cells in 12 generations, though...

Yes, a "double beehive push catalyst" might not be of any use, especially if it has a repeat time of >12 generations.

[affamatodidio]

Apologies for the non-constructive post, however, if someone were to run a catalyst searching program that would push back the beehives at an opportune time, or some other stabilization, we would be even closer to a finished p19. This is incredibly promising.

[NimbleRogue]

Here are Four other reactions that seem possible.

Code: Select all

x = 48, y = 46, rule = B3/S23
4$27bo$26b2o$25b3o2$24bo3bo$23bobobobo$22b2obobob2o$22bobo3bobo$20b3o
7b3o$19bobo9bobo$19b2o11b2o$17b3o13b3o$16b2o17b2o$11bo3bo2bo15bo2bo3b
2o$9b2ob2o2b2o17b2o2b2obo$9b2ob2o25b2o$9b2ob2o2b2o17b2o2b2obo$11bo3bo
2bo15bo2bo3b2o$16b2o17b2o$17b3o13b3o$19b2o11b2o$19bobo9bobo$20b3o7b3o$
22bobo3bobo$22b2obobob2o$23bobobobo$24bo3bo2$25bobo$24b2ob2o!

[Layz Boi]

I highly doubt it, but could there a stable catalyst kind of like this? Here's a few (similar) still-lives that support one cycle but collapse upon doing so:

Code: Select all

x = 47, y = 36, rule = B3/S23
$19b2o6b2o$19bo7bo$20b3ob2obo$22bobobo4$9b2o$10bo$9bo10b3o3b3o13b2o$8b
ob3o6b2o7b2o6b2o5bo$7bobo2bo5bob2o5b2obo5bobo2bo$3b2o2bobo7b3o9b3o6b5o
$3bobobob2o6bobo9bobo5bo5bo$5bobo3bo5bo13bo6bob3o$2bo2bo2bobo26b2obo$b
obob2obob2o$2bo2bo2bobo26b2obo$5bobo3bo5bo13bo6bob3o$3bobobob2o6bobo9b
obo5bo5bo$3b2o2bobo7b3o9b3o6b5o$7bobo2bo5bob2o5b2obo5bobo2bo$8bob3o6b
2o7b2o6b2o5bo$9bo10b3o3b3o13b2o$10bo$9b2o4$22bobobo$21bob3obo$21bo5bo$
22b5o$24bo!
[[ GPS 13 STOP 19 ]]

[rattlesnake]

There is a non-trivial p34 oscillator:74P34

[Stepan Babintsev]

There is a non-trivial p34 oscillator:74P34

Yes, it was discovered on july 6, viewtopic.php?t=&p=147943#p147943 , so now this forum must be "The Last Two Periods"

[AlbertArmStain]

Now it’s only one last period, p41

EDIT by dvgrn: ... due to the appearance of cribbage.

[hotcrystal0]

I think we should rename the thread to something like “The Hunt For a P41 Oscillator”.

[Cyclotrons]

Has there been any effort to extract a signal out of any of the p41 partials? It may be possible to get a p41 glider stream that way and use it to stabilize the partial.

[Period1GliderGun]

Has there been any effort to extract a signal out of any of the p41 partials? It may be possible to get a p41 glider stream that way and use it to stabilize the partial.

I'm pretty sure that you can use beehives to get gliders out of the p41 wick, but there's no obvious way to put them back. Another issue is the lack of stable reflectors with repeat time 41 or less.

then again, if we had a stable reflector with repeat time 41 or less, we wouldn't need to get gliders out of anything.