Engineered diehard: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older editNewer edit →
Confocal (talk | contribs)
9,118 edits
m Book moved page Engineered diehards to Engineered diehard without leaving a redirect
Confocal (talk | contribs)
9,118 edits
split content from https://conwaylife.com/w/index.php?title=Die_hard&oldid=136998
Tag: Removed redirect
Line 1: Line 1:
#REDIRECT [[Die hard#Engineered diehards]]
{|style="float:right;margin-left:16px;margin-bottom:8px;width:300px;"
|{{EmbedViewer
|pname        = diehard30273
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
|position    = center
|caption      = 30,273-tick diehard with bounding box {{times|32|32}} by Hickerson<ref name="post143921" />
}}
|}
{{main|Die hard#"Die hard" as a general term}}
Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, [[Dean Hickerson]] shared a 9044-tick {{times|32|32}} diehard in a private email to [[Dave Greene]]. After a complex series of interactions between an active reaction and various still lifes, a single [[lightweight spaceship]] is produced which eventually catches up to and collides with [[30P5H2V0]], producing a single [[loaf]]. Finally, an even slower [[25P3H1V0.1]] eventually collides with the loaf, destroying both of them.<ref name="post143573" /> On March 6, more optimized versions using different combinations of spaceships (including the especially slow [[copperhead]]) were shared, including a 14,010-tick diehard at {{times|32|32}} and an 18,477-tick diehard at {{times|36|36}}.<ref name="post143574" />
 
Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.<ref name="post143559" /> On March 31, [[Pavel Grankovskiy]] posted a 50,716-tick diehard in which a [[Simkin glider gun]] and [[pulse divider|pulse-dividing]] glider reflectors are used to slowly eat through a series of [[tub]]s. Although significantly larger than Hickerson's constructions at {{times|90|86}}, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.<ref name="post143605" /> [[Jiahao Yu]] optimized the bounding box of both of these patterns to {{times|87|86}},<ref name="post143624" /> as shown below.
{{gallery top}}
{{gallery item|{{EmbedViewer
|pname        = diehard50716
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position    = center
|caption      = 50,716-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style        = width:300px;
}}}}
{{gallery item|{{EmbedViewer
|pname        = diehard518476
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
|position    = center
|caption      = 518,476-tick diehard with bounding box {{times|87|86}} by Grankovskiy and Yu
|style        = width:300px;
}}}}
{{gallery bottom}}
 
==== Sawtooth-based designs ====
Using a [[sawtooth]] allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an {{c|Sawtooths with expansion factor 121|expansion factor of 121}}. The pattern fits within a bounding box of {{times|99|101}} (just barely meeting the 10,000-cell restriction specified in the original post<ref name="post143559" />) and lasts approximately {{times|2.280624|10{{sup|870}}}} generations.<ref name="post143908" /> Further optimizations, with the help of [[toroidalet]],<ref name="post143914" /> Dean Hickerson,<ref name="post143920" /> [[EvinZL]],<ref name="post143997" /> [[Rocknlol]],<ref name="post144020" /> and [[Adam P. Goucher]]<ref name="post144030" /> increased its lifespan to {{times|~1.33616|10{{sup|1443}}}} ticks<ref name="post144027" /> and decreased its bounding box to {{times|94|98}}.<ref name="post144045" />
 
{{EmbedViewer
|pname        = diehard1e1443
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
|position    = center
|caption      = {{times|94|98}} exponential diehard by Grankovskiy et al.
|style        = width:300px;
}}
 
On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via [[tetration]], the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,<ref name="post144034" /> the diehard version was completed on April 11.<ref name="post144077" /> With optimization by [[Tanner Jacobi]]<ref name="post144087" /> and toroidalet,<ref name="post144162" /><ref name="post149066" /> its lifespan is somewhere between <sup>15</sup>10 and <sup>16</sup>10 ticks.<ref>{{Cite web|url=https://btm.qva.mybluehost.me/telling-the-tale-of-two-tetrations/|author=Brett Berger|title=Telling the tale of two tetrations|work=a blog by biggiemac42|date=April 17, 2022|accessdate=April 17, 2022}}</ref>
 
{{EmbedViewer
|pname        = diehardtetration
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position    = center
|caption      = {{times|111|90}} tetrational diehard by Grankovskiy et al.
|style        = width:300px;
}}
 
On July 9, 2023, [[EvinZL]] proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,<ref name="post163493" /> based on the original idea of [[Tanner Jacobi]].<ref name="post148684" /> In a flurry of activity that followed after, [[toroidalet]], [[Adam P. Goucher]], [[Pavel Grankovskiy]] and [[EvinZL]] pushed the number of loaves from 15<ref name="tetrational_15_loaves" /> to approximately {{times|3.52|10{{sup|48}}}}<ref name="tetrational_1e48" />, with the latter improvement based on idea by [[Adam P. Goucher]] to use gliders from exponential part of diehard to ignite the fuse.<ref name="tetrational_exp_idea" /> This was subsequently improved to {{times|1.1|10{{sup|1046}}}}<ref name="tetrational_1e1046" /><ref name="tetrational_exp_cp4space" />.
 
{{EmbedViewer
|pname        = diehardtetration1046
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
|position    = center
|caption      = {{times|109|91}} tetrational diehard with a lifespan exceeding <sup>10<sup>1046</sup></sup>10.
|style        = width:300px;
}}
 
== References ==
<references>
<ref name="post143573">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143573
|author = Dave Greene
|date  = March 31, 2022
}}</ref>
<ref name="post143574">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143574
|author = Dave Greene
|date  = March 31, 2022
}}</ref>
<ref name="post143559">{{LinkForumThread
|format = ref
|title  = (Engineered) diehards
|p      = 143559
|author = squareroot12621
|date  = March 30, 2022
}}</ref>
<ref name="post143605">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143605
|author = Pavel Grankovskiy
|date  = March 31, 2022
}}</ref>
<ref name="post143624">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143624
|author = Jiahao Yu
|date  = March 31, 2022
}}</ref>
<ref name="post143921">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143921
|author = Dean Hickerson
|date  = April 7, 2022
}}</ref>
<ref name="post143908">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143908
|author = Pavel Grankovskiy
|date  = April 7, 2022
}}</ref>
<ref name="post143914">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143914
|author = toroidalet
|date  = April 7, 2022
}}</ref>
<ref name="post143920">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143920
|author = Dean Hickerson
|date  = April 7, 2022
}}</ref>
<ref name="post143997">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 143997
|author = EvinZL
|date  = April 9, 2022
}}</ref>
<ref name="post144020">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144020
|author = Rocknlol
|date  = April 10, 2022
}}</ref>
<ref name="post144030">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144030
|author = Adam P. Goucher
|date  = April 10, 2022
}}</ref>
<ref name="post144027">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144027
|author = Dean Hickerson
|date  = April 10, 2022
}}</ref>
<ref name="post144045">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144045
|author = toroidalet
|date  = April 10, 2022
}}</ref>
<ref name="post144034">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144034
|author = Pavel Grankovskiy
|date  = April 9, 2022
}}</ref>
<ref name="post144077">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144077
|author = Pavel Grankovskiy
|date  = April 11, 2022
}}</ref>
<ref name="post144087">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144087
|author = Pavel Grankovskiy
|date  = April 11, 2022
}}</ref>
<ref name="post144162">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 144162
|author = toroidalet
|date  = April 13, 2022
}}</ref>
<ref name="post149066">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 149066
|author = toroidalet
|date  = August 2, 2022
}}</ref>
<ref name="post163493">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 163493
|author = EvinZL
|date  = July 9, 2023
}}</ref>
<ref name="post148684">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 148684
|author = Tanner Jacobi
|date  = July 25, 2022
}}</ref>
<ref name="tetrational_15_loaves">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 163828
|author = toroidalet
|date  = July 18, 2023
}}</ref>
<ref name="tetrational_1e48">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 163888
|author = Adam P. Goucher
|date  = July 19, 2023
}}</ref>
<ref name="tetrational_exp_idea">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 163848
|author = Adam P. Goucher
|date  = July 18, 2023
}}</ref>
<ref name="tetrational_1e1046">{{LinkForumThread
|format = ref
|title  = Re: (Engineered) diehards
|p      = 164085
|author = Adam P. Goucher
|date  = July 23, 2023
}}</ref>
<ref name="tetrational_exp_cp4space">{{cite web|url=https://cp4space.hatsya.com/2023/07/23/miscellaneous-discoveries/|title=Miscellaneous discoveries|work=Complex Projective 4-Space|accessdate=May 23, 2023}}</ref>
</references>
 
== External links ==
* {{LinkForumThread|title=Re: (Engineered) diehards|p=144151|author=Pavel Grankovskiy|date=April 12, 2022}} (analysis of the tetrational diehard's total runtime)

Revision as of 01:14, 15 September 2023

x = 32, y = 32, rule = B3/S23 3b3obob3o$7b2o3b3o$b3obo2bo3bo$3b3o2b2o4bo$12b2o$2bo5b4obo2bobo2b3o$bo b4o3b3o3bobob2o2bo$5bo5bobo3bo2b2obo$22bo$16bo8b3o$6b2o8b3o6b2ob2o$2b 2obo2bo7bo2bo6bobob2o$2b2ob2obo8b2o6b2o3b2o$6bob2o7b2o6b2obob2o$6bo2bo 3b2o12b3o$3b2ob2o5b2o10bo$3bo2bo10b2o5b2o$bobo2bobo7bobo2bo4bo$b2o4b2o 3bo3b2o3bo4b2o$11bobo8b5o$12bo12bo3$12b2o4bo2bo2bobo2bo$12bobo2bobo2bo bob3o$14bo3bo2b3o5b2o$ob2ob3o6b2o3b2obo3b2o$o2b2ob2o10bo2b2ob3ob3o$2b 5o12bo2bobo4b2o$3o3bo6b2ob2obob6ob4o$obo2b2o6b2ob4obo2b3o2b2o$2b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 600 ZOOM 14 ]]
30,273-tick diehard with bounding box 32 × 32 by Hickerson[1]
(click above to open LifeViewer)
RLE: here Plaintext: here
Main article: Die hard#"Die hard" as a general term

Beginning in early 2022, there has been considerable interest in constructing artificial diehards within small bounding boxes. On March 1, Dean Hickerson shared a 9044-tick 32 × 32 diehard in a private email to Dave Greene. After a complex series of interactions between an active reaction and various still lifes, a single lightweight spaceship is produced which eventually catches up to and collides with 30P5H2V0, producing a single loaf. Finally, an even slower 25P3H1V0.1 eventually collides with the loaf, destroying both of them.[2] On March 6, more optimized versions using different combinations of spaceships (including the especially slow copperhead) were shared, including a 14,010-tick diehard at 32 × 32 and an 18,477-tick diehard at 36 × 36.[3]

Although Hickerson's results were not initially posted publicly, a forum thread was coincidentally started a few weeks later dedicated to diehards, including engineered ones.[4] On March 31, Pavel Grankovskiy posted a 50,716-tick diehard in which a Simkin glider gun and pulse-dividing glider reflectors are used to slowly eat through a series of tubs. Although significantly larger than Hickerson's constructions at 90 × 86, Grankovskiy's 50,716-tick diehard does not use the "spaceship-chasing" technique, meaning that throughout its evolution, the pattern only slightly exceeds its initial bounds. Using spaceship-chasing, however, the pattern's lifespan can be increased by an order of magnitude to 518,476 ticks without further increasing the bounding box.[5] Jiahao Yu optimized the bounding box of both of these patterns to 87 × 86,[6] as shown below.

x = 87, y = 86, rule = B3/S23 64bo9b2o$63bobo7bobo$44b2o18b2o7bo$44bo27b2o2$53bo25b2o$51b3o24bo2bo$ 50bo28bobo$42b2o6b2o28bo2b3o$42bobo38bo$43bo40bo2$49bo$48b2o5b2o$56bo$ 51bo$50bobo$38b2o11bo$39bo8bo10bo$47bobo9bo$48bo4b2o4bo$45bo7bobo3bo$ 44bobo8bo$45bo9b2o$42bo$34bo6bobo$34b2o6bo7bo$39bo10b2o$38bobo13bo30bo $39bo13bobo29b2o$36bo17bo$35bobo19bo$25b2o9bo11b2o6bobo$26bo6bo15b2o6b o23bo$32bobo15bo9bo3b4o13b2o$15b4o14bo19b2o4bobo$30bo22bo6bo$29bobo19b obo18bo$10b2o8bo9bo20b2o10b2o7b2o$10bo7b3o6bo6bo28bobo14bobo3bo$17bo8b obo4bo30b2o14b2o3bo$2b2o13b2o8bo5b3o3bo40bo4b2o$3bo9bo9b2o13bobo27bo 11b2o3b2o$3bobo6bobo9bo14bo14bo6bo5bobo9bobo4bo$4b2o7bo40b2o5b2o5bo12b o4bo$9bo6bo25b2o6bo34b2o$9b2o4bobo23bobo6b2o5bo13bo13b2o$16bo21b2o2bo 14b2o11bobo4bo7bo$o18bo17b2o32bo5b2o7bo$2o16bobo18bo23bo10bo7b2o$2o4bo 12bo34bo8b2o8bobo6bobo$o4bobo14bo11bo19b2o18bo9bo$5b2o14bobo10b2o25bo 7b2o13b2o$22bo37bobo7bo$30bo6bo12b2o9bo5b3o6bo$14b2o9bo4b2o5b2o12bo6bo 8bo8b2o$14bo9bobo30bobo$25bo32bo$20bo24bo9bo13b4o$19b2o7b2o15b2o7bobo$ 28bobo24bo5b2o$29b2o9b2o10bo9bo14bo$39bobo6bo2bobo23b3o$39b2o6b2o3bo 27bo$25b2o9bo42b2o$26bo8bobo$22bo3bobo7bo16b2o$22bo4b2o4bo20bo19bo$22b o9bobo38bobo$22bo10bo8b2o28bo2bo$30bo12bo4b2o23b2o$29bobo17b2o$30bo19b o20b2o$25b2o43bobo$26bo5bo39bo$32b2o$49bo$38bo10b2o$37bobo10b2o$30b2o 6b2o$31bo$28b3o13bo$28bo14bobo$43b2o$36b2o$37bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
50,716-tick diehard with bounding box 87 × 86 by Grankovskiy and Yu
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 87, y = 86, rule = B3/S23 7b2o6b2o47bo9b2o$7bobo5bobo45bobo7bobo$8bobo5bo27b2o18b2o7bo$9bo34bo 27b2o$13b3o8b2o$15bo8bo5bo22bo25b2o$14bo10b3o2b2o19b3o24bo2bo$27bo22bo 28bobo$30b2o10b2o6b2o28bo2b3o$25b6obo9bobo38bo$15b2o7bo2bo4bo10bo40bo$ 14bo2bo6b2o3b3o$5b2o8bo2bo9b2o19bo$5bo10b2o30b2o5b2o$20b2o4bo29bo$19bo bo3bobo23bo$19b2o5bo23bobo$9b2o27b2o11bo$9bo29bo8bo10bo$47bobo9bo$48bo 4b2o4bo$45bo7bobo3bo$2o42bobo8bo$o44bo9b2o$42bo$34bo6bobo$34b2o6bo7bo$ 39bo10b2o$38bobo13bo30bo$39bo13bobo29b2o$36bo17bo$35bobo19bo$25b2o9bo 11b2o6bobo$26bo6bo15b2o6bo23bo$32bobo15bo9bo3b4o13b2o$15b4o14bo19b2o4b obo$30bo22bo6bo$29bobo19bobo18bo$10b2o8bo9bo20b2o10b2o7b2o$10bo7b3o6bo 6bo28bobo14bobo3bo$17bo8bobo4bo30b2o14b2o3bo$2b2o13b2o8bo5b3o3bo40bo4b 2o$3bo9bo9b2o13bobo27bo11b2o3b2o$3bobo6bobo9bo14bo14bo6bo5bobo9bobo4bo $4b2o7bo40b2o5b2o5bo12bo4bo$9bo6bo25b2o6bo34b2o$9b2o4bobo23bobo6b2o5bo 13bo13b2o$16bo21b2o2bo14b2o11bobo4bo7bo$o18bo17b2o32bo5b2o7bo$2o16bobo 18bo23bo10bo7b2o$2o4bo12bo34bo8b2o8bobo6bobo$o4bobo14bo11bo19b2o18bo9b o$5b2o14bobo10b2o25bo7b2o13b2o$22bo37bobo7bo$30bo6bo12b2o9bo5b3o6bo$4b o9b2o9bo4b2o5b2o12bo6bo8bo8b2o$4b2o8bo9bobo30bobo$25bo32bo$20bo24bo9bo 13b4o$b2o4b2o10b2o7b2o15b2o7bobo$b3o2b3o19bobo24bo5b2o$4b2o23b2o9b2o 10bo9bo14bo$2bo4bo31bobo6bo2bobo23b3o$bo6bo30b2o6b2o3bo27bo$4b2o19b2o 9bo42b2o$2b2o2b2o18bo8bobo$4b2o16bo3bobo7bo16b2o$22bo4b2o4bo20bo19bo$ 22bo9bobo38bobo$22bo10bo8b2o28bo2bo$30bo12bo4b2o23b2o$29bobo17b2o$30bo 19bo20b2o$25b2o43bobo$26bo5bo33bo5bo7bo$32b2o31bobo11bobo$49bo15b2o12b 2o$38bo10b2o$37bobo10b2o20b2o$30b2o6b2o31bobo$31bo40bo$7bo20b3o13bo$6b o3bo3bo5bo7bo14bobo$7b3o3bo2bobo2bo21b2o21b2o$8bob2o4b2ob2o15b2o28bobo $12b3ob2obo17bo29b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 640 WIDTH 640 ZOOM 6 ]]
518,476-tick diehard with bounding box 87 × 86 by Grankovskiy and Yu
(click above to open LifeViewer)
RLE: here Plaintext: here


Sawtooth-based designs

Using a sawtooth allows for the creation of extremely long-lasting diehards. On April 7, 2022, Pavel Grankovskiy successfully constructed a diehard using a sawtooth an expansion factor of 121. The pattern fits within a bounding box of 99 × 101 (just barely meeting the 10,000-cell restriction specified in the original post[4]) and lasts approximately 2.280624 × 10870 generations.[7] Further optimizations, with the help of toroidalet,[8] Dean Hickerson,[9] EvinZL,[10] Rocknlol,[11] and Adam P. Goucher[12] increased its lifespan to ~1.33616 × 101443 ticks[13] and decreased its bounding box to 94 × 98.[14]

x = 94, y = 98, rule = B3/S23 15b2o12b3o2b4ob3o3bo3b2o$14bo2bo11bob2o2bo8b2ob3o$14bo3bo7bo3bo2b2o8b 3o21b2obo3b8ob3o$15bo3bo7b2obo6bo6b2o4bo13bob2o2b3o5b3o2bob2o$16b4o5b 2obo5b2obo6bobobobo14bo3b2o3bo8b2o$16bo9bo3b2o9b2ob4o17bobob2o4bo8bo$ 16b2o8bo4bob2obo5bob3o17bo6bobo13bo3b2o$18bo6bo3bo10bo3bo13b2o3bobo2bo 3bo14b2o4bo$15bobo22b5o12bo2bo5bo5bo7bobo5bo2bo$16bo14b2o25b2o11bo9b2o 5bo3bo$31b2o5b4o2bo17b2o4bo12bo7bo3bo$28bo9bo2bo19bobo3bobo20bo2bo$22b o4bobo32bo5b2o16b2o3b3o$21bobo4bobo14b2o34b2o3bobobob2o$11b2o8bobo5bob o8b2obo2bo34bo7bo3bo$12bo9bo7bobo7b2ob2o21b2o14b3o2b2o4bo$12bobo16bobo 32bobo15bo5b2obo$13b2o3bo13bobo32bo19b3o3bo$2b2o3b2o8bobo13bobo6b2o14b 2o33bo$2b3ob3o9bo15bobo5b2o13bo2bo15b2o11bo3bo$3b2ob2o7bo5bo7b2o4bobo 20bobo14bo2bo11bob2o$14bobo3bobo7bo5bobo20bo15bobo10bobo$o2b3o2bo6bo5b o5b3o7bobo36bo12bo$2bo4b2o3bo5bo8bo10bobo5bo16bo20b2o$ob2ob3o3bobo3bob o19bobo3bobo13b3o19bobo$ob2ob4o3bo5bo21bo5bo13bo14b2o7bo$obo3b2obo5bo 27bo16b2o12bo2bo$4bo3bobo3bobo5b2o18bobo29bobo$2ob4o2bo5bo6b2o13bo5bo 31bo$bo10bo23bobo$2o4bo4bobo22b2o13bo2bo29b2o$3obobobo3bo12b2o23bo3bo 9b2o5b2o11b2o$bo3b2o2bo15b2o14b2o7bo4bo8b2o5b2o$bo2b5obo30b2o7bo4bo$3o 2b2o2bo12b2o27bo3bo11b2o$2o2bo3bo13b2o28bobo12b2o17b2o$ob4o8b2o70bobo$ 4o2bobo6bo23bo47bo$2o3bo9bobo21bo$b2o13b2o21bo4b2o43b2o$o2bobo2bo35b2o 43bobo$2bo3bo79bo3b2o$12b3o25b2o5b2o21b2o13bobo$2bo5bo31b2o5b2o21b2o 14bo$2bo5b3o72bo5bo$2bo8bo70bobo3bobo$10b2o71bo5bo$65bo20bo$52b2o6bo3b obo4b2o12bobo$2bo49b2o5bobo3bo4bo2bo12bo$o48bo10bo10b2o$obo3b2o10b3o 12b2o13bobo$o5b2o8b2ob2o8b3obobo13bo31b2o4b2o2b2o$o15b2ob2o11bo2bo19bo 25bo5bobo2bo$3b2o12b2o9bo24b3o6b2o9bo9bo5bobo$3b2o47bo10bo8bobo7b2o5b 2o$52b2o9bobo5bobo6bo3b2o$41b2o21b2o4bobo7b4o2bo$33b2o6b2o17b2o7bobo3b 2o6bob2o$26b2o5b2o24bo2bo5bobo4b2o3b2obobo$26b2o10bo20bo2bo4bobo10b2ob obo$37bobo20b2o4bobo14bob2o$23b2o5b2o6bo26bobo15bo$23b2o5b2o32bobo14bo bo$34b2o29bo15b2o$3bo29bobo26bo11b2o9b2o$33b2o13b5o8bobo11bo9bo$2ob3o 41bob3obo8bo7b2o3bob2o4bobo$2o2bo2bo40bo3bo17b2o2b2obo2bo2b2o$o6bo21b 2o13b2o3b3o5b2o7b2o9bob2o$2o2bo2bobo11bobo4bobo13b2o4bo6b2o7b2o2b2o5bo 5b4o$2bo4bo14b2o4b2o31b2o7bo5b2o4bo3bo$3bo2bobo13bo32bo5bo10bo8bobo$5b o41b2o5bobo5bo8b2o9b2o$2bob3o3bo37bo6bo5b2o$4bo5bo28bo5b3o4bo5bo$3bo3b o2b2o9b2o15bobo4bo5bobo3bobo5b2o$12bo7bobo16bo12bo5bo6b2o$12b3o5b2o27b o5bo$39bo8bobo3bobo$38bobo8bo5bo3b2o$15bo22bo2bo3bo6bo6bobo$14bob5o18b 2o3bobo4bobo7bo$13b2o5bo23b2o6bo8b2o12b2o$13b2o3bo2bo52bobo$21bo53bo$ 15b2obo2bo26bo$18bo2bo25b2o2bo$19b2o7bo20bo3bo2b2o$19b2o6bobo15b2o4bo 4b2o$27b2o20b2o20bo$46b2o5bo17bo$44bo4bo3bo9bo7bo$17b2o7b2obo18b2ob2ob o7bobo$18bo4b2o2b4o16b2ob2o2bo6bo2bo$17bobo2bo8bobo13bo6b2o6b2o$17bo2b 2obo2bo3bo2bo8bo2b2o5b2o$18b3obo2b3ob7o5b9ob5o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 700 ZOOM 6 ]]
94 × 98 exponential diehard by Grankovskiy et al.
(click above to open LifeViewer)
RLE: here Plaintext: here

On April 9, Grankovskiy posted a concept for a pattern whose lifespan is measured via tetration, the next hyperoperator after exponentiation. Originally posted in the form of a methuselah,[15] the diehard version was completed on April 11.[16] With optimization by Tanner Jacobi[17] and toroidalet,[18][19] its lifespan is somewhere between 1510 and 1610 ticks.[20]

x = 111, y = 90, rule = B3/S23 21b6o23b8obo$19b10o21b2obobo4b3o24b2o15bo$21bo4bo26bo3b2o28b2o8bo6bo$ 43b2o13b2o2bo34b2o5bo$44bo12bo40bo8b2o$44bobo6b2o3bobobo21b2o21bobo$ 45b2o6bobo28b2o22bo$56bo7b2o$39b3o11bo2bo7b2o21b2o8bo$30b2o6b3o15bo30b 2o6b3o4b2o$30b2o13bo7bobo38bo7b2o$44bobo6b2o39b2o$45bo$23b2o17bo5bo50b 2o7b3o$23b2o6bo9bobo3bobo18bo30b2o6bobo$31b2o7bobo5bo3b2o13bobo37bo$ 31b2o6bobo3bo6b2o14b2o32bo2bobob2o$32bo5bobo3bobo9bo5b2o22bobo13b2o3b 2obo$37bobo5bo9bobo3bo2bo23bo17bobobo$36bobo17bobo3b2o20bobo21b2o$35bo bo19bobo24bo23bo$34bobo21bo24bobo$33bobo6b2o5b2o4bo27b2o$21b2o3b2o4bob o7b2o5bo4bobo3b2o20bo$22b5o6bo13bobo5bo4bobo20b2o$22b2ob2o20b2o12b2o 13b2o6bo$22b2ob2o10b2o37b2o$23b3o4b2o5b2o$30b2o23b2o22b2o$55bo23b2o$ 42bo10bobo13b2o$41bobo9b2o14bobo13b2o$21b2o4b2o5b2o4bob2o26b2o4b2o6bob o4b3o$22bo4bobo4b2o3b2ob2o22bo9b2o6b2o5b3o$19b3o6b2o10bob2o21bobo13bo 8bo3bo$19bo21bobo22bo6bo6bobo8b5o10bobo$31bo10bo29bobo4bobo10b4o11b4o$ 30bobo39bobo3bobo24bob2o$25b2o4bobo39bo5bo6bo18bo4bo$27bo4bobo25b2o8bo 5bo7b3o18b3ob2o$24bo8bo25bobo7bobo3bobo5bo7b2o13b3obo$25b2o31bo2bobo6b o5bo6b2o6b2o12bo3b2o$43bo14b2o2b2o3bo5bo33bobo$20bo16b2o3bobo10bo10bob o3bobo12bo17bo2bobo$20b3o8bo5b2o4bo10bobo10bo5bo7bo5bo18bobo$23bo7b2o 22bo8bo5bo9b3o4bo$13bo8b2o7b2o9bo20bobo3bobo7bo3bo8bo$12bo6bo12bo9bobo 19bo5bo7bob3obo7bo$12b3o3bobo6bo14b2o17bo5bo11b5o8bo$17bo2bo6b2o31bobo 3bobo$17bobo7b2o32bo5bo$18bo3bo5bo35bo$21bobo39bobo$21bo2bo39bo$22bobo 47bo25bo$12bo10bo22bo25b3o23b2o$12bobo4bo25bobo27bo23b2o$5bo6b2o5b2o 24b2o5bo21b2o15b2o$4bo14b2o30bobo29b2o6b2o$4b3o13bo31bo3b2o25bo$15bo9b o29bobo26b3o$15b2o7bo2bo14bo12b2o29bo7b2o$15b2o4b2obo2bo14b2o7bo42b2o 9bo2bobo$16bo5bo5bo13b2o6bobo53bobobo$11bo11b5o15bo7b2o38b2o14bo$11b2o 11bobobo62b2o17bo$11b2o11b5o79bo$o11bo12bo7bo72b2o2bo$obo4bo18b4o75b3o b2o$2o5b2o18bo3b2o19bo7b2o5bo37b2o3bo$7b2o4bobo17bo17bobo5bobo4bobo36b obob2o$8bo4b2o19bo2bo14bo6bo6b2o38bo$o13bo20bo13bo8b2o45b3o2bo$b3obo 29bo12bobo54b2obobo$bo2b2o43bo5bo$4bo31bo17bo2bo15bo$ob2obo30bob2obo4b 2o6bo2bo5b2o3bo4b2o$2o33b2obobob2o2b2o8bo6b2o2b2o5b2o$o35bob3o27b2o4bo 26b3o4bo$bobo33b2obo3bo6b2o16bo3bo26bo2bo4b2o$38b3ob2o6bo2bo46bo2bo2bo bobo$40bo10bo2bo52b2obo$41b2o4bo4b2o51bobob2o$9b4o29bo3bo2bo6b2o7bo2b 2o23bo13bo$9bo3bo2b2o2b2o3bo20bo2bo5bo2bo4b3o2b2o2bo16bob5o3b2o5b2obo$ 9bo6b3o4bo10b2obobo2bo5bo5bo2bo8b2o2b3o18b2ob2o4bo4bob2obo$10bo4b4obo 2bo11bobo3bo13b2o9b2o2b3o19b2o2b2o11bo$15b2obobobobo10bo4b2o3b2o19b2o 6bo2bo9b2o2b2obo14bo$16b10o10b3o2b2obo22bo6b3o10bo3b2ob6o2bo$35b9o2bo 41bo2bo3b5o2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
111 × 90 tetrational diehard by Grankovskiy et al.
(click above to open LifeViewer)
RLE: here Plaintext: here

On July 9, 2023, EvinZL proposed adding loaf-making fuse to increase the lifespan of the methuselah by extending power tower length,[21] based on the original idea of Tanner Jacobi.[22] In a flurry of activity that followed after, toroidalet, Adam P. Goucher, Pavel Grankovskiy and EvinZL pushed the number of loaves from 15[23] to approximately 3.52 × 1048[24], with the latter improvement based on idea by Adam P. Goucher to use gliders from exponential part of diehard to ignite the fuse.[25] This was subsequently improved to 1.1 × 101046[26][27].

x = 109, y = 91, rule = B3/S23 18b8o20b12o4b5o2bo15b2o15bo$19bo4bo22bo3b2o8b2obob4obo13b2o8b2o5bo$41b 2o4bo4b2o9b4o27bo2bo4bo$42bo4b2o46b2o8b2o$42bobo8bo3bo24b2o21bobo$43b 2o3bob2obo2bo25b2o22bo$48b2o6b3o3b2o$37b3o8b2o12b2o21b2o8bo$28b2o6b3o 46b2o6b3o4b2o$28b2o13bo9b3o36bo7b2o$42bobo8bo38b2o$43bo8b3o$21b2o17bo 5bo4b2o7b2o35b2o7b3o$21b2o6bo9bobo3bobo4b2o6b2o4bo30b2o6bobo$29b2o7bob o5bo2bobo13bobo37bo$29b2o6bobo3bo22b2o35bobob2o$30bo5bobo3bobo6bo2bo5b 2o20bo2bo19b2obo$35bobo5bo6bo2bobo3bo2bo21b4o9bo6bobobo$34bobo13bo3bob o3b2o19bo13b2o9b2o$33bobo19bobo24b2o2b2o8b2o8bo$32bobo21bo45b2o$19b2o 3b2o5bobo6b2o5b2o4bo28b2o17bobo$19b2o3b2o4bobo7b2o5bo4bobo3b2o21b2o18b o$20b5o6bo13bobo5bo4bobo21b2o4b2o10b2o$21bobo21b2o12b2o13b2o14bo$35b2o 37b2o11bo$21b3o4b2o5b2o51b2o$27bobo23b2o22b2o14bo8b3o$27b2o24bo23b2o 13bo2bo$42bo8bobo13b2o23bo2bo$40bobo8b2o14bobo13b2o9bo$19b2o11b2o4b2o 28b2o4b2o6bobo$20bo5bo5b2o4b2o24bo9b2o6b2o5b2o$17b3o5bobo10b2o23bobo 13bo9b2o$17bo8bobo11bobo11b2o8bo6bo6bobo23bobo$27bobo12bo10bobo14bobo 4bobo12b2o11b4o$28bobo22bo16bobo3bobo13b2o9bob2o$23b2o4bobo5bo14b2o17b o5bo6bo18bo4bo$25bo4bo5bobo6b2o11b2o8bo5bo7b3o18b3ob2o$22bo14bo6bobo 10bobo7bobo3bobo5bo7b2o13b3obo$23b2o19b2o3b2o5bo2bobo6bo5bo6b2o6b2o12b o3b2o$30bo10bo6bobo5b2o2b2o3bo5bo33bobo$29bobo8bobo5b2o3bo10bobo3bobo 12bo17bo2bobo$30bo10bo10bobo10bo5bo13bo18bobo$16bo28b2o6bo8bo5bo9b3o4b o$16b3o26b2o14bobo3bobo8b3o9bo$19bo21bo20bo5bo8bo3bo8bo$18b2o20bobo16b o5bo24bo$b2o8b2o9b2o17b2o15bobo3bobo9b2o3b2o$5o6b2o8bo2bo8b2o24bo5bo$ 2ob2o16bobo3b2o3bobo21bo5bo$5b3o14bo3bobo3bo22bobo3bobo7bo$2o2bo3bo17b 2o3b2o17bo5bo5bo7bobo$2bo2bo5bo3b2ob2o16bo13b3o6bo11b2o23b2o$9b4o2bo3b o15bobo6bo8bo4bobo34bo2bo$b4o3bob3o3b3o17bo6bobo6b2o5bo36bobo$bo5bo4b 2o29b2o11bo32b2o6bo$4b3ob2o21bo5bo9b2o6bobo23b2o6b2o$2o3bo2bo2bo4b3o3b 2o6bobo3bobo8b2o7bo19bo4bo$ob3o3b2ob2o2bo3bobobo5bobo5bo37bobo4b3o$2o 2b2ob2o2b2o2b2ob2ob2o5bobo45bo7bo7b2o$o2b3o5bo17bo16bo45b2o9bo2bobo$2o 3bo2b2o3bo12bo5bo5bo6bobo56bobobo$o5b4o15bobo3bobo4b2o6bo9b2o4bo16b2o 8b2o14bo$2obo5bobo14bo5bo5b2o3b3o9bobo3bo2bo14bobo7b2o17bo$o3bob2o3bo 17bo9bo3bo11b2o4bo2bo3b2o11bo24bo$bo7b2o17bobo16b2obo12bo4bo12bobo20b 2o2bo$b3ob2o8bo13bo3b2o13b3o2b3obo2bo8b3o10b2o19b3ob2o$3bo4bo5bo2bo4b 2o9bo19bo2b2o2bo4bo6bo30b2o3bo$b2o2bo3bob2obo2bo4bobo9b3o6b2o4bob2obob o2b3o2bobo4b2o31b2ob2o$obo2b3o4bo5bo4bobo10bo5bo3b2ob3o3b2o3b2o2b2o13b 2o23bo$2ob3obo5b5o6b2o7bobo9b3obo10bo18b2o22b3o2bo$2ob2o2bobo4bobobo 14b2o4bo3b2ob3o2bo2b2obo2bobo40b2obobo$14b5o12b2o5bobo5b2o5bo5b2obo$ 15bo7bo5bo2bo6bo6bob2ob2o2b2o4bo5bo$16b4o9b2o5bo10bob2o6b2o2bo4bobob2o $17bo3b2o12bobo11bo2bo2bo3bob2o2bob3ob2o24bobobobo2bo$23bo12bo9b2o3b3o 5b2o5b6o27bob2o2b2o$24bo2bo5bo12b2ob5obob3o10bo31b2o2bobo$25bo6bobo12b 3o10bobo34bo2bobo5bo$25bo7bo12bo4bo2bo2b2o3bo35b3o2b3o2bo$40bo2bo2bobo bobobo2b2ob2o38b3o4bo$26bo9b2o6bo4bobobo3b2ob3o36b4o4b2o$26bob2obo4b2o 2b3o4bob2obo3bo4bo6bo19b2o7b5o3bob2o$25b2obobob2o8bo2bobobo5bo5bo5b2ob o17b2o8bobobo5bo$26bob3o10b3obo4b3ob2o3bobo5bo34b2o$27b2obo3bo5b2o5bo 3b3obobo2bob2o3b3o3b2o10b2o5b2o7bobob3o$28b3ob2o6b2o2b2o2bo2bobo3bo4b 2o5bob5o9b2o5b2o6bob7o$30bo11b2obo7bo3bobo3b2o6bo3bo24b2ob2obo$31b2o7b 2obob2obobobobob2o2bob3o7b3o20b2o$32bo7b3o4b8o5bob2o8b3o20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 670 WIDTH 760 ZOOM 6 ]]
109 × 91 tetrational diehard with a lifespan exceeding 10104610.
(click above to open LifeViewer)
RLE: here Plaintext: here

References

  1. ↑ Dean Hickerson (April 7, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  2. ↑ Dave Greene (March 31, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  3. ↑ Dave Greene (March 31, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  4. ↑ 4.0 4.1 squareroot12621 (March 30, 2022). (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  5. ↑ Pavel Grankovskiy (March 31, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  6. ↑ Jiahao Yu (March 31, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  7. ↑ Pavel Grankovskiy (April 7, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  8. ↑ toroidalet (April 7, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  9. ↑ Dean Hickerson (April 7, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  10. ↑ EvinZL (April 9, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  11. ↑ Rocknlol (April 10, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  12. ↑ Adam P. Goucher (April 10, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  13. ↑ Dean Hickerson (April 10, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  14. ↑ toroidalet (April 10, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  15. ↑ Pavel Grankovskiy (April 9, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  16. ↑ Pavel Grankovskiy (April 11, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  17. ↑ Pavel Grankovskiy (April 11, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  18. ↑ toroidalet (April 13, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  19. ↑ toroidalet (August 2, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  20. ↑ Brett Berger (April 17, 2022). "Telling the tale of two tetrations". a blog by biggiemac42. Retrieved on April 17, 2022.
  21. ↑ EvinZL (July 9, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  22. ↑ Tanner Jacobi (July 25, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  23. ↑ toroidalet (July 18, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  24. ↑ Adam P. Goucher (July 19, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  25. ↑ Adam P. Goucher (July 18, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  26. ↑ Adam P. Goucher (July 23, 2023). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums
  27. ↑ "Miscellaneous discoveries". Complex Projective 4-Space. Retrieved on May 23, 2023.
  • Pavel Grankovskiy (April 12, 2022). Re: (Engineered) diehards (discussion thread) at the ConwayLife.com forums (analysis of the tetrational diehard's total runtime)
Retrieved from "https://conwaylife.com/w/index.php?title=Engineered_diehard&oldid=136999"