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105x105x105 Rubik's cube solve attempt

Ellsming

Member
Joined
Feb 7, 2013
Messages
35
Non-cuber: "Wow! I bet a cube that big has over a million combinations!"

Well, technically they wouldn't be wrong...

Out of interest and my desire for big numbers, who wants to find out how many digits there are in the number of possible combinations of that... that monstrosity? I don't even know what to call it. I refer to my 8x8 as a behemoth, so I don't think any number of words could do that little treasure justice.
 

soup

Member
Joined
Mar 12, 2012
Messages
302
Location
Top Kek
YouTube
s16269
Non-cuber: "Wow! I bet a cube that big has over a million combinations!"

Well, technically they wouldn't be wrong...

Out of interest and my desire for big numbers, who wants to find out how many digits there are in the number of possible combinations of that... that monstrosity? I don't even know what to call it. I refer to my 8x8 as a behemoth, so I don't think any number of words could do that little treasure justice.
42370 digits..
 

aronpm

Member
Joined
Sep 9, 2009
Messages
2,010
the full number (i hope that it is correct because i calculated it by hand and i dont want to do it again)
25012353780704966083734611994960539750591200306904812045681204192838883214522978877362907851878751428756559358720475927688198603306435650047595870643881033603699984688538688170315458067224686393044146724740911777869658543236880288293123140495954670295802443495903652515967791708633529153848375424741814860686861117450942650065119506345670367000191814575813481691401860711397911587657122293148451467123854060609490617735031465815223596820839750047982493127668097723203112401400065490824679232510222063429216912559849955915975094921835598823748033629167251692332562531148655445396564413802419660657021444142231857307954868539821448791939917324492541994409671222115738986221744313433060351513686850838009379632292601255709033525901821755029663072536839863520011226792553665674395340984544193733109976258373518923434148799467218411373460160039051021842842893234877264979203902978002299442008486708438605254405774893967082106001746477886288333723426081258980552982707467746944384301547406718644108919430958051469699846852327017016707822382792750788841821794175347295015744545562100025671890224658532923025781400030708876192740328256297405125348478759165969445698127489149914988386544929192850451186956614309657735910968484690446494456027172655409591428360837996801815460437480144025344867206609101339214077069257910565786215555182863523274689994174666017688432237284402800230117936559657212075363104075056608565599020296111137754269590768347785027086327750364718535619732723988280937889996700130984068951875831264730777479055009779347107210308445030570747629230988577863543176087043424433163669544054794279006554072754120991397697138506756153517538398229674157390686757138775459386185249859714707928587494724467009855391188234585855679036522059315479025191500776664306085495687771372380898799637867746849246338947615704094297559568208110626459229706472552847030761973194451978107462814297133965294542311002418901742113907896382505603913249023266966903257214152561389111332734342127809768095459635791401735728978241655857020827119194476308889957644327450714146204234780169858824114743612152474984914460432120516159444277432934869906669021030551779764863241606686719242415663526743227019718698719490681394697448955682827196981239839153948706881907037972106887918692010055044020364498459308896344256609015987325546720978370099706289269732960730696768270312272226541240321438682947308262126402387658675454736594922829772360369867640040873449109280740682017837362809848755080546445899661597350013422553858088574180889792887733984299582160256099837406250670839319775616405643465966690141803471911713041178071517314693184587365588216509901893583157743256159899053634079553595153208292778968899861138312476502165118139405095802334635136266307007353180842199448526976298696404563410487751371965688477893019610752241283815978287214405609621679581429778510628756719426961537583700940036414039461737240945265782404520878687457168107773415059568103395121810992033583131224519060622192508001906374500741123955358965354580715362038379484858981417572929821260810753555791129604084758633857880489298490028056236471987497143086072032175678311464698300352744204958486591763093310942440890629368448371442019063417825014942237486957167675544407380344608183579453281009634360814349715894715654904374622482400188957883361884656142741770239950832121936097464043204166350467187055431601148465828143317576922003069189814213534506998812759159164327619025722787040908119799489555076060032364431525289403078643579690908921097648388876688544341899855890294071592748875289507347747623838933803987791645469268906773404254378288643136667272688616002667708560242929772680998614180946734242408099327422913413476670924090234558803013205338104948263298538965761480762635679864451428995819481835305459237382491813320563483879219004271237552604773949480582562049978476721322276890150418895084793849065085183255767137708547613495236034918936666764133603711023266997070003724468561865638399924580750131501477963549269817030024083570861390082550646023530727271292871807090380480031638888047329803700230724716051963229577167649811106489692681966696492091106421036712447101288498432778676076170758258119624649664842265473639366258801031461967887703839376129130671401123435561785379300083951926720410863923623145129268630575958135300290383352566009949770219538625576164708420769943629481854679110825024085330645439904459077243626534378358052877712581699172053486818880010452334821669235823016959342017387811854415485440325276736297234883455626302122227104769488957976038726790607857951215500741975741428411858764207706462435660894100397036164748546377848500301251394500602490733310644524958430315020961391803164485471068509911482393187544336579096040993095756035273271387029207411124831885874200782540056936702830681927826060266434124793821602807217671494592496832851517551995535976783732815490906398871044417513835592612314026632695266840672329192524272038724729554300564588656332452536253502657297714947625657376260416324722160499307923590982363149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Last edited:

cxinlee

Member
Joined
Jan 26, 2013
Messages
226
Location
Singapore
WCA
2013XINL01
YouTube
jellytheawesomecat
the full number (i hope that it is correct because i calculated it by hand and i dont want to do it again)
25012353780704966083734611994960539750591200306904812045681204192838883214522978877362907851878751428756559358720475927688198603306435650047595870643881033603699984688538688170315458067224686393044146724740911777869658543236880288293123140495954670295802443495903652515967791708633529153848375424741814860686861117450942650065119506345670367000191814575813481691401860711397911587657122293148451467123854060609490617735031465815223596820839750047982493127668097723203112401400065490824679232510222063429216912559849955915975094921835598823748033629167251692332562531148655445396564413802419660657021444142231857307954868539821448791939917324492541994409671222115738986221744313433060351513686850838009379632292601255709033525901821755029663072536839863520011226792553665674395340984544193733109976258373518923434148799467218411373460160039051021842842893234877264979203902978002299442008486708438605254405774893967082106001746477886288333723426081258980552982707467746944384301547406718644108919430958051469699846852327017016707822382792750788841821794175347295015744545562100025671890224658532923025781400030708876192740328256297405125348478759165969445698127489149914988386544929192850451186956614309657735910968484690446494456027172655409591428360837996801815460437480144025344867206609101339214077069257910565786215555182863523274689994174666017688432237284402800230117936559657212075363104075056608565599020296111137754269590768347785027086327750364718535619732723988280937889996700130984068951875831264730777479055009779347107210308445030570747629230988577863543176087043424433163669544054794279006554072754120991397697138506756153517538398229674157390686757138775459386185249859714707928587494724467009855391188234585855679036522059315479025191500776664306085495687771372380898799637867746849246338947615704094297559568208110626459229706472552847030761973194451978107462814297133965294542311002418901742113907896382505603913249023266966903257214152561389111332734342127809768095459635791401735728978241655857020827119194476308889957644327450714146204234780169858824114743612152474984914460432120516159444277432934869906669021030551779764863241606686719242415663526743227019718698719490681394697448955682827196981239839153948706881907037972106887918692010055044020364498459308896344256609015987325546720978370099706289269732960730696768270312272226541240321438682947308262126402387658675454736594922829772360369867640040873449109280740682017837362809848755080546445899661597350013422553858088574180889792887733984299582160256099837406250670839319775616405643465966690141803471911713041178071517314693184587365588216509901893583157743256159899053634079553595153208292778968899861138312476502165118139405095802334635136266307007353180842199448526976298696404563410487751371965688477893019610752241283815978287214405609621679581429778510628756719426961537583700940036414039461737240945265782404520878687457168107773415059568103395121810992033583131224519060622192508001906374500741123955358965354580715362038379484858981417572929821260810753555791129604084758633857880489298490028056236471987497143086072032175678311464698300352744204958486591763093310942440890629368448371442019063417825014942237486957167675544407380344608183579453281009634360814349715894715654904374622482400188957883361884656142741770239950832121936097464043204166350467187055431601148465828143317576922003069189814213534506998812759159164327619025722787040908119799489555076060032364431525289403078643579690908921097648388876688544341899855890294071592748875289507347747623838933803987791645469268906773404254378288643136667272688616002667708560242929772680998614180946734242408099327422913413476670924090234558803013205338104948263298538965761480762635679864451428995819481835305459237382491813320563483879219004271237552604773949480582562049978476721322276890150418895084793849065085183255767137708547613495236034918936666764133603711023266997070003724468561865638399924580750131501477963549269817030024083570861390082550646023530727271292871807090380480031638888047329803700230724716051963229577167649811106489692681966696492091106421036712447101288498432778676076170758258119624649664842265473639366258801031461967887703839376129130671401123435561785379300083951926720410863923623145129268630575958135300290383352566009949770219538625576164708420769943629481854679110825024085330645439904459077243626534378358052877712581699172053486818880010452334821669235823016959342017387811854415485440325276736297234883455626302122227104769488957976038726790607857951215500741975741428411858764207706462435660894100397036164748546377848500301251394500602490733310644524958430315020961391803164485471068509911482393187544336579096040993095756035273271387029207411124831885874200782540056936702830681927826060266434124793821602807217671494592496832851517551995535976783732815490906398871044417513835592612314026632695266840672329192524272038724729554300564588656332452536253502657297714947625657376260416324722160499307923590982363149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You did this with a handheld calculator?
 

peterbone

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Yes, that's exactly what I was quoting. I linked to the same videos a couple of pages back. The same guy contacted me for developing my simulator to help with solving large cubes. I think he has some useful ideas. It may seem like the first stage adds a lot of moves but it saves a lot later on and also relies less on trial and error.
 

Kirjava

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What method are you going to use? Comms for edges will make finding pieces a lot faster.

If you do this and use block comms, you'll get a lower movecount.
 

qqwref

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For huge cubes, freeslice is actually really nice (for the first 8 edges anyway). If you are building an edge with e.g. blue on L and white on F, then after you insert an edge into FR, all you have to do is move all the pieces with blue on F and white on R over. The recognition for commutator FxL is pretty good too, but you still have to put together four edges, so why not just go all the way?

I won't deny that L4E can be pretty icky, but then again, so can ELL on huge cubes.
 

qqwref

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I don't understand you
Well, how are you going to put those first four edges together? You don't want to build them Yau/K4 style because it's hard enough building these massive centers without also having to make sure you don't mess up the three edges you already put together. So you're probably going to end up using something like freeslice to build those first four edges, in which case you might as well just do eight of them that way.

Actually, ELL gets more efficient the larger the cubesize used.

For example, while L2E on 4x4x4 requires 1 alg, 7x7x7 only needs 2.
Doesn't 4x4x4 have one wing group whereas 7x7x7 has two? I guess if you're talking about solving midges at the same time it's more impressive to do 7x7x7 L2E in two algs, but you really ought to be solving the midges along with the corners for any kind of odd cube LL. And I think you can do the same kind of paired-wing-group tricks for freeslice L4E as for ELL. I'd actually say they have similar characteristics in terms of efficiency and scalability.
 

Kirjava

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Well, how are you going to put those first four edges together? You don't want to build them Yau/K4 style because it's hard enough building these massive centers without also having to make sure you don't mess up the three edges you already put together. So you're probably going to end up using something like freeslice to build those first four edges
This was my intention!

in which case you might as well just do eight of them that way.
I don't see why doing the first four this way makes doing the latter four the same way better than an alternative.

Doesn't 4x4x4 have one wing group whereas 7x7x7 has two? I guess if you're talking about solving midges at the same time it's more impressive to do 7x7x7 L2E in two algs, but you really ought to be solving the midges along with the corners for any kind of odd cube LL.
Nope.

You would propose doing 2 algs for corners and midges, instead of doing 1 alg for corners and solving midges for free during other algs.

And I think you can do the same kind of paired-wing-group tricks for freeslice L4E as for ELL. I'd actually say they have similar characteristics in terms of efficiency and scalability.
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qqwref

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I just had a weird thought. On a sufficiently large cube, in either L4E or ELL, every possible case is almost guaranteed to occur. Which means that for each step (e.g. first edge, second edge, last two edges) you can literally just do every alg in a row, applying it to the wing groups with that case on them. That would mean each additional layer only adds a really small number of moves... just the number of extra slices you have to do to include those groups in your L4E/ELL algs.

You would propose doing 2 algs for corners and midges, instead of doing 1 alg for corners and solving midges for free during other algs.
Aha. What's your technique for solving midges for free during other algs? Can you give some examples?

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Whee! More than one good method! I love when that happens.
 
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