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Original link:

https://www.youtube.com/watch?v=jQEX1ejhXyQ

2023-08-15 21:02:31

they put SUDOKU on a RUBIK'S CUBE...

video content Image generated by Wilowrid

Some sicko out there .

Decided it was a good idea to put Sudoku on a Rubik's cube and now it is my job to solve it .

Welcome back to another episode of Torture .

This is insane .

It never looks like it gets any more or less solved .

And the only thing that makes this worse is it's not even a good cube .

I have been spoiled by speed cubes .

Sudoku is a puzzle with a nine by nine grid and in each three by three grid , you have to put all the numbers one through nine , but also every row can only have each number once and same for every column .

This makes for a fun deduction puzzle and it can actually be pretty relaxing unless you're speed running it or doing a variation of it .

Wait , that sounds exactly like cubing .

And if we have Sudoku on a cube , I mean , what's next mine ?

Sweeper chess , Fortnite so much like a beginner cuber .

I'm going to see if I can make my first face and just ignore the rest .

I mean , that should be pretty easy , right ?

We have 12 , no , three .

Uh We have two sevens .

video content Image generated by Wilowrid

So let's get rid of one of those for a three .

There we go .

And , uh , 12345 .

we need a six .

We take at six .

Wait , these two are both 60 , the nine has a line underneath it .

Ok .

Well , we'll just do this and there we go .

123456789 .

This is my first Sudoku face which looks terribly unsatisfying because they're all facing different directions .

Yeah , once this is solved , aren't they all going to be facing the same direction ?

I mean , I don't actually know that for a fact , I don't know what the solved state looks like , but I think I can safely assume that and that would make this much easier .

I'm going to start by looking at the centerpieces .

We have two ones of 4 to 65 and 72 ones .

What can I do with that information ?

video content Image generated by Wilowrid

Normally the beginner method I would go layer by layer and solve the whole thing , but because there are two ones sharing this area right here , then I probably want to solve this two by three by two block right here .

And I think deducing this area would be easier than deducing the rest of the cube .

And if I get this area done , I'm pretty sure the rest would be easy .

Oh , I actually have no idea how to get started .

First of all , I want a piece between the one centers but how am I supposed to know out of all the pieces if it is the correct piece ?

I mean , I know it's not a piece with one on it .

So it's not this one , but it could be this one .

It could be this one flipped .

It could be any of the other ones or any of the other ones flipped .

Ok .

There might be a smarter way , but I am going to do this .

I'm going to look at all of the edge pieces and just to make sure I don't do anything wrong .

I'm going to go in order , I'm going to go in order of the small two numbers of two and four .

video content Image generated by Wilowrid

I'm going to put that in between the one and one first like that .

All right .

So this two and four , I don't actually know if it goes in here or if it goes flipped because the thing with the centers is like this doesn't look right , but you can always turn the centers .

So now this , this both looks right .

I'm going to see if I can find the corresponding corner pieces and if I can , I'll see if I can find the pieces that go there that all fit the orientation and fit the restriction of no duplicate numbers on the same side .

I'll run through this example and you guys will see what I mean .

So I need uh this is gonna be so hard to find , I need a piece uh that's like oriented this way and oriented this way .

So annoying as I go around the cube , I have to keep my fingers here or I will absolutely lose which ones I have already checked .

OK .

This 1524 , we have this at the bottom left orients correctly and this one orients this way , put that here .

124 and 521 .

And you know what , I think I got lucky .

video content Image generated by Wilowrid

This one right here also works because the orientation of the nearby pieces do match .

OK .

So what have I solved so far ?

I have solved these four pieces and matched it to this center , right ?

And which also means this part because they're shared from these pieces .

But I don't know for sure that this is correct .

No , I , I just lied this four , I forgot to match it to the center next to it .

OK ?

So that means that this piece actually doesn't go here because that will never work and the center cannot move .

OK ?

Time to look at every corner again .

OK ?

I believe I have checked every other corner and none of them satisfy the criteria of this one points up this one points this way .

So my assumption that the two and four is in the correct spot is now proven wrong because there's no possible corner that can go right here .

That means the two four is not solved right here .

And the first thing I will try next is to flip it for the next while I spent a lot of time trying to figure out this two by two by three block .

video content Image generated by Wilowrid

And eventually I had one corner left to go in order to solve this block .

Then I ran into a problem .

The only corner that could possibly go there based on the orientation of the numbers .

It had a one on the side with a one center , oh no , 11 , the only corner that can possibly go here has a conflict with the one .

But what I do know now I actually discovered something is that these two corners do belong in this specific orientation next to each other .

Because this 52 requires something like this 31 to match their orientations .

There's only one corner on the entire cube that can do this next to the 52 .

Every other corner cannot be placed here in a way such that the three , the this number matches the five and this number matches the two in terms of which way they're facing .

video content Image generated by Wilowrid

I'm just going to have these two as solved and try to solve the rest of the corners and completely ignore the centerpieces because how am I supposed to know ?

But the fact that the centers can rotate means there's no way I can know where these go .

So I just have to solve these relative to all the corners .

And maybe I should have done this from the start .

But this is why you just start by doing something because a lot of the time you gain insight from your adom little experimentation .

So these two corners are solved relative to each other .

And I just have to do the exact same thing I did last in order to solve the rest of the corners .

So here 54 , right next to it , I need two pieces that when placed at the bottom , right , this one and this one face the same way , just like the five and the four .

And I've noticed this two does work .

So what we're gonna do is rotate it a bit , uh rotate again .

That was wrong .

And here we have the two eights both pointing this way , 54 , both pointing this way .

video content Image generated by Wilowrid

So these three corners are now solved relative to each other .

So yeah , I just need this one to be oriented upwards just like the three and just like the five and eight .

And I need this one to be oriented downwards just like the seven over here .

This is now in the correct spot .

I have four corners that are definitely in the correct spot relative to each other .

And now we go on to the last four corners .

All right , I've noticed an issue .

I don't know if later turns mess this up or if I mess it up in the first place .

But these are the four corners on one side that I've solved .

And the numbers on the side for just the corners , they all match up in orientation except for that five .

I figured either this one was wrong or this one was wrong .

And I managed to find a replacement for this one which is gonna be uh the 46 right here .

Ok .

Great , great .

So the four now matches that the six matches this one and then nine matches this one .

So everything has been resolved , actually notice something .

This is , well , that's upside down .

video content Image generated by Wilowrid

So this is a nine , this is a six and they're oriented the same way and you're this one and three , you're oriented the same way and the seven ones oriented the same way and the two fours oriented to the same way .

OK .

So that is a very , very convenient .

So for the last layer , let's get them all oriented correctly .

This one needs to be like that , right ?

So that these two that are oriented the same way go along uh this side , which means this one belongs on top .

I'm doing now this one , this one , uh this one and must be this one .

Yep .

So this is the oll I have here is where the yellow corners would be if that was an oll .

Uh let's do it like this .

And now everything on the side should all be oriented downwards just like the other side .

But at the top , as you can see , this is not correct orientation .

video content Image generated by Wilowrid

Well , if I move the one and the two swap and if I get the seven and nine to swap , then I think they would all be oriented correctly .

So we can do like we , we can do like a Y perm .

Any diagonal corner swap should work .

Ok .

There we go .

1279 .

So that's how it works on top .

And I just need uh everything on the side to work .

Two nines on the same side that's not gonna work .

So there are four ways I can move the top .

So I'll try this one and see if there are any corner conflicts .

Uh There seems to be none , but that doesn't give me a lot of confidence .

I'm gonna keep moving it and see if there are conflicts .

Six and six .

Here's the last possible way I can have this on the top .

OK .

Four and four .

That's a conflict , which means this , let me just check this again .

So this is uh 46989156 , just looking at the corners 3784 and 1265 .

All right .

video content Image generated by Wilowrid

At every point , I basically only had one option of what to do next .

Which means I can pretty confidently say that this uh configuration of corners must be correct .

All right .

I'm so happy with my progress .

Every single corner uh for this cube is solved .

We're just doing a quick check right here .

If I ever mess up , I can use that video right there to put it all back .

And I have had so much help from the orientation of the numbers .

And while you might call that cheating , I call that the designer of this puzzle was not that bad of a person and actually made a mechanic of all the orientations being the same for every single side .

And that makes this thing actually solvable .

Otherwise I would not attempt it .

I kind of want to try something with the centerpieces .

So I noticed earlier there's two ones next to each other and I want to see if there's a unique spot they must be put in .

So this side has a one which means it doesn't have a one centerpiece and this side has a one and uh this site has a one unfortunate , unlucky .

video content Image generated by Wilowrid

It looks like there are three sites that do not have one on any of the corners already .

Which means that for these 21 centers , they could either go like this on these two sides or they could go on these two sides .

If they go on these two sides , then we have a six and six conflict .

So if I put them here , then there should be no conflict anywhere .

All right .

So four doesn't conflict with any of the corners .

Remember the edges are not solved and the seven doesn't conflict with corners .

Five doesn't , and this is a six doesn't conflict with the nine That's great .

I've solved all the centers .

Thanks to the double one .

Lastly , I just have to solve all of the edge pieces , which is going to be annoying because I'm rarely in a situation where I have all the corners are solved and the centers are solved , but the edges are not solved .

Wait , no , that's just the three style for blindfolded .

Ok .

video content Image generated by Wilowrid

No , no , no , I'm in this situation all the time .

Actually , I , I know exactly how to do this .

So we're starting with the four and the two .

All right .

So I need to move this to a spot where this one points up and this one points , right ?

I know what .

There's no spot for this .

Yeah , there's no spot on the entire cube where I can have something on the left side that's oriented up .

And then this one here is oriented this way except for right here , which means the edge is salt .

But the , the , oh , no , no , I didn't think of this .

Oh , wow .

OK .

Remember how I said you can't have 11 here .

It must be here .

I , I didn't think of what if you swapped the centers .

That must have been what I just did .

Yeah .

Originally the 11 , I tried it like this and then now I move this one here and this one there .

I never do center movements .

So I forgot that that was even possible .

video content Image generated by Wilowrid

All right , the ones go here and this two and four was already in the solved spot .

Oh , wow .

Imagine if I just started solving a bunch of things without realizing that first , I'm so lucky that that happened on the very first edge .

All right .

Remember we're just comparing to corners , this one is solved relative to the corners .

At least it seems because uh the numbers are not duplicates and uh the orientation matches and same thing for this one with the surrounding corners .

All right , that's solved .

Let's look at this one .

Oh , that , that looks solved actually .

OK .

Let's look at this one .

This is upside down because that's a six and obviously a six cannot go where there's a six here .

So let's see where this one goes .

Uh This is an 86 pointing in the same direction .

That actually means uh because all the sides are all oriented upwards here .

It must be one of the side , four edges that is where it goes .

So this 86 could go here .

So that would mean s on the left .

video content Image generated by Wilowrid

And uh no , that's not possible because the six would go here and that uh conflict with the six if it went here .

Uh That is possible if it went here .

Nope , the eight and the eight and if it went here , uh no , six and six , OK .

So I know that the 86 has to go right here and this 37 , I'll just bump it to another spot .

That I haven't already solved .

So this one will go here and this one will go here .

So that's gonna be like , uh , just do a little commutator action .

Um , let's do it like this .

It's gonna look like magic , but I mean , it worked .

We have a 58 right here that is definitely not solved and they are oriented the same way , which means that it goes in one of these four equator pieces and not the one I've already solved 86 .

So 58 going right here .

video content Image generated by Wilowrid

Nope , five conflicts with the center 58 right here .

Uh There's no five on this side .

There's an eight right here though .

So that's not going to work .

And 58 right here should work .

You have no eight here and no five here .

All right .

Nice .

So this 58 is going to go right here .

I have a 12 right here also oriented the same way .

So it goes in one of the last two equator spots .

And uh let me actually explain how I do the algorithm this time because it's like I , I like to explain it once .

But then afterwards you can just put it's magic this 12 .

If it went here , that would be 11 .

So that doesn't work .

And if it goes here , there's no one here and there's no two already here .

So how the algorithm works is I need to get this one here and I need to swap it with any other edge because you can only ever swap three edges at once .

You cannot swap two edges at once .

So I will move this one to here and then move some other edge as well .

Uh I'm going to choose this one .

video content Image generated by Wilowrid

So we're gonna go uh this one into here like this in a way that doesn't disturb the equator slice in any part except for that one piece .

Then that means I can turn the equator slice as my next move .

And what that does is it pretty much sets up a commentator and we just undo the first part and then undo the second part .

And if you , if you think really hard about it , you'll understand why it does a three edge swap , but I'm not going to explain why exactly it does that I'm just going to explain that that is how I'm doing the three edge swaps .

It is quite simple once you know how to do it and it lets you set up algorithms anywhere you want .

So there it is no corners or centers were disturbed in the placing of this edge .

All right , I have finished the equator slice .

You can see they're all facing the same way , they're all unique on one side .

And I have finished all of the corner pieces everywhere and I finished the centerpieces everywhere .

video content Image generated by Wilowrid

It's very interesting on this cube , but it's hard to tell what you've actually already solved because you , you can't really tell just by looking that I've solved exactly those pieces .

But this is the last piece that I need to solve the first two layers .

So that means I just need something where the two orientations face each other to match the ones .

So that could be something like it doesn't exist .

Oh Thank goodness off camera .

I just went through an existential crisis when I realized you could just take the 98 and rotate it , you can just flip it .

Uh So I'm gonna take this out like it's a cross piece and uh you know , we'll put at the back , we'll do that again .

So that when I put this 98 back in flipped , then the one will still be oriented correctly .

All right .

Oh So we have 123456789 on this side and I finished the first two layers .

So if we ignore that layer , everything here should be good .

video content Image generated by Wilowrid

So we're gonna do a quick check on the first two layers , right ?

No duplicates , no duplicates , no duplicates , no duplicates and they were all facing the same way .

No duplicates here .

All right .

Now we're on to the last layer .

Wait a minute , 12 , no , no , no , no , no , no , no , no , no , no , no , no .

What is this ?

OK .

OK .

That's not two nines .

That's a six .

video content Image generated by Wilowrid

Hang on , hang on , hang on , hang on 123456789123456789123456789123456789 123456789 123456789 .

Ok , so we're gonna , we're gonna flip that center guys .

If not for the center flip , I just got a last layer skip .

Absolutely .

No way that just happened .

There's gotta be a way where there's like multiple ways you can twist the sentence salt .

No , you can't hear .

OK ?

You can't hear .

video content Image generated by Wilowrid

Uh Does that work ?

I is , is this the first solved position ?

OK .

Let's try this one .

No , you can't hear .

No , there's only , there's only one solved state of the last layer .

I just straight up got a one in 15,552 chance of a last layer skip .

There's something I like to joke about which is I have a three by three beginner tutorial , right ?

And if you look at how many people have viewed it , OK ?

Not all these people have solved a cube , but let's say they all have .

So if you think about it , there must be so many people around the world who watched until here and after they solved their first two layers , they thought , hey , thanks .

That was easy .

And they just never knew there was a last layer .

I cannot believe that that person is me .

Uh This is awkward .

So um editor's notes , I definitely solved the corners .

It wasn't a full last layer skip uh but it was still a one in 96 chance of skipping the edges .

I mean , that's still something .

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