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Unlike the Rubik's Cube, this puzzle has a fixed orientation, i.e. it matters which way up you hold it. First find the edge piece that is glued to two face centres, and hold the puzzle so it is in the DB position. Now find out the colours of the unglued corner, wherever it is on the puzzle. If the colours match those of the F, U and R face centres then you are holding the puzzle correctly for the solutions below to work. If they match the F, U and L face centres then turn the puzzle over so that the F and U faces swap places. If neither of the two cases above holds, then you have a puzzle that is glued differently, and the solutions below will not help you much.

How am I supposed to know how the colours match if I have no stickers? Or am I just dumb...

That's just to determine the proper orientation. Since you haven't stickered it yet, you won't be worrying about orientation (because there is none), you just want to get the pieces back in the right places.

That's just to determine the proper orientation. Since you haven't stickered it yet, you won't be worrying about orientation (because there is none), you just want to get the pieces back in the right places.

You kinda didn't really have much to say eith....never mind.

If there are no stickers on the cube, then the colours don't matter, as there are none. Get it so it looks like an unscrambled bandaged cube without stickers, orient it so the algs work purely by trial and error, and then sticker it. I don't really get your problem.

Ok... i'll just try every position the corner can be in until it works...
1 last question: For the step that says "swap F and U face" it says that the position of the L corner in DB should change, but if I am correct, doesn't the L corner not move??
I saw in another video that you are supposed to rotate using the free corner as a pivot so F -> U -> R -> F..

Ok, i dont use any of Jaap's algorithms. But sometimes i get "strange" case after f2l is already done. I solve it in my own, very unsatisfactory way. I wonder how do YOU solve this case?
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This isn't really a speed solving question, but I couldn't really think of any other place to ask this.

I got this new puzzle recently, and it is essentially a 3x3x3 with one corner and the adjacent pieces bandaged (like the beginning of the Petrus Method, but the 2x2x2 block is one piece). I've solved most of it except the last layer. I can get the cross but I can't figure out OLL/PLL by only turning 3 faces (front/back, left/right, up/down). Anyone have any idea how to solve deal with this?

If it helps, you can solve the last layer with these algs:
- edge orientation with F R U R' U' F' and inverse
- corner orientation with R U R' U R U2 R' and inverse
- corner permutation with R U R' F' R U R' U' R' F R2 U' R'
- edge permutation with R2 U' R' U' R U R U R U' R and inverse

Also, this is equivalent to scrambling and solving a 3x3x3 with the F, R, and U faces only (qqtimer can generate scrambles like this), or solving one half of a Fused Cube, so the same ideas work on all of these.

If it helps, you can solve the last layer with these algs:
- edge orientation with F R U R' U' F' and inverse
- corner orientation with R U R' U R U2 R' and inverse
- corner permutation with R U R' F' R U R' U' R' F R2 U' R'
- edge permutation with R2 U' R' U' R U R U R U' R and inverse

Also, this is equivalent to scrambling and solving a 3x3x3 with the F, R, and U faces only (qqtimer can generate scrambles like this), or solving one half of a Fused Cube, so the same ideas work on all of these.

Just tried this, works pretty nicely. I was looking at PLL algorithms just before I saw this post, but there are a lot of cases to memorize. This works much better, even if it takes a little longer. Thanks for the help, it has been solved, and I shall keep practicing it