There are 27 different ways that the corners can be arranged. Corners 1, 2 & 3 can show the top color three different ways, while the 4th is determined by the other three. 3x3x3 = 27. For each of those, there are 6 different ways the corners can be **placed** to show that pattern. So in total we have 27x6 = 162 different corner configurations. In theory.

Of those 6 corner placements, 1 is that they are correctly placed, 1 is that two corners are swapped diagonally, and 4 are that adjacent corners are swapped. I've taken to name them like this:

- Correct already: A, B, ...
- Adjacent swap: Ax, Bx, By, Bz, ...
- Diagonal swap: AA, BB, ...

Due to symmetries etc, the 162 positions are really just 32 distinct ones

Correct: 7 of 27 (A 1, B 8, C 4, D 4, E 4, F 2, G 4)

Adjacent: 18 of 108 (Ax 4, Bx 8, By 8, Bz 8, Bq 8, Cx 8, Cy 4, Cz 4, Dx 8, Dy 4, Dz 4, Ex 8, Ey 8, Fx 4, Fy 4, Gx 8, Gy 4, Gz 4)

Diagonal: 7 of 27 (AA 1, BB 8, CC 4, DD 4, EE 4, FF 2, GG 4) For example, 8 of 162 is 4.94% of the cases.

For few moves, learning to do Step 1-4 in few moves is the most important. Aim for 30 moves when going slow and thinking about every move, and don't expect to get to 30 very fast. Step 5-7 improvements is what this page is about, and you can cut that down from 30 to 15-20 if you memorize a lot of these sequences.

For faster moves, the two important parts are physical finger speed and lookahead. The trap here is to get fixated with just doing moves incredibly fast, but failing at lookahead. If you do 7 moves in a second and then have to spend 3 seconds finding where to do your next move, you're not really going fast. Better to do 3 moves per second but always know what your next move is.

I just say this since I think a lot of people get caught up in learning sequences instead of doing other more important stuff that I can't really make a page for. That said, if you like to learn all this anyway, go ahead.

Apart from Niklas, Sune etc from the main tutorial, I've named 8 sequences for use in the index. Most of my solutions are combinations of these ~15 sequences. If you learn anything, learn those. Clix, Evelyn and Eve are probably the most important.

I've been working on a full Step 5+6+7 Index, with a new approach. It's still a bit crude, but I think it's already the best way to do the final layer, if you want to spend a **lot** of effort being really fast. Check it out here.

A lot of the sequences are taken from Bernard Helmstetters computer runs. This just scratches the surface of what is on his site.

A -

Ax, AA

B -

Bx, By, Bz, Bq, BB

C -

Cx, Cy, Cz, CC

D -

Dx, Dy, Dz, DD

E -

Ex, Ey, EE

F -

Fx, Fy, FF

G -

Gx, Gy, Gz, GG

Mail me at cube@lar5.com

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