Super Method Step 3 — Last Five Corners

We've made it to the final step! Everything in this step will be based on a very short little move sequence that we call the Super Move (and that is why this is called the Super Method). The Super Move is only 4 turns:

It is also sometimes nice to use the Inverse Super Move (meaning the move that undoes the Super Move). To do that we just read the Super Move backward and change the direction of each turn:

The result of applying the Super Move to a solved cube, viewed from above.

The same, but viewed from below.

Let's talk about some basic facts about the Super Move.

1. If you do the Super Move 6 times, you return to the cube state you started in.
2. The only piece in the top layer that the Super Move changes is the Up-Front-Right (UFR) corner.
3. Doing the Super Move once (among other things) swaps the Down-Front-Right (DFR) with the UFR corner and changes the orientation of both of them.

The facts are the ingredients of the strategy for solving the Last 5 Corners. We take whatever corner is the DFR spot and align the U face so that the spot where it belongs is in the UFR position. Then we apply the Super Move repeatedly until the UFR corner is solved. This will place a new corner into the DFR slot and we start the process over again. We do this until we have solved all of the corners. Fact 3 will swap the corner positions as desired. Fact 2 will protect the rest of the top layer from being messed up. Thick-V will be disturbed along the way doing the Super Move, but we will always make sure to do it in multiples of 6 so that by Fact 1 in the end Thick-V will completely restore itself. There are a few subtleties to this that we will explain with an example solve.

	Let's take our corners to be initially in this state. The Blue-Red-Yellow corner is the DFR position (the Yellow sticker is hidden on the D face). So, first we turn the U layer until the Blue-Red-Yellow position is the same as the UFR position. In this example, that is already the case so we don't need to do any U turn. We place the corner by applying the Super Move. Total Sup count: 1.
	The Blue-Red-Yellow corner is solved! Doing this but the Blue-Yellow-Orange corner into the DFR spot. So, now we turn the top layer so that the Blue-Yellow-Orange position is the same as the UFR position. This requires a U.		Now we apply Sup again to solve another corner. Just 1 Sup does it. Total Sup count: 2.
	The Blue-Yellow-Orange corner is now solved! The Blue-Red-White corner is in the DFR spot. We need to align the Blue-Red-White position into the UFR position. This requires a U2.		Now we apply Sup again to solve another corner. Total Sup count: 3.
	That didn't solve it! You'll notice the Blue-Red-White corner is in the right spot but not oriented the right way. This means we need to Sup again. Total Sup count: 4.		That swapped the corners again and twisted them. Now we need to Sup again until Blue-Red-White is solved. Total Sup count: 5.
	Yet again in the right spot but facing the wrong way, so Sup! Total Sup count: 6.		Woah, notice that now that we have Sup'd a total of 6 times, Thick-V has been restored! This is why the multiple of 6 fact is so important. But, Blue-Red-White still isn't solved so Sup again. Total Sup count: 7.

It took 5 Sups to solve the previous corner. Because 6 Sups does nothing, 5 Sups is the same as 1 Inverse Sup (Sup'). Sup' counts as -1 Sup. Once you are comfortable with what you are doing, you should notice that if the top color sticker of the corner in the DFR position is on the Right face, then it takes 1 Sup to solve; if the top color sticker of the corner in the DFR position is on the Front face, then it takes 1 Sup' to solve; and if the top color sticker of the corner in the DFR position is on the Down face, then it takes 3 Sups or equivalently 3 Sup' to solve. Let's continue.

	The Blue-Orange-White corner is in the DFR slot, so align that position into UFR using a U'.		When we are doing the last top layer corner, we don't Sup until its solved like we did with all the rest. Instead, we Sup until Thick-V restores itself. In this case, that means doing either 5 Sup or 1 Sup'. Sup count: 6.
	We are now sooo close to done. You will notice if you do a U2 then the entire cube is solved except for just two corners. And, those two corners are exactly where they should be, just twisted to be facing the wrong way. But, don't do the U2. That isn't how we are going to fix those two corners. Instead, we are going to fix them still just using the Super Move! Once you have your cube down to just two corners, we are going to change how we hold the cube so that those two corners are both in the top layer and so that one of them is in the UFR position. Basically, just turn the whole cube in the direction of an F' move.
	We are now holding the cube like this. We are going to Sup again to twist the corners. Doing 2 Sup will keep the UFR corner in place but twist it counterclockwise. Doing 2 Sup' will keep it in place but turn it clockwise. The Yellow-Red-Green corner needs to turn clockwise, so do Sup' twice.		Yellow-Red-Green is now solved! The only other improperly twisted corner in the top layer is Blue-White-Orange, which we move into UFR position with a U'.
	For the last corner we always just do the opposite Sups of what we did on the other corner. Since we did Sup' twice on the other corner, we do Sup twice here (and that will rotate the Blue-White-Orange corner counterclockwise like it needs).		We are so close!!! Do a U to realign the top layer (canceling the U' we did before Suping). Then, do an L2 to finish aligning what was our old top layer before we rotated the whole cube.

You did it! Now just practice a bit and before long the cube will start to make sense to you. There are many many ways to improve the Super Method if you want to go faster, but if you want to go really fast you should learn the Roux Method.