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Now that you’ve got the puzzle into cube shape (ignoring the E slice, we’ll finish that at the very end) we can start the real solve.  The goal of this step is to get all the white corners on top and all the yellow corners on bottom.  I call it corner orientation (CO) but some people like to call it sorting rather than orienting because orientation has a specific definition in cubing.  You’ll notice that in this state if you do a / move you’ll break cubeshape.  But there’s an easy solution: if you misalign one layer by one notch you can make / moves and layer moves that are multiples of 3 and cubeshape stays solved.

So now you have to orient the corners.  It’s a completely intuitive step.  First, pick a color to work on.  I use white (U) but most other solvers use D.  It really doesn’t matter all that much.  Anyway, the first job is to get 2 adjacent corners of that color and store them in the left half of your target layer.  Remember to always keep the layers misaligned so you don’t mess up the shape.  Once you have half of the target layer built, try to connect the other two corners of that color and insert it on the right side.

If you did it right you should have the corners of the top and bottom faces showing the correct colors, with the puzzle still in cube shape.  Like the last step, this step is intuitive and so the best way to get faster is to practice.  It’s really easy once you get the hang of it.

Ready for the next step? On to Edge Orientation!