Peter Renzland's Easy English Elegant Rubik's Cube Solution:

The Face Positions are: Up, Down, Back, Front, Left, Right.
"R" means "turn the Right face clockwise a quarter turn", etc.

1. Do the Up (white) Corners intuitively, properly oriented.
2. Place the Down (yellow) Corners: Turn the yellow face so that at most 2 corners are displaced. Hold them between the left thumb and index finger, and swap them: RBRB RBRB RBRB RBR. (If they are diagonal, make them adjacent for the swap.)

3. Orient the Down (yellow) Corners: If 1 yellow corner cubie is properly oriented, turn the cube so that it is Down Right Front. Otherwise turn the cube to place a cubie there, with its yellow facelet on the Right. (The White corners are always Up.) Do: RBLF RBLF RBLF. (Repeat all of step 3 until the corners are done.)
4. Do the Up (white) Edges intuitively, properly oriented. (Without disturbing the corners.)
5. Do the middle and Down Edges: To move an edge cubie, line it up opposite its target cubicle, properly oriented (down the Back); line up a helper edge-pair (already matched, or both still random) alongside (down the Right); Do: RRBB RRBB RRBB; invert the line-up turns (having noted their face-colours).

Intuition assistance for Step 1:


To move a White corner cubie from the Down face into its own cubicle:

Hold the cube so that the target cubicle is at Up-Right-Front.
Turn the Down face to move the cubie to Down-Right-Front.
    If the cubie's White facelet is Down, do   DDD RRR DD R B R BBB.
    If the cubie's White facelet is Right, do   LLL FFF L.
    If the cubie's White facelet is Front, do   B R BBB.
If the cubie is on the UP face, move it to the Down face first.


Intuition assistance for Step 4:


To move a White edge-cubie from the Down face into the Up-Front cubicle:

Turn the Down face so that the cubie is under its target cubicle, i.e. at Down-Front.

If the cubie's White facelet faces Down: FF RRR L DD R LLL
    (FF; turn the slice with the cubie in it, so as to put it at Up-Back; FF; undo the slice turn.)

If the cubie's White facelet faces Front: F U DDD LLL UUU
    (F; turn the middle layer slice to put the cubie at Front-Right; un-Front; undo the slice turn.)

Undo the Down face turn.


To move a White edge-cubie from the middle layer into the Up-Front cubicle:

Turn the middle layer slice so that the cubie is in Front, and its non-White facelet faces Front.
Now turn the Front face to put the cubie at Up-Front.
Turn the slice with the cubie in it, so as to put the cubie at Up-Back.
Undo the Front face turn so its White corners are Up, matching the other two white corners.
Undo the slice turn, which puts the cubie into its own cubicle. Undo the middle-layer slice turn.


Keeping the centres correctly aligned may help align the corners and edges.


See also Peter Renzland's Elegant Rubik's Cube Solution Method.

[ peter [at] dancing [dot] org ]