IDEAL | Rubik's Blocks Cube: Twist, Turn, Learn | Brainteaser Puzzles | Ages 8+

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A way to solve this is to replace the flipped edge by a random block and then put the edge at its right place. I rotate the medge piece into the final layer and in the process rotate a placed/oriented piece out of the final layer. An intuitive solution is to remove both the corner and edge, splitting them up, then move them back in an intelligent way. This is in fact only one formula, but the others are the inverse and mirror image along the FR-plane. While this does flip the single edge over, this also moves the corner out of place, and as a result, is not actually a solution to the OP's problem.

Rubik’s Blocks, Original 3x3 Cube with a Twist, Challenging

This takes the two pieces, rotates them to the back, pulls the right side back in place, flips the front for the two pieces, and then rotates them in and flips it down.

My advice is that if you don't have any empty slots, then you might as well continue doing what you're doing. Once the bottom edge pieces are put in place, either one or three edge pieces are flipped, due to the flipped medge. You may recognise this as the Mirror Cube – but add some recognisable Rubik’s colours and this makes for an exciting new addition to the range. You now need to rotate the moved middle edge back into the middle slice and in the process the relocated bottom edge back into the lower slice.

Rubiks | Solve it

If the first 4 bottom slice turns were 3 clockwise and one counterclockwise, the next 4 need to be 3 counterclockwise turns followed by a clockwise one.When only 2 edges need flipping I orient them so they are in the bottom opposite one another, one in the bottom front of the cube, the other at the back.

Rubik’s Blocks, Original 3x3 Cube with a Twist Challenging

This algorithm is especially versatile since it can be modified to accommodate an empty slot in any other position by changing the first and last Ds. I personally put a random buffer-piece in and then solve it, the thing you want to prevent (hence this comment instead of an answer). The 4 vertical center turns are repeated and the bottom turns repeated, 3 one direction and the 4th one back.Additionally, it is not nearly as efficient as simply removing the corner/edge pair, since you'd have to do this anyway to solve F2L from this position. Simply rotate the medge that needs flipping into the unsolved layer and perform the double edge flip as described above.

Mirror Cube (3x3x3) - Grubiks Online Mirror Cube (3x3x3) - Grubiks

Then the vertical slice is rotated once more but the bottom slice on the fourth rotation is turned opposite to the previous three times. But if you want something that doesn't touch the F2L at all AND is quick to execute, then you'll have a harder time finding them. With 4 flipped edges I rotate the middle vertical slice 90 degrees, rotating the bottom edges into the front. The algorithm you've provided doesn't address the case listed in the answer above, where every edge is solved except one.The Block's unique mechanism and different sized blocks result in the Cube changing shape with every move you make. Whatever moves were employed to rotate the flipped medge and position it opposite the flipped bottom edge piece need to be reversed. Solving the Mirror Cube is exactly the same as solving the Rubik's Cube, however it is harder to identify each part because the size difference between the puzzle's parts is less obvious than the color difference of the original puzzle's stickers.