## Rubik's Revenge

### V. Solve the Bottom Corners

By now, all 4 bottom corners are in the bottom layer. There are only 8 corner pieces, and the first 4 are already on the top, forcing the last 4 to the bottom. The first step is to arrange them in the correct positions:

#### Turn the bottom layer until at least onebottom cube is in place

`        `

#### Now rotate the entirepuzzle to place the fixed corner atthe lower-left front.

`        `

## ________________________

#### Repeat this sequence:

`        `

## R- B+ L- B-R+ B+ L+ B-

`        `

## ________________________

`        `

#### What the move does: It swaps the other3 corner cubes on the bottom layer clockwise.

You may have to repeat the sequence twice to fix the front bottom corners in place.

### Variations:

For you experts, there are variations to the prior sequence that yield powerful results. There is no need to memorize these, but if you want to save a few moves, here they are:

### B- R- B+ L- B- R+ B+ L+ B2

The same 3 corners are swapped counter-clockwise.

### B2 R- B+ L- B- R+ B+ L+

The (bottom) right 2 corner cubes are swapped.

### B+ R- B+ L- B- R+ B+ L+ B+

The (bottom) back 2 corner cubes are swapped.

The two front (bottom corner) cubes should now be in place. The back ones may also be in place; but if they are not, swap them with the following move:

`        `

## B+ R- B+ L- B- R+ B+ L+B+

#### Swap the lower back corners

You only have to do the sequence once to swap the rear bottom corners in place.

All 4 bottom corner cubes are now in place. The next step is to rotate each corner so that their bottom sides are the correct color. In the worst-case scenario, no corner cube has a bottom side with the correct color. In this case, do the following move:

## R- B- R+ B- R- B2 R+ B2

`        `

You only have to do this once. Now there is at least ONE corner cube is finished, with the right color on the bottom side.

`    `

`    `

`    `

`    `

## ________________________

`        `

#### What the move does: It twists each of theother 3 corner cubes counter-clockwise.

You may have to repeat the sequence twice to finish the front bottom corners.

`    `

`    `

`    `

`    `

## ________________________

`        `

#### What the move does: It turns one cornerclockwise, and turns the other corner cubecounter-clockwise.

You may have to repeat the sequence twice to finish all four corners.

It is now time to solve the Bottom Edges.

#### @ Notation / Top Centers@ Top Corners@ Top Edges@ Middle Edges@ Bottom Corners@ Bottom Edges@ Middle CentersReturn to Mathematica

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