? Four Color Series

The Ultimate Solution to a 3x3x3x3

Four-Color Series

These are a set of sequences we can use to move around corner pieces only.  The First sequence will shuffle around 3 corner pieces, and the second will flip a single corner piece.  They are natural extensions of the Three-Color Series.

To execute the First Four-Color Sequence, do the following moves:

 First Three-Color Series
 Upper, 11, Left
 Reverse of the First Three-Color Series
 Upper, 11, Right

This is a total of 18 moves.  Just for reference, the Reverse of the First Three-Color Series is:

 Right, 11, Right Top, 11, Left Left, 11, Left Top, 11, Right Right, 11, Left Top, 11, Left Left, 11, Right Top, 11, Right

We can do the reverse of this series by doing all 18 moves in exactly the opposite order OR simply by changing the position of the Upper face moves in the sequence.  Hence, the reverse sequence may also be done by:

 Upper, 11, Left
 First Three-Color Series
 Upper, 11, Right
 Reverse of the First Three-Color Series

The Second Four-Color Series moves are:

 Third Three-Color Series
 Top, 9, Left
 Third Three-Color Series
 Top, 9, Right
 Reverse of the Third Three-Color Series
 Top, 9, Left
 Reverse of the Third Three-Color Series
 Top, 9, Right

This is a total of 36 moves.

First Four-Color Series before and after screen shots

Second Four-Color Series before and after screen shots