The Ultimate Solution to a 3x3x3x3

using the interface of MagicCube4D

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