The Series
The 3D solution required two sequences of moves, the ?Edge Piece Series? and ?The Corner Piece Series.? The 4D solution will use both of these and a few additional sequences. To hopefully reduce confusion, for this discussion I am going to rename the series.
The 3D ?Edge Piece Series? I will call the ?Two-Color Series.?
The 3D ?Corner Piece Series? I will call the ?First Three-Colored Series.?
The reason is that, as you will see, the four-move ?Edge Piece Series? is going to be used to solve the ?face? pieces of the 4D cube, and the eight-move ?Corner Piece Series? will be used to solve ?edge? pieces of the 4D cube. Using an edge series for face pieces and a corner series for edge pieces would become too confusing and hence the name change. I got confused just typing that last sentence.