Most persons who encounter Rubik's cube for the first time find it
relatively easy to arrange one face of the cube, so I take a cube with
one layer arranged as the starting point for the five "recipes"
needed to complete the cube. However, for completeness, and to help
beginners get started, here are a few tips and tricks for the first
two steps. The notation is explained on the main Rubik page.
Step
1 is to position and orient the edge "subcubes" of the
top layer. If we choose the face with a white central square to be the
top layer, the objective is to establish a "white cross" on
top, where the edge subcubes match the colors of the adjacent faces:
This is achieved by using the top or bottom layer to transport the white
edge subcubes to the left, right, front or back face where they belong.
The only complication that can arise is when the edge subcube is oriented
in the opposite direction to what is desired. Let us for example assume
that in the illustration the red/white subcube at the top of the front
side would be inverted, so that it would be white on the front side,
and red on the top side. In that case, the sequence FU-1RU
would solve the problem.
Step
2 is to position and orient the corner "subcubes" of the
top layer:
This is achieved by bringing each corner subcube to be positioned to
the corner in the lower right corner of the front face directly below
its final destination in the upper right corner of the front face.
Three cases can arise:
- The white face of the corner subcube appears at the lower right
of the front side. The sequence FDF-1 will bring
it to its correct position and orientation in the top layer.
- The white face of the corner subcube appears at the lower left of
the right side. The sequence R-1D-1R
will bring it to its correct position and orientation in the top layer.
- The white face of the corner subcube appears in the bottom
side. The sequence R-1D2RD will bring us back
to case 2.
If the subcube is already in the right position but oriented wrongly,
it has to be moved to the bottom layer through an F or R-1
move, moved out of the way through a D or D-1 move, the top
layer restored through F-1 or R, respectively, and the subcube
moved under its final position through D-1 or D, respectively.
This brings us to one of the cases above.