Welcome to the Professor's Cube solution, the is the Grand-daddy of 'em all. There are 92 pieces you have to solve:
The 6 center faces are fixed, and they define what color each side will eventually become. They can rotate in place, but can never jump from face to face.
Q: Is my brain going to explode?
A: No. Most of the moves used for this solution should already be familiar to you; the notation may be somewhat different (due to the extra slices and layers), but you should recognise the same feel of it. For example, the method for solving all corners is identical to the moves found in the Rubik's Cube and Revenge solution. With exception, the outer-edges follow the same method as the 4x4x4 solution, while the inner-edges mirror the 3x3x3. Some of the moves have been modified for reasons I will explain later. Basically, all you are doing is solving a Regular and Revenge cube at the same time.
Anyway, let's get on with the top faces...
Pick a favorite color
Solve the top
Solve the top
I am not going to decribe how to do this, as this should be intuitive and easy enough for anyone to do. However, you must choose what the top side is, and which color to use. After that, the top side stays on top for the rest of the solution.
Note: It is not necessary to solve all 4 inner faces before solving the next 4 outer-faces. You can solve the 8 pieces in any order you please. Yet, the easiest way is to follow the diagrams.
There are fifteen layers in the Professor's Cube, but we only need to concern ourselves with seven of them; the five vertical slices (Left, M, N, O and Right), the bottom layer (B) and the front side (F).
NEXT: Solve the Top Corners...