I wrote a 3d version of sudoku where every slice of a cube was a valid sudoku. It was an awful game. At first it was difficult to wrap your head around the 3d, but once you did it offered so many more clues as to be boring and 95% of the time would be filling out easy cubes.
Cool experiment though :)
This sounds like a cool one-time solve. Solving high level traditional sudukos is mostly about learning "rules" (like The Phistomefel Ring). I imagine the equivalent in 3d would be too complex for a human to parse.