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The Mirror Cube 5x5x5, is a combination of the Mirror Cube and the Rubik's Professor's Cube. It has the exact same mechanism as the Professor's Cube, but it also shares the same idea behind the Mirror Cube - Meaning same color stickers but changing block sizes. Solving the Mirror Cube 5x5x5 is exactly the same as solving the Professor's Cube.
The center pieces of this puzzle (9 center pieces for each face of the puzzle) all have the same height and width, they only differ by depth, so matching them means there are no "bumps" - all 9 have the same depth. Each edge piece of this puzzle appears 3 times, and they should be matched together. After matching both the centers and the edge pieces, we are left with a puzzle that can be solved using the standard Rubik's 3x3x3 solving algorithm (with 1 parity case).