The Mini Mirror Cube, is a cmbination of the Mirror Cube and the Mini Cube. It has the exact same mechanism as the Mini Cube, but it also shares the same idea behind the Mirror Cube - Meaning same color stickers but changing block sizes. Solving the Mini Mirror Cube is exactly the same as solving the Mini Rubik's Cube.
This puzzle actually has only 8 moving parts, all of which are corners. Each corner has its unique size and should be matched with the parts that share 2 of its 3 dimensions (for e.g height and width are the same but depth isn't). As with the Mini Cube, this puzzle can always be solved in 11 moves or less. It has (only) about 3.7 Million possible permutations.