Nine Faces Flat Rubik Puzzle is two dimensional variations of Rubik's Cube that consists of nine 3x3 color bocks. If you put an additional movement restriction on three out of nine colored blocks this, 2D puzzle become equal to the original 3D Rubik's Cube puzzle (see
Six Faces Flat Rubik Puzzle). For the puzzle to be solved colors should be separated and each block must be a solid color (see the left image in Figure 1).