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## Nine Faces Flat Rubik Puzzle

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).
You can rotate 3x3 square block and shift 12 elements presenting one of the square's angles on each move. There are two options: 'Rotate square and shift angle Clockwise' and 'Rotate square and shift angle Counterclockwise'. There are 24 square marked with white numbers. By clicking on the white number square, you can rotate a 3x3 square block 90 degrees and shift 12 elements presenting the closest square's angle.
For example, if you select the 'Rotate and Shift Clockwise' option and click on “39” square, 3x3 square block 37-39-45-43 will rotate clockwise 90 degrees (see Figure 1). In addition, it will shift Clockwise 12 elements presenting the closest square's angle (7,8,9=>16,17,18=>46,48,52=>73,76,79=>7,8,9) Figure 1
Columns are enumerated from #1 to #9. Next column after column #9 is column #1 again. The previous column for column # 1 is column #9. The same rule applies to the rows. Figure 2
For example, if you select the 'Rotate and Shift Clockwise' option and click on “9” square, 3x3 square block 1-3-9-7 will rotate clockwise 90 degrees (see Figure 2). In addition it will shift Clockwise 12 elements presenting the closest square's angle (64,67,70=>10,13,16=>30,29,28=>48,47,46=>64,67,70)