Let n be a positive with n≥3. Consider a board of n×n boxes. In each step taken the colors of the 5 boxes that make up the figure bellow change color (black boxes change to white and white boxes change to black)
The figure can be rotated 90°,180° or 270°.
Firstly, all the boxes are white.Determine for what values of n it can be achieved, through a series of steps, that all the squares on the board are black. rotationboardcombinatorics