An analysis of the image puzzle Original Research Article

Start with a collection of cubes and a palette of six colors. We paint the cubes so that each cube face is one color, and all six colors appear on every cube. Take image cubes colored in this manner. When is it possible to assemble these cubes into an image large cube so that each face on the large cube is one color, and all six colors appear on the cube faces? For the image case we give necessary and sufficient conditions for a set of eight cubes to have a solution. Furthermore, we show that the image puzzle always has a solution for image.