Mock AIME 2 2006-2007 Problems/Problem 15
A cube is composed of unit cubes. The faces of unit cubes are colored red. An arrangement of the cubes is "intriguing" if there is exactly red unit cube in every rectangular box composed of unit cubes. Determine the number of "intriguing" colorings.
This problem needs a solution. If you have a solution for it, please help us out by.