|Painting a Cube|
|Person||Window on the Right|
Painting a Cube is the 117th puzzle from The Curious Village.
In front of you sits a blank paper cube that you've decided to paint. You need to paint the cube so that all faces that touch are different colors. Using three colors of paint, how many ways can you paint the cube so that it satisfies the above condition? Each painting scheme should be a different pattern, not just the same pattern with the colors rearranged. Also, assume that you can't leave any sides of the square blank.