Square to Cube

by Martin Gardner

Take a square piece of paper with one color on one side and another on the other. Now rule the square into nine squares as shown on the left. You may also use our prepared PDF Print 'n' Play version of such a square.

The question is if it's possible by cutting only along the ruled lines, cut out from this square a pattern (it must be a single piece) that will fold along the ruled lines into a cube that has just one color on the outside?

No cuts or folds are allowed that are not along the ruled lines that divide the piece of paper into the squares.