Constructing a cube with twice the volume of a given cube is one of the three famous problems of Greek antiquity which resists all attempts using ruler and compass only. The other two are trisecting an angle and squaring the circle. The impossibility of all three constructions with compass and straightedge has been proved, but many novel geometric methods have been devised to solve them by breaking the Greek rules. Here the first author presents a method which he has devised for doubling the cube, and the second author presents a proof for its correctness.