Cube (algebra) however, easy to show that most numbers are not perfect cubes because "all" perfect cubes must have digital root 1, 8 or 9. That is their values modulo 9 may be only −1, 1 and 0. Moreover, the digital root of any number's cube can be determined by the remainder the number gives when divided by 3: Every positive integer can be written as the sum of nine (or fewer) positive cubes. This upper limit of nine cubes cannot be reduced because, for example, 23 cannot be written as the sum of fewer than nine positive cubes: The equation has
The Cube (film) and this is what his afterlife is like, the Man is visited by a scientist (William Osler) who asks the Man to define reality for him. When the Man claims that the hammer doesn't exist, the scientist proves him wrong by throwing the hammer at one of the cube's walls causing a hole in it. Arnie reprimands the scientist for breaking the wall and gives him his hammer back while he gets the wall fixed. Upon being unable to convince the Man, the scientist leaves hoping that the Man rots in the Cube. Arnie fixes the hole and leaves stating