Cube root can be done with a compass-and-straightedge construction. Newton's method is an iterative method that can be used to calculate the cube root. For real floating-point numbers this method reduces to the following iterative algorithm to produce successively better approximations of the cube root of "a": The method is simply averaging three factors chosen such that at each iteration. Halley's method improves upon this with an algorithm that converges more quickly with each step, albeit consuming more multiplication operations: With either method a poor initial approximation of "x" can give very poor algorithm performance, and coming up with a good initial
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