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
Curiosity: What's Inside the Cube? messages. Players tapped the cubelets to dig through the surface of each layer and reveal the next layer below. The goal was to reach the center and to discover what was inside the cube. Each layer, which had a distinct look or design, contained a clue as to what was in the centre of the cube. Each cubelet destroyed by a player awarded them coins. Coins could be spent on tools that temporarily enhanced the player's abilities, such as picks ranging from iron to steel to diamond that increased the number of cubelets destroyed with each tap, or firecrackers that