state

I searched this on the internet but coudn't find. Why its impossible to twist a corner, flip one edge or permute two pieces? I showed some people how to solve the cube and explained the impossible states, but when they asked why it was impossible I just said it was mathematically impossible to...

I am writing my own application which will be able to solve any given cube. Now I am working on a functionality where the user can set initial state of the cube, it will look something like this: http://www.monster-legends.info/images/solve-rubik's-cube.jpg But as you probably know, only...