David Gilday has published detailed building and programming instructions for a Rubik’s Cube solving robot that you can create with a single LEGO MINDSTORMS EV3 set. You can find the instructions for MindCub3r (here).
You’ll have to go through quite a few steps to make it work, but it’s probably still a lot easier than solving the cube on your own! BManCan1 has already followed these steps and he created this video:



