Motor suggestions for rubiks cube scrambler

[phantomoperator]

Hello everybody! My name is phantomoperator and I just recently joined this forum to see if I could get some advice on how I should approach a very specific problem of mine.

A friend of mine and I are big into solving rubiks cubes and we both can currently solve them in less than 20 seconds. Here is a our dilemma. We hate scrambling the cubes. It takes us longer to scramble than actually solve the thing. What we want to do is a build an arduino powered scrambler where all we have to do is a press a button and have it scramble a cube.

Here is the problem with that. We dont know whether or not it would be best to use servos or stepper motors and even then, how to go about controlling them. We were leaning towards servos since they are small but they would have to be continuous rotation to work with our design.

Any thoughts or input would be greatly appreciated. thanks!