...is essentially the "upside-down" version of a "parallel manipulator" robot:
Actually, I think the Stewart platform came "first", then somebody had the bright idea to invert it to use as a robot manipulator arm (for high speed and high precision pick-and-place, mainly).
A few people have managed to build such arms using the Arduino (sometimes multiple Arduinos) - so doing the reverse should be possible. However, as mentioned, there's going to end up being a lot of math behind the whole system (for path planning and IK, for instance); the mechanics are the "easy" part, actually.
