Orrery of Pizza Cutters

This is an idea for a mechanical orrery that employs mechanized pizza cutters on trays instead of moons around planets around stars.

A typical orrery mechanizes the rotation of a moon around a planet and the planets around the sun. Instead, this orrery would have little trays spinning around an extra large tray in the center, and each of them would have different cutters that operated on cue with the rotation of the trays via a large central crank.

Would probably thus be used as the central fixture in a pizza restaurant. Everyone would choose a tray for their pizza and the whole thing would go down on a periodic basis, much to the patrons' delight.