A system and method for moving livestock includes a sequence of interconnected enclosures in which the periphery of each enclosure extends generally to the center of the next enclosure. At the center of each enclosure is a turret unit including a support frame, a turret frame and a panel. The panel extends generally to the edge of the enclosure. The turret frame and panel are capable of two modes of movement: a sweeping mode and a shuttle mode. In the sweeping mode, the turret frame rotates the extended panel as the panel sweeps around the semicircular enclosure. In the shuttle mode the panel is translated across the enclosure from one side of the turret frame to the other side of the turret frame. Panels can thus be alternately swept around their respective enclosures and shuttled across their respective enclosures to present translating enclosed areas for livestock as the livestock progress through a series of interconnected semicircular enclosures.