Abstract: A spoked wheel rim having a hub defining an axis, a plurality of spokes projecting radially from the hub, and a rim ring attached to outer ends of the spokes is machined by first mounting it in a loading/unloading station into a holder rotatable about a holder axis with the rim axis generally coaxial with the holder axis. Then the holder is orbited by a turntable carrying the holder from the loading/unloading station into a working station angularly offset relative to the loading/unloading station about a turntable axis between the stations. A rotating tool is then displaced by means of a head carried on a hexapod positioner at least over surfaces of the spokes while holding the rim stationary in the working station to machine the surfaces. The rim is then continuously rotated about the holder axis in the working station while engaging a rotating tool carried on the hexapod positioner with an edge of the rim ring to machine the edge.