Abstract: Rotor (30) for a rotary electric machine, comprising a rotor body (33) comprising metal sheets stacked one on top of the other, the rotor body (33) comprising a plurality of housings (10) for receiving one or more permanent magnets defining poles of the rotor, the housings of a pole being arranged in at least one first (11) and one second (12) row of housings, the first row of housings comprising three U-shaped housings, with a central housing and two side housings, a length (L2) of a larger rectangle enclosed in the central housing being equal to +/?20% of the length (L1) of the largest rectangle enclosed in a side housing, at least one of the side housings, in particular the two side housings of the first row, comprising a recess (15) which extends from the side housing to the central housing.