An assembly (1; 100) of at least one object having an outer surface substantially of revolution around an axis of revolution (Δ) and a machine for printing the object, the machine comprising: - at least four printing stations (16, 18, 20, 22; 116, 118, 120, 122), each printing station (16, 18, 20, 22; 116, 118, 120, 122) including at least two inkjet printheads (64, 66; 164, 166), each printhead (64, 66; 164, 166) defining a median plane (P1, P2), the median planes (P1, P2) intersecting the outer surface along two impact axes (Δ1, Δ2), respectively, seen from an opening angle (γ) from the axis of revolution (Δ), - a conveying system including at least one object carrier suitable for carrying the object, the conveying system being suitable for moving the object carrier relative to the printing stations (16, 18, 20, 22; 116, 118, 120, 122) sequentially in at least four printing positions in which the object is respectively across from one of the printing stations (16, 18, 20, 22; 116, 118, 120, 122), the object carrier being suitable for rotating the object relative to the printing station (16, 18, 20, 22; 116, 118, 120, 122) around the axis of revolution (Δ) in each of the printing positions, and - a control system for controlling the conveying system and the printing stations (16, 18, 20, 22; 116, 118, 120, 122), the control system being configured so that said two printheads (64, 66; 164, 166) print the object during at least one printing period, and the median planes (P1, P2) forming an angle (θ) strictly smaller than the opening angle (γ), characterized in that, in each of the printing positions: - the two printheads (64, 66; 164, 166) of the printing station (16, 18, 20, 22; 116, 118, 120, 122) situated across from the object are offset relative to one another along the axis of revolution (Δ), and - the conveying system is suitable for moving the object carrier relative to the printing stations (16, 18, 20, 22) along a trajectory (Γ) that is, locally, at each printing station (16, 18, 20, 22), substantially perpendicular to the median plane of one of the printheads (64, 66) of said printing station (16, 18, 20, 22), preferably perpendicular to the median plane of the printhead closest to the object when the object carrier reaches the printing position corresponding to said printing station (16, 18, 20, 22). - at least four printing stations (16, 18, 20, 22; 116, 118, 120, 122), each printing station (16, 18, 20, 22; 116, 118, 120, 122) including at least two inkjet printheads (64, 66; 164, 166), each printhead (64, 66; 164, 166) defining a median plane (P1, P2), the median planes (P1, P2) intersecting the outer surface along two impact axes (Δ1, Δ2), respectively, seen from an opening angle (γ) from the axis of revolution (Δ), - a conveying system including at least one object carrier suitable for carrying the object, the conveying system being suitable for moving the object carrier relative to the printing stations (16, 18, 20, 22; 116, 118, 120, 122) sequentially in at least four printing positions in which the object is respectively across from one of the printing stations (16, 18, 20, 22; 116, 118, 120, 122), the object carrier being suitable for rotating the object relative to the printing station (16, 18, 20, 22; 116, 118, 120, 122) around the axis of revolution (Δ) in each of the printing positions, and - a control system for controlling the conveying system and the printing stations (16, 18, 20, 22; 116, 118, 120, 122), - the two printheads (64, 66; 164, 166) of the printing station (16, 18, 20, 22; 116, 118, 120, 122) situated across from the object are offset relative to one another along the axis of revolution (Δ), and - the conveying system is suitable for moving the object carrier relative to the printing stations (16, 18, 20, 22) along a trajectory (Γ) that is, locally, at each printing station (16, 18, 20, 22), substantially perpendicular to the median plane of one of the printheads (64, 66) of said printing station (16, 18, 20, 22), preferably perpendicular to the median plane of the printhead closest to the object when the object carrier reaches the printing position corresponding to said printing station (16, 18, 20, 22).