An assembly (1) of at least one object (5) having an outer surface (12) substantially of revolution around an axis of revolution (Δ) and a machine (10) for printing the object, the machine including: at least four printing stations (16, 18, 20, 22) including at least two inkjet printheads, each printhead defining a median plane, the median planes intercepting the outer surface along two impact axes, respectively, seen from an opening angle from the axis of revolution; a conveying system (35) including at least one object carrier (40) and suitable for moving the object carrier relative to the printing stations sequentially in at least four printing positions, the object carrier being suitable for rotating the object around the axis of revolution; and a controller. In each of the printing positions: the two printheads are offset relative to one another along the axis of revolution; the control system is configured so that said two printheads print the object during at least one printing period; and the median planes form an angle strictly smaller than the opening angle between them.