Abstract: A rolling machine for reducing the cross-sectional dimensions of an elongate workpiece, such as a steel billet, has two pairs of alternately operating rolls, each of which is journalled in an individual roll carrier. Each carrier is rotated about a carrier axis which is inclined at an angle of about 45.degree. to the axis of rotation of the roll journalled in the carrier. The carrier axes form the sides of a square around the passline which is normal to the plane in which the carrier axes are located. As the carriers rotate the two pairs of rolls alternately sweep over the workpiece and intermittently contact and reduce the workpiece in directions which are mutually at right angles. To avoid the formation of sharp edges to the rolled workpiece, either each roll is collared to enclose a workpiece edge, or each carrier additionally carries an edger roll which rounds that edge.