Hair styling appliance for curling a strand of hair, comprising a grip handle defined longitudinally along a first axis and a housing attached to the grip handle, the housing comprising: - a winding chamber having a shape of revolution around a second axis, the first axis and the second axis defining a plane, - an insertion slot which extends along the length of the housing in the plane of the side opposite the grip handle, and which leads to the winding chamber, - and an extraction opening arranged in a lateral face of the housing to which the winding chamber leads, characterised in that the appliance comprises: - a mandrel which has one end fixed to the housing and a free end arranged close to the extraction opening, and which extends in the winding chamber along a third axis defined in the plane, the third axis being inclined with respect to the first axis along an angle (α) such that the free end is farther from the grip handle than the fixed end, - a hollow winder with a surface of revolution along the third axis, which is arranged with a first spacing around the mandrel in the winding chamber, coaxial with the said mandrel along the third axis, the winder being rotatably mounted in at least one direction along the third axis and having on its surface of revolution catching means (14, 16a, 16b) which are configured to catch the strand in the winder's initial position, and then to rotate the said strand during the rotation of the winder, the said winder being configured to successively grasp the proximal end of the strand, concomitantly wind the strand around the mandrel and the said winder, and then completely wind the said strand around the said mandrel, during its rotation. - a winding chamber having a shape of revolution around a second axis, the first axis and the second axis defining a plane, - an insertion slot which extends along the length of the housing in the plane of the side opposite the grip handle, and which leads to the winding chamber, - and an extraction opening arranged in a lateral face of the housing to which the winding chamber leads, characterised in that the appliance comprises: - a mandrel which has one end fixed to the housing and a free end arranged close to the extraction opening, and which extends in the winding chamber along a third axis defined in the plane, the third axis being inclined with respect to the first axis along an angle (α) such that the free end is farther from the grip handle than the fixed end, - a hollow winder with a surface of revolution along the third axis, which is arranged with a first spacing around the mandrel in the winding chamber, coaxial with the said mandrel along the third axis, the winder being rotatably mounted in at least one direction along the third axis and having on its surface of revolution catching means (14, 16a, 16b) which are configured to catch the strand in the winder's initial position, and then to rotate the said strand during the rotation of the winder, the said winder being configured to successively grasp the proximal end of the strand, concomitantly wind the strand around the mandrel and the said winder, and then completely wind the said strand around the said mandrel, during its rotation.