Hair-shaping device comprising - a winding core (4, 4.1) for winding a strand of hair (20, 20.1), - a rotatable drivable entraining element (7, 7.1, 7.2), the axis of rotation of which corresponds at least largely to the longitudinal axis of the winding core (4, 4.1), which entraining element (7, 7.1, 7.2) is designed to grasp a strand of hair (20, 20.1) to be wound on the winding core (4, 4.1) and to wind it around the winding core (4, 4.1), and - a housing (3, 3.1, 3.2, 3.3) that at least largely encloses the winding core (4, 4.1), wherein the radial distance of the inside of the housing from the lateral surface of the winding core (4, 4.1) in the region of a winding space (18, 18.1) is selected to be sufficiently large such that the winding of a strand of hair (20, 20.1) onto the winding core (4, 4.1) is not hindered, which housing (3, 3.1, 3.2, 3.3) comprises a slot (9, 9.1, 9.2, 9.3, 9.4) extending in the direction of the longitudinal extension of the winding core (4, 4.1) for inserting a strand of hair (20, 20.1) which is to be shaped, wherein the entraining element (7, 7.1, 7.2) is arranged inside the winding space, and the slot (9, 9.1, 9.2, 9.3, 9.4) is designed for inserting a segment of strand of hair (20, 20.1) which is to be shaped into the winding space (18, 18.1), and extends into the housing part facing the hair pull-in side and bounding the winding space in this direction, to such an extent that a strand of hair (20, 20.1) located into the insertion slot (9, 9.1, 9.3, 9.4) is caught by the entraining element (7, 7.1, 7.2) rotating inside the winding space (18, 18.1), and wherein the housing (3, 3.1, 3.2, 3.3) comprises, for the purpose of supplying heat to a strand of hair (20, 20.1) located in the winding space between the winding core (4, 4.1) and the housing (3, 3.1, 3.2, 3.3) comprises a warm air flow inlet, to which a warm air flow can be applied during operation of the hair-shaping device (1, 1.1, 1.2, 1.3, 1.4, 1.5) in order to form a curl, characterised in that two shaping bodies (34, 34.1) are arranged in the winding space (18.1) at a radial distance interval from the lateral surface of the winding core (4.2), which in their longitudinal extension follow the longitudinal extension of the insertion slot (9.3), wherein the opposing sides of the shaping bodies (34, 34.1) comprise in each case, in opposing regions, at least in sections a shaped surface (35, 35.1), wherein the shaped surfaces (35, 35.1) are held in relation to one another in such a way that a strand of hair can be pulled between the shaped surfaces (35, 35.1), in contact with them. - a winding core (4, 4.1) for winding a strand of hair (20, 20.1), - a rotatable drivable entraining element (7, 7.1, 7.2), the axis of rotation of which corresponds at least largely to the longitudinal axis of the winding core (4, 4.1), which entraining element (7, 7.1, 7.2) is designed to grasp a strand of hair (20, 20.1) to be wound on the winding core (4, 4.1) and to wind it around the winding core (4, 4.1), and - a housing (3, 3.1, 3.2, 3.3) that at least largely encloses the winding core (4, 4.1), wherein the radial distance of the inside of the housing from the lateral surface of the winding core (4, 4.1) in the region of a winding space (18, 18.1) is selected to be sufficiently large such that the winding of a strand of hair (20, 20.1) onto the winding core (4, 4.1) is not hindered, which housing (3, 3.1, 3.2, 3.3) comprises a slot (9, 9.1, 9.2, 9.3, 9.4) extending in the direction of the longitudinal extension of the winding core (4, 4.1) for inserting a strand of hair (20, 20.1) which is to be shaped,