A contact body for an evaporation humidifier or material exchanger, is formed of corrugated material layers. The novel contact body has material layers which are a thermoplastic plastic and are interconnected by welding and/or bonding and or a positive fit. The corrugation axes at two longitudinal edges of each material layer form a corrugation axis section that runs approximately in an orthogonal direction in relation to the respective longitudinal edge and the axes between the corrugation axis sections have oblique regions that run in at least two different directions with at least one change of direction in between, in such a way that in each material layer the corrugation axes change direction at least three times. The corrugation axes in a first oblique area lie at an angle α1 to the neighboring longitudinal edge and in a second oblique area lie at an angle α2 to the other longitudinal edge. The angles α1 and α2 are between 30° and 60°. The maximum height of the corrugated material layers is 12 mm.