<p>Heat-exchange bodies (25) with the means of supplying a heat-exchange medium and carrying it away with corresponding connections (71,72) are designed for through-flow with a free-flowing heat-exchange medium (Wm) with thermoplastic cavity plates (250). A sculptured center layer has multiple cover plates arranged with a clearance from each other. An independent claim is also included for a method for producing heat-exchange plates for a heat-exchange device.</p>