A medicine tablet (10) has a preformed unitary core (13) enrobed by a hard gelatin coating (12) which is stretched around the core and is sealed in edge-to-edge manner at all locations along a seam (15) which encircles the core. The enrobed tablet is made by introducing a core into contact with two plastic and elastic gelatin films (36, 37) at a nip between two rotary discs (38, 39) across the recessed (108) surfaces of which the films are tensioned. The core is contacted with the films at locations over the recesses so that die rotation causes the films to stretch in the recesses around the core into conformance with the contours and to seal to each other along the seal line. The films are then severed along that line. The films, as applied to the core, adhere tightly to the core and dry to a hard state.