Abstract: A method of tacking a honeycomb core to a base sheet, the core member having coatings of adhesive, one provided on the ends of the cells of each face of the core. The core is engaged with the base sheet so that one coating of adhesive contacts the base sheet while moving the core and the base sheet as a unit along a rectilinear path of travel. While engaging the core with the base sheet, the base sheet is (a) heated to temperatures within a wetting temperature of the adhesive but below the curing temperature of the adhesive, (b) maintained at temperatures within said wetting temperature range for a time sufficient to allow the one coating of adhesive to be heated, to flow and to form a fillet between the base sheet and the core but insufficient to allow undue heating of the other coating of adhesive, and (c) the base sheet, the adhesive, and the core are rapidly cooled to a discharge temperature which is below the wetting temperature range of the adhesive, thereby to tack the core to the base sheet.