A boat hull or an aircraft or spacecraft fuselage is constructed by laying up perforated architectural wood veneer strips which have been designed to create the desired shape and overlap one another. A layer of strips is placed in or on a mold of the final desired shape, with each piece slightly overlapping the previous piece. The strips are bonded to one another using epoxy resin or other adhesives. The thickness of the wood strip at the overlap creates a chaseway of air along the length and ends of the each piece of adjoining wood veneer. The chaseways, in conjunction with perforations made in the wood veneer, permit the infusion of resin and removal of air without requiring any additional medium or device. The gap-filling capability of the epoxy and the thinness of the veneer give the final panel a smooth surface in spite of the veneer overlaps.