An apparatus for cutting a honeycomb half-cell structure into sheets includes a blade for cutting the structure and a conveyor for positioning a length of the half-cell structure so that the blade cuts across the diagonal surface of the half-cell structure, thereby forming the sheets. The conveyor comprises platens including a plurality of bars contacting the valleys on one side of the half-cell structure and a space between each consecutive bar. The half-cell structure is cut along the diagonal surface alternating between one side of a first predetermined bar and one side of a second predetermined bar. A process for cutting a half-cell structure into sheets includes positioning a length of the half-cell structure so that the diagonal surfaces of the structure are positioned adjacent a blade for cutting and cutting across the diagonal surface to form the sheets. A honeycomb core is made by this process, where the honeycomb core includes a plurality of sheets cut across the diagonal surface of the half-cell structure.