Abstract: The invention relates to a device for producing essentially cone-shaped flat bodies, whose surface area consists of n attached segments, (preferably 4, 6, 8), each composed of a number of attached glass pieces connected to one another, particularly Tiffany-style lampshades, whereby the boundary lines of adjoining segments lie in a common plane or a straight line, having a base body or form cone for placing glass pieces to be soldered, a bottom plate placed at the form cone and a rod, that is positioned in the middle of the bottom plate and form cone.