The intersection of cylindrical and conical tubes is very common in process plants. The intersection of nozzles or inlet/outlet pipes with a pressure vessel falls into this category. These intersecting pieces may have their axes intersecting or offset, with any angle of inclination between them. An algorithm has been presented to obtain the developed view of intersection joints when the geometries and the position of the axes of the intersecting pieces are known. The intersection boundaries on the developed surfaces are calculated. A methodology to obtain the required dimensions for developing the surfaces has been presented. Results of an illustrative problem have been presented and discussed. © 1989.