The Development of Transition Pieces Using Triangulation

A transition piece connecting a rectangular section to a circular section may be a warped or double-curved surface. This type of surface is, strictly speaking, undevelopable. However, the surface can be developed by considering it to be made up of a series of triangles. This paper is concerned with the selection of these triangles so that the result is a satisfactory development which avoids kinks in the final surface. Contour lines are used to indicate whether kinks will be present in the formed surface.