Purposeo f the shape analysis is to find the mechanically rational form for many kind of structures, for example, membrane structures, suspended cables, and so on. The perfect equilibrium solutions with isotonic tensile can be obtained by shape analysis using tangent stiffness method.The solutions constitute the polyhedrons which can be similar in curved surfaces of soap film. When we evaluate the polyhedron equilibrium solutions, the approximation performance is depending on their mesh density and mesh distribution. This study proposes a new technique to obtain the polyhedron solutions which can express smooth surfaces by parallel calculation of soap film analysis only to normal direction and axial line analysis in tangent plane of the surface. By using this technique, node distribution becomes more rational and larger compulsoiy displacement can be adopted when the simultaneous control is used as the incremental method.
