AXISYMMETRIC AND NONAXISYMMETRIC TOROIDAL VESICLE MEMBRANES

In this report we are going to show that the parametric equation of the Clifford torus used in the brief report, Phys. Rev. A41(1900), 4517, is in consistency with the parametric equation of the Dupin cyclide under the condition c = 0 used in the brief report, Phys. Rev. E47(1993), 747. The necessary and sufficient conditions for the existence of Dupin cyclide vesicle membrane are derived in this report.