Stable phase diagrams of several starfish vesicles

By exploiting the eigenvalues of the Hessian matrix, which are the second derivatives of the bending energy of shapes obtained using the software Surface Evolver, we partly show the stable phase diagrams of several starfish vesicles. The work indicates that most of the phase transforms are discontinuous and most of the nonaxisymmetric shapes are metastable shapes according to the spontaneous curvature (SC) model. We also find two kinds of stable new starfish shapes and a continuous phase transform in the SC model.