Abstract
Numerical method for analyzing pattern formation on a curved surface is investigated in this study. A multiphase-field model is applied, and the equations are solved by the finite difference method. The lattice points for the numerical integration are disposed on a spherical surface. In our previous study, several regular patterns such as barrel-shaped hexahedron and regular dodecahedron are obtained for a certain sphere. In this study, the radius of the spheres are varied, and the dependency of the pattern on the radius or curvature of the surface is examined. As a result, a drastic transition is observed at a threshold radius.
