| Popis: |
Form variations are described in an appropriately constructed form space F (typically an R n ), where every point of F represents a different form. Regarding the symmetries of the forms, F can be divided into disjunct isosymmetric manifolds, i.e., points, lines, surfaces, and volumes whose points correspond to forms with equal symmetries. These manifolds are derived from a symmetry analysis of possible deformations of the forms. This analysis is comparable to the construction of symmetry coordinates in a normal coordinate analysis of molecules and results in normal modes of deformation (“normal deformations”) of these forms. From the symmetry species of a normal deformation, the symmetry of the resulting form can be inferred. Transformation of the form space coordinates into normal coordinates (the differentials of which are the normal deformations) facilitates the description of the high-dimensional form spaces and can be made the basis of an easy symmetry diagnosis of forms. Furthermore, the problem of an ascent in symmetry by deformation is discussed. |
