| Abstract: | We are considering polytopes with exact reflection symmetry group G in the real 3-dimensional Euclidean spaceR3. By changingone simple element of the polytope (position of one vertex or length of an edge), one canretain the exact symmetry of the polytope by simultaneously changing other correspondingelements of the polytope. A simple method of using the symmetry of polytopes in order todetermine several resonant frequencies is presented. Knowledge of these frequencies, or atleast their ratios can be used for control of some principal changes of the polytopes. |
