A random matrix model to describe the coupling of m-fold symmetry is
constructed. The particular threefold case is used to analyze data on
eigenfrequencies of elastomechanical vibration of an anisotropic quartz block.
It is suggested that such experimental/theoretical study may supply a powerful
means to discern intrinsic symmetry of physical systems.Comment: 12 pages, 3 figures Contribution to the International Workshop on
Nuclei and Mesoscopic Physics (WNM07), 20-22 October, Michigan Sate
University, East Lansing, Michigan. To appear in a AIP Proceeding (Pawel
Danielewicz, Editor