The Koch snowflake is a well known self-similar set whose boundary is a fractal curve. Suppose a vibrating membrane with fixed boundary, i.e. a drum, is shaped like a Koch snowflake. The fundamental modes of vibration of this drum can be modelled by the eigenfunctions of the Laplacian on the snowflake. These, in turn, can be approximated by a discrete problem leading to a matrix eigenvalue prob...

Ø å Ú ë â Ý ä Ý ì ì ã ë Ø ç Ü ä Ø Author affi liations: Assistance Publique– Hôpitaux de Marseille, Marseille, France (M. Foissac, M. Million, C. Mary, J.-P. Dales, R. Piarroux, P. Parola); Aix-Marseille Université, Marseille (M. Foissac, M. Million, C. Mary, J.-P. Dales, P. Parola); and Hôpital d’Instruction des Armées SainteAnne, Toulon, France (J.-B. Souraud) DOI: http://dx.doi.org/10.3201/e...