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Images of a vibrating Kochdrum

Mark McClure
Organization: University of North Carolina at Asheville
Journal / Anthology

Chaos and Graphics
Year: 2008
Volume: 32
Issue: 6
Page range: 711-715

We illustrate thevibrational modes of a drum shaped like the Koch snowflake. Vibrational modes are computed using a fairly standard finite difference technique applied to a recently published discrete approximation to the snowflake. The computations are all performed in Mathematica 6.0 that has substantial graphical improvements over Mathematica 5.2. In particular, vertex normals may be specified to achieve a smoothing effect of the surface of a three-dimensional vibrational plot and colors may be interpolated throughout polygons to allow a smooth color gradation in contour plots.