  ``Can one hear the shape of a drum?'' was a question posed (and made famous)
by mathematician Mark Kac in the mid-1960s. It addresses whether a deeper
connection exists between the resonance modes (eigenmodes) of a drum and its
shape. Here we propose a numerical experiment, suitable for advanced
undergraduate physics students, on the calculation of the eigenmodes of a
square Koch fractal drum, for which experimental results do exist. This
exercise is designed to develop the students' understanding of the vibrations
of fractal drums, their eigenmodes, and potentially their integrated density of
states. The students calculate the lowest order eigenmodes of the fractal drum,
visualize these modes, and study their symmetry properties. As an extension,
the students may investigate the integrated density of states of the fractal
drum and compare their findings to the Weyl-Berry conjecture.
