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Here is a more interesting example of a Chladni pattern which Chladni would have appreciated. Some violin makers use Chladni diagrams as they make a violin. This set of images shows the vibration modes of a violin. Each picture represents a different frequency, increasing from left to right, top to bottom. Note the unusual criss-crossing patterns at higher frequencies.

Since a violin has a more complicated shape than a circular drum, the standing waves have a much richer structure, as do the sounds.

Reference:

[1] http://www.phys.unsw.edu.au/~jw/chladni.html