  A formula for the interior epsilon-neighborhood of the classical von Koch
snowflake curve is computed in detail. This function of epsilon is shown to
match quite closely with earlier predictions of what it should be, but is also
much more precise. The resulting `tube formula' is expressed in terms of the
Fourier coefficients of a suitable nonlinear and periodic analogue of the
standard Cantor staircase function and reflects the self-similarity of the Koch
curve. As a consequence, the possible complex dimensions of the Koch snowflake
are computed explicitly.
