Dendritic structures can be characterized by parameters, which describ
e the integral dendrite. The fractal dimension is an example of such a
n integral parameter. We have determined the fractal dimension d(f) of
the contour of the projection of a dendrite at various supercoolings
over a range of more than two orders of magnitude in length scale. d(f
) does not depend on supercooling. d(f) = 1.42+/-0.05.