  It had been conjectured that Diffusion Limited Aggregates and Laplacian
Growth patterns (with small surface tension) are in the same universality
class. Using iterated conformal maps we construct a 1-parameter family of
fractal growth patterns with a continuously varying fractal dimension. This
family can be used to bound the dimension of Laplacian Growth patterns from
below. The bound value is higher than the dimension of Diffusion Limited
Aggregates, showing that the two problems belong to two different universality
classes.
