  We define a Hastings-Levitov$(0)$ process on a cylinder and prove that the
process converges to Stationary Hastings Levitov$(0)$ under appropriate
particle size scaling that depends on the radius of the cylinder. The
Stationary Hastings Levitov$(0)$ was shown by Berger, Procaccia and Turner to
admit tight particle sizes, without a priori particle size normalization, thus
it serves as a good model for the phenomenon of diffusion limited aggregation.
Technical challenge, in this paper, is in taking the spatial limit together
with the correct slit map normalization. This result also shows that the early
life of the Hastings Levitov$(0)$ process in the small particle limit,
spatially scaled so the slits have unit length, behaves like the Stationary
Hastings Levitov$(0)$.
