  An intermediate stage in Hrushovski's construction of flat strongly minimal
structures in a relational language L produces omega-stable structures of rank
omega. We analyze the pregeometries given by forking on the regular type of
rank omega in these structures. We show that varying L can affect the (local)
isomorphism type of the pregeometry, but not its finite subpregeometries. A
sequel will compare these to the pregeometries of the strongly minimal
structures.
