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Recently, see [1], Alabdullah and Hirschfeld introduce the type of a point. This simple and original concept allow us to characterize the set of external points of a conic in PG, (2, q) odd, within a class of three-character sets.

}\BSTRACTThe aim of this paper is the construction (j)f an incidence structure, called KLEIN'S DISCRETE MODEL 'X, which can be regarded as an analogous model to Klein's real model. The construction is done by fixing a conic