We consider spaces of piecewise polynomials of degree d defined over a triangulation of a polygonal domain and possessing r continuous derivatives globally. Morgan and Scott constructed a basis in the case where r = 1 and d -> 5. The purpose of this paper is to extend the dimension part of their result to r->0 and d>-4r+l. We use B6zier nets as a crucial tool in deriving the dimension of such spaces.
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