| The first section of the paper is Preliminaries. At the second part, for given n ≥ 4, some convex n-gons in R2 are obtained, which of them aren't the attractors for any set of similitudes satisfying an open set condition; furthermore, in the means of Hausdorif distance of X, all convex n-gons composed, which aren't the attractors for any set, of similitudes satisfying an open set condition, contains a dense open set in the space (X, dH). We get some relative results about the position and figure of similar fractals at the final part of the paper. |
