ON A FAMILY OF SELF-AFFINE IFS WHOSE ATTRACTORS HAVE A NON-FRACTAL TOP

Let [Formula: see text] and text]. In this paper, we prove that for the vast majority of such parameters top planar attractor IFS is graph a continuous, strictly increasing function. Despite this, most parameters, has lower box dimension greater than 1, showing upper boundary not representative complexity fractal. Finally, if text], then non-empty interior.