Fractal Geometry was developed to understand the geometry of irregular sets which was not possible using methods from classical Euclidean geometry. The setting of a similitude Iterated Function System (IFS) has provided a sufficiently easy environment to produce highly irregular sets which are fractals. In this book, the notion of scaled IFS is defined and its existence conditions are examined. A lower and upper bounds for the Hausdorff dimension of the attractor of a scaled IFS is obtained. We have explained the construction of some super self similar sets. The topology induced by Hausdorff...
Fractal Geometry was developed to understand the geometry of irregular sets which was not possible using methods from classical Euclidean geometry. Th...