Hyperbolization of the limit sets of some geometric constructions
Hyperbolization of the limit sets of some geometric constructions
Inspired by the construction of Sierpi?ski carpets, we introduce a new class of fractal sets. For a such fractal set K, we construct a Gromov hyperbolic space X (which is also a strongly hyperbolic space) and show that K is isometric to the Gromov hyperbolic boundary of X. Moreover, under …