2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226034We show that in general a spacetime having a quantum group symmetry has also a scale dependent fractal dimension which deviates from its classical value at short scales, a phenomenon that resembles what observed in some approaches to quantum gravity. In particular we analyze the cases of a quantum sphere and of $\k$-Minkowski, the latter being relevant in the context of quantum gravity.4 pages, 2 figures; some minor corrections; reference addedHigh Energy Physics - Theorytext