2026-06-07T19:59:23Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/952942025-08-28T14:46:27Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Mera Rivas, María Eugenia author Morán Cabré, Manuel author 2023 We compute the centred Hausdorff measure, Cs(P) ∼ 2.44, and the packing measure, Ps(P) ∼ 6.77, of the penta-Sierpinski gasket, P, with explicit error bounds. We also compute the full spectra of asymptotic spherical densities of these measures in P, which, in contrast with that of the Sierpinski gasket, consists of a unique interval. These results allow us to compute the irregularity index of P, I(P) ∼ 0.6398, which we define for any self-similar set E with open set condition as I(E) = 1 − (Cs(E)/Ps(E)) . Mera, M.E., Morán, M. Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket. Mediterr. J. Math. 20, 322 (2023). https://doi.org/10.1007/s00009-023-02528-6 1660-5446 10.1007/s00009-023-02528-6 https://hdl.handle.net/20.500.14352/95294 1660-5454 https://www.doi.org/10.1007/s00009-023-02528-6 Irregularity Index and Spherical Densities of the Penta-Sierpinski Gasket