%0 Journal Article
%A LLorente Comí, Marta
%A Mera Rivas, María Eugenia
%A Morán Cabré, Manuel
%T On the packing measure of the Sierpinski gasket
%D 2018
%@ 0951-7715
%U https://hdl.handle.net/20.500.14352/18928
%X We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/(log2)) is the similarity dimension of S, satisfies 1.6677≤P^{s}(S)≤1.6713.We present a formula (see Theorem 6) that enables the achievement of the above measure bounds for this non-totally disconnected set as it shows that the symmetries of the Sierpinski gasket can be exploited to simplify the density characterization of P^{s} obtained in Morán M. (Nonlinearity, 2005) for self-similar sets satisfying the so-called Open Set Condition. Thanks to the reduction obtained in Theorem 6 we are able to handle the problem of computability of P^{s}(S) with a suitable algorithm.
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