Two spectral triples are introduced for a class of fractals in R^n. The
definitions of noncommutative Hausdorff dimension and noncommutative tangential
dimensions, as well as the corresponding Hausdorff and Hausdorff-Besicovitch
functionals considered in math.OA/0202108, are studied for the mentioned
fractals endowed with these spectral triples, showing in many cases their
correspondence with classical objects. In particular, for any limit fractal,
the Hausdorff-Besicovitch functionals do not depend on the generalized limit
procedure.Comment: 24 pages, 4 figures. To appear in Proceedings of the Conference
"Operator Algebras and Mathematical Physics" held in Sinaia, Romania, June
2003, O. Bratteli, R. Longo H. Siedentop Eds., Theta Foundation, Bucares
