  For each K-homolgy element of the Sierpinski gasket we construct a spectral
triple which will generate that element. We show that there must be certain
limits on the choice of the K-homology element if the geometric properties of
the gasket shall be recoverable from that spectral triple. For a big subgroup
of the K-homology group we show that our spectral triples will recover the
metric, the dimension and the Hausdorff measure on the gaket.
