Abstract: This talk is based on the paper `` Dirac operators and Geodesic metric on Harmonic Sierpienski gasket and other fractals" by Lapidus and Sarhad. First, the Sierpinski gasket will be introduced as the unique fixed point of a certain contraction on the set of compact subsets of the Euclidean plane. Then, by defining the graph approximation of the Sierpinski gasket, I will define the energy form on that space. I will talk about Kusuoka's measurable Riemannian geometry on the Sierpinski gasket and introduce counterparts of the Riemannian volume, the Riemannian metric and the Riemannian energy in that setting. Thereafter harmonic functions on the Sierpinski gasket will be introduced as energy minimizing functions. Using those functions we can define the harmonic gasket. I will also talk about Kigami's geodesic metric on the harmonic gasket. Using a spectral triple on the unit circle, a Dirac operator and a spectral triple for the Sierpinski gasket and the harmonic gasket will be constructed. Next, we will see that Connes' distance formula of noncommutative geometry which provides a natural metric on these fractals, is the same as the geodesic metric on the Sierpinski gasket and the kigami's geodesic metric on the harmonic gasket. It will be shown also that the spectral dimension of the Sierpinski gasket is the same as its Hausdorff dimension. Finally some conjectures about the harmonic gasket will be stated.