  Fractal geometry is the study of sets which exhibit the same pattern at
multiple scales. Developing tools to study these sets is of great interest. One
step towards developing some of these tools is recognizing the duality between
topological spaces and commutative $C^\ast$-algebras. When one lifts the
commutativity axiom, one gets what are called noncommutative spaces and the
study of noncommutative geometry. The tools built to study noncommutative
spaces can in fact be used to study fractal sets. In what follows we will use
the spectral triples of noncommutative geometry to describe various notions
from fractal geometry. We focus on the fractal sets known as the harmonic
Sierpinski gasket and the stretched Sierpinski gasket, and show that the
spectral triples constructed by Christensen, Ivan, and Lapidus in 2008 and
Lapidus and Sarhad in 2015, can recover the standard self-affine measure in the
case of the harmonic Sierpinski gasket and the Hausdorff dimension, geodesic
metric, and Hausdorff measure in the case of the stretched Sierpinski gasket.
