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Much is known in the analysis of a finitely ramified self-similar fractalwhen the fractal has a harmonic structure: a Dirichlet form which respects theself-similarity of a fractal. What is still an open question is when suchstructure exists in general. In this paper, we introduce two fractals, thefractalina and pillow, and compute their resistance scaling factor. This is thefactor which dictates how the Dirichlet form scales with the self-similarity ofthe fractal. By knowing this factor one can compute the harmonic structure onthe fractal. The fractalina has scaling factor $(3+\sqrt{41})/16$, and thepillow fractal has scaling factor $\sqrt[3]{2}$.

Computation of the scaling factor of resistance forms of the pillow and fractalina fractals