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We present a direct proof of the non-degeneracy of the harmonic structures onthe level-$n$ Sierpinski gaskets for any $n\geq 2$, which was conjectured byHino in [H1,H2] and confirmed to be true by Tsougkas [T] very recently usingTutte's spring theorem.

A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets