H.D. Sánchez Chávez, L. Flores Cano
We realized a study of the shortest path fractal dimension d_(min) in three dimensions for randomly crumpled paper balls. We took measurements among all possible combinations of pairs of points in crumpled and flat configurations. We found that a correlation between these distances exists, even more, such mean experimental value is d_(min) = 1.2953 ± 0.02 that coincides almost numerically with the very known 3D shortest path fractal dimension for percolation systems reported in computational simulations.
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