Abstract

SANCHEZ-CHAVEZ, H.D.  and  FLORES-CANO, L.. Shortest path fractal dimension for randomly crumpled thin paper sheets. Rev. mex. fis. [online]. 2018, vol.64, n.4, pp.415-419. ISSN 0035-001X.

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 dmin = 1.2953$\pm$0.02 that coincides almost numerically with the very known 3D shortest path fractal dimension for percolation systems reported in computational simulations.

Keywords : Shortest path fractal dimension; crumpled paper balls; percolation; 89.75.Fb; 05.45.Df; 46.65.+g.

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