Shortest path fractal dimension for randomly crumpled thin paper sheets

Shortest path fractal dimension for randomly crumpled thin paper sheets

We realized a study of the shortest path fractal dimension  in three dimensions for randomly crumpled paper balls. We took measurements between all possible combinations of pairs of points in crumpled and flat configurations, we found that a correlation between these distances exist, even more, such...

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Veröffentlicht in:Revista mexicana de física 2018-08, Vol.64 (4 Jul-Aug), p.415-419
Hauptverfasser: Sánchez Chávez, Hugo David, Flores Cano, Leonardo
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Flores Cano, Leonardo
description We realized a study of the shortest path fractal dimension  in three dimensions for randomly crumpled paper balls. We took measurements between all possible combinations of pairs of points in crumpled and flat configurations, we found that a correlation between these distances exist, even more, such mean experimental value is dmin=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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title Shortest path fractal dimension for randomly crumpled thin paper sheets
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