Shortest path fractal dimension for randomly crumpled thin paper sheets

Authors

  • Hugo David Sánchez Chávez Universidad Tecnológica de la Mixteca
  • Leonardo Flores Cano Universidad Tecnológica de la Mixteca

DOI:

https://doi.org/10.31349/RevMexFis.64.415

Keywords:

Shortest path fractal dimension, Crumpled paper balls, Percolation

Abstract

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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Published

2018-06-28

How to Cite

[1]
H. D. Sánchez Chávez and L. Flores Cano, “Shortest path fractal dimension for randomly crumpled thin paper sheets”, Rev. Mex. Fís., vol. 64, no. 4 Jul-Aug, pp. 415–419, Jun. 2018.

Issue

Vol. 64 No. 4 Jul-Aug (2018): Revista Mexicana de Física

Section

13 Optics

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.