Shortest path fractal dimension for randomly crumpled thin paper sheets

• H.D. Sánchez-Chávez ^[1] ; L. Flores-Cano ^[1]
  1. [1] Universidad Tecnológica de la Mixteca

     Universidad Tecnológica de la Mixteca

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 4, 2018, págs. 415-419
• Idioma: inglés
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• Resumen

  • 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.