Shortest path fractal dimension for randomly crumpled thin paper sheets
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| Format: | Artículo científico |
| Sprache: | en |
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Sociedad Mexicana de Física A.C.
2018
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| _version_ | 1876439540106788864 |
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| author | H. D. Sanchez-Chávez |
| author_facet | H. D. Sanchez-Chávez |
| contents | Shortest path fractal dimension for randomly crumpled thin paper sheets H. D. Sanchez-Chávez L. Flores-Cano Física, Astronomía y Matemáticas percolation crumpled paper balls Shortest path fractal dimension We realized a study of the shortest path fractal dimension dmin 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 ± 0.02 that coincides almost numerically with the very known 3D shortest path fractal dimension for percolation systems reported in computational simulations. 2018 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082914009 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.64 |
| format | Artículo científico |
| id | redalyc_57082914009 |
| institution | Redalyc |
| language | en |
| publishDate | 2018 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Shortest path fractal dimension for randomly crumpled thin paper sheets H. D. Sanchez-Chávez Física, Astronomía y Matemáticas percolation crumpled paper balls Shortest path fractal dimension Shortest path fractal dimension for randomly crumpled thin paper sheets H. D. Sanchez-Chávez L. Flores-Cano Física, Astronomía y Matemáticas percolation crumpled paper balls Shortest path fractal dimension We realized a study of the shortest path fractal dimension dmin 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 ± 0.02 that coincides almost numerically with the very known 3D shortest path fractal dimension for percolation systems reported in computational simulations. 2018 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082914009 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.4 Vol.64 |
| title | Shortest path fractal dimension for randomly crumpled thin paper sheets |
| topic | Física, Astronomía y Matemáticas percolation crumpled paper balls Shortest path fractal dimension |
| url | https://www.redalyc.org/articulo.oa?id=57082914009 |