{"title":"随机折叠薄纸的最短路径分形维数","authors":"H. S. Sánchez Chávez, Leonardo Flores Cano","doi":"10.31349/revmexfis.64.415","DOIUrl":null,"url":null,"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.","PeriodicalId":207412,"journal":{"name":"Revista Mexicana de Física","volume":"109 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Shortest path fractal dimension for randomly crumpled thin paper sheets\",\"authors\":\"H. S. Sánchez Chávez, Leonardo Flores Cano\",\"doi\":\"10.31349/revmexfis.64.415\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":207412,\"journal\":{\"name\":\"Revista Mexicana de Física\",\"volume\":\"109 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Revista Mexicana de Física\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31349/revmexfis.64.415\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Revista Mexicana de Física","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31349/revmexfis.64.415","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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 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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