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In this paper two types of tree patterns, tree-type tree and aegagropila-type tree patterns which are formed in plastic insulating materials under the electric field applied are analyzed using fractal dimensions introduced by Mandelbrot. The fractal dimension of those tree patterns is calculated by gyration method and cover method. Results obtained are : -The gyration method is unsuitable for tree-type tree patterns but the cover method applicable to both type patterns. -The value of fractal dimension lies between 1.44 and 1.66 for tree-type trees and between 1.94 and 1.96 for aegagropila-type trees. -The fractal dimension computed by the gyration method gives rise to a little bit less values compared to the cover method.
東海大学の論文