Fractal dimensions of a green broccoli and a white cauliflower
Disordered Systems and Neural Networks
2007-05-23 v1
Abstract
The fractal structures of a green broccoli and a white cauliflower are investigated by box-counting method of their cross-sections. The capacity dimensions of the cross-sections are for a green broccoli and for a white cauliflower, and both are independent of their directions. From the results we predict that the capacity dimensions of the bulks are about 2.7 for a green broccoli and for a white cauliflower. The vertical cross-sections of the two plants are modeled into self-similar sets of triangular and rectangular trees. We discuss the conditions of the fractal objects in the model trees.
Cite
@article{arxiv.cond-mat/0411597,
title = {Fractal dimensions of a green broccoli and a white cauliflower},
author = {Sang-Hoon Kim},
journal= {arXiv preprint arXiv:cond-mat/0411597},
year = {2007}
}
Comments
5 pages, 8 figues