Fractal structure of a white cauliflower
Materials Science
2007-05-23 v1 Soft Condensed Matter
Abstract
The fractal structure of a white cauliflower is investigated by box-counting method of its cross-section. The capacity dimension of the cross-section is independent of directions. From the result, we predict that the capacity dimension of the cauliflower is about 2.8. The vertical cross-section of the cauliflower is modeled into a self-similar set of a rectangular tree. We discuss the condition of the fractal object in the tree, and show that the vertical cross-section has an angle of 67 degrees in our model.
Cite
@article{arxiv.cond-mat/0409763,
title = {Fractal structure of a white cauliflower},
author = {Sang-Hoon Kim},
journal= {arXiv preprint arXiv:cond-mat/0409763},
year = {2007}
}
Comments
6 pages, 4 figures