English

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 1.78±0.021.78 \pm 0.02 for a green broccoli and 1.88±0.021.88 \pm 0.02 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 2.8.2.8. 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.

Keywords

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