Fractal structure of a white cauliflower
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 $1.88 \pm 0.02$ 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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2004
- DOI:
- 10.48550/arXiv.cond-mat/0409763
- arXiv:
- arXiv:cond-mat/0409763
- Bibcode:
- 2004cond.mat..9763K
- Keywords:
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- Materials Science;
- Soft Condensed Matter
- E-Print:
- 6 pages, 4 figures