Fractal dimensions of a green broccoli and a white cauliflower
Kim, Sang-Hoon
Original · EN
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 ± 0.02 for a green broccoli and 1.88 ± 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. 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.
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