2004/11/24 by Sang-Hoon Kim, Kim, Sang-Hoon · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Dynamics and Fractals #Theoretical and Computational Physics #Topological and Geometric Data Analysis #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.cond-mat/0411597
5 pages, 8 figues
arxiv created 2004/11/24 · openalex publication_date 2004/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.