FRACTAL DIMENSION AND SELF-SIMILARITY IN ASPARAGUS PLUMOSUS

Author:

CASTREJÓN PITA J. R.1,SARMIENTO GALÁN A.2,CASTREJÓN GARCÍA R.3

Affiliation:

1. Centro de Investigación en Energía UNAM, Ap. Postal 34, 62580 Temixco, Morelos, México

2. Instituto de Matemáticas UNAM, Av. Universidad s/n, 62200 Chamilpa, Morelos, México

3. Instituto de Investigaciones Eléctricas, Av. Reforma 113, 62490 Temixco, Morelos, México

Abstract

We measure the fractal dimension of an African plant that is widely cultivated as an ornamental – the Asparagus plumosus. This plant presents self-similarity, remarkable in at least two different scalings. In the following, we present the results obtained by analyzing this plant via the box counting method for three different scalings. We show in a quantitative way that this species is a fractal.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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