Parametric process of a box-counting model for evaluation of fractal compositions

Pedro Oscar Pizzetti Mariano; Gabriela Pinho Mallmann

doi:10.37916/arq.urb.vi31.517

Authors

Pedro Oscar Pizzetti Mariano Universidade Federal de Santa Catarina https://orcid.org/0000-0002-0552-7018
Gabriela Pinho Mallmann Universidade Federal de Santa Catarina https://orcid.org/0000-0001-8285-6432

DOI:

https://doi.org/10.37916/arq.urb.vi31.517

Keywords:

Parametric process, Box-counting, Fractal

Abstract

his article seeks to create and evaluate a parametric process that allows identifying the D dimension in fractal compositions through a Box-counting tool. The use of this method in a parametric process allows sequential tests that can confirm whether a composition is a fractal structure. The theoretical survey and the development of a parametric process in a visual algorithm were carried out for the development of this research. The tests with the tool took place in linear fractal compositions already known and developed in another research. As a result, it was possible to compare the D dimension of different compositions, made with fractal geometric patterns. In the conclusion, it was possible to observe that the process through a parametric tool was successful in making it possible to evaluate compositions and arrangements in an agile way. A direct relationship was identified between the iterations used and the proportional increase dimension D.

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Author Biographies

Pedro Oscar Pizzetti Mariano, Universidade Federal de Santa Catarina

Possui graduação em Arquitetura e Urbanismo pela Universidade do Estado de Santa Catarina - UDESC (2014). Pós-graduação em Arquitetura, Construção e Gestão de Edificações Sustentáveis, pela AVM Faculdade Integrada (2016). Mestre pelo programa Pós-Arq UFSC. E atualmente é doutorando pelo Pós-Arq UFSC.

Gabriela Pinho Mallmann, Universidade Federal de Santa Catarina

Undergraduate student in Architecture and Urbanism at the Federal University of Santa Catarina (UFSC). Currently she is a fellow of the PET group (Tutorial Education Program) of the Department of Architecture and Urbanism at UFSC.

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