A research about fractal geometry

• Grant number: 19/18819-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2019
• End date: November 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Tatiana Miguel Rodrigues
• Grantee: Patricia Bertini da Silva
• Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil

Abstract

This work is about Fractal Geometry. During the development of this project the student will come into contact with a new Geometry, different from the Euclidean learned in the under degree course, where it is possible the occurrence of objects with fractional dimension, for example. Once familiar with the subject she will use the Geogebra software from which to obtain the fractals she has studied and will be able to compare what she has learned theoretically with the visual result. After this step we will start a theoretical study on nonlinear fractals, settling the study with the Mandelbrot and Julia fractals.