Construção dinâmica de fractais do tipo remoção usando o GeoGebra.

Abstract

The present final paper aims to develop a manual for constructions of fractals of the type self-similar, highlighting the commands used in the GeoGebra software to understand how Mathematics and Technology are combined in the construction of these fractals in shape of dynamic art. The fractals developed in this research are: Cantor set, Sierpinski triangle, Sierpinski rug, Menger sponge and Sierpinski tetrahedron. The methodology used is exploratory in nature, as it seeks to investigate and disseminate the main characteristics and phenomena arisen during the creation of this type of fractals using GeoGebra software. The results obtained in this investigation indicate that it is possible combine Mathematics with a technological tool for teaching Geometry Fractal, increasing students’ interest in the applications of Linear Algebra. We conclude that the construction of fractals with the help of technological tools allows show the beauty of mathematics without neglecting the rigor of its concepts and properties.