O processo de construção dos poliedros de Arquimedes: uma visão di nâmica a partir do GeoGebra

Abstract

The central theme of this work is Archimedes' Polyhedrons. In it we seek to present the process of construction of these solids from the polyhedrons of Plato. For this, several constructions were realized from the software of dynamic mathematics, GeoGebra. Thus, the central objectives of this work are: to present the process of obtaining Archimedean solids from the Platonic with the visual support of constructions made by us in GeoGebra and to show the main ideas that will allow the reader to try to reproduce these files in ggb format or to produce others for the same purpose. In addition, a brief exposition of the history related to the subject is presented, dealing with correlated subjects and showing who were the main mathematicians involved, especially Archimedes. The proposed objectives have been achieved since the constructions are ready and available to the public in the repository of materials on the official GeoGebra website. It is assumed that the reader of this work already has basic knowledge in the area of Geometry (flat, spatial and analytical), as well as some familiarity with the GeoGebra software interface. This work did not focus on the production of didactic material that could be worked on in basic education classes. However, we seek to create a presentation that allows a professor or undergraduate student to introduce the theme, and it is up to them to define their use of the knowledge acquired, since, although Archimedean Polyhedrons are not part of the content provided in the curriculum of this level of teaching, depending on the approach taken by the teacher, this study can contribute to the development of the reasoning and to the expansion of the spatial vision of school students, skills that are certainly desirable.