Modelagem via fusion 360 e impressão 3D no ensino de geometria

Abstract

Mathematical modeling seeks to bridge the gap between theoretical content and concrete objects. In this context, Autodesk Fusion 360 stands out as a powerful geometric modeling tool, enabling detailed study and visualization of solids from multiple perspectives. Coupled with 3D printing, this methodology transforms theoretical perception into manipulable physical objects. This paper presents instructions for 3D construction and modeling via Fusion 360 and the slicing of these solids, exploring geometric definitions and Boolean operations to analyze volumetric relationships—such as the volume of a sphere via the Anticlepsydra and the decomposition of a triangular prism into three pyramids of equivalent volume. In addition to algebraic demonstrations, the text encourages the use of digital tools for creating functional objects. The proposal was applied in a short course for high school students, integrating the teaching of 2D and 3D geometry into a real-world modeling and 3D printing process. The final stage of this work consisted of developing GeoEscola, a Python-based addin for Autodesk Fusion 360 designed to optimize geometric modeling in educational environments. This tool eliminates manual processes, such as 2D sketching and extrusions, replacing them with a direct input interface. By entering numerical variables—suchas height, length, radius, angles, and the number of edges—GeoEscola triggers algorithms that automatically generate pre-defined solids, including the anticlepsydra, pyramids, and cone shells, among others.