Construction and Analysis of Kepler’s Cosmographic Mystery, for Learning the Platonic Solids Using Mathematica

This research work revolves around the need to learn regular polyhedral constructions and find the relationships that exist with the spheres that inscribe them in the structure of Kepler’s Cosmographic Mystery. We often do not realize that polyhedra are present in almost everything around us, and that throughout history, man has been fascinated by Platonic solids. At present, students live in reverse in the massive use of electronic equipment in their learning, as well as software and applications. Given the high demand for the acquisition of digital skills worldwide, students can be motivated to strengthen their learning of mathematics and acquire programming skills by observing, analyzing and arguing a programming strategy to design the Cosmographic Mystery of Kepler, also the existing relationships in the structure under study. Therefore, through this work, it is intended to provide the teacher with resources and programming skills for the teaching of regular polyhedra. Mathematica software has been considered for its high programming and display quality. In addition, the Wolfram programming language is accessible through the Raspberry computer. The objective of the research work is to provide a working methodology for the study of regular polyhedra and acquire programming skills. Also, strengthen their observation and analysis skills from their models for the design of Platonic polyhedra through the programming language, allowing students to explore 3D spaces.