Construction of the Regular Dodecahedron with the MATHEMATICA

Abstract

Man is always curious about the patterns and beauty of platonic solids. Throughout history it has shaped them into artistic works, even today it uses them in technological models; likewise nature has adopted its geometric patterns. Through the development of digital technologies, geometric designs are made using the architecture of Platonic solids. The object of study and construction in this work is the Dodecahedron using Wolfram Mathematica 11.2 Software. For this, an efficient logical language will be used, framed within the discipline of geometry, where relationships and hierarchies are established in reasoning through the programming language, allowing its architecture to be associated with creations of man, objects and organisms of nature.