Geometric constructions with Origami and the Galois theory

Abstract

The surprising connection between geometric constructions made with Origamiand Galois Theory will be explored. Like classic constructions, Origami constructions havean algebraic interpretation through the Theory of Galois, and in both contexts it proves tobe a powerful geometric tool. In this sense it will be necessary to assimilate some of thebasic concepts of Galois Theory, in geometric constructions made with ruler and compassto later analyze and understand how the geometric constructions made with Origami solvesome of the classic geometry problems that are insoluble via ruler and compass. Moreover, was also a goal of this text to introduce Galois theory in as accessible a manner as possible
for an undergraduate audience.