The euclidean icosahedron

Abstract

Euclidean's description of the construction of regular or Platonic solids in the \emph{Elements} is quite detailed and precise for each of the five cases. However, Euclid's difficulties in representing spatial figures on the plane (the concept of perspective was still many years away from being invented) are an obstacle to the fluidity of reading. Having technological advances such as Geogebra, for example, allows us to facilitate this reading. In particular, the icosahedron is one of the most difficult drawings to follow, which is why we dedicate this essay to that exhibition, focusing on the figure and maintaining its essentiality.