Representation of infinity in art through geometry

Abstract

The objective of the research was to analyze the incorporation of Euclidean and Hyperbolic geometries in the plane and its application in art under the concept of infinite potential. From a methodology based on the covering of the plane and the construction of tesserae, we seek to recognize and understand through visualization how the different geometric conceptions under their own rules describe, through representation and geometric drawing, the concept of infinity applied in art. Through the creation of shapes that are assembled by decreasing or increasing their size as recurring successions, infinite figures were generated that give rise to a flat finite surface with infinite similar elements. The study shows how each applied geometry interprets the concept of infinity in art and the correlation between the two

Keywords: Euclidean - Hyperbolic Geometry, Infinite Concept, Art.