The Mysterious Synergy of Geometry and Art

Abstract

Presented reflections are attempts to confront mathematical and artistic approach to measuring various aspects of creativity, imagination and our understanding of aesthetic values hidden in the produced artifacts in fine art and in science, geometry in particular. Phenomena that are carriers of these subtle values enable comparison of the concepts of measures and measurement strategies in mathematics and art. Common intersection of mathematics and art is not just the utilisation of geometric forms in fine arts. Into a much greater extent this can be found on abstract level, in searching for description and visualisation of natural relations, principles and rules of life, beauty and truth. Mathematical preposition or geometric relation and fine art work are different representations of the observed reality, two abstractions appearing seemingly on the opposite poles of human mind, two different illustrations of truth and efforts to comprise it and present in a compound way. These two representations of “world truths” should perfectly complement each other. Short revision of the surface measure definitions and its application within the two environments is presented, together with continuous efforts of finding their common features and differences.