Modern Algorithmic Aesthetics and Mathematical Harmony Throughout History

Abstract

The main objective of this review is to emphasizes the importance of mathematics and its role in aesthetic mental cognition and to encourage designers and contemporary artists to study pure mathematics seriously rather than dealing with pre-generated codes. By cultivating a philosophical attitude to so-called Algorithmic Aesthetics, the paper assumed that a new era of pure aesthetics could be begun. The article drew a solid connection between aesthetics and algorithmic design thinking based on mathematical approaches. Issues reviewed and discussed include the theoretical (quantitative) and applied (mathematical) theories that had been produced to explore the origin of aesthetics. This review attempts to emphasize the importance of mathematical sciences in understanding the beauty and perceive aesthetic phenomena. This connection drew on the precedents; Ceno-Pythagorean categories, Peircean universal categories, Birkhoff ’ s aesthetic measurement , Claude Shannon ’ s information theory, Moles ’ communicative system, Bense ’ s information aesthetics, Siegfried Maser ’ s cybernetic model, and Stakhov ’ s mathematical harmony theory, which all contributed to reconceiving the concept of mathematical harmony in the aesthetic phenomenon. In line with these theories, algorithmic generative experiments were designed based on a naturally inspired algorithm, to present an example for a coherent mathematical structure that is required for creating any aesthetic phenomenon.