Analyzing symmetry and symmetry breaking by computational aesthetic measures

TL;DR

This paper explores how computational aesthetic measures can analyze and quantify symmetry and symmetry breaking in digital art, focusing on geometric and color symmetries and their role in artistic design.

Contribution

It introduces a framework for analyzing symmetry and symmetry breaking in digital art using computational aesthetic measures, including color symmetry and geometric transformations.

Findings

Color symmetry can be effectively modeled as color permutation.

Computational aesthetic measures reflect the degree of symmetry breaking.

Four types of two-dimensional symmetry are analyzed using isometric maps.

Abstract

We study creating and analyzing symmetry and broken symmetry in digital art. Our focus is not so much on computer-generating artistic images, but rather on analyzing concepts and templates for incorporating symmetry and symmetry breaking into the creation process. Taking as a starting point patterns generated algorithmically by emulating the collective feeding behavior of sand-bubbler crabs, all four types of two-dimensional symmetry are used as isometric maps. Apart from a geometric interpretation of symmetry, we also consider color as an object of symmetric transformations. Color symmetry is realized as a color permutation consistent with the isometries. Moreover, we analyze the abilities of computational aesthetic measures to serve as a metric that reflects design parameters, i.e. the type of symmetry and the degree of symmetry breaking.