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arXiv · 1910.06610

Analyzing symmetry and symmetry breaking by computational aesthetic measures

Hendrik Richter
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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.

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Hendrik Richter. 2019-10-15. Analyzing symmetry and symmetry breaking by computational aesthetic measures. https://arxiv.org/abs/1910.06610

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