AESTHETIC OPTIMIZATION OF A BASIC SHAPE
An important aspect in nowadays industries is to obtain end products that are optimal with respect to several criteria. The aesthetic criterion is an essential one and it has been studied since Antiquity by several artists and scientists. In this paper we propose two aesthetic optimization models of a basic shape using evolutionary algorithms. The objective functions are formulated using the Golden Ratio as an aesthetic standard.
Key words: aesthetic standards, mathematical mean, Golden Ratio, optimization, evolutionary algorithms.
Bashour, M., An objective system for measuring facial attractiveness, Plast. Reconstr. Surg., Vol. 118, Issue 3, pp. 757–774, 2006
Birkhoff, G., Aesthetic Measure. Cambridge: Harvard University Press, 1933
Crăciun, I., Inoan, D., Popa, D., Tudose, L., Generalized Golden Ratios deﬁned by means, Applied Mathematics and Computation, Vol. 250, pp. 221–227, 2015
Crăciun, I., Tudose, L., Golden Ratio-an aesthetic standard in nature, science and engineering, Proceedings of the 2nd Conference for PhD students in Civil Engineering, pp. 683-689, Dec. 2014
Dunlop, R.A., The Golden Ratio and Fibonacci Numbers, World Scientific, 1997
Livio M., The Golden Ratio: The Story of Phi, the Worlds's Most Astonishing Number, Broadway Books, 2002
Stakhov, A. P., The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering, Chaos, Solitons and Fractals, Vol.26, pp. 263-289, 2005
Stakhov, A. P., The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic, Chaos, Solitons and Fractals, Vol. 33, pp. 315–334, 2007
Yang, X.-S., Deb, S., Cuckoo search via Lévy ﬂights. In NaBIC, IEEE, pp. 210–214, 2009
Yetkin, G., Sivri, N., Yalta, K., Yetkin, E., Golden Ratio is beating in our heart, International Journal of Cardiology, Vol. 168, Issue 5, pp. 4926–4927, 2013
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