Fractal geometry describes the beauty of infinity in nature

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Castro, M., Pérez-Luque, M.: Fractal geometry describes the beauty of infinity in nature. In: Bridges Proceedings 2003, pp. 407–414 (2003)



Through the study of fractal geometry and Bionic we have been able to find out the expression of infinite in the nature structure, and to realize that there is an internal order, which is a law. A law whose expression is also the infinite. This discovery has allowed us to study Art history from a more global perspective. We have been able to see that almost every cultural manifestation has the expression of infinite as its goal. We have conclude that the searching for the infinite is what artists have called beauty and have found as something unreachable. Fractal geometry open new ways and gives us the tools to propose a new beauty canon to answer to the cultural and artistic needs of the XXI century.

Extended Abstract


Used References

[1] M.A. Castro, Fractals: A New Way to Understand Design and Architecture, ISAMA 99, The International Society of The Arts, Mathematics and Architecture, pp. 105-112. 1999.

[2] I. B. Litinetski, Iniciacion a La Bionica, Ciencias de la Naturaleza, Moscu. 1972.

[3] C. eli Bartolo, Naturaleza como modelo, Experimenta, Vol. 12, pp. 39-45. 1999.

[4] J. De Lorenzo, EI Infinito Matematico, Investigaci6n y Ciencia, Temas 23, pp. 4-9. 2001.

[5] B. B. Mandelbrot, The Fractal Geometry o/Nature, New york. 1977.

[6] G. Caglioti, Strutture numeriche, autoorganizzazione e senso del bello, Bollettino U. M.1. La Matematica nella Societa e nella Cultura, Serle ViIi, Voi IV-A, Agosto 2001, 209-245

[7] C. Bovill, Fractal Geometry in Architecture and Design, Birkhliuser, Boston, 1996.

[8] M.A. Castro, Fractals Aesthetics o/the Dimensions in Nature, Moreba and Yevlampiev, pp. 227- 229. St. Petersburg, 1995.


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