Mathematics and culture II by Michele Emmer

By Michele Emmer

Creativity performs an enormous position in all human actions, from the visible arts to cinema and theatre, and particularly in technological know-how and arithmetic .

This quantity, released purely in English within the sequence "Mathematics and Culture", stresses the powerful hyperlinks among arithmetic, tradition and creativity in structure, modern artwork, geometry, special effects, literature, theatre and cinema. So this ebook is designed not just for mathematicians yet for the entire those who be interested within the a variety of elements of tradition, either medical and literary, with a unique emphasis at the visible aspects.

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All the other important aspects will be ignored here. But this way differs from many others because it is characterized by typical characteristics of mathematics like explicability, explainability, understandability and inspectability. That’s exactly the attraction for a mathematician to deal with the subject mathematics and culture, in that case with mathematics and arts. The article will be structured in the following way: at first short definitions of both disciplines will be introduced. The second part will demonstrate some typical historic and contemporary connections between mathematics and arts.

R. Bösel and C. , Electa, Milano, 1999. R. , Borromini. Architekt im barocken Rom, (exhibition held at the Albertina in Vienna), Electa, Milano, 2000. Francesco Borromini, Atti del Convegno internazionale, Roma, gennaio 2000, Electa, Milano, 2000. 6 The relief will be published by N. Soldini and A. Sartor. Fractals: A Resonance between Art and Nature Richard Taylor, Ben Newell, Branka Spehar and Colin Clifford Physics and Psychology Reveal the Fractal Secrets of Jackson Pollock’s Drip Paintings The discovery of fractal patterns was an interesting advance in the understanding of nature [1, 2].

The first of them, Federico Commandino (1509–1575), translated an important edition of the Conics of Apollonius of Perge (ca. 247–205 BC) published in 1566 and used by Johannes Kepler to determine the elliptical orbits of planets; the second one, Muzio Oddi (1569–1639), an architect living in Milan at the same time as Borromini, has to be considered a probable link between mathematics and architecture. In architecture the oval shape was adopted as approximation of an ellipse, which was already studied in ancient times as one of the plane sections of a cone.

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