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id radzjukevich02_paper_eaea2007
authors Radzjukewich, Andrey
year 2008
title The Computer Methods of Construction Spiral Structures
source Proceedings of the 8th European Architectural Endoscopy Association Conference
summary The object of our research is geometric characteristics of spiral structures which are widely spread in nature (cones, sunflower beds…). It is a well-known fact that there is a proportional intercommunication according to the “golden section”. The correlation of the quantity of “right” and “left” spirals ties to have an irrational coefficient of “golden section” through the correlation numbers of 1,618… from Fibbonacci series ( 5/3, 8/5, 13/8, 21/13, 34/21, 55/34 …). When the proportion of “golden section” was found in the natural objects since the middle of the 19-th century (A.Zeizing), there began to appear a lot of hypotheses about some special aesthetic and technological characteristics of this proportion. The proportion of “golden section” became the most important architectural instrument in the first half of the 20-th century. This instrument made it possible to design beautiful and comfortable buildings (Le Corbusier). We tried to find a geometric way of building spiral structures which would be similar to natural ones. We solved this problem with the help of the developed algorythm the geometric characteristics of the cells of which spiral structures are built were investigated. It was found out that the cells of “golden” spiral structures don't have any special characteristics if compare with the cells of other spiral structures. During our work we found some spiral structures which have optimal geometric characteristics. These structures let's call them radial-hexagonal, have maximal area of a cell, though they have minimum perimeter. We also defined the main difference in the growing strategy of animate and inanimate structures. Inanimate structures grow by means of addition external elements. Animate structures grow by means of constant pushing of new elements which appear in the centre towards periphery. The optimal filling of the plane in the process of such growing is possible only by “golden section” of “right” and “left” spirals.
keywords spirals, spiral lattices, a proportion of "gold section”
series EAEA
email radz@au.ru
more http://info.tuwien.ac.at/eaea
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last changed 2008/04/29 18:46
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