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 wellknown 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 19th 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 20th 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 radialhexagonal, 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 
full text 
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references 
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last changed 
2008/04/29 18:46 
