Relation between Spirals in Pre-Hispanic Design with Mathematics Spirals

作     者：Jose Luis Mamani 

作者机构：Graduated from Faculty of Engineering National University of Jujuy-Argentina. 

出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)

年 卷 期：2015年第5卷第10期

页      码：429-434页

摘      要：The spiral has been studied for the first time in the book “About the spirals”, by Archimedes （Greece, 287-212 BC）. In America, the design of spirals seems to have been used previous to Archimedes＇ time, although in the Northwest of Argentina the appearance of this figure in ceramics can be dated between the years 800 and 1,400 （AD）. The spiral is found in cave paintings, in pumpkin carvings and in pottery, particularly those painted inside of plates （pucos in Quechua language）.There can be seen simple linear spirals, double spirals and spirals filled with squares, spirals in two, facing each other symmetrically, as well as spirals joined to bodies of animals. The number of spires detected in the largest spiral is 12, a number of evidently sacred characteristics. When there are several spirals in an earthenware vessel, it can be seen that all of them spin to the same side whether it is clockwise or not. This could have been caused by the predominance of the use of either one hand or the other by the ancient artist. This paper is produced with computer methods used to design spirals in the computer, either Archimedes or the logarithmic ones. Finally, the book： “Man and his symbols” of the psychiatrist Carl Gustav Jung （1875-1961） help to understand this congruencies. In this paper, Mathematics is complemented with the Archeology of art and Psychology.

主 题 词：Spirals complementarity art conscience unconscious. 

学科分类：0710[理学-生物科学类] 071010[071010] 081704[081704] 07[理学] 08[工学] 0817[工学-轻工类] 0701[理学-数学类] 070101[070101] 

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