Study of the Geometric Proportions of Momik's Xačՙkՙar
In: Herald of Social Sciences, S. 202-222
Xačՙkՙar have been the subject of numerous studies for more than fifty years: the origins, their function, iconography, symbolism, typology and inscriptions have been analyzed qualitatively. A first quantitative study (formal and statistical) was carried out with the xačՙkՙar of Isfahan and Jerusalem, highlighting their structure and classifying their ornaments. In all cases, no study has analyzed the geometric aspects of the composition of the decorations both in terms of construction and result. The objective of this article is both to analyze Momik's xačՙkՙar from the 13th century illustrating Christ and the 12 apostles (hereinafter called "Christ and the 12 apostles") as well as to propose an approach. After a general presentation of the xačՙkՙar (now exhibited at the History Museum of Ełegnajor) and of Euclid's work "The Elements", this article analyzes geometric composition, in particular its relationship with the golden section. The results will be final when the analytical approach will be applied to the other Momik's xačՙkՙar.