iterative ratios in the fractal geometry of urchīn domes

in the classification of traditional domes, they are divided into two main categories: “roc” (cone-shaped) and “nār” (hemisphere-like) domes. urchīn domes are a sub-category of cone-shaped domes which were common in the past in the region of mesopotamia and southwest of iran. the fractal geometry is the best way to describe the geometrical structure of these domes, because the existence of self-similar figuresm and the relations between the parts of the dome, such as the height and span, create some fractal relations. in this paper we try to make a detailed study of urchīn domes and to discover their geometric structures using some numeric sequences in relation with fractal geometry.