نظام هندسی زمینه‌های رسمی‌بندی یک‌پا، برگرفته از دایره محیطی

Rasmi-bandi is one of the distinctive and original patterns in traditional architecture which provide the ceiling coverage. This domestic artwork represents the mastery of Iranian architects in geometry. Unlike the other architectural geometric ornaments such as Yazdi-Bandi, Muqarnas, kaseh-sazi, Rasmi-bandi seeks an excellent order in the setting. Although appropriate setting is achieved for Rasmi-bandi during implementation by preparing the impost experimentally, but there are some vague points in dimensional symmetry and the provided solutions are not efficient. This paper dealing specifically with the setting of Rasmi-bandi derived from peripheral circles, firstly investigates the history of interaction between mathematicians and architects and the role of geometry in architecture and then by presenting the definition and the status of Rasmi-bandi and the viewpoint of experts, deals with the formation of assorted types of Rasmi-bandi in peripheral circle and its analysis. Providing the frequency table of each type of Rasmi-bandi, providing dimensional asymmetry of Rasmi-bandi settings, and determining the geometric system and the numerical relation among them are some of the findings of this article.