Parisa Keshavarz Haddadha - Master of Architecture
Mehdi Hamze Nezhad - assistant professor

Geometry is the basis of Iranian art and architecture, and an appropriate tool for ordering architecture and also for making informed relationships between elements with each other. One of the most important results on geometry is the genesis of measurement systems. The most famous base units are Peymoon in Iran. Peymoon is actually the width of the door and not only affects the map and the size of the pedestals and columns, but also determines the state and the geometry of facade, the door and the window and the ratio between them. The most important thing that has entangle the researcher's mind has been the discover of this hidden secret behind this marvelous arrangement. Therefore, since the geometry of the facade formation was determined by the Peymoon, the most important problem to be considered in the facade is the Peymoon, also, according to Pirnia’s opinion, the golden rectangle (which is actually a rectangle inscribed in a hexagon) played an important role in the design of the building but no information is available on how to use it. On the other hand, what appears next to Peymoon is a composition problem, so it has to be looked at the composition alongside Peymoon and the golden rectangle. Due to an error in the existing images from the traditional building facade’s for two main reasons: one error during in building and another one error is drawing the maps, we concentrated on the numbers and figures from the library studies for achieving results without any error, and with the help of the number of gereh in the large Peymoon and the maps were redrawn and the analyzes were done on the detailed maps. The results of the analysis show that not only hexagons and also compositions have effects on the design of the facade but form the basis of the facade geometry. And all of the shaping lines correspond to the golden rectangles, with the traditional architect believing that the golden rectangular proportions look beautiful and are very close to the phi proportions And also, the traditional architect, with full knowledge of this proportions, has defined Peymoon and composition so that any novice architect on any side of Iran, with respect to these sizes and components, could create beautiful designs. Nowadays it is forgotten while traditional architects work with updated prefabricated elements that can be upgraded to modern dimensions and sizes and can save the urban landscape from this chaos and disorder

geometry, Facade, Iranian Islamic appearance, Peymoon, composition