The mausoleum attributed to Fakhraddin Razi is one of the buildings in the capital of Khorezm that survived the destruction of Urgench by the Mongols. It is a one-chamber mausoleum of slender proportions, built of baked bricks.
Its cubic volume is carried by a twelve-sided drum covered with a tent. The main facade is architecturally highlighted: three arched niches in rectangular frames with light openings are arranged in a rectangular frame with epigraphic ornament, and the entrance to the mausoleum lies along the axis of the composition.
The measurement of the monument, carried out by the architect A.N. Vinogradov, was accompanied by the laying of a pit near the monument, which made it possible to establish the ancient level of the blind area at a depth of about 1.5 m from the surface of the day.
At the same time, the remains of a basement, laid out of polished bricks on an edge, an entrance niche, three ledges of an expanding foundation and its base were found. When examining the monument, it was found that in the northeastern corner of the wall, the repair masonry protrudes 14 cm against the basement line; the vertical elevations indicate that the building is tilting eastward; later renovations distorted the architecture of the main façade.
Nevertheless, the preserved profiled polished bricks under plaster and the removal of cultural layers near the monument allow restoring its former proportions and, to some extent, the appearance of the structure.
The mausoleum of Fakhraddin Razi is small, the sides of the square room are 364, 367, 359, 364 cm.
The floor level inside the mausoleum has not been established by archaeological excavations. We take this level at around – 246 cm, that is, at the level of the base. The volume of the building is cubic meters.
The 12-sided prism has a round base. Its diameter is 550.5 cm.To determine the height of the prism, the diameter of the circle is divided by four, on one fourth the perpendicular is restored to the intersection with the circle, which is the average proportional between the unit and the trinity, i.e.
Note that similar techniques were used in the construction of the architectural form of a number of other monuments, in particular the Tekesh and Turabek-khanym mausoleums.
The forms of a twelve-sided tent, laid out with a false vault, fit into an equilateral triangle.