Domes in the Islamic architecture of Cairo City: a mathematical approach (Q1934581)

The paper under review is about domes that were built in Cairo City between the 9th and the 18th century, and is primarily concerned with the transitional zone between the circular base of a dome and the square top of the cube where the dome is supported. Ten samples were chosen out of a total of thirty distinguished historical buildings, and the two methods used historically in the transitional zones therein are analyzed both mathematically and graphically. A set of mathematical expressions were derived to relate the different pairs of the squinches/pendentives to a unit cube, and the equations derived were validated twice, first by generating 3D graphical sequences for both squinches and pendentives for the selected domes using CAD software based on the values obtained from the derived equations, and second by executing physical models using a 3D printer for two examples of squinches and pendentives. This review has borrowed heavily from the abstract of the paper.