Geometry and Proportion of Conical Domes' Plans in Iran: Reviewing Case Studies

The aim of this paper is to identify descriptive and quantitative features of conical domes to introduce geometry and proportion of their plans through analytic reviewing of case studies. Since geometry and proportion have been studied in conical domes, plans of conical domes need more attention in terms of geometry and proportion. Authors hypothesized that with introducing a new Ratio, analyzing geometry would be possible. This Ratio revealed nearly the value of √2 or √3 which is one of the most important Ratios in Islamic architecture. Authors have presented diagrams of superimposed squares and circles to suggest principles of designing with such Ratios. All kinds of plans whether circles or polygons can be designed based on these diagrams since circle is the basic geometry in Islamic architecture. Studying conical domes is important since studies show that their construction has lasted until Qajari era and may continue despite advances in other kinds of domes. Such studies strengthen the connection between
past and present architecture of Iranian architecture.