Application of the Dupin cyclide in temple architecture

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Abstract
In recent years, the construction of churches and temples has been rapidly developed, so the need for design and support for such constructions arose. A new department called “Temple architecture” even appeared at MArchI (Moscow Architectural Institute). The article considers a method for geometric construction of the surface of such objects as the dome of temples and churches from the parts of Dupin cyclides. As a result, two variants of domes made from the compartments of the Dupin cyclide were proposed. Based on the theoretical research, it becomes clear that there can be more design options, and if we use a special case of cyclides for construction - compartments of rotating cones - then many times more.