To highlight the relevance of architecture and geometry by examining geometric forms and methods that have been or could be proposed for application in architectural or other special constructions, in works of art or are of wider interest to architects. Study of curved surfaces (applications: shells, membranes), Polyhedral surfaces (applications: spatial networks, geodesic domes), Geometric transformations (applications: design and analysis of decorations), Geometric study of the Sun’s motion. Application in the manufacture of solar clocks. Selection of topics of theoretical or applied nature and their development with the Rhinoceros program, as well as the formulation of algorithms with the grasshopper program.