Unexepected Geometries exploring the Design of the Gothic city -- Observation, drawing, modeling. Elements of a cognitive process between analogic and digital for design learning -- Computational Process and Code-Form definition in Design -- To Observe, to Deduce, to Reconstruct, to Know -- The Role of Geometry in the Architecture of Louis Kahn and Anne Tyng -- Thinking Architecture in Four Dimension -- Reuleaux triangle in architecture and applications -- Interplays of Geometry and Music: how to use Geometry to analyze an Artwork in order to compose a Musical Piece -- Harmony in Space -- Caterina Marcenaro + Franco Albini for Love of Art -- How to solve Second Degree Algebraic Equations using Geometry -- Teatro Comunale, Ferrara: the question of the curve. From the debate to the geometric analysis -- Women and Descriptive Geometry in Italian University -- Witch of Agnesi: the true story -- The Dividing of the Sphere in Domes of Medieval Anatolia -- Organic Reference in Design. The Shape between Invention and Imitation -- Inverse formulas: from elementary geometry to differential calculus -- A Concrete Approach to Geometry -- Tesselation.

The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education. .