Geometry is omnipresent in the architectural design process, from the initial form-finding stages to the actual construction of a project. Architectural Geometry is a text written for students, educators, and professionals in architecture, construction engineering, and industrial design. It includes materials for all levels, from the basics of geometric modeling to the cutting edge of research, to inspire applications of geometry processing in architecture and art.

Topics that are generally reserved for a mathematically well-trained audience—such as free-form curves and surfaces, differential geometry, kinematic geometry, mesh processing, digital reconstruction, and optimization of shapes—are explained in an easy to understand fashion. This book is intended to bridge the gap in the geometry literature, by focusing on efficient CAD construction methods and using CAD to support geometry teaching and understanding.

As a textbook for students, it includes material for a basic undergraduate course in geometry. Later chapters include plenty of material for more advanced geometry classes, at either the graduate or undergraduate level. The final chapters address the cutting edge of research (including the authors’ own research on discrete free-form structures).

With an excellent overview of methods of geometric design, critical to best leverage the array of tools and technology available, Architectural Geometry offers relevant support and insight for architects and engineers that aspire to be part of the seemingly unlimited possibilities of the geometry ‘revolution.’ 

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