Bentley Institute Press, publisher of cutting-edge university textbooks and professional reference works for the architectural, engineering, construction (AEC), geospatial, and educational communities, announced the second printing of “Architectural Geometry,” the newest addition to its growing list of titles. “Architectural Geometry,” which was authored by a team of experts from the Vienna University of Technology and the Massachusetts Institute of Technology, is the first and only textbook to successfully integrate the disciplines of geometry and architecture. This single, comprehensive volume is written for architects, future architects, and other AEC professionals pursuing the study of design, including advanced 3D and generative design techniques.

Gary Hack, Paley professor of architecture and planning and dean of the University of Pennsylvania School of Design, said, “As architectural practice increasingly pursues new approaches to form and the integration of design with materials and assemblies, it is clear that a strong background in geometry is a requirement.

“The new book ‘Architectural Geometry’ is perfect for students and teachers of architecture, practicing architects, and other professionals seeking an in-depth understanding of geometric principles and their integral relationship to the world of design. Its content is fundamental and will be not only relevant but essential for many years to come. I’ve asked that copies be added to the PennDesign library and firmly believe this singular work belongs in the library of every high school, college, and university offering architecture and engineering design as part of its curriculum – as well as in the offices of architectural and design organizations around the globe.”

Authors Helmut Pottmann, Andreas Asperl, Michael Hofer, and Axel Kilian drew on their professional experiences to craft a textbook that crosses numerous boundaries. Providing more than 700 pages richly illustrated with hundreds of full-color images of built architecture, architectural projects and artwork, plus color illustrations of geometric concepts, this book takes readers from basic to advanced geometry, then leads them to the cutting edge of research in architectural geometry. Topics typically reserved for a mathematically focused audience are addressed in an easily understandable way. These include central concepts on freeform curves and surfaces, differential geometry, kinematic geometry, mesh processing, digital reconstruction, and optimization of shapes.

Miles Ritter, digital media coordinator, Princeton University School of Architecture, said, “‘Architectural Geometry’ is a superior, comprehensive survey of geometric modeling for architecture filled with stunning illustrations of unparalleled precision and clarity. The authors are at the forefront of research into advanced modeling technologies and the underlying geometrical principles upon which they are based, and it thus contains, particularly in the later chapters, advanced topics such as shape optimization, PQ meshes, and surface development that are at the cutting edge of the discipline.

“For those involved in the construction and refinement of geometrical pipelines for architectural modeling and production, I expect it will become the standard reference. ‘Architectural Geometry’ is not just the best text of its kind – it is unique.”

Added Dr. Andre Brown, professor, Liverpool University, and former president of the Education and Research in Computer-Aided Architectural Design in Europe (eCAADe) organization, “This is a carefully considered, well-structured, balanced, and informative book on constructive geometry and its application to design for the built environment in a contemporary setting. It mixes theoretical ideas, how-to advice, and real-world examples, and will appeal to a wide range of potential users, from students to educators and practitioners.”

For pricing information or to order a copy of “Architectural Geometry,” call 1-800-BENTLEY and ask for the Bentley Institute Press, or visit http://www.bentley.com/ArchitecturalGeometry. “Architectural Geometry” is also available online at www.amazon.com.

About the Authors

Helmut Pottmann is a professor of geometry at Vienna University of Technology, where he directs the research group Geometric Modeling and Industrial Geometry at the Institute of Discrete Mathematics and Geometry. Andreas Asperl studied mathematics and descriptive geometry at Vienna University of Technology, where he has held a faculty position since 1983. Michael Hofer is a post-doctoral researcher at Vienna University of Technology. Axel Kilian studied architecture and specialized in design and computation for a Master of Science, a Ph.D., and a post-doctorate from the Massachusetts Institute of Technology.

About Bentley Institute Press

Bentley Institute Press is a knowledge leader in the publication of cutting-edge university textbooks and professional reference works dedicated to the needs of the architectural, engineering, construction, geospatial, and educational communities. A sampling of its growing list of titles includes books on architectural geometry, visualization and rendering techniques, animation, water resources modeling, hydraulic engineering, and piping design – all written by experts in their respective disciplines. For more information about Bentley Institute Press, visit http://www.bentley.com/books.

About Bentley

Bentley Systems, Incorporated provides software for the lifecycle of the world’s infrastructure. The company’s comprehensive portfolio for the building, plant, civil, and geospatial verticals spans architecture, engineering, construction (AEC) and operations. With revenues now surpassing $400 million annually, and more than 2,400 colleagues globally, Bentley is the leading provider of AEC software to the Engineering News-Record Top Design Firms and major owner-operators, and was named the world’s No. 2 provider of GIS/geospatial software solutions in a Daratech research study.

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