Architectural geometry


Architectural geometry is an area of research which combines applied geometry and architecture,[1] which looks at the design, analysis and manufacture processes. It lies at the core of architectural design[2] and strongly challenges contemporary practice, the so-called architectural practice of the digital age.[3]

Architectural geometry is influenced by following fields: differential geometry, topology, fractal geometry, and cellular automata.

polyhedral approximation of a cyclide-offset.

Topics include:

  • freeform curves and surfaces creation
  • developable surfaces
  • discretisation
  • generative design
  • digital prototyping and manufacturing

See alsoEdit


  1. ^ H. Pottmann; A. Asperl; M. Hofer; A. Kilian (2007). Architectural Geometry. Bentley Institute Press. ISBN 978-1-934493-04-5.
  2. ^ H. Pottmann, M. Hofer and A. Kilian (Ed.) (2008). Advances in Architectural Geometry 2008, Conference Proceedings. Vienna University of Technology. ISBN 978-3-902233-03-5.
  3. ^ Branko Kolarevic (2003). Architecture in the Digital Age. Taylor & Francis. ISBN 978-0-415-27820-1.

External linksEdit


  • Charles Jencks: The New Paradigm in Architecture


  • Geometric Modeling and Industrial Geometry
  • Städelschule Architecture Class
  • SIAL - The Spatial Information Architecture Laboratory


  • Evolute Research and Consulting


  • Smart Geometry
  • Advances in Architectural Geometry,([1] Conference Proceedings, 80MB)

Resource collections

  • Geometry in Action: Architecture


  • K3DSurf — A program to visualize and manipulate Mathematical models in three, four, five and six dimensions. K3DSurf supports Parametric equations and Isosurfaces
  • JavaView — a 3D geometry viewer and a mathematical visualization software.
  • Generative Components — Generative design software that captures and exploits the critical relationships between design intent and geometry.
  • ParaCloud GEM— A software for components population based on points of interest, with no requirement for scripting.
  • Grasshopper— a graphical algorithm editor tightly integrated with Rhino's 3-D modeling tools.