Architectural geometry is an area of research which combines applied geometry and architecture

Architecture

Architecture is both the process and product of planning, designing and construction. Architectural works, in the material form of buildings, are often perceived as cultural and political symbols and as works of art...

, which looks at the design, analysis and manufacture processes. It lies at the core of architectural design and strongly challenges contemporary practice, the so-called architectural practice of the digital age.

Architectural geometry is influenced by following fields: differential geometry, topology

Topology

Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...

, fractal geometry, cellular automata...

Actual topics:

• Freeform curves and surfaces creation
• Developable surfaces
• Discretisation
• Generative design
• Digital prototyping and manufacturing

See also

• Geometric design
  Geometric design
  Geometric design , also known as geometric modelling, is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes. Core problems are curve and surface modelling and representation...
  
  
• Computer-aided architectural design
• Mathematics and architecture
  Mathematics and architecture
  Mathematics and architecture have always been close, not only because architecture depends on developments in mathematics, but also their shared search for order and beauty, the former in nature and the latter in construction. Mathematics is indispensable to the understanding of structural concepts...
  
  
• Artificial Architecture
  Artificial Architecture
  Artificial architecture, also referred to as algorithmic architecture and algorithmic design, is the research area combining architectural design and artificial intelligence...
  
  
• Fractal geometry
• Blobitecture
  Blobitecture
  Blobitecture from blob architecture, blobism or blobismus are terms for a movement in architecture in which buildings have an organic, amoeba-shaped, bulging form...
  
  

External links

Theory

• Charles Jencks: The New Paradigm in Architecture

Institutions

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

Companies

• Evolute Research and Consulting

Events

• Smart Geometry
• Architecture in a Parametric Age
• Advances in Architectural Geometry,(http://www.architecturalgeometry.at/aag08/aag08proceedings-papers_and_poster_abstracts.pdf Conference Proceedings, 80MB)

Resource collections

• Geometry in Action: Architecture

Tools

• 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.