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Architectural geometry is an area of research which combines applied geometry and
architecture Architecture is the art and technique of designing and building, as distinguished from the skills associated with construction. It is both the process and the product of sketching, conceiving, planning, designing, and construction, constructi ...
, 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 Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...
,
topology Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
,
fractal geometry In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as ...
, and
cellular automata A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model of computation studied in automata theory. Cellular automata are also called cellular spaces, tessellation automata, homogeneous structures, cellular structures, tessel ...
. Topics include: * freeform curves and surfaces creation * developable surfaces * discretisation * generative design * digital prototyping and manufacturing


See also

*
Geometric design Geometrical design (GD) is a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes and is closely related to geometric modeling. Core problems are curve and surface modelli ...
* Computer-aided architectural design *
Mathematics and architecture Mathematics and architecture are related, since architecture, mathematics and art, like some other arts, uses mathematics for several reasons. Apart from the mathematics needed when engineering buildings, architects use geometry: to define ...
*
Fractal geometry In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as ...
*
Blobitecture Blobitecture (from blob architecture), blobism and blobismus are terms for a movement in architecture in which buildings have an organic, amoeba-shaped building form. Though the term ''blob architecture'' was already in vogue in the mid-1990s, th ...


References


External links

Theory
Charles Jencks: The New Paradigm in Architecture
Institutions
Geometric Modeling and Industrial GeometryStädelschule Architecture ClassSIAL - The Spatial Information Architecture Laboratory
Companies
Evolute Research and Consulting
Events
Smart GeometryAdvances in Architectural Geometry
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 design software that captures and exploits the critical relationships between design intent and geometry.
ParaCloud GEM
mdash; A software for components population based on points of interest, with no requirement for scripting.
Grasshopper
mdash; a graphical algorithm editor tightly integrated with Rhino's 3-D modeling tools. Computer-aided design Computer-aided design software {{Architecture-stub ar:جيوميترية العمارة