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Geometric modeling is a branch of applied mathematics and computational geometry that studies methods and algorithms for the mathematical description of shapes.The shapes studied in geometric modeling are mostly two- or three-dimensional (solid figures), although many of its tools and principles can be applied to sets of any finite dimension.
The first answer was obvious: claim the divine origin of the architectural form, passed to architects by kings and priests. Architects, not having an access to the original source, worked out the ways to scale buildings while keeping the order through the use of symmetry , multiples and fractions of the basic module, proportions .
2D models are important in computer typography and technical drawing. 3D models are central to computer-aided design and manufacturing, and many applied technical fields such as geology and medical image processing. Geometric models are usually distinguished from procedural and object-oriented models, which define the shape implicitly by an ...
Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. [1] The theoretical basis for descriptive geometry is provided by planar geometric projections.
Visual Representation of the Concentric Zone Model as Proposed by Bugress (1925). Visual representation of Ullman and Harris' 1945 Multiple Nuclei Model. Morphology in architecture is the study of the evolution of form within the built environment. Often used in reference to a particular vernacular language of building, this concept describes ...
In the Renaissance, an architect like Leon Battista Alberti was expected to be knowledgeable in many disciplines, including arithmetic and geometry.. The architects Michael Ostwald and Kim Williams, considering the relationships between architecture and mathematics, note that the fields as commonly understood might seem to be only weakly connected, since architecture is a profession concerned ...
Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet. Often these are tall structures, such as towers, where the hyperboloid geometry's structural strength is used to support an object high above the ground. Hyperboloid geometry is often used for decorative effect as well as structural economy.
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.