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  2. Geometric modeling - Wikipedia

    en.wikipedia.org/wiki/Geometric_modeling

    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.

  3. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    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 ...

  4. Geometric design - Wikipedia

    en.wikipedia.org/wiki/Geometric_design

    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 ...

  5. Descriptive geometry - Wikipedia

    en.wikipedia.org/wiki/Descriptive_geometry

    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.

  6. Architectural geometry - Wikipedia

    en.wikipedia.org/wiki/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.

  7. Form (architecture) - Wikipedia

    en.wikipedia.org/wiki/Form_(architecture)

    Historically, multiple approaches were suggested to address the reflection of the structure in the appearance of the architectural form. In the 19th-century Germany, Karl Friedrich Schinkel suggested that the structural elements shall remain visible in the forms to create a satisfying feeling of strength and security, [3] while Karl Bötticher as part of his "tectonics" suggested splitting the ...

  8. Proportion (architecture) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(architecture)

    In classical architecture, proportions were set by the radii of columns. Proportion is a central principle of architectural theory and an important connection between mathematics and art . It is the visual effect of the relationship of the various objects and spaces that make up a structure to one another and to the whole.

  9. Morphology (architecture and engineering) - Wikipedia

    en.wikipedia.org/wiki/Morphology_(architecture...

    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 ...