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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.
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 ...
Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer-aided geometric design, and discrete differential geometry. [2] In architecture, geometric design is associated with the pioneering explorations of Chuck Hoberman into transformational geometry as a design idiom, and ...
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.
Albrecht Dürer (1471–1528) was a German Renaissance printmaker who made important contributions to polyhedral literature in his 1525 book, Underweysung der Messung (Education on Measurement), meant to teach the subjects of linear perspective, geometry in architecture, Platonic solids, and regular polygons.
Nevertheless, the subject has been put on a firmer foundation by its investigators' insistence on exact measurements in small units, and a mixture of arithmetic and geometric design principles. [7] The book represents the state of the art for its time in the geometric analysis of medieval architecture. [3] [6]