Generation of Architectural Forms Through Linear Algebra

Franca Caliò () and Elena Marchetti ()
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Franca Caliò: Politecnico di Milano, Department of Mathematics
Elena Marchetti: Politecnico di Milano, Department of Mathematics

Chapter Chapter 80 in Architecture and Mathematics from Antiquity to the Future, 2015, pp 483-496 from Springer

Abstract: Abstract Our efforts are aimed at applying a mathematical taxonomy or a geometrical model to significant classes of classical or modern architectural structures. Mathematical formulas are used to describe them, even though it is very clear that such formulas have not influenced the creativity of the designers. The purpose of our exercise is simply to better highlight the shape of the architectural object, to extract from it an inherent rule, to make evident its structural rigor. The final result of this exercise is a three-dimensional geometrical model, that is, a description of the geometrical object (a locus, or set of points) expressed through geometric analytical formulae, and its subsequent display on media such as paper or computer screen. The approach involves establishing a few basic elementary shapes, imposing movements and deformations on them, to determine a final shape dynamically; then giving the equations and supplying the related graphical representations.

Keywords: Translation Vector; Cartesian Space; Vector Point; Architectural Form; Algebraic Vector (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00143-2_33

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DOI: 10.1007/978-3-319-00143-2_33

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