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Architecture and Mathematics: An Ancient Symbiosis

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Handbook of the Mathematics of the Arts and Sciences

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Abstract

From the construction of primitive tribal huts to the design of technologically advanced high-rise buildings, architects have relied on and been inspired by mathematics. This chapter introduces and categorizes three types of applications of mathematics in architecture. The first comprises aesthetic applications, which are visible or expressed in a building. The second are practical applications that provide support for the creation of a stable, durable, and functional building. The last category is made up of analytical applications, which reveal various invisible properties of a building. Using this framework, the chapter examines 17 major architectural themes, spanning historically from Ancient Egypt to the present day, and in scope from number mysticism to computational analysis. Through this process, the chapter investigates the rich, symbiotic relationship that exists between architecture and mathematics, providing a series of mechanisms for understanding the many ways they are connected.

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Authors and Affiliations

  1. UNSW Built Environment, UNSW, Sydney, NSW, Australia

    Michael J. Ostwald

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  1. Michael J. Ostwald
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Correspondence to Michael J. Ostwald .

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Editors and Affiliations

  1. Department of Mathematical Sciences, University of Montana, Missoula, MT, USA

    Bharath Sriraman

Section Editor information

  1. UNSW Built Environment, University of New South Wales, Sydney, NSW, Australia

    Michael J. Ostwald

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Ostwald, M.J. (2020). Architecture and Mathematics: An Ancient Symbiosis. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70658-0_138-1

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  • DOI: https://doi.org/10.1007/978-3-319-70658-0_138-1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70658-0

  • Online ISBN: 978-3-319-70658-0

  • eBook Packages: Springer Reference MathematicsReference Module Computer Science and Engineering

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