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Islamic Design and Its Relation to Mathematics

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Book cover Handbook of the Mathematics of the Arts and Sciences

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Abstract

Complex geometrical designs are a familiar feature of Islamic art. Here we consider the historical context of this genre, tracing it back to the influence of the Platonism and Hellenistic Neo-Platonism that Islam encountered in its early conquest of Byzantine territories (in particular the enormous contribution of Euclid).

In addition, the modern analysis is presented showing the relationship in mathematical terms. Such an analysis naturally leads to the presentation of the patterns using computer graphics.

David Wade is the primary author of sections 1–8, and Brian Wichmann for sections 9–10.

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Author information

Authors and Affiliations

  1. Independent Scholar, Woking, UK

    Brian Wichmann

  2. Independent Scholar, Llanidloes, UK

    David Wade

Authors
  1. Brian Wichmann
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  2. David Wade
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Corresponding author

Correspondence to Brian Wichmann .

Editor information

Editors and Affiliations

  1. Dept of Mathematical Sciences, The University of Montana Dept of Mathematical Sciences, Missoula, MT, USA

    Bharath Sriraman

Section Editor information

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

    Bharath Sriraman

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Wichmann, B., Wade, D. (2019). Islamic Design and Its Relation to Mathematics. 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_91-1

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  • DOI: https://doi.org/10.1007/978-3-319-70658-0_91-1

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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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