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Fractal Geometry in Architecture

In: Handbook of the Mathematics of the Arts and Sciences

Author

Listed:
  • Josephine Vaughan

    (The University of Newcastle)

  • Michael J. Ostwald

    (University of New South Wales, UNSW Built Environment)

Abstract

Fractal geometry is a product of fractal theory, a mathematical approach that describes the way space is filled by figures or objects. A fractal geometric figure is one that can be iteratively subdivided or grown in accordance with a series of rules. The overall fractal figure then has parts, which under varying levels of magnification tend to look similar – if not identical – to each other, and the figure fills more space than its topological boundaries. While pure mathematical fractal figures can be infinite in their iterations, there are examples of fractal shapes with limited scales that can be found in architecture. This chapter briefly outlines the background of fractal theory and defines fractal geometry. It then looks at the confusion surrounding the claims about fractal geometry in architecture before reviewing the way architecture and fractal geometry can be combined through inspiration, application, or algorithmic generation.

Suggested Citation

  • Josephine Vaughan & Michael J. Ostwald, 2021. "Fractal Geometry in Architecture," Springer Books, in: Bharath Sriraman (ed.), Handbook of the Mathematics of the Arts and Sciences, chapter 50, pages 1345-1360, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-57072-3_11
    DOI: 10.1007/978-3-319-57072-3_11
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