Skip to main content

Muqarnas: Construction and Reconstruction

  • Chapter
  • First Online:
Architecture and Mathematics from Antiquity to the Future

Abstract

Muqarnas is the Arabic word for stalactite vault, an architectural ornament developed around the middle of the tenth century in North Eastern Iran and almost simultaneously, but apparently independently, in central North Africa. A muqarnas is a three-dimensional architectural decoration composed of niche-like elements arranged in tiers. The two-dimensional projection of a muqarnas vault consists of a small variety of simple geometrical elements. In the scope of our 3-year project “Computer Reconstruction of Muqarnas”, we are analyzing muqarnas and building up a database for these constructions. At the end of our project the computer should be able to show us a three-dimensional vault of the requested time, region, and style based on a two-dimensional plan. In case the vault has partly collapsed in time, the computer should give us ideas how to restore the vault.

First published as: Yvonne Dold-Samplonius and Silvia Harmsen , “Muqarnas, Construction and Reconstruction”. Pp. 69–77 in Nexus V: Architecture and Mathematics, Kim Williams and Francisco Delgado Cepeda, eds. Fucecchio (Florence): Kim Williams Books, 2004.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    For a short introduction, see (Dold-Samplonius 2003).

  2. 2.

    In Timur’s time, when building activity exploded, local constructors could manage the simpler buildings. But for the special and more artistic monuments, architects and artisans were imported from the conquered lands, first Khwārizm, then Tabrīz and Shīrāz, and finally India and Syria. It is known that Timur brought in architects from Shīrāz in 1388 and 1393, and that many migrated of their own free will. The names of several Shīrāz architects have been transmitted, the most famous being Qawām al-Dīn b. Zayn al-Dīn al- Shīrāzī, the only active builder whose surviving structures display a distinctive architectural style. This might well be the reason why the type of muqarnas constructed with many variations, “innumerable possibilities” as al-Kāshī explains, was called Shīrāzī.

  3. 3.

    Such a plan, used to construct a muqarnas in present-day Fez, is discussed in (Dold-Samplonius 1996: 71).

References

  • Dold-Samplonius, Y. 1992. Practical Arabic Mathematics: Measuring the Muqarnas by al-Kāshī. Centaurus, 35: pp. 193–242.

    Article  MathSciNet  MATH  Google Scholar 

  • ___. 1996. How al-Kāshī Measures the Muqarnas: A Second Look. Pp. 56-90 in M. Folkerts, ed. Mathematische Probleme im Mittelalter: Der lateinische und arabische Sprachbereich. Vol. X. Wiesbaden: Wolfenbütteler Mittelalter–Studien.

    Google Scholar 

  • ___. 2003. Calculating Surface Areas and Volumes in Islamic Architecture. Pp. 235-265 in The Enterprise of Science in Islam, New Perspectives, J.P. Hogendijk & A.I. Sabra, eds. Dibner Institute Studies in the History of Science and Technology. Cambridge, MA and London: MIT Press.

    Google Scholar 

  • Dold-Samplonius, Y., Harmsen, S. L., Krömker, S., & Winckler, M. J. 2005. Magic of Muqarnas (Video). Heidelberg: University of Heidelberg. http://www.iwr.uni-heidelberg.de/groups/ngg/Muqarnas/muqarnas-video.php?L=0. Accessed 14 November 2013.

  • Harb, U. 1978. Ilkhandische Stalaktitengewölbe, Beiträge zu Entwurf und Bautechnik. Archäologische Mitteilungen aus Iran. Vol. IV. Berlin: Dietrich Reiner.

    Google Scholar 

  • Necipoğlu, G. 1995. The Topkapı Scroll—Geometry and Ornament in Islamic Architecture. Santa Monica: The Getty Center for the History of Art and Humanities, pp. 167-175.

    Google Scholar 

  • Pope, A. U. 1939. A Survey of Persian Art, from Prehistoric Times to the Present. Vol. II. London and New York: Oxford University Press, p. 1102.

    Google Scholar 

  • Wilber, D. N. 1955. The Architecture of Islamic Iran: The Il Khanid Period. New York: Greenwood Press.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yvonne Dold-Samplonius .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Dold-Samplonius, Y., Harmsen, S.L. (2015). Muqarnas: Construction and Reconstruction. In: Williams, K., Ostwald, M. (eds) Architecture and Mathematics from Antiquity to the Future. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00137-1_47

Download citation

Publish with us

Policies and ethics