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Diagrammatics in Art and Mathematics

Knots in Art

The Mathematical Institute, Knez Mihailova 36, P.O. Box 367, Belgrade 11001, Serbia
University of Niš, Faculty of Mechanical Engineering, A. Medvedeva 14, Niš 18 000, Serbia
Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA
Department of Computer Science, Faculty of Mathematics, Studentski trg 16, Belgrade 11000, Serbia
Author to whom correspondence should be addressed.
Symmetry 2012, 4(2), 302-328;
Received: 9 May 2012 / Revised: 15 May 2012 / Accepted: 15 May 2012 / Published: 5 June 2012
(This article belongs to the Special Issue Symmetry and Beauty of Knots)
We analyze applications of knots and links in the Ancient art, beginning from Babylonian, Egyptian, Greek, Byzantine and Celtic art. Construction methods used in art are analyzed on the examples of Celtic art and ethnical art of Tchokwe people from Angola or Tamil art, where knots are constructed as mirror-curves. We propose different methods for generating knots and links based on geometric polyhedra, suitable for applications in architecture and sculpture. View Full-Text
Keywords: knot; link; plait; mirror-curve; decorative knot; polyhedral knot knot; link; plait; mirror-curve; decorative knot; polyhedral knot
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MDPI and ACS Style

Jablan, S.; Radović, L.; Sazdanović, R.; Zeković, A. Knots in Art. Symmetry 2012, 4, 302-328.

AMA Style

Jablan S, Radović L, Sazdanović R, Zeković A. Knots in Art. Symmetry. 2012; 4(2):302-328.

Chicago/Turabian Style

Jablan, Slavik, Ljiljana Radović, Radmila Sazdanović, and Ana Zeković. 2012. "Knots in Art" Symmetry 4, no. 2: 302-328.

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