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Diagrammatics in Art and Mathematics
Symmetry 2012, 4(2), 302-328; doi:10.3390/sym4020302
Article

Knots in Art

1,* , 2
,
3
 and
4
1 The Mathematical Institute, Knez Mihailova 36, P.O. Box 367, Belgrade 11001, Serbia 2 University of Niš, Faculty of Mechanical Engineering, A. Medvedeva 14, Niš 18 000, Serbia 3 Department of Mathematics, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104-6395, USA 4 Department of Computer Science, Faculty of Mathematics, Studentski trg 16, Belgrade 11000, Serbia
* Author to whom correspondence should be addressed.
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)
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Abstract

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.
Keywords: knot; link; plait; mirror-curve; decorative knot; polyhedral knot knot; link; plait; mirror-curve; decorative knot; polyhedral knot
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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

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