Special Issue "Symmetry and Beauty of Knots"
A special issue of Symmetry (ISSN 2073-8994).
Deadline for manuscript submissions: closed (31 December 2011)
Prof. Dr. Slavik V. Jablan
The Mathematical Institute, Knez Mihailova 35, P.O. Box 367, 1101 Belgrade, Serbia
Phone: +381 11 2630170
Fax: +381 11 2186105
Interests: theory of symmetry; antisymmetry; colored symmetry; mathematical crystallography; knot theory; math-art; ornamental art and design; modularity in science and art
Symmetry plays an important role in knot theory for example, every knot or a link has a symmetry group, which is much harder to determine than symmetries of solids since knots and links are considered up to ambient isotopy. Questions like establishing of general criteria for amphicheirality - existence of a left and right form of a knot or link, and invertibility - invariance of a knot under the change of its orientation are still open.
Knots and links appearing in nature have very high degree of summetry, therefore applications of knot theory in chemistry and biology are closely related to studying regular polyhedra (e.g., octahedron corresponding to the Borromean rings), geometry and topology of polyhedral DNA, or knotted Fullerenes - a fast developing area of research. Symmetrical knots and knot patterns such as Celtic knots, are the highlights in the history of art.
Contributions related to various aspects of connections between the theory of symmetry and knot theory are invited. Possible topics include, but are not limited to:
- symmetry groups of knots, amphicheirality, invertbility and periodicity
- symmetrical knots in chemistry, biology, art and architecture
- knot patterns, friezes, Celtic knots, Sona sand drawings, Kolam patterns, decorative knots
- symmetrical knots on different surfaces and virtual knots
- knots and quantum computing
- knots and polyhedra
- knots and Fulerenes
Prof. Dr. Slavik Jablan
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed Open Access quarterly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 500 CHF (Swiss Francs). English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.
Symmetry 2012, 4(1), 26-38; doi:10.3390/sym4010026
Received: 14 November 2011; in revised form: 12 January 2012 / Accepted: 13 January 2012 / Published: 20 January 2012| Download PDF Full-text (192 KB)
Symmetry 2012, 4(1), 39-115; doi:10.3390/sym4010039
Received: 16 November 2011; in revised form: 27 December 2011 / Accepted: 16 January 2012 / Published: 9 February 2012| Download PDF Full-text (7529 KB) | Download XML Full-text
Symmetry 2012, 4(1), 129-142; doi:10.3390/sym4010129
Received: 13 January 2012; in revised form: 7 February 2012 / Accepted: 9 February 2012 / Published: 17 February 2012| Download PDF Full-text (313 KB)
Symmetry 2012, 4(1), 143-207; doi:10.3390/sym4010143
Received: 4 January 2012; in revised form: 18 January 2012 / Accepted: 31 January 2012 / Published: 20 February 2012| Download PDF Full-text (1600 KB)
Article: Classical Knot Theory
Symmetry 2012, 4(1), 225-250; doi:10.3390/sym4010225
Received: 3 February 2012; in revised form: 1 March 2012 / Accepted: 1 March 2012 / Published: 7 March 2012| Download PDF Full-text (9080 KB)
Symmetry 2012, 4(2), 276-284; doi:10.3390/sym4020276
Received: 3 February 2012; in revised form: 19 March 2012 / Accepted: 18 April 2012 / Published: 27 April 2012| Download PDF Full-text (325 KB) | Download XML Full-text
Article: Diagrammatics in Art and Mathematics
Symmetry 2012, 4(2), 285-301; doi:10.3390/sym4020285
Received: 8 March 2012; in revised form: 25 April 2012 / Accepted: 28 April 2012 / Published: 22 May 2012| Download PDF Full-text (30730 KB)
Article: Knots in Art
Symmetry 2012, 4(2), 302-328; doi:10.3390/sym4020302
Received: 9 May 2012; in revised form: 15 May 2012 / Accepted: 15 May 2012 / Published: 5 June 2012| Download PDF Full-text (5009 KB)
Last update: 10 October 2012