Selected Bibliography

MONOGRAPHS:

Theory of Symmetry and Ornament, APXAIA, Belgrade, 1984 (in Serbo-Croatian).

Geometry in Pre-Scientific Period & Ornament Today, Math. Inst., History of Math. and Mech. Sci., 3, Belgrade, 1989.

Theory of Symmetry and Ornament,  Math. Inst., Belgrade, 1995.

Symmetry, Ornament and Modularity, World Scientific, New Jersey, London, Singapore, Hong Kong, 2002.

 Simmetriya, Ornament, Modulyarnost', R&C Dynamics, Moskva, Izhevsk, 2006.

LinKnot (with R. Sazdanovic) World Scientific, New Jersey, London, Singapore, Hong Kong, 2007.

PAPERS:

Groups of Conformal Antisymmetry and Complex Antisymmetry in E²\{O}, Zeitschrift für Kristallographie 173 (1985), 129-138.

A New Method of Generating Plane Groups of Simple and Multiple Antisymmetry, Acta Crystallographica A42 (1986), 209-212.

Enantiomorphism of Antisymmetric Figures, Kristallografiya, 31, 5 (1986), 1009-1010 (in Russian).

Generalized Shubnikov Space Groups, Publ. Inst.Math. 40(54) (1986), 33-48 (in Russian).

Groups of Simple and Multiple Antisymmetry of Layers, Z. Kristall. 176 (1986), 283-290.

A New Method of Deriving and Cataloguing Simple and Multiple G₃^l Space Groups, Acta Cryst. A43 (1987), 326-337.

Algebra of Antisymmetric Characteristics, Publ. Inst. Math. 47(61) (1990), 39-55.

(p2,2^l)-Symmetry Three-Dimensional Space Groups G₃^{l, p}, Acta Cryst. A48 (1992).

Mackay Groups, Acta Cryst. A49 (1993), 132-137.

Pawley Multiple Antisymmetry Three-Dimensional Space Groups G₃^l,p2., Acta Cryst. A49 (1993), 127-132.

Space Groups of Simple and Multiple Colored Symmetry (jointly with A.F.Palistrant), Kristallografiya 38, 2 (1993), 4-11 (in Russian).

Proportional Colored Symmetry Groups, Acta Cryst. A50 (1994), 403-405.

Proportional Colored Symmetry Groups of Friezes, Z.Kristall. 209 (1994), 637-639.

Colored Symmetry, Coll. Sci. Papers of the Faculty of Sci., Kragujevac, 16 (1994), 41-46.

Edge-bicolorings of regular polyhedra, Z.Krist. 210 (1995) 173-176.

Curves Generated by Mirror Reflections, Filomat, 9, 2 (1995), 143-148.

Theory of Multiple Antisymmetry, Filomat 9, 3 (1995), 711-721.

Combinatorial results in theory of multiple antisymmetry, Reports of Acad. Sci. Moldova (1997).

Geometry of Links, Preprints of American Math.Soc., 1997.

Simple and Multiple Antisymmetry Space Groups Derived from Cubical P-symmetry Groups, Filomat, 11 (1997), 1-6.

Unknotting Number and oo-unknotting Number of  a Knot, Filomat, 12, 1 (1998), 113-120.

Ordering Knots, Extended Abstracts, Fourth ISIS Symmetry Congress, Haifa, 1998.

Mathematics and Ornamental Styles, Mathematics & Design 1998, (Ed. J. Barrallo), 393-397.

Ordering Knots, VisMath 1, http://symmetry-us.com/Journals/sl/index.html, 1999.

Geometry of Links, Novi Sad J. Math., 29, 3 (1999), 121-139.

Are Borromean Links so Rare?, Forma, 14 (1999), 269-277.

Geometry and Art of Knots, ISAMA '99 (Eds. N. Friedman and J. Barrallo), 1999.

Symmetry and Ornament, Bridges 2000, Conference Proceedings, 1-12, 2000.

 Modularity, MIT Press, (2004), pp. 259-281.(Modularity in Art, Modularity Workshop, Konrad Lorenz Institute for Evolution and Cognition Research, Altenberg, Austria, 2000).

Mirror Curves, Bridges 2001, Conference Proceedings, 2001.

Visual Mathematics, Intersections of Art and Science, Proceedings of ISIS-Symmetry Congress, Sydney, 2001.

Mackay Groups and their Applications, Journal for Structural Chemistry, 3-4, (2002), 259-266.

Jablan S. and Radovic Lj.: Computational derivation of antisymmetry and Colored symmetry groups, Izvestiya Akademii Nauk Respubliki Moldova, Matematika, 3 (40), 2002, 87-96.

Lj. Radovic and S. Jablan, Derivation of Mackay groups and their use for
derivation of some multidimensional symmetry groups, Izvestiya Akademii Nauk Respubliki Moldova, Matematika, 3 (40), 2002, 97-105.

Jablan S. and Sazdanovic R.: Discovering symmetry of knots by using program "LinKnot", Symmetry: Art and Science, The Journal of ISIS- Symmetry, Vol. 1-4, 2004, pp. 102-106.

Jablan S. and Sazdanovic R.: Visualizing symmetry of knots by using program "LinKnot", Symmetry: Art and Science, The Journal of ISIS-Symmetry, Vol. 1- 4, 2004, pp. 106-110.

Geometry in Dali's Works: A Play with Ambiguity,  Cosmo Caixa, The Museum of Science, Madrid, Spain, 2004, Cosmo Caixa, Cultural center, Lerida, Spain, 2004.

Modularity in Persian Mosaics (joint paper with Reza Sarhangi, Math Horizons, 2005).

S. Jablan, Lj. Radović and R. Sazdanović: Basic polyhedra in knot theory,  Kragujevac Journal of Mathematics, 28, 2005, 155-164.

S. Jablan and R. Sazdanovic: Knots, Links, and Self-Avoiding Curves, Forma, Vol. 22 (No. 1), pp. 5-13, 2007

S. Jablan and R. Sazdanovic: Unlinking Number and Unlinking Gap, Journal of Knot Theory and Its Ramifications, 16 (10), 2007, 1331-1355.

S. Jablan and R. Sazdanovic: Braid Family Representatives,  Journal of Knot Theory and Its Ramifications, (to appear)

Jablan S., Carolina Franco M. and Berardone N.: Ethnomathematical Analysis of the Collection of African Textiles, Mathematics and Design (to appear).

Jablan S. and Radovic Lj.: Visual Mathematics for Designers, ISAMA 2008 (to appear).
 

 SOFTWARE:

“webMathematica”- program “LinKnot” (authors: S. Jablan and R. Sazdanovic), 2002, http://math.ict.edu.yu/

“Mathematica”-based program “LinKnot” (authors: S. Jablan and R. Sazdanovic), 2002, http://symmetry-us.com/Journals/linknot/

Results obtained by "LinKnot" are included in:

On-Line Encyclopedia of Integer Sequences
www.research.att.com/ ~njas/sequences/

Knot Tables by C. Livingston:
www.indiana.edu/~knotinfo/acknowledgements.html
www.indiana.edu/~knotinfo/ descriptions/unknotting_number.html

Knot Atlas by Dror Bar Natan
http://katlas.math.toronto.edu/wiki/Conway_Notation

INTERNATIONAL CONFERENCES:

 Multiple Antisymmetry, Geometry Conference, Leibnitz (Austria), 1985.

Algebra antisimmetricheskih harakteristik (Algebra of Antisymmetric Characteristics), IX vsesoy. geom. konf., Tezisy soobsch., Kishinev (USSR), 1988, p. 373 (in Russian).

Simple and Multiple Antisymmetry, Symmetry of Structure, Interdisciplinary Symmetry Symposia 1, Budapest (Hungary), Abstracts I, 1989, p. 254-257.

Colored Symmetry of Bands, XVIII International Colloquium on Group-Theoretical Methods in Physics, Moscow (USSR), 1990.

Mackay Groups, XIII European Crystallographic Meeting, Trieste (Italy), 1991, p. 58.

Colored Symmetry- the First 7000 Years, International Conference "Centenary of Space Groups", Leningrad (USSR), 1991, p. 152.

Multiple Antisymmetry Colorings, Conference on Intuitive Geometry, Szeged (Hungary), 1991, p. 10.

Colored Simple and Multiple Antisymmetry, VI International Conference on Geometry, Nahsholim (Israel), 1992, p. 31.

Colored Antisymmetry, Symposium "Symmetry of Patterns", Hiroshima, Japan, 1992 (in "Symmetry: Culture and Science", 3, 1, (1992), 38-39.

Theory of Symmetry and Ornament, International Conference on Geometry, Nahsholim (Israel), 1995.

Mirror-generated Curves, Symmetry: Culture and Science, 6, 2 (1995), 275-279.

"Mathematics and Art", International Conference, Suzdal', Russia, 1996.

"Mathematics and Education", Samos, Greece, 1998.

"Mathematics & Design", San Sebastian, Spain, 1998.

"Knots in Hellas", Delphi, Greece, 1998.

Fourth ISIS Symmetry Congress, Haifa, Israel, 1998.

"ISAMA '99", San Sebastian, Spain, 1999.

"Katachi U Symmetry", Tsukuba, Japan, 1999.

"Alhambra 2000", Granada, Spain, 2000.

"Bridges 2000", Winfield, USA, 2000.

Modularity Workshop, Altenberg, Austria, 2000.

ISIS Symmetry Congress, Sydney, Australia, 2001.

Bridges 2001, Winfield, Kansas, USA, 2001.

Matomium, Brussels, 2002.

Do you like Paleolithic Op-art?, ISAMA 2002, Freiburg, Germany

International Seminar on Discrete Geometry, Chisinau, Moldova, 2002.

“The program "LinKnot"-its theoretical background and experimental mathematics results obtained”, Knots in Washington, Washington D.C., 2003

Bridges 2004, Winfield, Kansas, USA

ISIS Congress and Exhibition, Tihany Lake, 2004.

AMS-MAA Joint Mathematics Meeting, San Antonio, USA, 2006.

Seven Small Mathematical Wandres, Gathering for Gardner 7, Atlanta, USA, 2006.

Ishango, 22000 and 50 years later : the cradle of mathematics, Brussels, Feb. 28-March 2, 2007

7th International ISIS Symmetry Congress, Buenos Aires, Argentina, November 11-17, 2007.

Knot Theory- Open Problems, Gathering for Gardner 8, Atlanta, USA, 2008.

 CD-ROMs:

Modularity in Art & Mirror Curves, in Oven Jones: The Grammar of Ornament,
Direct Imagination, 1998.

Bridges 2001, The Editor of the CD-ROM

ISIS-SYMMETRY 2001, The Editor of the CD-ROM.

Modular Games by Slavik Jablan, Nexus Network Journal, 2001.

EXIBITS:

Colored Ornamental Tilings,
2^ Quadrienale Internazionale "Ceramica nell arredo urbano", Faenza (Italy), 1987, 118.

Two-Colored Ornamental Tilings,
Symmetry of Structure, Interdisciplinary Symmetry Symposia 1, National Gallery, Budapest (Hungary), 1989.

Colored Tilings,
XII European Crystallographic Meeting, Moscow (USSR), 1989.

Magic,
V International Industrial Design and Technological Innovation Competition, CEVISAMA'94, Valencia (Spain), 1994.

Visual Mathematics, Culture Center "Studentski grad", Belgrade, 2002.

Rhythm of Structure: Beyond the Mathematics, Oliver Gallery at University of South Florida and Museum of Museum of Science and Industry, Tampa, 2007.

PODgallery, New York.

10th Annual All Media Juried Online International Art Exhibition, January 2008.

Exhibition of Mathematical Art, AMS and MAA Joint Mathematics Meetings, San Antonio, 2006.

Exhibition of Mathematical Art, AMS and MAA Joint Mathematics Meetings, San Diego, 2008.

AWARDS:

Two-Colored Ornamental Tilings,
V International Industrial Design and Technological Innovation Competition, CEVISAMA'87, Valencia (Spain)- The Honorable mention.

OTHER:

More then 30 papers published in international and national journals (Publ. Inst. Math., Math. Vesnik, etc.). on the theory of symmetry, antisymmetry, colored symmetry, history of ornamental art and its symmetry analysis. For their complete list see Math. Rew.:
87i:20091; 88f:20064; 88h:20059; 88i:82060; 89b:20102; 89c:20072; 89i:20076; 89j:20058; 89h:20069; 90h: 20072; 90m:01001; 92i:01004; 92c:20090; 92g:01008; 92g:20077; 92m:01005; 92m:20042; 92m:20043; 93a:20078; 93d:20032; 93j:01006; 94c:20084; 94c:20085; 94f:20094; 94i:20090; 94m:52025; 95a:82117; 95b:20072; 95g:53005; 95i:05057; 96e:20078; 96f:20075; 96f:20075; 96f:20076; 96f:52013; 96h:20090; 96j:00031; 96k:00015; 96k:00016, etc.

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