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Referenz

Lali Barrière: Combinatorics in the Art of the Twentieth Century. In: Bridges 2017, Pages 321–328.

DOI

Abstract

This paper is motivated by a question I asked myself: How can combinatorial structures be used in a work of art? Immediately, other questions arose: Whether there are artists that work or think combinatorially? If so, what works have they produced in this way? What are the similarities and differences between art works produced using combinatorics? This paper presents the first results of the attempt to answer these questions, being a survey of a selection of works that use or contain combinatorics in some way, including music, literature and visual arts, focusing on the twentieth century.

Extended Abstract

Bibtex

@inproceedings{bridges2017:321,
 author      = {Lali Barri\`{e}re},
 title       = {Combinatorics in the Art of the Twentieth Century},
 pages       = {321--328},
 booktitle   = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},
 year        = {2017},
 editor      = {David Swart, Carlo H. S\'equin, and Krist\'of Fenyvesi},
 isbn        = {978-1-938664-22-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 note        = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-321.pdf}}
}

Used References

[1] M. Bense. Aesthetica II - Aesthetische Information. Agis-Verlag, 1956.

[2] D. Benson. Music: A Mathematical Offering. Cambridge University Press, 2006.

[3] C. Berge, “Para un an´alisis potencial de la literatura combinatoria”. In: H. Salceda, ed. OULIPO. Atlas de Literatura Potencial, 1: Ideas Potentes. Pepitas de Calabaza, Logro˜no, Spain, 2016. (Translated from French.)

[4] M. Bill, “The Mathematical Approach in Contemporary Art”. In: K. Stiles and P. Selz, eds., Theories and Documents of Contemporary Art. A Sourcebook of Artists’ Writings, University of California Press, 1996, pp. 74–77.

[5] I. Calvino, “Appunti sulla narrativa come processo combinatorio”, Nuova Corrente, 46-47, 1968.

[6] P. J. Cameron. Combinatorics: Topics, Techniques, Algorithms. Cambridge University Press, 1994.

[7] Editions 75 – works by Tom Johnson. http://www.editions75.com/ (as of Jan. 25, 2017).

[8] C. T. Funkhouser. Prehistoric Digital Poetry. An Archaeology of Forms, 1959-1995. The University of Alabama Press, 2007.

[9] T. Hapke, “Wilhelm Ostwald’s Combinatorics as a Link Between In-formation and Form”, Library Trends, 61(2): 286–303, 2012.

[10] D. Higgins. Pattern Poetry: Guide to an Unknown Literature. SUNY Press, 1987.

[11] T. Johnson, F. Jedrzejewski. Looking at Numbers. Springer, 2014.

[12] E. Knoblock, “The Sounding Algebra: Relations Between Combinatorics and Music from Mersenne to Euler”. In G. Assayag, H. G. Feichtinger, J. F. Rodrigues, eds., Music and Mathematics. A Diderot Mathematical Forum, Springer, 2002.

[13] S. LeWitt, “Serial Project #1”, Aspen, 5-6, 1967.

[14] M. G. Lorenzi and M. Francaviglia, “The Role of Mathematics in Contemporary Art at the Turn of the Millenium”, Aplimat - Journal of Applied Mathematics, 4(4): 215–238, 2011.

[15] G. Loy. Musimathics. The mathematical Foundations of Music. Vol.1. The MIT Press, 2006.

[16] Manfred Mohr. http://www.emohr.com/ (as of Jan. 25, 2017).

[17] M. Mohr. Computer graphics. Une ´esthetique programm´ee. Weberdruck Pforzheim, 1971.

[18] C. Nolan, “On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory”. In R. Sarhangi ed., Proceedings of Bridges 2000: Mathematics, Music, Art, Architecture, Education, Culture, pages 201–208, Winfield, Kansas, 2000.

[19] G. Perec, “Quatre figures pour La Vie mode d’emploi”. In: Oulipo Atlas de litt´erature potentielle, Gallimard, 1981, p. 387-395.

[20] J.-M. Place, “Vera Molnar, Regard sur mes images”, Revue d’esthtique, 7, 1984.

[21] R. C. Read, “Combinatorial problems in the theory of music”, Discrete Mathematics, 167-168: 543– 551, 1997.

[22] M. Rottman, “Donald Judd’s Arithmetics and Sol LeWitt’s Combinatorics. On the Relationship Between Visual and Mathematical in New York Art Around 1960”. In M. Emmer, ed., Imagine Math 3. Between Culture and Mathematics, Springer, 2015.

[23] A. Schoenberg, “Composition with Twelve Tones”. In Style and Idea. Selected Writings of Arnold Schoenberg, Faber & Faber, 1975, pp. 102–143.

[24] W. A. Sethares. Rhythm and Transforms. Springer, 2007.

[25] D. R. Stinson. Combinatorial Designs: Constructions and Analysis. Springer, 2004.

[26] Vera Molnar. http://www.veramolnar.com/ (as of Jan. 25, 2017).


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