Previous abstract | Back to issue content | Next abstract |
Volume 32, Number 1, pages 091-102 (2021)
https://doi.org/10.26830/symmetry_2021_1_091
SYMMETRIES OF AN ONLINE CULTURE: TWO-COLOUR FRIEZE PATTERNS IN FRIENDSHIP BRACELETS
Kathryn Beck1, Lorelei Koss2*
1 Department of Mathematical Sciences, University of Delaware, 501 Ewing Hall Newark, DE 19716, U.S.A.
E-mail: kbeck@udel.edu
2 Department of Mathematics and Computer Science, Dickinson College, P.O. Box 1773, Carlisle, PA 17013, U.S.A.
E-mail: koss@dickinson.edu
* corresponding author
Abstract: The mathematical study of frieze symmetry in art is well established; to date, scholarship has focused primarily on historical artefacts or traditional crafts. Here, we apply established tools to an emerging craft of a global online community. This paper studies frieze symmetry patterns in friendship bracelet designs found in the online database Braceletbook. Artists who contribute bracelet designs form a global community, with people from all six inhabited continents submitting patterns and over 140,000 registered users. We study which of the 24 two-colour frieze patterns can be realized in a friendship bracelet design and investigate the symmetry preferences of this community.
Keywords: frieze symmetries, fiber arts, visual arts, ethnomathematics.MSC 2020: 00A66, 01A07
References:
Bérczi, S. (1989) Symmetry and technology in ornamental art of old Hungarians and Avar-Onogurians from the archaeological finds of the Carpathian Basin, seventh to tenth century A.D., Computers & Mathematics with Applications, 17, 4–6, 715–730. https://doi.org/10.1016/0898-1221(89)90258-7
Bérczi, S. (2000) Katachi U symmetry in the ornamental art of the last thousands of years of Eurasia, Forma-Tokyo, 15, 1, 11–28.509
Campbell, P.J. (1989) The geometry of decoration on prehistoric pueblo pottery from Starkweather ruin, Computers & Mathematics with Applications, 17, 4–6, 731–749. https://doi.org/10.1016/0898-1221(89)90259-9
Carter, R. (1996) The history of macrame, In: Turner, J.C., van de Griend, P.C., eds. History and Science of Knots, Vol. 11, Singapore: World Scientific.
Crowe, D.W., Torrence, R. (1993) A minicatalog of pmm patterns, Symmetry: Culture and Science, 4, 4, 385–396.
Crowe, D.W., Washburn, D.K. (1985) Groups and geometry in the ceramic art of San Ildefonso, Algebras, Groups and Geometries, 3, 2, 263–277.
Donnay, J.D.H., Donnay, G. (1985) Symmetry and antisymmetry in Maori rafter designs, Empirical Studies of the Arts, 3, 1, 23–45. https://doi.org/10.2190/GKRH-MXP2-3BN1-F6VP
Hevrdejs, J. (1990) Armed and friendly, Chicago Tribune, 7 February 1990. https://www.chicagotribune.com/news/ct-xpm-1990-02-07-9001110507-story.html, Accessed 10, March 2021.
Jablan, S. (2000) Symmetry and Ornament, In: Sarhangi, R., ed. Proceedings of Bridges 2000: Mathematics, Music, Art, Architecture, Culture, Winfield, KS: Department of Mathematics and Computer Science, Southwestern College, ISBN 0-9665201-2-2, 1–12.
James, D., Kalisperis, L.N., James, A.V. (2003) The mathematics of color-reversing decorative friezes: Facades of Pirgí, Greece, In: Barrallo, J. et al., eds. Meeting Alhambra: ISAMA-Bridges Conference Proceedings, Granada, Spain: University of Granada, Faculty of Sciences, 135–142.
James, A.V., Kalisperis, L.N., James, D. (2004) A unique art form: The friezes of Pirgí, Leonardo, 37, 3, 234–242. https://doi.org/10.1162/0024094041139409
Kadaba, L.S. (1986) A Quirky and colorful fad all in the name of friendship, Philadelphia Inquirer, 21 December 1986.
Katsap, A., Silverman, F.L. (2016) Transformations, shapes and patterns analysis in the Negev Bedouins’ embroideries, In: Ethnomathematics of Negev Bedouins’ Existence in Forms, Symbols and Geometric Patterns, Rotterdam: Sense Publisher, 309 pp, 69–166. https://doi.org/10.1007/978-94-6209-950-0_6
Kleň, J. (2010) https://www.braceletbook.com, [Website], Accessed 10 March 2021.
Lekka, L., Dascalopoulos, S. (2008) Motifs and symmetry characteristics of the ornamentation on traditional Greek woven textiles from the area of the Aegean, Fibres & Textiles in Eastern Europe, 16, 68, 74–78.
Nagy, D. (1993) Symmetric patterns and ethnomathematics in the South Pacific: Inspiring research and helping education, Symmetry: Culture and Science, 4, 4, 419–428.
Radovic, L., Jablan, S. (2001) Antisymmetry and modularity in ornamental art, Visual Mathematics, [Journal of the Mathematical Institute SASA, Belgrade, Serbia], 3, 2, 55–66.
Washburn, D.K., Crowe, D.W. (1988) Symmetries of culture: Theory and practice of plane pattern analysis, Seattle, WA: University of Washington Press, 301 pp.
Previous abstract | Back to issue content | Next abstract |