Reference List: Mathematical Articles on Fiber Arts

Articles appearing in academic publications

Weaving

[1] Clapham, C. R. J. The strength of a fabric. Bull. London Math. Soc. 26 (1994), no. 2, 127--131.

[2] Clapham, C. R. J. The bipartite tournament associated with a fabric. Discrete Math. 57 (1985), no. 1-2, 195--197.

[3] Clapham, C. R. J. When a three-way fabric hangs together. J. Combin. Theory Ser. B 38 (1985), no. 2, 190.

[4] Clapham, C. R. J. When a fabric hangs together. Bull. London Math. Soc. 12 (1980), no. 3, 161--164.

[5] Grunbaum, B.; Shephard, G. C. Satins and Twills: Introduction to the Geometry of Fabrics. Mathematics Magazine, vol.53, no. 3, May 1980, p. 139-161.

[6] Hoskins, J. A.; Thomas, R. S. D. The patterns of the isonemal two-colour two-way two-fold fabrics. Bull. Austral. Math. Soc. 44 (1991), no. 1, 33--43.

[7] Hoskins, J. A.; Hoskins, W. D. An algorithm for color factoring a matrix. Current trends in matrix theory (Auburn, Ala., 1986), 147--154, North-Holland, New York, 1987.

[8] Hoskins, J. A.; Stanton, R. G.; Street, A. P. The compound twillins: reflection at an element. Ars Combin. 17 (1984), 177--190.

[9] Hoskins, Janet A.; Street, Anne Penfold; Stanton, R. G. Binary interlacement arrays, and how to find them. Proceedings of the thirteenth Manitoba conference on numerical mathematics and computing (Winnipeg, Man., 1983). Congr. Numer. 42 (1984), 321--376.

[10] Hoskins, Janet A.; Praeger, Cheryl E.; Street, Anne Penfold. Balanced twills with bounded float length. Proceedings of the fourteenth Southeastern conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1983). Congr. Numer. 40 (1983), 77--89.

[11] Hoskins, J. A. Binary interlacement arrays and structural cross-sections. Proceedings of the fourteenth Southeastern conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1983). Congr. Numer. 40 (1983), 63--76.

[12] Hoskins, Janet A.; Praeger, Cheryl E.; Street, Anne Penfold. Twills with bounded float length. Bull. Austral. Math. Soc. 28 (1983), no. 2, 255--281.

[13] Hoskins, J. A.; Stanton, R. G.; Street, Anne Penfold. Enumerating the compound twillins. Congr. Numer. 38 (1983), 3--22.

[14] Hoskins, J. A.; Hoskins, W. D.; Street, Anne Penfold; Stanton, R. G. Some elementary isonemal binary matrices. Ars Combin. 13 (1982), 3--38.

[15] Hoskins, J. A. Factoring binary matrices: a weaver's approach. Combinatorial mathematics, IX (Brisbane, 1981), pp. 300--326, Lecture Notes in Math., 952, Springer, Berlin-New York, 1982.

[16] Hoskins, Janet A.; Hoskins, W. D. The solution of certain matrix equations arising from the structural analysis of woven fabrics. Ars Combin. 11 (1981), 51--59.

[17] Lucas, E. Application de l'Arithm\'{e}tique \`{a} la Construction de l'Armure des Satins R\'{e}guliers, Paris, 1867.

[18] Lucas, E. Principii fondamentali della geometria dei tessute, L'Ingegneria Civile e le Arti Industriali, 6 (1880) 104--111, 113--115.

[19] Lucas, E. Les principes fondamentaux de la g\'{e}ometrie des tissus, Compte Rendu de L'Association Fran\c{c}aise fpour l'Avancement des Sciences, 40 (1911) 72--88.

[20] Pedersen, Jean. Geometry: the unity of theory and practice. Math. Intelligencer 5 (1983), no. 4, 37--49.

[21] Pedersen, Jean J. Some isonemal fabrics on polyhedral surfaces. The geometric vein, pp. 99--122, Springer, New York-Berlin, 1981.

[22] Shorter, S.A. The Mathematical Theory of the Sateen Arrangement. The Mathematical Gazette. 10, 1920, p.92-97.

Everything Else

[1] Adams, Colin; Fleming, Thomas; Koegel, Christopher. Brunnian Clothes on the Runway: Not for the Bashful. American Mathematical Monthly, 111 (November 2004), no. 9, 741--748.

[2] belcastro, s-m; Yackel, Carolyn. About Knitting. Math Horizons November 2006.

[3] Biedl, Therese; Horton, John D.; Lopez-Ortiz, Alejandro. Cross-Stitching Using Little Thread. Proceedings of the 17th Canadian Conference on Computational Geometry (CCCG'05), 199--202.

[4] Cochrane, Paul. Knitting Maths. Mathematics Teaching September 1988, pp. 26--28.

[5] Conway, J. H. Mrs. Perkins's quilt. Proc. Cambridge Philos. Soc. 60 (1964) 363--368. (This doesn't have even a reference to quilting, but the quilting application of the mathematics is obvious to crafters.)

[6] Fisher, Gwen. The Quaternions Quilts. FOCUS 25 (2005), no. 1, 4--5.

[7] Fisher, Gwen. Quilt Designs Using Non-Edge-to-Edge Tilings by Squares, in Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings 2003, ed. R. Sarhangi and C. Sequin, 265--272.

[8] Fisher, Gwen; Medina, Elsa. Cayley Tables as Quilt Designs, in Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings 2003, ed. R. Sarhangi and C. Sequin, 553-554.

[9] Funahashi, Tatsushi; Yamada, Masashi; Seki, Hirohisa; Itoh, Hidenori. A technique for representing cloth shapes and generating 3-dimensional knitting shapes. Forma 14 (1999), no. 3, 239--248.

[10] Harris, Mary. Mathematics and Fabrics. Mathematics Teaching 120 (1987), 43--45.

[11] Henderson, David W.; Taimina, Daina. Crocheting the hyperbolic plane. Math. Intelligencer 23 (2001), no. 2, 17--28. article (.pdf)

[12] Irving, Claire. Making the Real Projective Plane. Math. Gazette November 2005, 417--423.

[13] Isaksen, Daniel; Petrofsky, Al. Mobius knitting, in Bridges: Mathematical Connections in Art, Music, and Science, Conference Proceedings 1999, ed. R. Sarhangi, 1999, 67--76. article

[14] Osinga, Hinke M.; Krauskopf, Bernd. Crocheting the Lorenz manifold. The Mathematical Intelligencer 26 (2004), no. 4, 25--37. Preprint

[15] Reid, Miles. The Knitting of Surfaces. Eureka - The Journal of the Archimedeans 34 (1971), pp21-26.

[16] Ross, Joan. How to Make a Mobius Hat by Crocheting. Mathematics Teacher 78, (1985) 268 - 269.

[17] Trustrum, G. B. Mrs Perkins's quilt. Proc. Cambridge Philos. Soc. 61 1965 7--11. (This doesn't have even a reference to quilting, but the quilting application of the mathematics is obvious to crafters.)

[18] Williams, Mary C.; Sharp, John. A Collaborative Parabolic Quilt, in Bridges: Mathematical Connections in Art, Music, and Science, Conference Proceedings 2002, ed. R. Sarhangi, 143--149.

[19] Williams, Mary C. Quilts Inspired by Mathematics, in Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings 2003, ed. R. Sarhangi and C. Sequin, 393--399.

Articles appearing in nonacademic publications

sarah-marie belcastro, You Do the Math. KnitNet, Winter 2001.

Brenda Dayne, Geek chic. Interweave Knits Fall 2003 pp.68--71+118.

Mary Griffith, Wear Your Own Theory; A Beginner's Guide to Random Knitting. New Scientist, March 26, 1987, pp. 69--70.

Janice Hornicek, Color By Numbers. knitsimple, Spring/Summer 2006, pp. 22--25.

Debbie New, Celluar Automaton Knitting. Knitter's Magazine Number 49, Winter 1997, pp. 82--83.

Meg Swanson, Rita Buchanan, Möbius and Möbius II. Knitter's Magazine Winter 1991, pages 38 and 49.

Margaret Wertheim, Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina. Cabinet: A Quarterly Magazine of Art & Culture Issue 16, Winter 2004. The article is available online here. (There are lots of articles which feature Daina's work, but this is the best one available online.)

(Yeah, okay, I know there are more than just these. I suspect that I have/had more articles, and have misplaced them somehow. So if you know of any other articles, either academic or non-, please send me references...)