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Reference Lists: Mathematical Articles on Weaving

Weaving: Alphabetical

Weaving: Chronological

Weaving: Alphabetical
  1. Ahmed, Abdalla G. M. AA Weaving. Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013), pp. 263--270.
  2. Ahmed, Abdalla G. M. Modular Duotone Weaving Design. Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014), pp. 27--34.
  3. Ahmed, Abdalla G. M.; Deussen, Oliver. Tuti Weaving, in Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, ed. E. Torrence, B. Torrence, C. Sequin, D. McKenna, K. Fenyvesi, R. Sarhangi, 49--56.
  4. Ahmed, Abdalla; Deussen, Oliver. Tuti Inter-Weaving, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C. H. Sequin, and K. Fenyvesi, 229--236.
  5. Ahmed, Abdalla G.M.; Deussen, Oliver. Monochrome Map Weaving with Truchet-Like Tiles, in Proceedings of Bridges 2018: Mathematics, Art, Music, Architecture, Education, Culture, ed. E. Torrence, B. Torrence, C. Sequin, and K. Fenyvesi, 45--52}.
  6. Ahmed, Abdalla G. M Tuti-Like Interweaving, in Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi, 195--202.
  7. Akleman, Ergun; Chen, Jianer; Gross, Jonathan L.; Hu, Shiyu. A Topologically Complete Theory of Weaving, SIAM J. Disc. Math., Vol. 34 (2020), No. 4, pp. 2457--2480. (preprint)
  8. Akleman, Ergun; Chen, Jianer; Xing, Qing; Gross, Jonathan L. Cyclic plain-weaving on polygonal mesh surfaces with graph rotation systems. ACM Transactions on Graphics, Proceedings of ACM SIGGRAPH 2009 28(3) August 2009, Article No. 78.
  9. Bright, Matt; Kurlin, Vitaliy. Encoding and topological computation on textile structures, Computers & Graphics, Volume 90, 2020, 51--61. (arXiv version.)
  10. Burkholder, Douglas G. Brunnian Weavings. Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (2010), pp. 263--270.
  11. Chen, Yen-Lin; Akleman, Ergun; Chen, Jianer; Xing, Qing. Designing Biaxial Textile Weaving Patterns. Hyperseeing: Proceedings of ISAMA 2010, Summer 2010, 53--62.
  12. Clapham, C. R. J. When a fabric hangs together. Bull. London Math. Soc. 12 (1980), no. 3, 161--164.
  13. Clapham, C. R. J. The strength of a fabric. Bull. London Math. Soc. 26 (1994), no. 2, 127--131.
  14. Clapham, C. R. J. The bipartite tournament associated with a fabric. Discrete Math. 57 (1985), no. 1-2, 195--197.
  15. Clapham, C. R. J. When a three-way fabric hangs together. J. Combin. Theory Ser. B 38 (1985), no. 2, 190.
  16. Damrau, Milena. Sombrero Vueltiao---Weaving Mathematics, in Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi, 359--362.
  17. Delaney, Cathy. When a Fabric Hangs Together. Ars Combinatoria 21-A (1986), 71--79.
  18. Diamantis, Ioannis; Lambropoulou, Sofia; Mahmoudi, Sonia. Equivalence of Doubly Periodic Tangles, arXiv preprint 2023.
  19. Enns, T. C. An efficient algorithm determining when a fabric hangs together. Geometriae Dedicata, 15 (1984), 259--260.
  20. Feijs, Loe and Toeters, Marina. A Cellular Automaton for Pied-de-poule (Houndstooth), in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C. H. Sequin, and K. Fenyvesi, 403--406.
  21. Fujita, Tadashi. Warp Lifting Plan of Weaving Calculated with Matrices. Journal of the Textile Machinery Society of Japan, 1962 Volume 8 Issue 1, 29--32.
  22. Fukuda, Mizuki; Kotani, Motoko; Mahmoudi, Sonia. Classification of doubly periodic untwisted (p,q)-weaves by their crossing number and matrices, Journal of Knot Theory and Its Ramifications, Vol. 32, No. 05, 2350032 (2023). (arXiv version.)
  23. Grünbaum, Branko; Shephard, Geoffrey. Geometry of fabrics, Abstract for the 757th meeting (sectional) at U Oregon June 1978, Notices of the Amer. Math. Soc., 25 (1978), page A-462.
  24. Grünbaum, B.; Shephard, G. C. Satins and Twills: Introduction to the Geometry of Fabrics. Mathematics Magazine, vol. 53, no. 3, May 1980, p. 139--161. (PDF)
  25. Grünbaum, B., and G. Shephard, Geometry of Fabrics, in Geometrical Combinatorics, F. Holroyd and R. Wilson, (eds.), Pitman, 1984, p. 77--97.
  26. Grünbaum, B.; Shephard, G. C. A catalogue of isonemal fabrics. Discrete Geometry and Convexity, Annals of the New York Academy of Sciences 440 (1985), 279--298.
  27. Grünbaum, B.; Shephard, G. C. An extension to the catalogue of isonemal fabrics. Discrete Math. 60 (1986), 155--192.
  28. Grünbaum, B.; Shephard, G. C. Isonemal fabrics. Amer. Math. Monthly 95 (1988), 5--30.
  29. Holden, Joshua. Markov Chains, Coptic Bananas, and Egyptian Tombs: Generating Tablet Weaving Designs Using Mean-Reverting Processes, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi, 419--422.
  30. Holden, Joshua. Markov Chains and Egyptian Tombs: Generating "Egyptian" Tablet Weaving Designs Using Mean-Reverting Processes, in Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture, ed. D. Swart, F. Farris, and E. Torrence, 165--172.
  31. 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.
  32. 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.
  33. Hoskins, J. A.; Stanton, R. G.; Street, A. P. The compound twillins: reflection at an element. Ars Combin. 17 (1984), 177--190.
  34. 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.
  35. 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.
  36. 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.
  37. Hoskins, Janet A.; Praeger, Cheryl E.; Street, Anne Penfold. Twills with bounded float length. Bull. Austral. Math. Soc. 28 (1983), no. 2, 255--281.
  38. Hoskins, J. A.; Stanton, R. G.; Street, Anne Penfold. Enumerating the compound twillins. Congr. Numer. 38 (1983), 3--22.
  39. Hoskins, J. A.; Hoskins, W. D.; Street, Anne Penfold; Stanton, R. G. Some elementary isonemal binary matrices. Ars Combin. 13 (1982), 3--38.
  40. Hoskins, J. A. Factoring binary matrices: a weaver's approach. in Combinatorial mathematics, IX (Brisbane, 1981), pp. 300--326, Lecture Notes in Math., 952, Springer, Berlin-New York, 1982.
  41. 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.
  42. Hoskins, W. D.; Street, Anne. Twills on a given number of harnesses, J. Australian Math. Soc. (Ser. A), 33 (1982) 1--15.
  43. Hoskins, W. D.; Thomas, R.S.D. Conditions for isonemal arrays on a Cartesian grid, Lin. Algebra and Appl. 57 (1984) 87--103.
  44. Knoll, Eva; McLellan, Karyn; Cox, Danielle. The rhizomic tiles at Shooter's Hill: an application of Truchet tiles. Journal of Mathematics and the Arts, 2024, Vol. 18, No. 3--4, 222--243.
  45. Lourie, Janice. Loom-constrained designs: an algebraic solution, Proceedings ACM National Conference, 1969, p. 185--192.
  46. Lucas, E. Application de l'Arithmétique à la Construction de l'Armure des Satins Réguliers, Paris, 1867.
  47. Lucas, E. Principii fondamentali della geometria dei tessute, L'Ingegneria Civile e le Arti Industriali, 6 (1880) 104--111, 113--115.
  48. Lucas, E. Les principes fondamentaux de la géometrie des tissus, Compte Rendu de L'Association Française fpour l'Avancement des Sciences, 40 (1911) 72--88.
  49. Mahmoudi, Sonia. On the classification of periodic weaves and universal cover of links in thickened surfaces, Commun. Korean Math. Soc. 2024; 39(4): 997--1025.
  50. Marks, Lisa; Rohm, Owen. Connected Weaving: What Computational Patterning Can Contribute to Complex Weaving Utilization, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, ed H. Verrill, K. Kattchee, S.L. Gould, and E. Torrence, 235--242.
  51. Oates-Williams, Sheila; Street, Anne Penfold. Universal fabrics. in Combinatorial Mathematics VIII: Proceedings of the Eighth Australian Conference on Combinatorial Mathematics Held at Deakin University, Geelong, Australia, August 2529, 1980, Lecture Notes in Mathematics 884, pp. 355--359. Springer, 1981.
  52. Pedersen, Jean J. Some isonemal fabrics on polyhedral surfaces. In The Geometric Vein: The Coxeter Festschrift, ed. by Chandler Davis, Branko Grünbaum, and F. A. Sherk, pp. 99--122, Springer-Verlag, 1981.
  53. Pedersen, Jean. Geometry: the unity of theory and practice. Math. Intelligencer 5 (1983), no. 4, 37--49.
  54. Philips, Tony. Inside-out Frieze Symmetries in Ancient Peruvian Weavings. AMS Feature Column October 2008.
  55. Roth, Richard L. The symmetry groups of periodic isonemal fabrics. Geom. Dedicata 48 (1993), 191--210.
  56. Roth, Richard L. Perfect colorings of isonemal fabrics using two colors. Geom. Dedicata 56 (1995), 307--326.
  57. Shorter, S.A. The Mathematical Theory of the Sateen Arrangement. The Mathematical Gazette. 10 (1920), p.92--97. (PDF)
  58. Thomas, R.S.D. Isonemal prefabrics with only parallel axes of symmetry. Discrete Mathematics 309 (9), 6 May 2009, 2696--2711.
  59. Thomas, R.S.D. Isonemal Prefabrics with Perpendicular Axes of Symmetry. Utilitas Mathematica, 82 (2010), 33--70. arXiv version.
  60. Thomas, R.S.D. Isonemal Prefabrics with No Axes of Symmetry. Discrete Mathematics 310 (2010), 1307--1324..
  61. Thomas, R.S.D. Perfect colourings of isonemal fabrics by thin striping. Bulletin of the Australian Mathematical Society, 83, No. 1, 63-86 (2011).
  62. Thomas, R.S.D. Perfect colourings of isonemal fabrics by thick striping. Bulletin of the Australian Mathematical Society,Volume 85, Issue 02 (April 2012), pp 325--349.
  63. Thomas, Robert S.D. Colouring Isonemal Fabrics with more than two Colours by Thick Striping. Contributions to Discrete Mathematics. Vol 8, No 1 (2013).
  64. Thomas, Robert S.D. Colouring Isonemal Fabrics with more than two Colours by Thin Striping. Contributions to Discrete Mathematics. Vol 9, No 2 (2014).
  65. Woods, H. J. The geometrical basis of pattern design. Part II---Nets and Sateens. Textile Institute of Manchester Journal, 26 (1935), T293--T308.
  66. Zelinka, Bohdan. Isonemality and mononemality of woven fabrics. Aplikace matematiky, 28(3) 1983, 194--198.
  67. Zelinka, Bohdan. Symmetries of woven fabrics. Aplikace matematiky, 29(1) 1984, 14--22.
Weaving: Chronological
Prior to 1980
1980--1984
1985--1999
2000--2009
2010--2010
2020--2024
2025--
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