Reference Lists: Mathematical Articles on Fabric (Sewing, Quilting, Patterns):
Fabric (Sewing, Quilting, Patterns): Alphabetical
- Baker, Ellie; Baker, Daniel; Wampler, Charles. Infinitely Invertible Infinity, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
83--92.
- Baker, Ellie; Lee, Kevin. Tessellated Seven-Color Tori, in
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi, 517--520.
- Baker, Ellie; Wampler, Charles. Invertible Infinity: A Toroidal Fashion Statement, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
49--56.
- Baker, Ellie; Wampler, Charles; Baker, Daniel. Triply invertible scarf sewing adventures (and instructions). Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 22--49.
- Campbell, Lewis; Delp, Kelly; Matsumoto, Elisabetta. Bending Seams - How to Create Couture Curves, in Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture, ed. D. Swart, F. Farris, and E. Torrence, 249--252.
- Carlson, Christopher; Paley, Nina; Gray, Theodore. Algorithmic Quilting, in Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, ed. K. Delp, C. S. Kaplan, D. McKenna and R. Sarhangi, 231--238.
- 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.)
- Curtis, S.A. An Application of Functional Programming: Quilting. in
Trends in Functional Programming, edited by Stephen Gilmore,
Vol. 2, Intellect, 2000.
- Curtis, S.A. Marble Mingling. Journal of Functional Programming, 16 (2006), issue 2, 129--136. (This has a passing mention of a quilting problem.)
- DeTemple, Duane. Reflection Borders for Patchwork Quilts. Mathematics
Teacher, February 1986, 138–143.
- Ellison, Elaine Krajenke. The Sum of Odd Integers Quilt, in
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi,
505--508.
- Fisher, Gwen. The Quaternions Quilts. FOCUS 25 (2005), no. 1, 4--5.
- 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.
- Goldstine, Susan. Fortunatus's Purse, in Making Mathematics with Needlework, A K Peters (2007), pp. 104--117. (Focuses on sewing and topology.)
- Gould, Frank; Gould, S. Louise. Exploring the Projective Plane via Variations on the Faceted Octahedron.
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012), pp. 507--508
- Gould, S. Louise. Triply Periodic Polyhedra in Euclidean Three-Dimensional Space, in Figuring Fibers, American Mathematical Society (2018), pp. 139--172.
- Gould, S. Louise. Orbifold Jacket. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 50--61.
- Grünbaum, Branko. Periodic Ornamentation of the Fabric Plane:
Lessons from Peruvian Fabrics. In Symmetry Comes of Age: The Role of Pattern in
Culture, pp. 18--64. University of Washington Press, 2004.
- Harris, Mary. Mathematics and Fabrics. Mathematics Teaching 120 (1987),
43--45.
- Leake, Mackenzie; Bernstein, Gilbert; Davis, Abe; Agrawala, Maneesh. A Mathematical Foundation for Foundation Paper
Pieceable Quilts. ACM Trans. Graph., vol. 40, no. 4, Jul 2021, pp. 1--14.
- Mabbs, Louise. Fabric Sculpture—Jacobs Ladder. In Bridges London:
Conference Proceedings 2006, pp. 561–568. Tarquin Publications, 2006.
- Matsumoto, Elisabetta, Quilting the Klein Quartic, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
411--414.
- Nimershiem, Barbara E. Piecing Together Link Complements, in Figuring Fibers, American Mathematical Society (2018), pp. 175--224.
- Shepherd, Mary D. Variations on Snake Trail Quilting Patterns, in Figuring Fibers, American Mathematical Society (2018), pp. 83--99.
- Shepherd, Mary. Categorizing Drunkard's Path type quilting patterns. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 62--84.
- Stecher, Bobby; Yackel, Carolyn. Dyeing to Make an Orbifold, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, ed H. Verrill, K. Kattchee, S.L. Gould, and E. Torrence, 545--552.
- Swanson, Irena. Quilting Semiregular Tessellations, in Crafting by Concepts, A K Peters (2011), pp. 186--232.
- Szczepanski, Amy. Quilted Möbius Band, in Making Mathematics with Needlework, A K Peters (2007), pp. 11--28.
- 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.)
- 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.
- Williams, Mary C. Quilts Inspired by Mathematics, in Meeting Alhambra,
ISAMA-BRIDGES Conference Proceedings 2003, ed. R. Sarhangi and C. Sequin,
393--399.
- Wolff, Katja; Sorkine-Hornung, Olga. Wallpaper pattern alignment along garment seams. ACM Transactions on Graphics (TOG), Volume 38, Issue 4, July 2019,
Article No.: 62, pp. 1--12.
- Wu, Jiangmei. The artistry and algorithms in fabric origami tessellations. Journal of Mathematics and the Arts, 2024, Vol. 18, No. 3--4, 201--221.
- Yackel, Carolyn. Wallpaper patterns admissible in itajime shibori, Journal of Mathematics and the Arts, 15:3-4 (2021), pp. 232--244.
Fabric (Sewing, Quilting, Patterns): Chronological
Prior to 2000
- Conway, J. H. Mrs. Perkins's quilt. Proc. Cambridge Philos. 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.)
- 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.)
- DeTemple, Duane. Reflection Borders for Patchwork Quilts. Mathematics
Teacher, February 1986, 138–143.
- Harris, Mary. Mathematics and Fabrics. Mathematics Teaching 120 (1987),
43--45.
2000--2009
- Curtis, S.A. An Application of Functional Programming: Quilting. in
Trends in Functional Programming, edited by Stephen Gilmore,
Vol. 2, Intellect, 2000.
- 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.
- 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.
- Williams, Mary C. Quilts Inspired by Mathematics, in Meeting Alhambra,
ISAMA-BRIDGES Conference Proceedings 2003, ed. R. Sarhangi and C. Sequin,
393--399.
- Grünbaum, Branko. Periodic Ornamentation of the Fabric Plane:
Lessons from Peruvian Fabrics. In Symmetry Comes of Age: The Role of Pattern in
Culture, pp. 18–64. University of Washington Press, 2004.
- Fisher, Gwen. The Quaternions Quilts. FOCUS 25 (2005), no. 1, 4--5.
- Mabbs, Louise. Fabric Sculpture—Jacobs Ladder. In Bridges London:
Conference Proceedings 2006, pp. 561–568. Tarquin Publications, 2006.
- Curtis, S.A. Marble Mingling. Journal of Functional Programming, 16 (2006), issue 2, 129--136. (This has a passing mention of a quilting problem.)
- Goldstine, Susan. Fortunatus's Purse, in Making Mathematics with Needlework, A K Peters (2007), pp. 104--117. (Focuses on sewing and topology.)
- Szczepanski, Amy. Quilted Möbius Band, in Making Mathematics with Needlework, A K Peters (2007), pp. 11--28.
2010--2019
- Swanson, Irena. Quilting Semiregular Tessellations, in Crafting by Concepts, A K Peters (2011), pp. 186--232.
- Gould, Frank; Gould, S. Louise. Exploring the Projective Plane via Variations on the Faceted Octahedron.
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012), pp. 507--508
- Carlson, Christopher; Paley, Nina; Gray, Theodore. Algorithmic Quilting, in Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, ed. K. Delp, C. S. Kaplan, D. McKenna and R. Sarhangi, 231--238.
- Baker, Ellie; Wampler, Charles. Invertible Infinity: A Toroidal Fashion Statement, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
49--56.
- Matsumoto, Elisabetta, Quilting the Klein Quartic, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, ed. D. Swart, C.H. Sequin, and K. Fenyvesi,
411--414.
- Shepherd, Mary D. Variations on Snake Trail Quilting Patterns, in Figuring Fibers, American Mathematical Society (2018), pp. 83--99.
- Gould, S. Louise. Triply Periodic Polyhedra in Euclidean Three-Dimensional Space, in Figuring Fibers, American Mathematical Society (2018), pp. 139--172.
- Nimershiem, Barbara E. Piecing Together Link Complements, in Figuring Fibers, American Mathematical Society (2018), pp. 175--224.
- Ellison, Elaine Krajenke. The Sum of Odd Integers Quilt, in
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi,
505--508.
- Baker, Ellie; Lee, Kevin. Tessellated Seven-Color Tori, in
Proceedings of Bridges 2019: Mathematics, Art, Music, Architecture, Education, Culture, ed. S. Goldstine, D. McKenna, and K. Fenyvesi, 517--520.
- Wolff, Katja; Sorkine-Hornung, Olga. Wallpaper pattern alignment along garment seams. ACM Transactions on Graphics (TOG), Volume 38, Issue 4, July 2019,
Article No.: 62, pp. 1--12.
2020--2024
- Baker, Ellie; Baker, Daniel; Wampler, Charles. Infinitely Invertible Infinity, in Proceedings of Bridges 2020: Mathematics, Art, Music, Architecture, Education, Culture, ed. C. Yackel, R. Bosch, E. Torrence, and K. Fenyvesi,
83--92.
- Leake, Mackenzie; Bernstein, Gilbert; Davis, Abe; Agrawala, Maneesh. A Mathematical Foundation for Foundation Paper
Pieceable Quilts. ACM Trans. Graph., vol. 40, no. 4, Jul 2021, pp. 1--14.
- Campbell, Lewis; Delp, Kelly; Matsumoto, Elisabetta. Bending Seams - How to Create Couture Curves, in Proceedings of Bridges 2021: Mathematics, Art, Music, Architecture, Culture, ed. D. Swart, F. Farris, and E. Torrence, 249--252.
- Yackel, Carolyn. Wallpaper patterns admissible in itajime shibori, Journal of Mathematics and the Arts, 15:3-4 (2021), pp. 232--244.
- Baker, Ellie; Wampler, Charles; Baker, Daniel. Triply invertible scarf sewing adventures (and instructions). Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 22--49.
- Gould, S. Louise. Orbifold Jacket. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 50--61.
- Shepherd, Mary. Categorizing Drunkard's Path type quilting patterns. Journal of Mathematics and the Arts, 2023, Vol. 17, No. 1--2, 62--84.
- Stecher, Bobby; Yackel, Carolyn. Dyeing to Make an Orbifold, Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture, ed H. Verrill, K. Kattchee, S.L. Gould, and E. Torrence, 545--552.
- Wu, Jiangmei. The artistry and algorithms in fabric origami tessellations. Journal of Mathematics and the Arts, 2024, Vol. 18, No. 3--4, 201--221.
2025--