Mathematics and fiber arts: Difference between revisions
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*[http://www.cabinetmagazine.org/issues/16/crocheting.php Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina] |
*[http://www.cabinetmagazine.org/issues/16/crocheting.php Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina] |
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*[http://www.toroidalsnark.net/mkss.html AMS Special Session on Mathematics and Mathematics Education in Fiber Arts] |
*[http://www.toroidalsnark.net/mkss.html AMS Special Session on Mathematics and Mathematics Education in Fiber Arts] |
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*[http://www.awesomequilts.com/docman/doc_details/fabric-saver-%11-quilt-backing-software/ Math Formula To Save Fabric on Quilt Backings] |
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[[Category:Mathematics and culture]] |
[[Category:Mathematics and culture]] |
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[[Category:Quilting]] |
[[Category:Quilting]] |
Revision as of 15:49, 23 November 2007
Mathematical ideas have been used as inspiration for a number of fiber arts including quilt making, knitting, cross-stitch, crochet, embroidery and weaving. A wide range of mathematical concepts have been used as inspiration including topology, graph theory, number theory and algebra.
Quilting
The IEEE Spectrum has organised a number of competitions on Quilt Block Design, and several books have been published on the subject. Notable quilt makers include Diana Venters and Elaine Ellison, who have written a book on the subject Mathematical Quilts: No Sewing Required. Examples of mathematical ideas used in the book as the basis of a quilt include the golden rectangle, conic sections, Leonardo da Vinci's Claw, the Koch curve, the Clifford torus, San Gaku, Mascheroni's cardioid, Pythagorean triples, spidrons, and the six trigonometric functions.
Knitting and crochet
Knitted mathematical objects include the Platonic solids, Klein bottles, Boy's surface, the Lorenz manifold, and the hyperbolic plane.
Cross-stitch
Many of the wallpaper patterns and frieze groups have been used in cross-stitch.
Weaving
Ada Dietz (1882 – 1950) was an American weaver best known for her 1949 monograph Algebraic Expressions in Handwoven Textiles, which defines a novel method for generating weaving patterns based on algebraic patterns. Her method employs the expansion of multivariate polynomials to devise a weaving scheme. Dietz' work is still well-regarded today, by both weavers and mathematicians. Along with the references listed below, Griswold (2001) cites several additional articles on her work.
References
- Ellison, Elaine (1999). Mathematical Quilts: No Sewing Required. Key Curriculum. ISBN 155953317X.
{{cite book}}
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ignored (|author=
suggested) (help) - Henderson, David; Taimina, Daina (2001), "Crocheting the hyperbolic plane" (PDF), Math. Intelligencer, 23 (2): 17–28
- Osinga, Hinke M,; Krauskopf, Bernd (2004), "Crocheting the Lorenz manifold", Math. Intelligencer, 26 (4): 25–37
{{citation}}
: CS1 maint: extra punctuation (link) CS1 maint: multiple names: authors list (link) - Dietz, Ada K. (1949). Algebraic Expressions in Handwoven Textiles (PDF). Louisville, Kentucky: The Little Loomhouse.
External links
- Mathematical Quilts home page.
- Two Penrose tiling quilts: [1] [2]
- IEEE Spectrum's fifth Quilt Block Design Contest winners
- Crocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina
- AMS Special Session on Mathematics and Mathematics Education in Fiber Arts
- Math Formula To Save Fabric on Quilt Backings