Mathematics and fiber arts: Difference between revisions
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==Quilting== |
==Quilting== |
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⚫ | 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]], [[ellipse]], [[hyperbola]], [[parabola]], [[The Sacred Cut]], [[Leonardo da Vinci's Claw]], [[Koch curve]], [[Clifford torus]], [[Pascal's Pumpkin]], the [[Chartres Cathedral Labyrinth]], [[San Gaku]], [[Mascheroni cardioid]], the Music of the Genes, [[Pythagorean triple]]s, [[Spidron]]s, the six [[trigonometry|trigonometric]] [[function]]s, and the Peacock. The authors believe can be very effective as teaching tools in the classroom. The quilt can be used as a visual springboard for the student and teacher to begin the lesson in an interesting way. |
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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: |
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==Knitting and crochet== |
==Knitting and crochet== |
Revision as of 15:12, 27 September 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, ellipse, hyperbola, parabola, The Sacred Cut, Leonardo da Vinci's Claw, Koch curve, Clifford torus, Pascal's Pumpkin, the Chartres Cathedral Labyrinth, San Gaku, Mascheroni cardioid, the Music of the Genes, Pythagorean triples, Spidrons, the six trigonometric functions, and the Peacock. The authors believe can be very effective as teaching tools in the classroom. The quilt can be used as a visual springboard for the student and teacher to begin the lesson in an interesting way.
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}}
: Unknown parameter|coauthors=
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.