Making Mathematics with Needlework: Ten Papers and Ten Projectssarah-marie belcastro, Carolyn Yackel CRC Press, 12 дек. 2007 г. - Всего страниц: 200 Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions. |
Содержание
1 Quilted Mobius Band
| 12 |
2 Picking Up Stitches and Diophantine Equations
| 30 |
SelfSimilar Crochet
| 40 |
4 Only Two Knit Stitches Can Create a Torus
| 54 |
5 Symmetry Patterns in CrossStitch | 70 |
6 Socks with Algebraic Structure
| 90 |
7 Forunatuss Purse
| 104 |
8 Knot Cables Braids
| 118 |
9 The Graph Theory of Blackwork Embroidery
| 136 |
10 Stop Those Pants | 154 |
Back Matter | 179 |
| 183 | |
Back Flap | 186 |
Back Cover | 187 |
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Making Mathematics with Needlework: Ten Papers and Ten Projects sarah-marie belcastro,Carolyn Yackel Просмотр фрагмента - 2008 |
Часто встречающиеся слова и выражения
active needle algebraic algorithm angle bind-off blackwork braid group braid word cast-on edge ch-5 arch Chapter color construction create crochet cross-stitch curvature digraph Eulerian Eulerian circuit fiber arts Figure 11 Figure 9 finishing the row Fortunatus’s Purse fractal frieze patterns gauge geometry glide reflection gluing hyperbolic iterative K2tog Klein bottle knit stitch knitter lines of reflection loop M¨obius band M¨obius strip math mathematicians mathematics modular arithmetic multigraph number of stitches octagon Outseams P2tog pair pants pattern length pattern repeat photographs by sarah-marie picking up stitches piece polygonal projective plane pseudosphere purl quilt Reidemeister move rosette patterns rotation round sarah-marie belcastro sc in middle seam Section sewing shown in Figure side Sierpinski triangle sock square stitch and knit stitch markers stitches run surface sweater symmetry patterns Theorem thread tion topological torus twisted vertex vertices waist wrap and turn wrapped strand yarn zipper