By Sarah-Marie Belcastro
Mathematical craftwork has develop into highly regarded, and mathematicians and crafters alike are desirous about the connection among their crafts. the focal point of this publication, written for mathematicians, needleworkers, and lecturers of arithmetic, is at the courting among arithmetic and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). each one bankruptcy starts off with an outline of the math and the needlework at a degree comprehensible to either mathematicians and needleworkers, via extra technical sections discussing the math, easy methods to introduce the maths within the lecture room via needlework, and the way to make the needlework venture, together with styles and directions.
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Extra info for Making mathematics with needlework : ten papers and ten projects
Sample text
Size 8 16 circular needle and double-pointed needles (or size needed to obtain gauge). Gauge 16 stitches and 21 rows = 4 . ) CHAPTER 2 ✐ ✐ ✐ Figure 7. Photograph of the bi-directional hat. Figure 8. The hat adjusts easily to yarns of different gauges and is amenable to embellishment. PICKING UP STITCHES AND DIOPHANTINE EQUATIONS ✐ 37 ✐ ✐ ✐ Figure 9. Picking up stitches from the purl side. Finished Size The actual circumference of the hat is 20 . It is designed to fit snugly and comfortably stretches to fit most adults (21 –23 head circumference).
First, as mentioned above, it must be of finite area; second, it must be connected. Formally assembled, we have an explicit definition of design below: Definition 1 A design D = (C, f , S) is a triple consisting of a set of colors C, a function f : R2 → C representing the coloring, and a connected region S ⊂ R2 of finite area. We will be using the set of positive integers N as our usual color set, so we may write (N, f , S) as simply (f , S). Notice that f need not be onto, which corresponds to the fact that in our crocheting we will be using only a finite, indeed small, number of colors or stitch types.
Knitting Without Tears. Simon & Schuster, New York, 1971. PICKING UP STITCHES AND DIOPHANTINE EQUATIONS ✐ 39 ✐ ✐ ✐ CHAPTER 3 the sierpinski variations: self-similar crochet D. JACOB WILDSTROM ✐ ✐ ✐ ✐ 1 Overview Simple projects in crochet are often designed to allow arbitrary resizing. Most crochet artisans choose scarves as their first projects because the item can be considered done whenever the artist feels the scarf is long enough. A similar design philosophy can be applied to a shawl, which is a triangle worked from a point rather than a rectangle worked from an edge.
