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Book Details2018
This is Chapter 2 of Figuring Fibers, edited by Carolyn Yackel and sarah-marie belcastro.
This self-contained chapter contains directions for a complete project in a downloadable PDF file. You may also purchase the entire volume or see a list of all chapters available for individual purchase.
Background for crafters:
Space-filling curves are a special type of fractal. Closer and closer approximations to the fractal curves form denser and denser designs that, if continued indefinitely, would completely fill a two-dimensional area. Coincidentally, the surface of an afghan is also two-dimensional, so such curves provide rich inspiration for afghan design. This chapter explains one attempt to wed fractals with crochet using a variation on the intermeshed grid technique. This gives us clean lines in the design and a lofty fabric that still has plenty of drape.
About Figuring Fibers:
Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!
ReadershipUndergraduate and graduate students and researchers interested in mathematical themes in needlework and fiber arts (e.g. crocheting, knitting, quilting).
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This is Chapter 2 of Figuring Fibers, edited by Carolyn Yackel and sarah-marie belcastro.
This self-contained chapter contains directions for a complete project in a downloadable PDF file. You may also purchase the entire volume or see a list of all chapters available for individual purchase.
Background for crafters:
Space-filling curves are a special type of fractal. Closer and closer approximations to the fractal curves form denser and denser designs that, if continued indefinitely, would completely fill a two-dimensional area. Coincidentally, the surface of an afghan is also two-dimensional, so such curves provide rich inspiration for afghan design. This chapter explains one attempt to wed fractals with crochet using a variation on the intermeshed grid technique. This gives us clean lines in the design and a lofty fabric that still has plenty of drape.
About Figuring Fibers:
Pick up this book and dive into one of eight chapters relating mathematics to fiber arts! Amazing exposition transports any interested person on a mathematical exploration that is rigorous enough to capture the hearts of mathematicians. The zenith of creativity is achieved as readers are led to knit, crochet, quilt, or sew a project specifically designed to illuminate the mathematics through its physical realization. The beautiful finished pieces provide a visual understanding of the mathematics that can be shared with those who view them. If you love mathematics or fiber arts, this book is for you!
Undergraduate and graduate students and researchers interested in mathematical themes in needlework and fiber arts (e.g. crocheting, knitting, quilting).