Crochet A Hyperbolic Plane

Of course, Liam needed a "Curly" of his own so I asked him what colors he would like and whipped this one up for him. The two playthings I made, one of which I gave to Kate and one to Liam were very easy to crochet. I thought you might like the instructions to make one yourself.

Liam's Curly

Curly 

Materials: 

Good cabled, cotton yarn 

A size G crochet hook (I used a Susan Bates.) 

A yarn needle 

Scissors 

Chain 10. Turn. 

Row 1: Skip one chain and *single crochet in the next chain, single crochet in the next chain, 2 single crochets in the next chain, repeat from the asterisk 2 more times, turn. 

Row 2: Chain 1, single crochet in the first single crochet of the row below, single crochet in the next stitch, 2 single crochets in the next stitch, repeat across the row. To change colors for a striped "curly" pull through the last two loops of the last stitch with the new color. 

Repeat this pattern of single crochet in each of two stitches, two single crochets in the next stitch, for every row, changing colors every two rows (carry the unused colors up the side). Sometimes there will be extra stitches at the end of a row. Single crochet in each one, then after turning start the pattern again. 

I worked ten rows for a piece about 4 1/2 inches across. 

Sew the two flat edges together, incorporating the carried strands.

Thread the needle through the stitches in the center and tighten it up. 

With a contrasting yarn, overcast stitch through the top of each single crochet in the last row. 

Thread in any remaining ends. 

Wing Patterns

Here is visual inspiration to share. My husband, Richard, took these photos separately and only recently combined them for this grouping. Each butterfly presents such beautiful colors, lines and forms, yet together they are even more exciting. Maybe they will give you some ideas for your own craft work.

Kate's Curly

Here, I think, is an interesting example of the idea of domain change. From knowing crochet as a tool for designing pretty or useful items that are usually made from fabric, Daina Taimina created a paradigm shift when she saw crochet as a scientific/mathematical tool. She was seeking a concrete and mathematical way to express constant negative curvature (the hyperbolic plane). This curvature is found in nature in plants like curly kale and animals like the nudibranch. She is now well known among mathematicians and crocheters alike.

I have a copy of Daina's book, Crocheting Adventures with Hyperbolic Planes. The other day it called to me to pick it up. I read the first chapter and then set my hands to this strange form. After about ten rows I stopped to play with it, variously: opening it up, folding it, twisting it and wondering whether I should sew the side edges together or leave it as it is. I wasn't sure. In the end, I sewed it up and recognized it as a very cool baby toy, making my own domain shift. It is soft and lightweight, easy to pick up, colorful, can be packed into a pocket and shaken back into shape. As you can see Kate is a great tester!

My Own Hand-Brain Connection

I can put my finger on a specific place, on a specific night when I became consciously aware that in pursuing my own handwork skills, creatively, I had changed my brain, maybe my IQ and definitely the way I would look at handwork forever after - even the way I would see the world.

I had gained a material compass. I understood that all material has its limits of size; things can only be built so large or so small without reaching the limits of the material. I understood that all material had a grain, a bias, a dimensionality, and that to make something in 3-dimensions, those factors in the source material had to be taken into account. Wood, fiber, fabric, metal and even the universe has its own limits to be reckoned with. Yet within those limits, creativity is boundless.

I understood something of the ideas of telescoping and spiraling. Think of: nesting boxes, matroyshkas, a photographer photographing a photographer, photographing a photographer.... These are good skills to have when deciding the form of an object coupled with its texture, line, pattern and color or when changing sizes and proportions. The brain must be able to slip-slide with purpose. Isn't it true? And sometimes we shut down and forget those functions when we most need to transfer them, as in scheduling a hectic day or planning a complex meal. Another thing I learned was how to keep the overall picture in my mind while paying attention to details.

How did I learn all these things? Mostly by pursuing a range of fiber crafts that culminated in original doll making. They taught me skills and philosophy I could never have learned in school. I strongly support handwork as an educational endeavor!

Original Wrist Distaffs

My husband has been playing around with a new application called Diptic on his iPad. He presented me with this little gift this morning after shooting the photos of my newest wrist distaffs. I love this small collage! I want to learn how to use Diptic myself. In the meantime, both distaffs have been added to my Etsy shop. For those who don't know, a wrist distaff is a wonderful way to keep a supply of roving ready for drawing out and spinning. It makes drop spindling much more fun.