This is a temporary page (until we find it a better home) for the Needlework Cocurricular (or is it a crafts cocurric?) for Spring '05. For now, it's being used to store links of interest....

## Formal Publications

Daina Taimina and David Henderson, "Crocheting the Hyperbolic Plane", Mathematical Intelligencer, Vol. 23, No. 2, pp. 17-28, Spring 2001.

Daniel C. Isaksen and Alabama P. Petrovsky, "Moebius Knitting", Bridges: Mathematical Connections in Art, Music, and Science, ed. R. Sarhangi, 1999, 67--76.

- Includes a stitch of their invention.

Hinke Osinga and Bernd Krauskopf, "Crocheting the Lorenz Manifold", Briston Centre for Applied Nonlinear Mathematics Preprint. (and a photo)

Judith J. McDonald and J. Harley Weston, Friezing at Washington State University, Mathematical Notes, Washington State University, Vol. 46, No. 2, June 2003.

The website at Frieze designs in indigenous art by the same authors gives a very readable discussion of similar territory.

* See also the Ethnomathematics Digital Library, where I found some of the above and the below

Bier, C. (2001). Mathematical aspects of Oriental carpets (Special issue of Symmetry: Culture and Science). Symmetry in Ethnomathematics, 12(1-2), 67-77. Budapest, Hungary: International Symmetry Foundation.

Mayan Geometry: a geometry of mosaics en espanol

- == Web Pages == === Knitting and Crochet ===

I grouped these together because many sites include both and often patterns can be translated back and forth.

sarah-marie's mathematical knitting pages includes these links:

- AMS Special Session in Mathematics and Mathematics Education in Fiber Arts (at the January 2005 Joint Mathematics Meetings in Atlanta, GA) (see below)
Mobius bands (includes instructions and an embedding of K6)

- Projective Planes (pics and instructions)
- Klein bottles (pics and instructions)
- Hyperbolic plane (pics and allusion to instruction; knitted; see crochet instructions in the Taimina and Henderson paper)
- S3 scarf (pics, but instructions are obvious from pic)
- Mini-braids (pics)
- Selected Mathematical Knitting Links

Claire Irving did a master's thesis on

*Embeddings and Immersions of Real Projective Spaces*and has the knitting to show for it.- "My sphere-with-crosscap, Steiner's Roman Surface and Boy's Surface (versions of the real projective plane) are shown ... together with my knitted Klein Bottle." (pics)
Includes instructions

eleanor kent textile arts Fractal knitting (on planar squares; pics only)

Fuzzy Galore articles (w/instructions, pics, and math) on

Design your own Mobius scarf included because it has such a different look to it -- it's far and away the prettiest one I've seen, though less math-y.

Homemade Topological Shapes These tend to have lots of seams.

- Moebius strip
- Klein Bottle
- Real Projective Plane

math for craft design is pretty nontechnical, but includes

- a (knitted) Fibonacci afghan
- a Mobius scarf (actually three different knit patterns and a crochet pattern)

Woolly Thoughts Afghans === Embroidery and Needlepoint ===

Pascal's Triangle in needlepoint (pics and explanation) === Quilting ===

- Quilting links
Math Quiltspics include geometry | perspective | topology | irrational numbers | feathered star | fractals | tessellations and tiling including Escher

Penrose Tiling (pic, math, links)

The Mathematics Quilt (pics)

Various Enterprises For Exploring Mathematics Through Quilts

Mathematical Quilts book and poster

- Knots
- I haven't looked much for this topic. I know it's a big area waiting for exploration.
*I would bet that you could apply principles from knitting and crochet to***netting**, which is more knotwork than needlework -- though web resources for netting are sparse. A Klein net might be interesting, though. -Katie

The KnotPlot Site an OpenGL program and lots of good info

- I haven't looked much for this topic. I know it's a big area waiting for exploration.

(Obviously lots more out there)

Symmetry and Pattern, The Art of Oriental Carpets === Miscellaneous ===

Ethnomathematics A huge collection of resources on a much broader topics, but includes many links of interest.

Pulse Microsystems The world's #1 Embroidery Software.

- This is serious industrial embroidery.
How many companies would even

**want**to say that they have "... the largest pool of programming, mathematics and embroidery expertise in the industry."

Acme Klein Bottles Glass, but worth reading anyway.

## Conferences

AMS Special Session in Mathematics and Mathematics Education in Fiber Arts

- To be held Friday, January 7, 2005, 1:00 p.m.-5:50
*I want to go!!!*- The page has pictures of what will be exhibited
- There are also links to the abstracts (here with my annotations from the abstracts)
1:00 - 1:20: sarah-marie belcastro An Overview of Mathematics in Fiber Arts, with an Attempt to Answer an Age-Old Question. (Topology of knitting stitches) 1:30 - 1:50: Mary Shepard Symmetries in Cross-Stitch. 2:00 - 2:20: Josh Holden The graph theory of Blackworkembroidery. (Graph theory) 2:30 - 2:50: Daina Taimina Experiencing and Learning Hyperbolic Geometry from Crocheted Models. [also see paper above] 3:00 - 3:10: Amy Szczepanski Quilts in the Classroom. (Geometry, Moebius Quilt) 3:15 - 3:25: Susan Goldstine Fortunatus's Purse (Real Projective Plane) 3:30 - 3:55: EXHIBIT 4:00 - 4:10: Jake Wildstrom The Sierpinski Variations: Self-Similar Crochet. (Cellular automata) 4:15 - 4:25: Sharon Frechette Cable patterns in Aran knitting, and braid groups. 4:30 - 4:50: Lana Holden Picking up Stitches. (Diophantine equations; math to solve knitting problems) 5:00 - 5:20: Dan Isaksen Braid groups and knitting. (Topology of knitting) 5:30 - 5:50: Carolyn Yackel Realizing Algebraic Structures Through Knitting. Mid-Session (3:30 - 4) we will host the Mathematical Fiber Arts Exhibit.

## Literary allusions

- Fortunatus's Purse (from Lewis Carroll, Sylvie and Bruno) -- the story that inspired Susan Goldstine's talk in the Math session above.

## Politics

Men Who Knit:

http://www.menknit.net especially http://www.menknit.net/history.html

Clinton W. Trowbridge "When Knitting Was A Manly Art"

*Christian Science Monitor*December 05, 1997.