Here is a dump of my "Mathematical Knitting and Crochet" bookmarks. Included are patterns, galleries, articles, sites, tools, and general discussions of patterns that can be used in knitting and crochet.

Crocheted Möbius Scarf Instructions:

http://home.att.net/~susanBinKC/patterns.html?mobius.htmlKnitted Möbius Scarf@Everything2.com:

http://everything2.com/index.pl?node_id=1387180Knitted Mobius Scarf, Klein Bottle, and Klein Bottle Hat:

http://www.woolworks.org/patterns/klein.txtWoolly Thoughts:

http://www.woollythoughts.comThis entire site is worth exploring. There are a number of books and pamphlets available describing mathematical designs to knit or crochet in pillows, scarves, shawls, and afghans. The creators of this site also wrote

*No Pattern Knits,* which uses some mathematical techniques.

Priscilla's Probability Pullover:

http://www.fuzzygalore.biz/articles/probability.shtmlCabled sweater designed with the use of a die

Fibonacci Sequence:

http://www.fuzzygalore.biz/articles/fibonacci_seq.shtmlWays of using the Fibonacci sequence in your knitting

Homemade Topological Shapes:

http://web.meson.org/topology/Mobius Strip, Klein Bottle, and Real Projective Plane

Mobius Knitting:

http://www.math.wayne.edu/~isaksen/Expository/vismath-paper/Explores several methods

Crocheting the Hyperbolic Plane:

http://www.math.cornell.edu/~dwh/papers/crochet/crochet.htmlCrocheting the Hyperbolic Plane: An Interview with David Henderson and Daina Taimina

http://www.cabinetmagazine.org/issues/16/crocheting.phpCrocheting the Lorenz manifold:

http://www.enm.bris.ac.uk/staff/hinke/crochet/The Home of Mathematical Knitting (sarah-marie's mathematical knitting pages):

http://www.toroidalsnark.net/mathknit.htmlMöbius bands, Projective Planes, Klein bottles, Other Nonorientable Surfaces, Orientable surfaces, Hyperbolic plane, S3 scarf, Mini-braids. Also has links to more sites, both knitting and other fiber arts

Sierpinski Variations

http://www.math.ucsd.edu/~dwildstr/crochet/sierpinski.htmlIncludes pattern for crocheted hat and a gallery of other crocheted Sierpinski triangles

Fractal Crochet:

http://www.marypat.org/stuff/nylife/020325.htmlThe Institute for Figuring Gallery of Crocheted Hyperbolic Models:

http://theiff.org/oexhibits/05b.htmlWith lots of links to other similar stuff

The Institute for Figuring Crochet Coral Reef Project:

http://theiff.org/reef/index.html

Think that only Dale Chihuly can create beautiful artsy seascapes? Think again!

Crafting Geometry (*Craft Magazine* article - pdf):

http://cdn.oreilly.com/make/craft/01/craftinggeometry.pdf

Random Stripe Generator:

http://www.kissyourshadow.com/stripe_maker.php

Cellular Automaton Knitting with Perl:

http://chicago.pm.org/meetings/20040706/liz-1.html

Tesselated Fish Pattern:

http://knittingarrows.blogspot.com/2006/04/fish-return.html

Here's a picture of something like it:

http://www.rubber-ducky.net/blog/2005/07/fish-blanket-finished-isnt-it.html

Kimberley Chapman's Knitting: Baby's First DNA Model:

http://kimberlychapman.com/crafts/knit-gallery.html#dna