{"id":21727,"date":"2012-12-20T11:30:07","date_gmt":"2012-12-20T15:30:07","guid":{"rendered":"http:\/\/mathgradblog.williams.edu\/?p=21727"},"modified":"2012-12-20T11:30:07","modified_gmt":"2012-12-20T15:30:07","slug":"adventures-mathematical-knitting","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/mathgradblog\/2012\/12\/20\/adventures-mathematical-knitting\/","title":{"rendered":"Adventures in Mathematical Knitting"},"content":{"rendered":"

\"IMG_2644<\/a><\/p>\n

Two of my favorite things are math and knitting.\u00a0 Perhaps surprisingly, there is a fair amount of overlap between them.\u00a0 On Ravelry<\/a>, my favorite knitting site, I have seen patterns for everything from lacy triangular shawls meant to look like Sierpinski\u2019s gasket to seamless single-sided cowls that double as M\u00f6bius strips.\u00a0 Dr. Sarah-Marie Belcastro, a mathematician with Smith College and Clark University, maintains The Home of Mathematical Knitting<\/a>, where the fiber arts on display include handmade Klein bottles and projective planes.\u00a0 She also provides links to a variety of resources on the topic.<\/p>\n

Last spring, I started getting interested in fractals and decided I would like to knit some.\u00a0 I couldn\u2019t find any patterns I liked for fractal-print hats, so I drew up a color chart of my own.\u00a0 My favorite hat pattern is Keiyla\u2019s Basic Beanie<\/a>, by Renee Peterson, so I adapted the sizing to fit my chart and get a number of stitches that would be compatible with iterating the fractal.\u00a0 After a bit of trial and error, I got the hat in the picture.\u00a0 It\u2019s a little hard to see, but the triangular shapes are the type 1 quadratic Koch curve<\/a> at four iterations.\u00a0 I had some extra space left at the top, so I added some stripes representing the first few terms of the Fibonacci sequence. \u00a0It was a fun experiment in combining two of my interests!<\/p>\n

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Two of my favorite things are math and knitting.\u00a0 Perhaps surprisingly, there is a fair amount of overlap between them.\u00a0<\/p>\n

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