Designed by
Rachel Bishop at
Math Scarves. The pattern is based on a "perfect shuffle", a shuffle that perfectly interleaves the cards. Do it enough times, and the cards will return to the original configuration - the "enough times" is represented by the number of caston stitches in the scarf. Certain cards will group together, and are represented by the same color -
modular arithmetic provides the logic behind the groupings. Rachel provides the full explanation under
What is a perfect shuffle?.
I think this is very exciting, since I love the underlying pattern behind the Fibonacci sequence, but this is really only a means to grade two colors. I do not find the practice of rotating different colors within the Fibonacci sequence to use more colors to be emotionally satisfying (or a true Fibonacci sequence - and it is not based on modular arithmetic, either). I have a lot of green yarn in worsted and DK weight with different shades and textures, that I think would work well in a scarf like this. Instructions to
knit your own perfect scarf. Alas, *.exe files will not run on the mac, so I will be using old fashioned pencil and paper.
It is also exciting since Rachel's was the first request to be added to the
geeky knitting section. So she gets the first geeky knitting update - several more in (hopefully) the near future. The good news is that geeky knitting is burgeoning on the web; the bad is that it might not be possible to archive it all. When I first started a year ago, I did extensive searches and felt pretty confident that I got nearly all the available material. Now I feel that I am barely scratching the surface. But, overall that is a good thing - better too much geek knitting than not enough.