Wednesday, December 7, 2011

Mandelbrot + Fractal Knitting

Yay! The new Knitty Winter bis issue is out, and in it is an article I wrote on Fractal Spinning, and an accompanying hat pattern, Mandelbrot.

mandel2

(It even made the Knittyspin front page! Ooooh!)

You may remember my previous experiment with fractals- I figured out why that one didn't work. The key is to pick something with nice, loooooong color segments. If they're not long enough, it won't be a noticable difference.

splits1

You can really see the striping on the brim of the Mandelbrot:

knittedbrim

...and in case you were wondering, this is what it looks like when I try to walk two dogs:

mandel7

I wonder where our blue leash went...hmmm....

9 comments:

  1. Gorgeous yarn, cute hat and great article!

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  2. Great article and pattern, and you look fab on the front page of KnittySpin. I was wondering about the leashes in your pattern pic; I knew you had company!

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  3. oooh, congratulations!

    looooong color segments, ok I hear you :)

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  4. That's a great looking hat, such bold colour!! Great photography too!

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  5. OoooooooMG! I LOVE your hat! The colors are fantastic! And congrats on the front page! :D

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  6. Thanks so much for the gorgeous and super easy pattern! I just made two. In ONE day! I impressed myself. Haha :)

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  7. I just came from Knitty, this is a gorgeous hat! I was just wondering what the connection is to actual fractals/the mandelbrot set is though. I'm a computer scientist by trade as well as a knitter, and I'd like it so much more if it had some mathematical basis. I know the pattern doesn't, and the yarn was spun in some way to facilitate self striping? But it doesn't seem like there were any set of fractal-like repetitive rules you were following to produce the results.

    Like the mandelbrot set itself is very interesting, it is a recursive function and the image is formed by all the points generated by the equation that doesn't cause it to spiral off into infinity. I'd love to know if this was incorporated into your work in any way.

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  8. Alex-

    Did you see the accompanying article on fractal spinning? The "Fractal" part comes into play because you split half the yarn into "smaller versions of the whole". It's not terribly complicated, and I didn't coin the term, but that's where the fractals come into play-

    http://www.knitty.com/ISSUEwbis11/KSFEATfractal.php

    The hat itself has nothing to do with the Mandelbrot set, it's just named after Benoît Mandelbrot for his work with fractals.

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