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I have used Lille Rosin's pattern for the look a like hat from her blog: http://lillerosinquilt.blogspot.com/2009/02/look-like-lua-fra-vm-i-alpin-2009-det.html
(blogger won't let me highlight anything anymore, and that makes it hard to make the link look a bit nicer...) Hope the link works though.
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I cast on the same amount of stitches as the pattern said, but didn't increase as many stitches and made the hat a bit smaller than the pattern said, and it fits perfectly! Maja is very pleased, and I don't have a problem with getting her to wear a hat anymore....