Dragon curves are complex space-filling curves with a very simple origin. Fold a strip of paper in half, fold in half again, and again. Unfold the paper and you have a dragon curve. The dragons on this crochet wrap are what you get when you fold the paper 2, 4 or 7 times. They fit together to cover the surface.

The version shown is more of a stole, or wrap, than a scarf. It is too wide and heavy to be a scarf. The width and length can be changed by using thinner yarns and making more, or fewer repeats of the pattern.

The background is a simple filet grid made with approximately 500 metres (550 yards) of a plain DK yarn. Other yarns can be used but might change the overall size. Instead of making your own grid you could use any fabric with a square grid.

The dragons are applied as surface crochet. Any type of yarn can be used. Mohair, or textured, yarns work well because they fill the holes and blend together.

The wrap shown in the photos is approximately 25 cm (10”) by 200 cm (79”)

Applying the first dragon is a little tricky but once the first one is in place the rest can be added very easily.

The pattern is also available in Mufflermatics an ebook of mathematical scarves and shawls.