Can you identify this fractal--if in fact is has a name--based either upon its look or on the method of its generation? It's created in this short video.
It looks similar to a dragon fractal, but I don't think they are the same. Help, please?
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That is the twindragon. It is a two-dimensional self-similar set. That is it is composed of two smaller copies of itself scaled by the factor $\sqrt{2}$ as shown here:
Using this self-similarity, one can construct a tiling of the plane with fractal boundary. Analysis of the fractal dimension of the boundary is also possible, but it's a bit harder.
It's all truly great fun!
Mark McClure
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2Awesome! Thanks! I look forward to sharing the video and some information about the twindragon in an upcoming post on Math Munch. – Justin Lanier Jun 04 '13 at 17:28
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