Name of this “cut 'n slide” fractal?

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?

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: