Fractal Jigsaw puzzle

Not 100% sure as my math-fu is somewhat weak, but here are images of some dragon curves with arbitrary opening angles (e.g. 17π/32 in fig.3).

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Much better, and I’m learning quite a bit from your links. Figures 6 and 8 are closer. But there is the problem of branching. I can’t find good examples of dragons created by branching.

Did find a fun link:http://www.fractalcurves.com/HorrorVacui.html

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The feature of “self-similarity”, for instance, is easily understood by analogy to zooming in with a lens or other device that zooms in on digital images to uncover finer, previously invisible, new structure. If this is done on fractals, however, no new detail appears; nothing changes and the same pattern repeats over and over, or for some fractals, nearly the same pattern reappears over and over. Self-similarity itself is not necessarily counter-intuitive (e.g., people have pondered self-similarity informally such as in the infinite regress in parallel mirrors or the homunculus, the little man inside the head of the little man inside the head…). The difference for fractals is that the pattern reproduced must be detailed

(source)


The Hieghway Dragon, amongst others, uses a 90° angle, The Terdragon uses 120°; there are others.

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Damn_!

Boom! Semanticated!

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