On Sun, Nov 06, 2011 at 08:26:32PM -0500, Kragen Javier Sitaker wrote:
> Serendipitously, I just made the remarkable discovery that the usual
> Gray code can be approximately generated by a very simple linear
> iterated function system (“IFS”) with two transforms.

This seems to have been previously discovered by [J.A. Oteo and J. Ros][0] in
2005; they investigated it in considerably more depth!

[0]: http://arxiv.org/abs/nlin/0510032
  (A fractal set from the binary reflected Gray code, J. Phys. A: Math. Gen. 38 
(2005) 8935-8949)
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