Dragon Curve fractals in LaTeX

Well TikZ/PGF is really capable and "lindenmayersystems" is simply a library feature. TikZ can even have a custom shading for the Mandelbrot set (page 688. in [1]). Note that even though it's a baked in TikZ shading it uses a single function shading PDF element, kind of neat.

[1] http://ctan.ijs.si/tex-archive/graphics/pgf/base/doc/pgfmanu...

This is also related to the binary complex number format discussed here: https://news.ycombinator.com/item?id=10648847

The set of complex numbers with all zeroes to the left of the radix point forms a fractal that is two dragon curves joined together: https://en.m.wikipedia.org/wiki/Complex_base_systems#Base_.E...

Without redundant code:

  \documentclass[border=3pt]{standalone}
  \usepackage{tikz}
  \usetikzlibrary{lindenmayersystems}
  \begin{document}
  \begin{tikzpicture}[line width=1pt, rounded corners=4pt,
          l-system={
              rule set={X -> X+YF+,Y->-FX-Y},
              axiom=FX, angle=90, order=11, step=10pt
          }
      ]
  \foreach \c/\r in {green/0, red/90, blue/180, orange/270}
      \draw[\c, rotate=\r] l-system;
  \end{tikzpicture}
  \end{document}

It's unreadable on the iPad. The text is gigantic, and it won't let me pinch to zoom out.