Dragon Curve

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Author

Gian

License

Creative Commons CC BY 4.0

Abstract

Four dragon curves tessellating the plane using tikz.

Order of recursion limited by TeX memory/compile timeout.

Tags

TikZ Fractals

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\documentclass[border=3pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{lindenmayersystems}

\begin{document}

\begin{tikzpicture}
\draw[line width=1pt,green,rounded corners=4pt] 
  l-system
  [l-system={
    rule set={X -> X+YF+,Y->-FX-Y},
    axiom=FX, 
    angle=90,
    order=11, 
    step=10pt
    }
  ];
\draw[line width=1pt,red,rounded corners=4pt, rotate=90] 
  l-system
  [l-system={
    rule set={X -> X+YF+,Y->-FX-Y},
    axiom=FX, 
    angle=90,
    order=11, 
    step=10pt
    }
  ];  
\draw[line width=1pt,blue,rounded corners=4pt, rotate=180] 
  l-system
  [l-system={
    rule set={X -> X+YF+,Y->-FX-Y},
    axiom=FX, 
    angle=90,
    order=11, 
    step=10pt
    }
  ];  
\draw[line width=1pt,orange,rounded corners=4pt, rotate=270] 
  l-system
  [l-system={
    rule set={X -> X+YF+,Y->-FX-Y},
    axiom=FX, 
    angle=90,
    order=11, 
    step=10pt
    }
  ];  

\end{tikzpicture}

\end{document}