4 ms·
Dragon Curve fractals in LaTeX
- DerekL 11y agoIt's unreadable on the iPad. The text is gigantic, and it won't let me pinch to zoom out.
- DerekL 11y agoThis is also related to the binary complex number format discussed here: https://news.ycombinator.com/item?id=10648847 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_.E2.88.921.C2.B1i https://en.m.wikipedia.org/wiki/Complex_base_systems#Base_.E...
- trurl42 11y agoWithout 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}
- leni536 11y agoWell 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/pgfmanual.pdf http://ctan.ijs.si/tex-archive/graphics/pgf/base/doc/pgfmanu...