Mandelbrot set: Difference between revisions
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The <code>pst-fractal</code> package includes a Mandelbrot set drawn by emitting [[PostScript]] code (using [[PSTricks]]), so the actual work done in the printer or PostScript interpreter. |
The <code>pst-fractal</code> package includes a Mandelbrot set drawn by emitting [[PostScript]] code (using [[PSTricks]]), so the actual work done in the printer or PostScript interpreter. |
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<lang TeX> |
<lang TeX>\input pst-fractal |
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\input pst-fractal |
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(-2.5,-1.5)(1,1.5) |
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\end</lang> |
\end</lang> |
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The coordinates are a rectangle in the complex plane to draw, scaled up to <code>xWidth,yWidth</code> |
The coordinates are a rectangle in the complex plane to draw, scaled up to <code>xWidth,yWidth</code>. |
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More iterations with <code>maxIter</code> is higher resolution but slower. |
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<code>dIter</code> is a scale factor for the colours. |
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=={{header|LaTeX}}== |
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The <code>pstricks-examples</code> package which is samples from the PSTricks book includes similar for [[LaTeX]] (<code>25-02-6.ltx</code> and <code>33-02-6.ltx</code>). |
The <code>pstricks-examples</code> package which is samples from the PSTricks book includes similar for [[LaTeX]] (<code>25-02-6.ltx</code> and <code>33-02-6.ltx</code>). |
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{{libheader|PGF}} |
{{libheader|PGF}} |
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The PGF <code>shadings</code> library includes a Mandelbrot set |
The PGF <code>shadings</code> library includes a Mandelbrot set. |
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In PGF 3.0 the calculations are done in [[PostScript]] code emitted, so the output size is small but it only does 10 iterations so is very low resolution. |
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\usepackage{tikz} |
\usepackage{tikz} |
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\usetikzlibrary{shadings} |
\usetikzlibrary{shadings} |
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\begin{document} |
\begin{document} |
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\begin{tikzpicture} |
\begin{tikzpicture} |
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\shade[shading=Mandelbrot set] (0,0) rectangle (4,4); |
\shade[shading=Mandelbrot set] (0,0) rectangle (4,4); |
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\end{tikzpicture} |
\end{tikzpicture} |
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\end{document}</lang> |
\end{document}</lang> |
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=={{header|LuaTeX}}== |
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{{libheader|LuaTeX}} |
{{libheader|LuaTeX}} |
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[[LuaLaTeX]] plus pgfplots code can be found at [http://texwelt.de/wissen/fragen/3960/fraktale-mit-pgfplots http://texwelt.de/wissen/fragen/3960/fraktale-mit-pgfplots] |
[[LuaLaTeX]] plus pgfplots code can be found at [http://texwelt.de/wissen/fragen/3960/fraktale-mit-pgfplots http://texwelt.de/wissen/fragen/3960/fraktale-mit-pgfplots]. |
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The calculations are done by inline [[Lua]] code and the resulting bitmap shown with a PGF plot. |
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=={{header|TI-83 BASIC}}== |
=={{header|TI-83 BASIC}}== |
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