{ "metadata": { "name": "", "signature": "sha256:f6ec1ec98b2867b8097ebc7a3da6ff67297111b2ea9dd8b3ea869d60324ba145" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "The Mandelbrot fractal is a well known mathematical object, foremost for its beauty. You can read about it in [Wikipedia](http://en.wikipedia.org/wiki/Mandelbrot_set) or try a related [Google image search](https://www.google.fr/search?q=mandelbrot+fractal&tbm=isch&tbo=u&source=univ&sa=X&ei=eCPGU_7UKMOo0QWMhYDQBA&ved=0CC0QsAQ). There even are [hypnotic videos made about it](http://www.youtube.com/watch?v=0jGaio87u3A) on YouTube.\n", "\n", "Anyhow, in this post, we're going to explore how to draw it, with the help of a couple of Python commands." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# necessary imports\n", "%matplotlib inline\n", "from pylab import linspace, zeros, imshow, complex64, subplot, figure" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, we're defining the function that will determine if a complexe number is part of the Mandelbrot set, or not. \n", "\n", "Simply said, the function below, when given a complex number $z$ as an input, can grow large or stay small. It consists of a loop repeatedly squaring the previous value.\n", "\n", "To determine if $z$ is part of the Mandelbrot set, we just compare its modulus to a given value (say 1000, for example)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def f(z, n=100):\n", " f = 0\n", " for i in range(n):\n", " f = f**2 + z\n", " return f" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function above is evaluated on a grid defined in the next cell. The chosen number of points in the grid makes the loop fast or slow, depending on how big it is." ] }, { "cell_type": "code", "collapsed": false, "input": [ "num = 200\n", "grid_x = linspace(-1.7, 0.6, num=num)\n", "grid_y = linspace(-1.4, 1.4, num=num)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then initialize the matrix that will hold the complex-type data return by the function `f`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "data = zeros((grid_x.size, grid_y.size), dtype=complex64)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below comes the loop that evaluates the function `f` on the previously defined grid. This is the part of the program that takes time." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%time\n", "for ind_x, x in enumerate(grid_x):\n", " for ind_y, y in enumerate(grid_y):\n", " data[ind_x, ind_y] = f(x + 1j * y)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Wall time: 20.2 s\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "-c:4: RuntimeWarning: overflow encountered in cdouble_scalars\n", "-c:4: RuntimeWarning: invalid value encountered in cdouble_scalars\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can plot the computed boundaries of the Mandelbrot set with the following code." ] }, { "cell_type": "code", "collapsed": false, "input": [ "extent = (min(grid_x), max(grid_x), min(grid_y), max(grid_y))\n", "imshow(abs(data.T)**2 < 1000, cmap='gray', extent=extent)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another fun thing to do is to interactively explore the images resulting from plotting the modulus of the data using the latest IPython widget machinery. Unfortunately, this does not render to the static view." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.html.widgets import interactive" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_vmax(vmax=0.2, cmap='hot'):\n", " imshow(abs(data.T), cmap=cmap, vmax=vmax, extent=extent)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "interactive(plot_vmax, \n", " vmax=(0.1, 2, 0.05), \n", " cmap=('hot', 'jet'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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aDAEougtmn/jPtdI7nxnLNdQLaqW7NhJThDqmngXWncAjiEeQdpI6T8ODKJny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\nNkN3pAAlunDo0KHwg7mjo6O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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the previous explorations, I the following two nicely colored figures from the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(10, 10))\n", "for sub, vmax in enumerate([0.1, 0.45, 1.05, 2.]):\n", " subplot(2, 2, sub + 1)\n", " plot_vmax(vmax, 'jet')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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B7mAPhkJ+FWOv9vA6RyIqVLgzeLzixOtNcY95h4DciwY5eCCtK0rcoNrc8shg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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(10, 10))\n", "for sub, vmax in enumerate([0.1, 0.45, 1.05, 2.]):\n", " subplot(2, 2, sub + 1)\n", " plot_vmax(vmax, 'hot')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Chg0b6O/v58yZM+zcuZPxUIi6vXuBs9D2OfjXk1DopuCFbnbs+E16eh7w2GPO4k2CIKSD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\npre3l87OTnJycujt7SUzM5Pu7u6+S/AOH86F7GwyMzO58sorAfpuN23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JyHg7119/S+oa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mjjAhkw5dZMWv595TBaKiJe4sWvrA9+kCuOHKEHe3Y+Z9QVvIePvXpTnOdC/0QiXp1KvGQH47H7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\nyjXlWLqDeopU8SgSVgdrwPgwx42C1tJTCOQMJBqDoVdczdTZy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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This post was entirely written using the IPython notebook. You can see a static view or download this notebook with the help of [nbviewer](http://nbviewer.ipython.org/urls/raw.github.com/flothesof/posts/master/20140417_Mandelbrot.ipynb)." ] } ], "metadata": {} } ] }