{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "##
Iterated complex factorial. Gamma function fractals
##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Recently we came across a discussion on [*Gamma Function and Fractal Factorials*](https://plus.google.com/collection/8zrhX), having as starting point this [blogpost](http://www.mathistopheles.co.uk/2015/05/14/fractal-factorials/). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this IPython Notebook we give the Python code to reproduce the [Mathistopheles' results](http://www.mathistopheles.co.uk/2015/05/14/fractal-factorials/), and experiment further with this kind of fractals." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The general properties of Gamma function can be found\n", "[here](http://www.tau.ac.il/~tsirel/dump/Static/knowino.org/wiki/Gamma_function.html).\n", "\n", "The basic idea is to study through numerical experiments how behaves the discrete dynamical system defined by the complex function $f(z)=\\Gamma(z+1)$.\n", "\n", "\n", " To study the dynamics of this map, one computes iterates $f^n=f\\circ f \\circ \\cdots \\circ f$, and the orbit of a point $z$ through $f$ is the sequence $(z_n)$ with $z_n=f^n(z)$.\n", "\n", "Since for positive integers we have $\\Gamma(n+1)=n!$, one extends the factorial to a complex number $z$, $z\\neq k$, with $k$ an integer, $k\\leq 0$. Namely $z!=\\Gamma(z+1)=f(z)$.\n", "The iterated factorial of $z$ is $f^n(z)$. For example $((z!)!)!=f^3(z)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a numerical experiment illustrating dynamical behaviour of a few orbits." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.special import gamma\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable # we need this function to locate colorbars\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us compute a segment of orbit of a point $z_0=z$, i.e. a few terms of the associated sequence $z_n=\\Gamma(z_{n-1}+1)$:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.112294242346326 + 0.323612885501927j)\n", "(0.874251610757277 - 0.106907952790729j)\n", "(0.948777931190684 - 0.0344226143472293j)\n", "(0.978939780955043 - 0.0131190526063302j)\n", "(0.991207960208101 - 0.00532017265947946j)\n", "(0.996303046707114 - 0.00221084553826231j)\n", "(0.998440602150385 - 0.000927985087495601j)\n", "(0.999341357858007 - 0.000391146097995793j)\n", "(0.999721652071882 - 0.000165158278610297j)\n", "(0.999882339530896 - 6.97884699652631e-5j)\n", "(0.999950258692482 - 2.94987085551536e-5j)\n", "(0.999978970814976 - 1.2470383308318e-5j)\n", "(0.999991109308073 - 5.27206671295952e-6j)\n", "(0.999996241175832 - 2.22890861209908e-6j)\n", "(0.999998410831796 - 9.42340744709546e-7j)\n", "(0.999999328125252 - 3.98405671695687e-7j)\n", "(0.999999715942002 - 1.68439456525581e-7j)\n", "(0.99999987990475 - 7.12135242212195e-8j)\n", "(0.999999949225613 - 3.01079554434357e-8j)\n", "(0.999999978533385 - 1.27291706641559e-8j)\n", "(0.999999990924252 - 5.38169373052753e-9j)\n", "(0.999999996162916 - 2.27529576533372e-9j)\n", "(0.999999998377741 - 9.6195940010783e-10j)\n", "(0.999999999314134 - 4.06701364080917e-10j)\n", "(0.999999999710027 - 1.7194696556683e-10j)\n" ] } ], "source": [ "z=1+2*1j\n", "for k in range(25):\n", " z=gamma(z+1)\n", " print z " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We notice that the sequence $z_n$ approaches 1." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(5.77861687872-1.48371352226j)\n", "(-369.648653382-156.601091536j)\n", "(-0-0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n", "(1+0j)\n" ] } ], "source": [ "z=3-0.2*1j\n", "for k in range(10):\n", " z=gamma(z+1)\n", " print z " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(5.73689190891-1.36064649141j)\n", "(-306.495252172-227.687734931j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n", "(nan+nan*j)\n" ] } ], "source": [ "z=2.9899809160305342-0.18574297188755021*1j\n", "for k in range(10):\n", " z=gamma(z+1)\n", " print z " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Choosing randomly points in the complex plane, their orbits either approach 1 or after a number of iterations\n", "the function gamma returns a nan (not a number), except for fixed points of the function $f(z)=\\Gamma(z+1)$, i.e. points $z$, sucha that $f(z)=z$.\n", "\n", "$z=1$ and $z=2$ are fixed points:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us check if $z_0=1$ and $z_0=2$ are attracting, repelling or neutral fixed points, i.e. if $|f'(z_0)|$ is less than 1, greater than 1 or equal to 1. For we import mpmath library: " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import mpmath as mpm " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "mpmath is a Python library for real and complex floating-point arithmetic with arbitrary precision. It provides functions to evaluate special mathematical functions such as gamma, zeta, hurwitz, and more.\n", "The function of interest for gamma fractals is mpmath.factorial(z)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The derivative of mpm.factorial at 1 is:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] } ], "source": [ "\n", "deriv = mpm.diffs(mpm.factorial, 1) # deriv is a generator \n", "print next(deriv)\n" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.0\n" ] } ], "source": [ "deriv = mpm.diffs(mpm.factorial, 2) \n", "print next(deriv)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Hence $1$ is a neutral fixed point and 2 is repelling. Since $f'(1)=1$ is a root of unity, $1$ is a rationally neutral fixed point. \n", " \n", " *Open question*: Does this function exhibit more fixed points or periodic points (points $z$ such that there exists a positive integer $q$, and $f^q(z)=z$)?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to illustrate how fast the orbits are attracted by 1 or they reach a not a number, nan, we adapt to this case the Escape Time Algorithm used to generate\n", "[Julia sets](http://nbviewer.ipython.org/github/empet/Math/blob/master/Julia-set.ipynb).\n", "\n", "To each point $z_0$ one associates\n", "an integer $n$, which is either the first iterate that is at a distance less than $0.005$ from $1$\n", "or the modulus $|z_n|$ is a nan. If in a prescribed number of iterations, Miter, no one of the two conditions\n", "is met than the Miter is associated to that point:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def iterGamma(z,Miter):\n", " \n", " for n in range(Miter):\n", " if np.abs(z-1)<0.005 or np.isnan(np.abs(z)):\n", " return n \n", " z=gamma(z+1) \n", " \n", " return Miter \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next Python function generates the visual representation of the patterns associated to the function $f(z)=\\Gamma(z+1)$, through the above algorithm. More precisely, to a narrow grid of a rectangular region in the complex plane, one associates an array w of integer numbers, n, returned by the iteratedGamma function. This array is transformed into an image, mapping the n values to a colormap. \n", "\n", "After many experiments we decided to use the cubehelix colormap for most of our plots in this IPython Notebook. The list of all colormaps provided by matplotlib can be found [here](http://matplotlib.org/users/colormaps.html)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plotGammaiterated(re, im, cmap, filename=False, N=100, Miter=50):\n", " \n", " # re is a tuple giving the interval on the real axis for the rectangular region\n", " # im is a tuple giving the interval on the imaginary axis\n", " # cmap is the name of the colormap used to plot the fractal set\n", " # filename is a string such as 'imagefile.png'\n", " # N is the number of points in an unit interval\n", " \n", " Nx=int((re[1]-re[0])*N)# horizontal resolution\n", " Ny=int((im[1]-im[0])*N)# vertical resolution\n", " x=np.linspace(re[0], re[1], Nx)\n", " y=np.linspace(im[0], im[1], Ny)\n", " w=np.zeros((Ny,Nx), dtype=int)\n", "\n", " for n in xrange(Ny):\n", " for m in xrange(Nx):\n", " z =x[m]+1j*y[n]\n", " w[n][m] = iterGamma(z, Miter)\n", " \n", " fig=plt.figure() \n", " ax = fig.add_subplot(111) \n", "\n", " im=plt.imshow(w, cmap=cmap, extent=(re[0], re[1], im[0], im[1]), interpolation='nearest', origin='lower') \n", " divider = make_axes_locatable(ax)\n", " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", " plt.colorbar(im, cax=cax)\n", " \n", " if (filename):\n", " plt.savefig(filename) " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rcParams['figure.figsize']=11, 12" ] }, { "cell_type": "code", "execution_count": 88, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAp0AAAHGCAYAAAA2dDCXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERFR5hg6iYiIiChzDJ1ERERElLn/D3Lx9h7WBH45AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((-5.5, 0),(-2,2), 'cubehelix' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Enlarging the above rectangle we get:" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAApQAAAJkCAYAAACvXbElAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((-5, 5),(-5,5), 'cubehelix' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We change the colormap:" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAApQAAAJkCAYAAACvXbElAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((-5, 5),(-5,5), 'gist_earth' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let us zoom a subregion in the above plot:" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rcParams['figure.figsize']=9,9" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAApUAAAF+CAYAAADTOuF7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlEpCCCGEENIy/x9wV9HXu1iVOgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((1.75, 3.75),(2,3.2), 'cubehelix', N=300, filename='gammafr.png' )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to test the conjecture that the orbits of some points approach the fixed point 1, while other escape to infinity or none of these conditions is met, we define a new function that returns a tuple of four elements, $(r,g,b,a)$, representing respectively the colors yellow, black and white.\n", "\n", "- yellow encodes the points whose orbit approaches 1\n", "- black encodes the points whose iterates escape to infinity\n", "- white encodes the third type of points (fixed points and possible points in other $f$-invariant sets)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def iterGamma3cols(z, Miter):\n", " \n", " for n in range(Miter):\n", " if np.abs(z-1)<0.005:\n", " return (1.0, 0.8, 0.0, 1.0)# yellow\n", " \n", " if np.isnan(np.abs(z)):\n", " return (0,0,0,1) #black\n", " z=gamma(z+1) \n", " \n", " return (1,1,1,1) #white" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plotGammaiter3cols(re, im, N=100, Miter=50, filename=False):\n", " \n", " \n", " Nx=int((re[1]-re[0])*N)\n", " Ny=int((im[1]-im[0])*N)\n", " x=np.linspace(re[0], re[1], Nx)\n", " y=np.linspace(im[0], im[1], Ny)\n", " w=np.zeros((Ny, Nx, 4), dtype=float)\n", "\n", " for n in xrange(Ny):\n", " for m in xrange(Nx):\n", " z =x[m]+1j*y[n]\n", " w[n][m] = iterGamma3cols(z, Miter)\n", " \n", " fig=plt.figure() \n", " ax = fig.add_subplot(111) \n", "\n", " im=plt.imshow(w, extent=(re[0], re[1], im[0], im[1]), interpolation='nearest', origin='lower') \n", "\n", " if(filename):\n", " plt.savefig(filename) " ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rcParams['figure.figsize']=10,10" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAATgAAAJPCAYAAADosMiOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBOMcugfXAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiter3cols(re=(1,7), im=(-6,6))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us zoom the central protuberance:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rcParams['figure.figsize']=10, 6" ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAEMCAYAAAAGWPgTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABAIv8Pf1v76S6ZUrQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiter3cols(re=(1.75,6.5), im=(-1,1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The colored representation of this protuberance is the following:" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmUAAAD+CAYAAAB7sXKOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((1.75,6.5), (-1,1), 'cubehelix', N=300, Miter=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A new zoom:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl0AAAEmCAYAAABYjyW0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiter3cols(re=(1.95,3), im=(-0.25,0.25), N=500)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and its colored version illustrates the self similarity:" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAEcCAYAAACRaFN6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((1.95,3), (-0.25,0.25), 'cubehelix', N=500, Miter=100)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rcParams['figure.figsize']=8, 8" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe4AAAEUCAYAAADtHtUpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEBGCG4AADJCcAMAkBGCGwCAjPw/lSEMD49AQYAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiter3cols(re=(-4.5,0), im=(-1.25,1.25), N=200)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfYAAAEGCAYAAACXebelAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkBAR7EEQBEGQEBHsQRAEQZAQ/wP8gyOeP4muCAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plotGammaiterated((-4.5,0), (-1.25,1.25), 'cubehelix', N=200, Miter=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To be continued :)\n", "\n", "This IPython Notebook is included in the folder Math:\n", "[https://github.com/empet/Math/blob/master/README.md](https://github.com/empet/Math/blob/master/README.md)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open(\"./custom.css\", \"r\").read()\n", " return HTML(styles)\n", "css_styling()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }